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Call number: | SPRINGER-2016-9783319296470:ONLINE Show nearby items on shelf |
Title: | Models of Calcium Signalling |
Author(s): |
Geneviève Dupont |
Date: | 2016 |
Size: | 1 online resource (38 p.) |
Note: | 10.1007/978-3-319-29647-0 |
Contents: | Some Background Physiology -- The Calcium Toolbox -- Basic Modeling Principles: Deterministic Models -- Hierarchical and Stochastic Modeling -- Nonlinear Dynamics of Calcium -- Nonexcitable Cells -- Muscle -- Neurons and Other Excitable Cells |
ISBN: | 9783319296470 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Interdisciplinary Applied Mathematics: 43 |
Keywords: | Mathematics , Neurosciences , Biomathematics , Systems biology , Biological systems , Mathematics , Mathematical and Computational Biology , Biological Networks, Systems Biology , Neurosciences |
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Call number: | SPRINGER-2014-9783319007441:ONLINE Show nearby items on shelf |
Title: | Mathematical Modelling of the Cell Cycle Stress Response [electronic resource] |
Author(s): |
Elahe Radmaneshfar |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | The cell cycle is a sequence of biochemical events that are controlled by complex but robust molecular machinery. This enables cells to achieve accurate self-reproduction under a broad range of conditions. Environmental changesare transmitted by mole cular signaling networks, which coordinate their actions with the cell cycle. Thiswork presents the first description oftwo complementary computational modelsdescribing the influence of osmotic stress onthe entire cell cycle of S. cerevisiae. Our models condense a vast amount of experimental evidence on the interaction of the cell cycle network components with the osmotic stress pathway. Importantly, it is only by considering theentire cell cycle that we are able to make a series of novel predictions whi ch emerge from the coupling between the molecular components of different cell cycle phases. The model-based predictions are supported by experiments in S.cerevisiae and, moreover, have recently been observed in other eukaryotes. Furthermore our models r eveal the mechanisms that emerge as a result of the interaction between the cell cycle and stress response networks |
Contents: | A biological overview of the cell cycle and its response to osmotic stress and the |
factor | |
ODE model of the cell cycle response to osmotic stress | |
Boolean model of the cell cycle response to stress | |
Conclusion | |
List of equations, parameters and initial conditions | |
Effect of methods of update on existence of fixed points | |
ISBN: | 9783319007441 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Bioinformatics , Cell cycle , Physiology Mathematics |
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Call number: | SPRINGER-2014-9781461495215:ONLINE Show nearby items on shelf |
Title: | Computational Methods for Three-Dimensional Microscopy Reconstruction [electronic resource] |
Author(s): |
Gabor T Herman Joachim Frank |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Approaches to the recovery of three-dimensional information on a biological object, which are often formulated or implemented initially in an intuitive way, are concisely described here based on physical models of the object andthe image-formation pr ocess. Both three-dimensional electron microscopy and X-ray tomography can be captured in the same mathematical framework, leading to closely-related computational approaches, but the methodologies differ indetail and hence pose different challenges. The editors of this volume, Gabor T. Herman and Joachim Frank, are experts in the respective methodologies and present research at the forefront of biological imaging and structural biology. Computational Methods for Three-Dimensional Microscopy Reconstructio n will serve as a useful resource for scholars interested in the development of computational methods for structural biology and cell biology, particularly in thearea of 3D imaging and modeling |
Contents: | 1 Introduction |
2 Interchanging geometry conventions in 3DEM: Mathematical context for the development of standards | |
3 Fully automated particle selection and verification in single | |
particle cryo | |
EM | |
4 Quantitative analysis in iterative classification schemes for cryo | |
EM applications | |
5 High | |
resolution cryo | |
EM structure of the Trypanosoma brucei ribosome of a case study | |
6 Computational methods for electron tomography of influenza virus | |
7 Reconstruction from microscopic projections with defocus | |
gradient and attenuation effects | |
8 Soft X | |
ray tomography imaging for biological sampl | |
ISBN: | 9781461495215 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Applied and Numerical Harmonic Analysis, 2296-5009 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Bioinformatics , Physiology Mathematics , Visualization , Cell aggregation Mathematics |
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Call number: | SPRINGER-2014-9781461488668:ONLINE Show nearby items on shelf |
Title: | Waves in Neural Media [electronic resource] : From Single Neurons to Neural Fields |
Author(s): |
Paul C Bressloff |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Waves in Neural Media: From Single Cells to Neural Fields surveys mathematical models of traveling waves in the brain, ranging from intracellular waves in single neurons to waves of activity in large-scale brain networks. The workprovides a pedagogic al account of analytical methods for finding traveling wave solutions of the variety of nonlinear differential equations that arise in such models. These include regular and singular perturbation methods, weaklynonlinear analysis, Evans functions and wave stability, homogenization theory and averaging, and stochastic processes. Also covered in the text are exact methods of solution where applicable. Historically speaking, the propagation ofaction potentials has inspired new mathematics, particularly with regard tothe PDE theory of waves in excitable media. More recently, continuum neural field models of large-scale brain networks have generated a new set of interestingmathematical questions with regard tothe solution of nonlocal integro-differential equat ions. Advanced graduates, postdoctoral researchers and faculty working in mathematical biology, theoretical neuroscience, or applied nonlineardynamics will find this book to be a valuable resource. The main prerequisites are an introductory graduate cours e on ordinary differential equations and partial differential equations, making this an accessible and unique contributionto the field of mathematical biology. |
Contents: | Preface |
Part I Neurons | |
Single Neuron Modeling | |
Traveling Waves in One | |
Dimensional Excitable Media | |
Wave Propagation Along Spiny Dendrites | |
Calcium Waves and Sparks | |
Part II Networks | |
Waves in Synaptically | |
Coupled Spiking Networks | |
Population Models and Neural Fields | |
Waves in Excitable Neural Fields | |
Neural Field Model of Binocular Rivalry Waves | |
Part III Development and Disease | |
Waves in the Developing and the Diseased Brain | |
Index | |
ISBN: | 9781461488668 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Lecture Notes on Mathematical Modelling in the Life Sciences, 2193-4789 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Neurosciences , Differential Equations , Physiology Mathematics , Distribution (Probability theory) |
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Call number: | SPRINGER-2013-9783642328824:ONLINE Show nearby items on shelf |
Title: | Mathematical Modeling and Validation in Physiology [electronic resource] : Applications to the Cardiovascular and Respiratory Systems |
Author(s): |
Jerry J Batzel Mostafa Bachar Franz Kappel |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This volume synthesizes theoretical and practical aspects of both the mathematical and life scienceviewpoints needed for modeling ofthe cardiovascular-respiratory system specifically andphysiological systems generally.Theoretical points include model design,model complexity and validation in the light of available data, as well as control theory approachesto feedback delayand Kalman filter applications toparameter identification. State ofthe art approaches using parameter sensitivity are discussed fo renhancing modelidentifiability through joint analysis ofmodel structure and data. Practical examples illustratemodel development at various levels of complexitybased on given physiological information. The sensitivity-based approaches for examining model identifiability are illustrated by means of specific modeling examples. The themes presented address the current problem ofpatient-specific model adaptation in the clinical setting, where data is typically limited |
Note: | Springer eBooks |
Contents: | 1 Merging Mathematical and Physiological Knowledge: Dimensions and Challenges |
2 Mathematical Modeling of Physiological Systems | |
3Parameter Selection Methods in Inverse Problem Formulation | |
4 Application of the Unscented Kalman Filtering to Parameter Estimation | |
5 Integrative and Reductionist Approaches to Modeling of Control of Breathing | |
6 Parameter Identification in a Respiratory Control System Model with Delay | |
7 Experimental Studies of Respiration and Apnea | |
8 Model Validation and Control Issues in the Respiratory System | |
9 Experimental Studies of the Baroreflex | |
10 De | |
ISBN: | 9783642328824 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, 0075-8434 : v2064 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Human physiology , Biology Data processing |
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Call number: | SPRINGER-2013-9783319002095:ONLINE Show nearby items on shelf |
Title: | Conversations About Challenges in Computing [electronic resource] |
Author(s): |
Are Magnus Bruaset Aslak Tveito |
Date: | 2013 |
Publisher: | Heidelberg : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This text sheds light on how mathematical models and computing can help understanding and prediction of complicated physical processes how communication networks should be designed and implemented to meet the increasinglychallenging requirements from users and how modern engineering principles can lead to better and more robust software systems. Through interviews with 12 internationally recognized researchers within these fields, conducted by thewell-known science writer Dana Mackenzie and the scie nce journalist Kathrine Aspaas, the reader gets views on recent achievements and future challenges. |
Note: | Springer eBooks |
Contents: | Part I: Communications Systems: 1 The Nature of the Beast: An interview with Olav Lysne |
2 Igniting the New Internet: An interview with Keith Marzullo | |
3 The Internet of Things: An interview with Heinrich Stttgen | |
Part II: Computational Science: 4 The Mathematics of the Mind: An interview with Hans Petter Langtangen | |
5 Solving Puzzle Earth by Adaptive Mesh Refinement: An interview with Carsten Burstedde | |
6 Computational Inverse Problems Can Drive a Big Data Revolution: An interview with Omar Ghattas | |
7 Towards the Google Heart: An interview with Natalia Trayanova | |
8 As Si | |
ISBN: | 9783319002095 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer network architectures , Computer science , Differential equations, partial , Physiology Mathematics |
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Call number: | SPRINGER-2013-9783034806152:ONLINE Show nearby items on shelf |
Title: | Evolution Equations Arising in the Modelling of Life Sciences [electronic resource] |
Author(s): |
Messoud Efendiev |
Date: | 2013 |
Publisher: | Basel : Springer Basel : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in biological processes. The models and findings presented result from intensive discussions with microbiologists,doctors and medical staff, physicists, chemists and industrial engineers and are based on experimental data. They lead to a new class of degenerate density-dependent nonlinear reaction-diffusion convective equations that simultaneouslycomprise two kinds of degeneracy: porous -medium and fast-diffusion type degeneracy. To date, this class is still not clearly understood in the mathematical literature and thus especially interesting. The author both derivesrealistic life science models and their above-mentioned governing equat ions of the degenerate types and systematically studies these classes of equations. In each concrete case well-posedness, the dependence of solutions on boundaryconditions reflecting some properties of the environment, and the large-time behavior of solut ions are investigated and in some instances also studied numerically |
Note: | Springer eBooks |
Contents: | Preface |
1 Auxiliary Materials | |
2 Global attractors for autonomous evolution equations | |
3 Verifying life science models containing diffusion, transport and interaction of species | |
4 Positivity criterion for systems of stochastic PDEs | |
Existence and longtime behaviour of a biofilm model | |
6 The blood coagulation cascade in a perfusion experiment: example from pharmaceutical industry | |
Index | |
ISBN: | 9783034806152 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | International Series of Numerical Mathematics : v163 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Biological models , Ecology , Differential equations, partial , Physiology Mathematics |
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Call number: | SPRINGER-2013-9783034805773:ONLINE Show nearby items on shelf |
Title: | Stability of Vector Differential Delay Equations [electronic resource] |
Author(s): |
Michael I Gil |
Date: | 2013 |
Publisher: | Basel : Springer Basel : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Differential equations with delay naturallyarise in various applications, such as control systems, viscoelasticity, mechanics, nuclear reactors, distributed networks, heat flows, neural networks, combustion, interaction ofspecies, microbiology, learn ing models, epidemiology, physiology, and many others. This book systematically investigates the stability of linear as well as nonlinear vector differential equations with delay and equations with causalmappings. It presents explicit conditions for expon ential, absolute and input-to-state stabilities. These stability conditions are mainly formulated in terms of the determinants and eigenvalues of auxiliary matrices dependent on aparameter the suggested approachallows us to apply the well-known results of the theory of matrices. In addition, solution estimates for the considered equations are established which provide the bounds for regions of attraction ofsteady states. The main methodology presented in the book is based on a combined usage of the rece nt norm estimates for matrix-valued functionsand the following methods and results: the generalized Bohl-Perron principle and theintegral version of the generalized Bohl-Perron principle the freezing method the positivity of fundamental solutions. A signi ficant part of the book is devoted to the Aizerman-Myshkis problem and generalized Hill theory ofperiodic systems. The book is intended not only for specialists in the theory of functional differential equations and control theory, but also for anyone w ith a sound mathematical background interested in their variousapplications |
Note: | Springer eBooks |
Contents: | Preface |
1 Preliminaries | |
2 Some Results of the Matrix Theory | |
3 General Linear Systems | |
4 Time | |
invariant Linear Systems with Delay | |
5 Properties of Characteristic Values | |
6 Equations Close to Autonomous and Ordinary Differential Ones | |
7 Periodic Systems | |
8 Linear Equations with Oscillating Coefficients | |
9 Linear Equations with Slowly Varying Coefficients | |
10 Nonlinear Vector Equations | |
11 Scalar Nonlinear Equations | |
12 Forced Oscillations in Vector Semi | |
Linear Equations | |
13 Steady States of Differential Delay Equations | |
14 Multiplicative Representations of Solution | |
ISBN: | 9783034805773 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Frontiers in Mathematics, 1660-8046 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential Equations , Systems theory |
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Call number: | SPRINGER-2013-9781461463450:ONLINE Show nearby items on shelf |
Title: | Advances in Interdisciplinary Mathematical Research [electronic resource] : Applications to Engineering, Physical and Life Sciences |
Author(s): |
Bourama Toni |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Springer eBooks |
ISBN: | 9781461463450 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Proceedings in Mathematics & Statistics, 2194-1009 : v37 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Physiology Mathematics , Mechanical engineering |
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Call number: | SPRINGER-2013-9781461450559:ONLINE Show nearby items on shelf |
Title: | Modelling and Simulation in Fluid Dynamics in Porous Media [electronic resource] |
Author(s): |
Jos A Ferreira Slvia Barbeiro Gonalo Pena Mary F Wheeler |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This volume presentsa selection of survey and research articles based on invited lectures and contributed talks presented at the Workshop on Fluid Dynamics in Porous Media that was held in Coimbra, Portugal, inSeptember12-14, 2011. The contributions are devoted to mathematical modeling, numerical simulation and their applications, providing the readers a state-of-the-art overview on the latest findings and new challenges on the topic. The bookincludes research work of worldwide recognized leaders in their respective fields and presents advances in both theory and applications, making it appealing to a vast range of audience, in particular mathematicians, engineers andphysicists |
Note: | Springer eBooks |
ISBN: | 9781461450559 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Proceedings in Mathematics & Statistics, 2194-1009 : v28 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Physiology Mathematics , Mathematical optimization |
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Call number: | SPRINGER-2012-9781461407546:ONLINE Show nearby items on shelf |
Title: | Handbook of Optimization in Complex Networks [electronic resource] : Theory and Applications |
Author(s): |
My T Thai Panos M Pardalos |
Date: | 2012 |
Edition: | 1 |
Publisher: | Boston, MA : Springer US |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Complex Networks is a newly emerging field with applications in a variety of domains, such as communication networks, engineering networks, social networks, and biological networks. There has been an explosive growth of researchon complex real-world networks, a theme that is becoming pervasive in many disciplines ranging from mathematics and computer science to the social and biological sciences. Optimization of complex networks with real-world applicationsrequires a deep understanding of the interpl ay between the dynamics of the physical network and the information dynamics within the network. The Handbook of Optimization in Complex Networks: Theory and Applications provides the basictheory of these networks with several new mathematical approaches and optimization techniques to design and analyze dynamic complex networks. The volume features a wide range of applications and optimization problems derived fromresearch areas such as computer science, operations research, cellular and molecular chemis try, brain physiology, epidemiology, and ecology. This volume, as well as its companion (The Handbook of Optimization in Complex Networks:Communication and Social Networks ISBN: 978-1-4614-0856-7) is an excellent resource for graduate students, researcher s, and practitioners who wish to learn about the most up to date theory and applications on optimization of complexreal-world networks. |
Note: | Springer eBooks |
Contents: | Preface |
1. Optimization in Designing Complex Communication Networks (F.S.H. Souza, G.R. Mateus, A.S. Cunha) | |
2. Fitness | |
based Generative Models for Power | |
Law Networks (K. Nguyen, D.A. Tran) | |
3. Double Pareto Lognormal Distributions in Complex Networks (Z. Fang, J. Wang, B. Liu, W. Gong) | |
4. Laplacian Spectra and Synchronization Processes on Complex Networks (J. Chen, J. Lu, C. Zhan, G. Chen) | |
5. Growing Networks driven by the Evolutionary Prisoners Dilemma Game (J. Poncela, J. Gomez | |
Gardenes, L.M. Floria, Y. Moreno) | |
6. Defining and Discovering Communities in Social Networks (S | |
ISBN: | 9781461407546 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Optimization and Its Applications, 1931-6828 : v57 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer Communication Networks , Mathematical optimization , Telecommunication |
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Call number: | SPRINGER-2012-9780817683436:ONLINE Show nearby items on shelf |
Title: | Singularities of Differentiable Maps, Volume 2 [electronic resource] : Monodromy and Asymptotics of Integrals |
Author(s): |
V.I Arnold S.M Gusein-Zade A.N Varchenko |
Date: | 2012 |
Publisher: | Boston : Birkhuser Boston : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Originally published inthe 1980s, Singularities of DifferentiableMaps: Monodromy and Asymptotics of Integrals was thesecond oftwovolumes that togetherformed a translation of the authors'influential Russian monographon singularity theory.This uncorrec ted softcover reprint of the work brings its still-relevant content back into the literature, making it availableand affordableto a global audience of researchers and practitioners. Whilethe first volume of this title, subtitled Classification of Critical Points, Caustics and Wave Fronts, contained the zoology of differentiable mapsthat is, was devoted to a description of what, where, and how singularities could beencounteredthis second volume concentrates on elements of theanatomy and physiology of singu larities of differentiable functions. The questions considered here are about the structure of singularities and how they function. Inthe first part the authors consider the topological structure of isolated critical points of holomorphic functions: vanis hing cycles distinguished bases intersection matricesmonodromy groupsthe variation operatorand theirinterconnections and method of calculation. The second part is devoted to the study of the asymptotic behavior of integrals of the method of stationary pha se, which is widely met within applications. The third and last part dealswith integrals evaluated over level manifolds in a neighborhood of the critical point of a holomorphic function. Thismonograph is suitablefor mathematicians, researchers, postgradua tes, and specialists in the areas ofmechanics, physics, technology, and other sciences dealing with the theory of singularities of differentiable maps |
Note: | Springer eBooks |
Contents: | Part I. The topological structure of isolated critical points of functions |
Introduction | |
Elements of the theory of Picard | |
Lefschetz | |
The topology of the non | |
singular level set and the variation operator of a singularity | |
The bifurcation sets and the monodromy group of a singularity | |
The intersection matrices of singularities of functions of two variables | |
The intersection forms of boundary singularities and the topology of complete intersections | |
Part II. Oscillatory integrals | |
Discussion of results | |
Elementary integrals and the resolution of singularities of the phase | |
As | |
ISBN: | 9780817683436 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Modern Birkhuser Classics |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry, algebraic , Topological Groups , Global analysis (Mathematics) , Global differential geometry , Cell aggregation Mathematics |
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Call number: | SPRINGER-2011-9789491216039:ONLINE Show nearby items on shelf |
Title: | Nonlinear Hybrid Continuous/Discrete-Time Models [electronic resource] |
Author(s): |
Marat Akhmet |
Date: | 2011 |
Publisher: | Paris : Atlantis Press |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The book is mainly about hybrid systems with continuous/discrete-time dynamics. The major part of the book consists of the theory of equations with piece-wise constant argument of generalized type. The systems as well as techniqueof investigation wer e introduced by the author very recently. They both generalized known theory about differential equations with piece-wise constant argument, introduced by K. Cook and J. Wiener in the 1980s. Moreover, differentialequations with fixed and variable moments of impulses are used to model real world problems. We consider models of neural networks, blood pressure distribution and a generalized model of the cardiac pacemaker. All the results of themanuscript have not been published in any book, yet. They are ver y recent and united with the presence of the continuous/discrete dynamics of time. It is of big interest for specialists in biology, medicine, engineering sciences,electronics. Theoretical aspects of the book meet very strong expectations of mathematician s who investigate differential equations with discontinuities of any type |
Note: | Springer eBooks |
Contents: | 1. Introduction |
2. Linear and quasi | |
linear systems with piecewise constant argument | |
3. The reduction principle for systems with piecewise constant argument | |
4. The small parameter and differential equations with piecewise constant argument | |
5. Stability | |
6. The state | |
dependent piecewise constant argument | |
7. Almost periodic solutions | |
8. Stability of neural networks | |
9. The blood pressure distribution | |
10. Integrate | |
and | |
fire biological oscillators | |
ISBN: | 9789491216039 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Atlantis Studies in Mathematics for Engineering and Science, 1875-7642 : v8 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Medicine , Differential Equations , Physiology Mathematics |
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Call number: | SPRINGER-2011-9783642156373:ONLINE Show nearby items on shelf |
Title: | The Mathematics of Knots [electronic resource] Theory and Application |
Author(s): |
Markus Banagl Denis Vogel |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The present volume grew out of the Heidelberg Knot Theory Semester, organized by the editors in winter 2008/09 at Heidelberg University. The contributed papers bring the reader up to date on the currently most actively pursuedareas of mathematical kn ot theory and its applications in mathematical physics and cell biology. Both original research and survey articles are presented numerous illustrations support the text. The book will be of great interest toresearchers in topology, geometry, and mathemat ical physics, graduate students specializing in knot theory, and cell biologists interested in the topology of DNA strands |
Note: | Springer eBooks |
Contents: | Preface |
1 Knots, Singular Embeddings, and Monodromy | |
2 Lower Bounds on Virtual Crossing Number and Minimal Surface Genus | |
3 A Survey of Twisted Alexander Polynomials | |
4 On Two Categorifications of the Arrow Polynomial for Virtual Knots | |
5 An Adelic Extension of the Jones Polynomial | |
6 Legendrian Grid Number One Knots and Augmentations of their Differential Algebras | |
7 Embeddings of Four | |
Valent Framed Graphs into 2 | |
Surfaces | |
8 Geometric Topology and Field Theory on 3 | |
Manifolds | |
9 From Goeritz Matrices to Quasi | |
Alternating Links | |
10 An Overview of Property 2R | |
11 DNA, Knot | |
ISBN: | 9783642156373 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Contributions in Mathematical and Computational Sciences : v1 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Physiology Mathematics , Global differential geometry , Topology , Cell aggregation Mathematics |
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Call number: | SPRINGER-2011-9783034604055:ONLINE Show nearby items on shelf |
Title: | From Past to Future: Gramann's Work in Context [electronic resource] : Gramann Bicentennial Conference, September 2009 |
Author(s): |
Hans-Joachim Petsche Albert C Lewis Jrg Liesen Steve Russ |
Date: | 2011 |
Publisher: | Basel : Springer Basel |
Size: | 1 online resource |
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Note: | Springer 2013 e-book collections |
Note: | On the occasion of the 200th anniversary of the birth of Hermann Gramann (1809-1877), an interdisciplinary conference was held in Potsdam, Germany, and in Gramann's hometown Szczecin, Poland. The idea of the conference was topresent a multi-faceted p icture of Gramann, and to uncover the complexity of the factors that were responsible for his creativity. The conference demonstrated not only the very influential reception of his work at the turn of the20th century, but also the unexpected modernity of his ideas, and their continuing development in the 21st century. This book contains 37 papers presented at the conference. They investigate the significance of Gramann's work forphilosophical as well as for scientific and methodological questions, for com parative philology in general and for Indology in particular, for psychology, physiology, religious studies, musicology, didactics, and, last but not least,mathematics. In addition, the book contains numerous illustrations and English translations of orig inal sources, which are published here for the first time. These include life histories of Gramann (written by his son Justus) and ofhis brother Robert (written by Robert himself), as well as the paper On the concept and extent of pure theory of number'' by Justus Gramann (the father). In November 2010 the capital of the federal state of Brandenburg (Germany)chose the Gramann Conference as the first-time winner of the Potsdam Conference-Award in the category Innovative and/or exceptional events |
Note: | Springer eBooks |
ISBN: | 9783034604055 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Mathematics_$xHistory |
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Call number: | SPRINGER-2011-9780817649043:ONLINE Show nearby items on shelf |
Title: | Towards an Information Theory of Complex Networks [electronic resource] : Statistical Methods and Applications |
Author(s): |
Matthias Dehmer Frank Emmert-Streib Alexander Mehler |
Date: | 2011 |
Edition: | 1 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | For over a decade, complex networks have steadily grown as an important tool across abroad array of academic disciplines, with applications ranging from physics to social media.A tightly organizedcollectionofcarefully-selected papers on the subject, Towards an Information Theory of Complex Networks: Statistical Methods and Applications presents theoretical and practical results about information-theoretic and statisticalmodels of complex networks in the natural sciences and humanities.The book'smajor goal is to advocate and promote a combination of graph-theoretic, information-theoretic, and statistical methods as a way to better understand andcharacterize real-world networks. This volume is the first to present a self-contained, comprehensive overvi ew of information-theoretic modelsof complex networks with an emphasis on applications. It begins with four chaptersdeveloping the most significant formal-theoretical issues of network modeling,butthe majority of the book is devoted tocombining theoretica l results with an empirical analysis of real networks. Specific topics include: chemicalgraph theory ecosystem interaction dynamics social ontologies language networks software systems Thiswork marks a first step toward establishing advanced statistical i nformation theory as a unified theoretical basis of complexnetworksfor allscientific disciplines. As such, itcan serve asa valuable resource foradiverse audience of advanced students and professional scientists.It is primarilyintendedas a reference for re search, but couldalso be a useful supplemental graduate text in courses related to information science, graph theory, machine learning, and computational biology, among others |
Note: | Springer eBooks |
Contents: | Preface |
Entropy of Digraphs and Infinite Networks | |
An Information | |
Theoretic Upper Bound on Planar Graphs Using Well | |
orderly Maps | |
Probabilistic Inference Using Function Factorization and Divergence Minimization | |
Wave Localization on Complex Networks | |
Information | |
Theoretic Methods in Chemical Graph Theory | |
On the Development and Application of Net | |
Sign Graph Theory | |
The Central Role of Information Theory in Ecology | |
Inferences About Coupling from Ecological Surveillance Monitoring | |
Markov Entropy Centrality | |
Social Ontologies as Generalizedd Nearly Acyclic Directed Graphs | |
ISBN: | 9780817649043 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Coding theory , Artificial intelligence , Physiology Mathematics , Telecommunication |
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Call number: | SPRINGER-2010-9783642011566:ONLINE Show nearby items on shelf |
Title: | Simula Research Laboratory [electronic resource] : by Thinking Constantly about it |
Author(s): |
Aslak Tveito Are Magnus Bruaset Olav Lysne |
Date: | 2010 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The Simula Research Laboratory, located just outside Oslo in Norway, is rightly famed as a highly successful research facility, despite being, at only eight years old, a very young institution. This fascinating book tells thehistory of Simula, detail ing the culture and values that have been the guiding principles of the laboratory throughout its existence. Dedicated to tackling scientific challenges of genuine social importance, the laboratory undertakesimportant research with long-term implications in networks, computing and software engineering, which includes offering a Centre of Excellence in biomedical computing. The text covers every angle: the laboratory's background andpolitical context, the work it has completed, its approach to the educatio n and development of its researchers, and the organisation's efforts to promote the application of its research results. The key research projects and resultsare covered in separate chapters, each of which is preceded by a thumbnail description of the pro ject and how the research is useful for society. As well as explanatory text, the other chapters feature interviews with major players inthe facility's history, both inside Simula, among its collaborators, and in Norwegian society at large |
Note: | Springer eBooks |
Contents: | Preface: Begin Simula. The Scene: The initial stage |
Forming a lab | |
About Simula the language, and about research | |
Basic Research: Networks and distributed systems | |
Scientific computing | |
Software engineering | |
Research Education | |
Research Applications | |
Interviews: Interviews with policymakers | |
Interviews with scientists | |
ISBN: | 9783642011566 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer network architectures , Software engineering , Physiology Mathematics , Computer science Mathematics |
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Call number: | SPRINGER-2010-9781441972132:ONLINE Show nearby items on shelf |
Title: | Environmental Radiation Effects on Mammals [electronic resource] : A Dynamical Modeling Approach |
Author(s): |
Olga A Smirnova |
Date: | 2010 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | This text is devoted to the theoretical studies of radiation effects on mammals. It uses the framework of developed deterministic mathematical models to investigate the effects of both acute and chronic irradiation in a wide rangeof doses and dose ra tes on vital body systems including hematopoiesis, small intestine and humoral immunity, as well as on the development of autoimmune diseases. Thus, these models can contribute to the development of the system andquantitative approaches in radiation biolo gy and ecology. This text is also of practical use. Its modeling studies of the dynamics of granulocytopoiesis and thrombocytopoiesis in humans testify to the efficiency of employment of thedeveloped models in the investigation and prediction of radiation effects on these hematopoietic lines. These models, as well as the properly identified models of other vital body systems, could provide a better understanding of theradiation risks to health. The modeling predictions will enable the implementation of mo re effective preventive and protective measures for people residing in areas with elevated radiation background and astronauts on long-term spacemissions. Lastly, the models of the radiation-induced mortality established the theoretical foundations of a n ew individual-based approach to radiation risk assessment. These models thus enable one to predict the mortality dynamics andaverage life-span shortening for individuals and populations exposed to acute and low-level chronic radiation. Because of its theo retical and practical benefits, this book is as useful for academics, scientists and researchers workingin the field of mathematical modeling of biological systems as it is for those working in the fields of radiation biology, ecology and medicine. It is equally useful for Aerospace companies and various corporations that contend withthe problems of environmental protection and radiation safety |
Note: | Springer eBooks |
Contents: | Introduction |
Chapter 1: Radiation Effects on the Blood | |
Forming System | |
Chapter 2: The Small Intestine as a Target for Radiation | |
Chapter 3: Radiation and Humoral Immunity | |
Chapter 4: Modeling of Autoimmune Processes | |
Chapter 5: Individual | |
Based Approach to Radiation Risk Assessment | |
Conclusions | |
Index | |
ISBN: | 9781441972132 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Radiology, Medical , Animal Physiology , Biology Mathematics |
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Call number: | SPRINGER-2010-9781441956897:ONLINE Show nearby items on shelf |
Title: | Dynamics of Information Systems [electronic resource] : Theory and Applications |
Author(s): |
Michael J Hirsch Panos M Pardalos Robert Murphey |
Date: | 2010 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Dynamics of Information Systems presents state-of-the-art research explaining the importance of information in the evolution of a distributed or networked system. This book presents techniques for measuring the value orsignificance of information wit hin the context of a system. Each chapter reveals a unique topic or perspective from experts in this exciting area of research. These newly developed techniques have numerous applications including: thedetection of terrorist networks, the design of highly functioning businesses and computer systems, modeling the distributed sensory and control physiology of animals, quantum entanglement and genome modeling, multi-robotic systemsdesign, as well as industrial and manufacturing safety. This volume is intende d for graduate students and researchers interested in the most recent developments in information theory and dynamical systems, as well as scientists inother fields interested in the application of these principles to their own area of study |
Note: | Springer eBooks |
ISBN: | 9781441956897 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Optimization and Its Applications, 1931-6828 : v40 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Artificial intelligence , Systems theory , Operations research |
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Call number: | SPRINGER-2009-9788847011526:ONLINE Show nearby items on shelf |
Title: | Cardiovascular Mathematics [electronic resource] : Modeling and simulation of the circulatory system |
Author(s): |
Luca Formaggia Alfio Quarteroni Alessandro Veneziani |
Date: | 2009 |
Publisher: | Milano : Springer Milan |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Cardiovascular diseases have a major impact in Western countries. Mathematical models and numerical simulations can help the understanding of physiological and pathological processes, complementing the information provided tomedical doctors by medica l imaging and other non-invasive means, and opening the possibility of a better diagnosis and more in-depth surgical planning.This book offers a mathematically sound and up-to-date foundation to the training ofresearchers, and serves as a useful reference for the development of mathematical models and numerical simulation codes. It is structured into different chapters, written by recognized experts in the field, and however it features acommon thread, with consistency of notation and expressions and syst ematic cross-referencing. Many fundamental issues are faced, such as: the mathematical representation of vascular geometries extracted from medical images, modellingblood rheology and the complex multilayer structure of the vascular tissue, and its possib le pathologies, the mechanical and chemical interaction between blood and vascular walls the different scales coupling local and systemicdynamics. All of these topics introduce challenging mathematical and numerical problems, demanding for advanced analys is and simulation techniques. This book is addressed to graduate students and researchers in the field ofbioengineering, applied mathematics and medicine, wishing to engage themselves in the fascinating task of modeling how the cardiovascular system works |
Note: | Springer eBooks |
Contents: | Physiology and pathology of the cardiovascular system: A physical perspective |
Basic mathematical models and motivations | |
The derivation of the equations for fluids and structure | |
From image data to computational domains | |
Geometry and flow | |
Rheological models for blood | |
Mathematical models of mass transfer in the vascular walls | |
Analysis of coupled models for fluid | |
structure interaction of internal flows | |
Algorithms for fluid | |
structure interaction problems | |
Reduced models of the cardiovascular system | |
Multiscale models of the vascular system | |
Applications and test cases | |
ISBN: | 9788847011526 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | MS&A : v1 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Cardiology , Differential equations, partial , Biology Mathematics , Physiology Mathematics |
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Call number: | SPRINGER-2009-9783540688327:ONLINE Show nearby items on shelf |
Title: | Historical Encyclopedia of Natural and Mathematical Sciences [electronic resource] |
Author(s): |
Ari Ben-Menahem |
Date: | 2009 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This milestone extensive work combines the essentials of history biography, chronology, political and economic background with the observations, theories, principles, laws and equations that constitute the specifics ofscience. The 5800-page Encyclo pedia arises from the conviction that the optimal perspective on science is through the lens of history, setting aside traditional divisions of discipline and specialty, and rising above geopoliticalboundaries. Reaching from 4,200 BCE to the 21st century CE, the Encyclopedia relates (as the author himself puts it) not only who did it and when it was done but also precisely what was done. The author, Ari Ben-Menahem, surveys100 generations of great thinkers, offering 2070 detailed biographies of scientists , engineers, explorers and inventors, who left their mark on the history of science and technology. The span of coverage is all-encompassing:mathematics, philosophy, logic, physical and environmental sciences (including physics, chemistry, astronomy, eart h and space sciences and cosmology), life sciences (biology, medicine, physiology, botany, zoology and biochemistry),associated engineering disciplines, and the social sciences (among them economics, psychology, sociology, anthropology, linguistics and mo re). The six-volume Encyclopedia also includes 380 articles summarizing the time-line of ideas inthe leading fields of science, technology, mathematics and philosophy, plus useful tables, figures and photos, and 20 Science Progress Reports detailing scien tific setbacks. Interspersed throughout are quotations, gathered fromthe wit and wisdom of sages, savants and scholars throughout the ages from antiquity to modern times |
Note: | Springer eBooks |
ISBN: | 9783540688327 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geography , Life sciences , Environmental sciences , Humanities |
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Call number: | SPRINGER-2009-9781597453974:ONLINE Show nearby items on shelf |
Title: | Fundamental Concepts in Biophysics [electronic resource] : Volume 1 |
Author(s): |
Thomas Jue |
Date: | 2009 |
Publisher: | Totowa, NJ : Humana Press |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | HANDBOOK OF MODERN BIOPHYSICS Series Editor Thomas Jue, PhD Handbook of Modern Biophysics brings current biophysics topics into focus, so that biology, medical, engineering, mathematics, and physical-science students orresearchers can learn fundament al concepts and the application of new techniques in addressing biomedical challenges. Chapters explicate the conceptual framework of the physics formalism and illustrate the biomedical applications. Withthe addition of problem sets, guides to further stu dy, and references, the interested reader can continue to explore independently the ideas presented. Volume I: Fundamental Concepts in Biophysics Editor Thomas Jue, PhD In FundamentalConcepts in Biophysics, prominent professors have established a foundati on for the study of biophysics related to the following topics: Mathematical Methods in Biophysics Quantum Mechanics Basic to Biophysical Methods ComputationalModeling of ReceptorLigand Binding and Cellular Signaling Processes Fluorescence Spectroscopy El ectrophysiological Measurements of Membrane Proteins Single-Particle Tracking NMR Measurement of Biomolecule Diffusion About the EditorThomas Jue is a Professor in the Department of Biochemistry and Molecular Medicine at the University of California Davis . He is an internationally recognized expert in developing and applying magnetic resonance techniques to studyanimal as well as human physiology in vivo and has published extensively in the field of magnetic resonance spectroscopy and imaging, near-infrar ed spectroscopy, bioenergetics, cardiovascular regulation, exercise, and marine biology.Over the past several years, he has led the way as a Chair of the Biophysics Graduate Group Program to establish attractive but scholarly approaches to educate graduat e students with a balance of physical-science/mathematics formalismand biomedical perspective in order to promote interest at the interface of physical science, engineering, mathematics, biology, and |
Note: | Springer eBooks |
Contents: | Mathematical Methods in Biophysics |
Quantum Mechanics Basic to Biophysical Methods | |
Computational Modeling of Receptor | |
Ligand Binding and Cellular Signaling Processes | |
Fluorescence Spectroscopy | |
Electrophysiological Measurements of Membrane Proteins | |
Single Particle Tracking | |
NMR Measurement of Biomolecule Diffusion | |
ISBN: | 9781597453974 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Handbook of Modern Biophysics |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Medicine , Biomedical engineering |
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Call number: | SPRINGER-2009-9780817647490:ONLINE Show nearby items on shelf |
Title: | Scan Statistics [electronic resource] : Methods and Applications |
Author(s): |
Joseph Glaz Vladimir Pozdnyakov Sylvan Wallenstein |
Date: | 2009 |
Publisher: | Boston, MA : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Scan statistics is currently one of the most active and important areas of research in applied probability and statistics, having applications to a wide variety of fields: archaeology, astronomy, bioinformatics, biosurveillance,molecular biology, gen etics, computer science, electrical engineering, geography, material sciences, physics, reconnaissance, reliability and quality control, telecommunication, and epidemiology. Filling a gap in the literature, thisself-contained volume brings together a coll ection of selected chapters illustrating the depth and diversity of theory, methods and applications in the area of scan statistics. Key features: * Chapters are written by leading experts inthe field. * Features many current results and highlights new di rections for future research. * Includes challenging theoretical methodological research problems. * Presentation is accessible to statisticians as well as to scientistsfrom other disciplines where scan statistics are employed. * Real-world applications t o areas such as bioinformatics and biosurveillance are emphasized. * Contains extensive references to research articles, books, and relevant computersoftware. Scan Statistics is an excellent reference for graduate students and researchers in applied proba bility and statistics, as well as for scientists in biology, computer science, pharmaceutical science, medicine, geography,quality control, communications, and epidemiology. The work may also be used as a textbook for a graduate-level seminar on scan stat istics |
Note: | Springer eBooks |
Contents: | Joseph Naus: Father of the Scan Statistic |
Precedence | |
Type Tests for the Comparison of Treatments with a Control | |
Extreme Value Results for Scan Statistics | |
Boundary Crossing Probability Computationsin the Analysis of Scan Statistics | |
Approximations for Two | |
Dimensional Variable Window Scan Statistics | |
Applications of Spatial Scan Statistics: A Review | |
Extensions of the Scan Statistic for the Detection and Inference of SpatialClusters | |
1 | |
Dependent Stationary Sequences and Applications to Scan Statistics | |
Scan Statistics in Genome | |
Wide Scan for Complex Trait Loci | |
On Probabilit | |
ISBN: | 9780817647490 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Statistics for Industry and Technology |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Computer science , Mathematics , Physiology Mathematics , Distribution (Probability theory) , Mathematical statistics |
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Call number: | SPRINGER-2009-9780387793887:ONLINE Show nearby items on shelf |
Title: | Mathematical Physiology [electronic resource] : II: Systems Physiology |
Author(s): |
James Keener James Sneyd |
Date: | 2009 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | There has been a long history of interaction between mathematics and physiology. This book looks in detail at a wide selection of mathematical models in physiology, showing how physiological problems can be formulated and studiedmathematically, and h ow such models give rise to interesting and challenging mathematical questions. With its coverage of many recent models it gives an overview of the field, while many older models are also discussed, to put themodern work in context. In this second edition the coverage of basic principles has been expanded to include such topics as stochastic differential equations, Markov models and Gibbs free energy, and the selection of models has alsobeen expanded to include some of the basic models of fluid transport, respiration/perfusion, blood diseases, molecular motors, smooth muscle, neuroendrocine cells, the baroreceptor loop, turboglomerular oscillations, blood clotting andthe retina. Owing to this extensive coverage, the second edition is published in two volu mes. This second volume deals with the physiology of systems and the first volume with the fundamental principles of cell physiology. The bookincludes detailed illustrations and numerous excercises with selected solutions. The emphasis throughout is on th e applications because of this interdisciplinary approach, this book will be of interest to students and researchers, notonly in mathematics, but also in bioengineering, physics, chemistry, biology, statistics and medicine. James Keener is a Distinguished Professor of Mathematics at the University of Utah. He and his wife live in Salt Lake City, butdon't be surprised if he moves to the mountains. James Sneyd is the Professor of Applied Mathematics at the University of Auckland in New Zealand, where he has worked for the past six years. He lives with his wife and three childrenbeside a beach, and would rather be swimming. Reviews of the first edition: ...probably the best book ever written on the interd |
Note: | Springer eBooks |
ISBN: | 9780387793887 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Interdisciplinary Applied Mathematics, 0939-6047 : v8/2 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Human physiology , Biology Mathematics |
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Call number: | SPRINGER-2009-9780387758473:ONLINE Show nearby items on shelf |
Title: | Mathematical Physiology [electronic resource] : I: Cellular Physiology |
Author(s): |
James Keener James Sneyd |
Date: | 2009 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | There has been a long history of interaction between mathematics and physiology. This book looks in detail at a wide selection of mathematical models in physiology, showing how physiological problems can be formulated and studiedmathematically, and h ow such models give rise to interesting and challenging mathematical questions. With its coverage of many recent models it gives an overview of the field, while many older models are also discussed, to put themodern work in context. In this second edition the coverage of basic principles has been expanded to include such topics as stochastic differential equations, Markov models and Gibbs free energy, and the selection of models has alsobeen expanded to include some of the basic models of fluid transport, respiration/perfusion, blood diseases, molecular motors, smooth muscle, neuroendrocine cells, the baroreceptor loop, turboglomerular oscillations, blood clotting andthe retina. Owing to this extensive coverage, the second edition is published in two volu mes. This first volume deals with the fundamental principles of cell physiology and the second with the physiology of systems. The book includesdetailed illustrations and numerous excercises with selected solutions. The emphasis throughout is on the appli cations because of this interdisciplinary approach, this book will be of interest to students and researchers, not only inmathematics, but also in bioengineering, physics, chemistry, biology, statistics and medicine. James Keener is a Distinguished Profes sor of Mathematics at the University of Utah. He and his wife live in Salt Lake City, but don't besurprised if he moves to the mountains. James Sneyd is the Professor of Applied Mathematics at the University of Auckland in New Zealand, where he has worked for the past six years. He lives with his wife and three children beside abeach, and would rather be swimming. Reviews of the first edition: ...probably the best book ever written on the interdiscipli |
Note: | Springer eBooks |
Contents: | Cellular Physiology |
Biochemical Reactions | |
Cellular Homeostasis | |
Membrane Ion Channels | |
Passive Electrical Flow in Neurons | |
Excitability | |
Traveling Waves of Electrical Excitation | |
Wave Propagation in Higher Dimensions | |
Calcium Dynamics | |
Intercellular Communication | |
Neuroendocrine Cells | |
Regulation of Cell Function | |
ISBN: | 9780387758473 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Interdisciplinary Applied Mathematics, 0939-6047 : v8/1 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Human physiology |
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Call number: | SPRINGER-2008-9783764378066:ONLINE Show nearby items on shelf |
Title: | Hemodynamical Flows [electronic resource] : Modeling, Analysis and Simulation |
Author(s): |
Giovanni P Galdi Anne M Robertson Rolf Rannacher Stefan Turek |
Date: | 2008 |
Publisher: | Basel : Birkhuser Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book surveys results on the physical and mathematical modeling as well as the numerical simulation of hemodynamical flows, i.e., of fluid and structural mechanical processes occurring in the human blood circuit. The topicstreated are continuum m echanical description, choice of suitable liquid and wall models, mathematical analysis of coupled models, numerical methods for flow simulation, parameter identification and model calibration, fluid-solidinteraction, mathematical analysis of piping syste ms, particle transport in channels and pipes, artificial boundary conditions, and many more. Hemodynamics is an area of active current research, and this book provides an entry into thefield for graduate students and researchers. It has grown out of a ser ies of lectures given by the authors at the Oberwolfach Research Institute in November, 2005 |
Note: | Springer eBooks |
Contents: | Preface |
Continuum mechanical description of blood flow | |
Mechanical models of blood vessel walls | |
Analysis of Newtonian and non | |
Newtonian fluid models | |
Numerical methods for flow simulation | |
Aspects of mesh and model adaptivity | |
Particle transport in viscous flows | |
Flows through systems of pipes | |
Fluid | |
structure interaction in blood vessels | |
ISBN: | 9783764378066 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Oberwolfach Seminars : v37 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Physiology Mathematics , Computer science Mathematics |
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Call number: | SPRINGER-2008-9783540744795:ONLINE Show nearby items on shelf |
Title: | Coordination: Neural, Behavioral and Social Dynamics [electronic resource] |
Author(s): |
Armin Fuchs Viktor K Jirsa |
Date: | 2008 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | One of the most striking features of Coordination Dynamics is its interdisciplinary character. The problems we are trying to solve in this field range from behavioral phenomena of interlimb coordination and coordination betweenstimuli and movements ( perception-action tasks) through neural activation patterns that can be observed during these tasks to clinical applications and social behavior. It is not surprising that close collaboration among scientistsfrom different fields as psychology, kinesiolog y, neurology and even physics are imperative to deal with the enormous difficulties we are facing when we try to understand a system as complex as the human brain. The chapters in thisvolume are not simply write-ups of the lectures given by the experts at the meeting but are written in a way that they give sufficient introductory information to be comprehensible and useful for all interested scientists andstudents |
Note: | Springer eBooks |
Contents: | Part I Behavioral Dynamics |
Part II Neural Dynamics | |
Part III Social Dynamics | |
Part IV Coordination: Neural, Behavioral and Social Dynamics | |
ISBN: | 9783540744795 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Understanding Complex Systems, 1860-0832 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Engineering , Human physiology , Differentiable dynamical systems , Engineering mathematics , Vibration |
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Call number: | SPRINGER-2008-9783540743316:ONLINE Show nearby items on shelf |
Title: | Tutorials in Mathematical Biosciences IV [electronic resource] : Evolution and Ecology |
Author(s): |
Avner Friedman |
Date: | 2008 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The book offers an easy introduction to fast growing research areas in evolution of species, population genetics, ecological models, and population dynamics. The first two chapters review the concept and methodologies ofphylogenetic trees computation al schemes and illustrations are given, including applications such as tracing the origin of SARS and influenza. The third chapter introduces the reader to ecological models, including predator-preymodels. This chapter includes and introduction to reactio n-diffusion equations, which are used to analyze the ecological models. The next chapter reviews a broad range of ongoing research in population dynamics, including evolution ofdispersal models it also features interesting mathematical theorems and lists open problems. The final chapter deals with gene frequencies under the action of migration and selection. The book is addressed to readers at the level ofgrad students and researchers. A background in PDEs is provided |
Note: | Springer eBooks |
Contents: | Inference of Phylogenetic Trees |
Large | |
Scale Phylogenetic Analysis of Emerging Infectious Diseases | |
ReactionDiffusion Equations and Ecological Modeling | |
The Dynamics of MigrationSelection Models | |
Some Challenging Mathematical Problems in Evolution of Dispersal and Population Dynamics | |
ISBN: | 9783540743316 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, 0075-8434 : v1922 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Biology Mathematics , Physiology Mathematics |
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Call number: | SPRINGER-2008-9781846287084:ONLINE Show nearby items on shelf |
Title: | Piecewise-smooth Dynamical Systems [electronic resource] : Theory and Applications |
Author(s): |
Mario di Bernardo Laurea Alan R Champneys Christopher J Budd Piotr Kowalczyk |
Date: | 2008 |
Publisher: | London : Springer London |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Traditional analysis of dynamical systems has restricted its attention to smooth problems, but it has become increasingly clear that there are distinctive phenomena unique to discontinuous systems that can be analyzedmathematically but which fall out side the usual methodology for smooth dynamical systems. The primary purpose of this book is to present a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. Aninformal introduction asserts the ubiquity of such models with examples drawn from mechanics, electronics, control theory and physiology. The main thrust is to classify complex behavior via bifurcation theory in a systematic yetapplicable way. The key concept is that of a discontinuity-induced bifurcation, whic h generalizes diverse phenomena such as grazing, border-collision, sliding, chattering and the period-adding route to chaos. The results are presentedin an informal style and illustrated with copious examples, both theoretical and experimental. Aimed at a wide audience of applied mathematicians, engineers and scientists at the early postgraduate level, the book assumes only thestandard background of basic calculus and linear algebra for most of the presentation and will be an indispensable resource for st udents and researchers. The inclusion of a comprehensive bibliography and many open questions will alsoserve as a stimulus for future research |
Note: | Springer eBooks |
Contents: | Introduction |
Qualitative theory of nonsmooth dynamical systems | |
Border collision in piecewise | |
linear continuous maps | |
Bifurcations in general piecewise | |
smooth maps | |
Boundary equilibrium bifurcations in flows | |
Limit cycle bifurcations in impacting systems | |
Limit cycle bifurcations in piecewise | |
smooth flows | |
Sliding bifurcations in Filippov systems | |
Further applications and extensions | |
References | |
Index | |
ISBN: | 9781846287084 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied Mathematical Sciences, 0066-5452 : v163 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Vibration |
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Call number: | SPRINGER-2008-9781402082689:ONLINE Show nearby items on shelf |
Title: | Integrated Molecular and Cellular Biophysics [electronic resource] |
Author(s): |
Valerica Raicu Aurel Popescu |
Date: | 2008 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book integrates concepts and methods from physics, biology, biochemistry and physical chemistry into a standalone, unitary text of biophysics that aims to provide a quantitative description of structures and processesoccurring in living matter. The book introduces graduate physics students and physicists interested in biophysics research to 'classical' as well as emerging areas of biophysics. The advanced undergraduate physics students and the lifescientists are also invited to join in, by build ing on their knowledge of basic physics. Essential notions of biochemistry and biology are introduced, as necessary, throughout the book, while the reader's familiarity with basicknowledge of physics is assumed. Topics covered include interactions between biological molecules, physical chemistry of phospholipids association into bilayer membranes, DNA and protein structure and folding, passive and activeelectrical properties of the cell membrane, classical as well as fractal aspects of reaction kinetics a nd diffusion in biological systems, structural and functional aspects of molecular machines (including channels, ion pumps, andlight-harvesting antenna), as well as fundamental aspects of proteins association in solutions and in living cells |
Note: | Springer eBooks |
ISBN: | 9781402082689 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Chemistry, Physical organic , Life sciences , Physiology Mathematics |
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Call number: | SPRINGER-2008-9780817647131:ONLINE Show nearby items on shelf |
Title: | Selected Topics in Cancer Modeling [electronic resource] : Genesis, Evolution, Immune Competition, and Therapy |
Author(s): |
Elena Angelis Mark A. J Chaplain Nicola Bellomo |
Date: | 2008 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | A major challenge in the modeling and simulation of tumor growth is the mathematical description of living matter, which is far more complex than a mathematical description of inert matter. One critical piece of this challenge iscreating multiscale m odels that take into account subcellular, cellular, and macroscopic levels of cancer. The complexity of these different levels requires the development of new mathematical methods and ideas, which are examined inthis work. Written by first-rate researcher s in the field of mathematical biology, this collection of selected chapters offers a comprehensive overview of state-of-the-art mathematical methods and tools for modeling and analyzingcancer phenomena. Topics covered include: * Genetic and epigenetic pa thways to colon cancer * A game theoretical perspective on the somatic evolution of cancer * Nonlinear modeling and simulation of tumor growth * Tumor cords and theirresponse to anticancer agents * Modeling diffusely invading brain tumors * Multiphase mod els of tumor growth * Mathematical modeling of breast carcinogenesis * Predictive models in tumor immunology * Multiscale modeling of solid tumorgrowth Selected Topics in Cancer Modeling is an excellent reference for researchers, practitioners, and gradua te students in applied mathematics, mathematical biology, and related fields. The book has an overall aim of quantitative,predictive mathematical modeling of solid tumor growth at all scales, from genetics all the way through to treatment therapy for pati ents |
Note: | Springer eBooks |
Contents: | Preface |
List of Contributors | |
Genetic and Epigenetic Pathways to Colon Cancer: Relating Experimental Evidence with Modeling | |
From Kinetic Theory for Active Particles to Modelling Immune Competition | |
Towards Microscopic and Nonlocal Models of Tumour Invasion of Tissue | |
Nonlinear Renewal Equations | |
A Game Theoretical Perspective on the Somatic Evolution of Cancer | |
Nonlinear Modeling and Simulation of Tumor Growth | |
Tumour Cords and Their Response to Anticancer Agents | |
Modeling Diffusely Invading Brain Tumors: An Individualized Approach to Quantifying Glioma Evolution and Respon | |
ISBN: | 9780817647131 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Modeling and Simulation in Science, Engineering and Technology |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Oncology , Biology Mathematics , Physiology Mathematics |
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Call number: | SPRINGER-2007-9788847006928:ONLINE Show nearby items on shelf |
Title: | Modelli Matematici in Biologia [electronic resource] |
Author(s): |
Giuseppe Gaeta |
Date: | 2007 |
Publisher: | Milano : Springer Milan |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | Questo testo si indirizza prima di tutto agli studenti delle Lauree Specialistiche in Biologia delle Universit, ma sar di interesse anche per studenti di Scienze Naturali e Medicina. Gli argomenti trattati includono i piu'classici modelli matematici di fenomeni biologici (dinamica delle popolazioni, diffusione delle malattie infettive, semplici modelli di fisiologia), ma una parte rilevante del testo e' dedicata all'approccio matematico alla teoriadell'evoluzione natuturale. Gli unici prerequisiti ri chiesti al lettore sono quelli forniti dai corsi di base di Matematica della Laurea triennale in Biologia, Scienze Naturali o Medicina gli altri strumenti matematici sono discussinel testo o nei complementi matematici che ne formano parte integrante. Sebb ene i modelli qui discussi siano essenzialmente in termini di (semplici) equazioni differenziali e dunque deterministici, tesi a descrivere l'evoluzione diquantita' medie, si e' a piu' riprese cercato di mostrare il ruolo delle fluttuazioni nei fenomeni b iologici e come esso possa essere tenuto in conto in modo matematicamente semplice |
Note: | Springer eBooks |
Contents: | Introduzione. Un modello semplicissimo per lAIDS e sua utilit |
Introduzione. Un modello semplicissimo per lAIDS e sua utilit | |
Parte I | |
Il modello logistico (discreto) | |
Il modello ed i numeri di Fibonacci | |
Il modello logistico (continuo) | |
Altre applicazioni della crescita esponenziale | |
Altre applicazioni semplici del modello logistico | |
Modelli con ritardo | |
Popolazioni interagenti | |
Movimento: coordinazione dei neuroni | |
Diffusione | |
Parte II | |
Malattie infettive: il modello SIR | |
Malattie infettive senza immunit permanente | |
Fluttuazioni nei modelli epidemiol | |
ISBN: | 9788847006928 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Genetics Mathematics , Biology Mathematics , Physiology Mathematics , Biomedical engineering |
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Call number: | SPRINGER-2007-9783540344261:ONLINE Show nearby items on shelf |
Title: | Mathematics for Life Science and Medicine [electronic resource] |
Author(s): |
Yasuhiro Takeuchi Yoh Iwasa Kazunori Sato |
Date: | 2007 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | Dynamical systems theory in mathematical biology has attracted much attention from many scientific directions. The purpose of this volume is to present and discuss the many rich properties of the dynamical systems that appear inlife science and medic ine. The main topics include cancer treatment, dynamics of paroxysmal tachycardia, vector disease models, epidemic diseases and metapopulations, immune systems, pathogen competition and coexistence and theevolution of virulence and the rapid evolution of viruses within a host. Each chapter will serve to introduce students and scholars to the state-of-the-art in an exciting area, to present new results, and to inspire futurecontributions to mathematical modeling in life science and medicine |
Note: | Springer eBooks |
Contents: | Mathematical Studies of Dynamics and Evolution of Infectious Diseases |
Basic Knowledge and Developing Tendencies in Epidemic Dynamics | |
Delayed SIR Epidemic Models for Vector Diseases? | |
Epidemic Models with Population Dispersal | |
Spatial | |
Temporal Dynamics in Nonlocal Epidemiological Models | |
Pathogen Competition and Coexistence and the Evolution of Virulence | |
Directional Evolution of Virus Within a Host Under Immune Selection | |
Stability Analysis of a Mathematical Model of the Immune Response with Delays | |
Modeling Cancer Treatment Using Competition: A Survey | |
ISBN: | 9783540344261 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Biological and Medical Physics, Biomedical Engineering, 1618-7210 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Immunology , Medical virology , Biology Mathematics , Physiology Mathematics , Biomedical engineering , Engineering |
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Call number: | SPRINGER-2007-9783540296041:ONLINE Show nearby items on shelf |
Title: | Physics of the Human Body [electronic resource] |
Author(s): |
Irving P Herman |
Date: | 2007 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Physics of the Human Body comprehensively addresses the physical and engineering aspects of human physiology by using and building on first-year college physics and mathematics. Topics include the mechanics of the static body andthe body in motion, t he materials properties of the body, muscles in the body, the energetics of body metabolism, fluid flow in the cardiovascular and respiratory systems, the acoustics of sound waves in speaking and hearing, visionand the optics of the eye, the electrical pr operties of the body, and the basic engineering principles of feedback and control in regulating all aspects of function. The goal of this text is to understand physical issues concerning thehuman body, in part by developing and then using simple and subs equently more refined models of the macrophysics of the human body. Many chapters include a brief review of the necessary physical principles. There are problems at theend of each chapter solutions to selected problems are also provided. This text is gear ed to undergraduates interested in physics, medical applications of physics, quantitative physiology, medicine, and biomedical engineering |
Note: | Springer eBooks |
Contents: | Terminology, the Standard Human, and Scaling |
Statics of the Body | |
Motion | |
Mechanical Properties of the Body | |
Muscles | |
Metabolism: Energy, Heat, Work and Power of the Body | |
Fluid Pressure, Fluid Flow in the Body, and Motion in Fluids | |
Cardiovascular System | |
Lungs and Breathing | |
Sound, Speech, and Hearing | |
Light, Eyes, and Vision | |
Electrical and Magnetic Properties | |
Feedback and Control | |
ISBN: | 9783540296041 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Biological and Medical Physics, Biomedical Engineering, 1618-7210 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Sports medicine , Zoology , Biomedical engineering |
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Call number: | SPRINGER-2007-9781402063008:ONLINE Show nearby items on shelf |
Title: | Problems of High Altitude Medicine and Biology [electronic resource] |
Author(s): |
Almaz Aldashev Robert Naeije |
Date: | 2007 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book is directly derived from a NATO-sponsored international meeting on problems of high altitude medicine and biology, which was held on the shores of lake of Issyk-Kul, in Kyrghyzstan, in June 5-6, 2006. It was a surprisefor several European a nd North and South-American scientists to discover the still on-going momentum high level altitude physiology research, which was extremely active but insufficiently acknowledged in this remote Central Asiancountry at the time of the USSR. Accordingly, th e setting was perfect for numerous positive scientific interactions, exchanges of ideas, and structuring of new international collaborations. Overall, the meeting was an ideal mix of cellbiology, integrative physiology and medical applications. Hypoxia is and remains a major public health issue in many populated mountainous areas all over the world. We are sure that this book will be become a long-lasting essentialreference |
Note: | Springer eBooks |
Contents: | 1. 45 Years of mountain medicine |
2. High altitude pulmonary hypertension and chronic mountain sickness | |
3. The Cellular effects of hypoxia on the pulmonary circulation | |
4. Angiogenesis and chronic hypoxic pulmonary hypertension | |
5. Tetrahydrobiopterin and pulmonary hypertension | |
6. Hypoxia | |
induced proliferation of human pulmonary arterial smooth muscle cell is involved in the suppression of cyclin | |
dependent kinase inhibitors | |
7. Pulmonary adaptation to high altitude in wild mammals | |
8. Lung at high altitude: between physiology and pathology | |
9. Sildenafil and hypoxic pulmonary | |
ISBN: | 9781402063008 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Cardiology , Pneumology , Sports medicine , Physiology Mathematics |
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Call number: | SPRINGER-2006-9783540334378:ONLINE Show nearby items on shelf |
Title: | Computing the Electrical Activity in the Heart [electronic resource] |
Author(s): |
Joakim Sundnes Glenn Terje Lines Xing Cai Bjrn Fredrik Nielsen Kent-Andre Mardal Aslak Tveito |
Date: | 2006 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | This book describes mathematical models and numerical techniques for simulating the electrical activity in the heart. The book gives an introduction to the most important models of the field, followed by a detailed description ofnumerical techniques for the models. Particular focus is on efficient numerical methods for large scale simulations on both scalar and parallel computers. The results presented in the book will be of particular interest to researchersin bioengineering and computational biolog y, who face the challenge of solving these complex mathematical models efficiently. The book will also serve as a valuable introduction to a new and exciting field for computational scientistsand applied mathematicians |
Note: | Springer eBooks |
ISBN: | 9783540334378 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Monographs in Computational Science and Engineering, 1863-0111 : v1 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Cardiology , Biology Data processing , Physiology Mathematics , Computer science , Engineering mathematics |
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Call number: | SPRINGER-2006-9783540324157:ONLINE Show nearby items on shelf |
Title: | Tutorials in Mathematical Biosciences III [electronic resource] : Cell Cycle, Proliferation, and Cancer |
Author(s): |
Avner Friedman |
Date: | 2006 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | This volume introduces some basic mathematical models for cell cycle, proliferation, cancer, and cancer therapy. Chapter 1 gives an overview of the modeling of the cell division cycle. Chapter 2 describes how tumor secretesgrowth factors to form new blood vessels in its vicinity, which provide it with nutrients it needs in order to grow. Chapter 3 explores the process that enables the tumor to invade the neighboring tissue. Chapter 4 models theinteraction between a tumor and the immune system. Chapte r 5 is concerned with chemotherapy it uses concepts from control theory to minimize obstacles arising from drug resistance and from cell cycle dynamics. Finally, Chapter 6reviews mathematical results for various cancer models |
Note: | Springer eBooks |
Contents: | Modeling the Cell Division Cycle (B. Aguda) |
Angiogenesis | |
A Biochemical/Mathematical Prospective (H. A. Levine and M. Nilsen | |
Hamilton) | |
Spatio | |
Temporal Models of the uPA System and Tissue Invasion (G. Lolas) | |
Mathematical Modeling of Spatio | |
Temporal Phenomena in Tumor Immunology (M. Chaplain and A. Matzavinos) | |
Control Theory Approach to Cancer Chemotherapy: Benefiting from Phase Dependence and Overcoming Drug Resistance (M. Kimmel and A. Swierniak) | |
Cancer Models and their Mathematical Analysis (A. Friedman) | |
ISBN: | 9783540324157 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, 0075-8434 : v1872 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential Equations , Differential equations, partial , Biology Mathematics , Physiology Mathematics , Mathematical optimization |
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Call number: | SPRINGER-2006-9780817645038:ONLINE Show nearby items on shelf |
Title: | Mathematical Modeling of Complex Biological Systems [electronic resource] : A Kinetic Theory Approach |
Author(s): |
Abdelghani Bellouquid Marcello Delitala |
Date: | 2006 |
Publisher: | Boston, MA : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book describes the evolution of several socio-biological systems using mathematical kinetic theory. Specifically, it deals with modeling and simulations of biological systemscomprised of large populations of interactingcellswhose dynamics follow the rules of mechanics as well as rules governed by their own ability to organize movement and biological functions. The authors propose a new biological model for the analysis of competition between cellsof an aggressive host and cells of a correspondin g immune system. Because the microscopic description of a biological system is far more complex than that of a physical system of inert matter, a higher level of analysis is needed todeal with such complexity. Mathematical models using kinetic theory may represent a way to deal with such complexity, allowing for an understanding of phenomena of nonequilibrium statistical mechanics not described by the traditionalmacroscopic approach. The proposed models are related to the generalized Boltzmann equation an d describe the population dynamics of several interacting elements (kinetic population models). The particular models proposed by the authorsare based on a framework related to a system of integro-differential equations, defining the evolution of the dist ribution function over the microscopic state of each element in a given system. Macroscopic information on the behaviorof the system is obtained from suitable moments of the distribution function over the microscopic states of the elements involved. The b ook follows a classical research approach applied to modeling real systems, linking the observationof biological phenomena, collection of experimental data, modeling, and computational simulations to validate the proposed models. Qualitative analysis tech niques are used to identify the prediction ability of specific models. The bookwill be a valuable resource for applied mathematicians as well as researchers in the field of biological sciences. It |
Note: | Springer eBooks |
Contents: | Preface |
On the Modelling of Complex Biological Systems | |
Mathematical Frameworks of the Generalized Kinetic (Boltzmann) Theory | |
Modelling the Immune Competition and Applications | |
On the Cauchy Problem | |
Simulations, Biological Interpretations, and Further Modelling Perspectives | |
Models with Space Structure and Derivation of Macroscopic Equations | |
Critical Analysis and Forward Perspectives | |
Appendix. Basic Tools of Mathematical Kinetic Theory | |
Glossary | |
References | |
Index | |
ISBN: | 9780817645038 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Modeling and Simulation in Science, Engineering and Technology |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Genetics Mathematics , Biology Mathematics , Physiology Mathematics , Biomedical engineering |
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Call number: | SPRINGER-2006-9780387319100:ONLINE Show nearby items on shelf |
Title: | Modeling in Biopharmaceutics, Pharmacokinetics, and Pharmacodynamics [electronic resource] : Homogeneous and Heterogeneous Approaches |
Author(s): |
Panos Macheras Athanassios Iliadis |
Date: | 2006 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The state of the art in Biopharmaceutics, Pharmacokinetics, and Pharmacodynamics Modeling is presented in this book. It shows how advanced physical and mathematical methods can expand classical models in order to coverheterogeneous drug-biological pr ocesses and therapeutic effects in the body. The book is divided into four parts the first deals with the fundamental principles of fractals, diffusion and nonlinear dynamics the second with drugdissolution, release, and absorption the third with empirica l, compartmental, and stochastic pharmacokinetic models, and the fourth mainly with nonclassical aspects of pharmacodynamics. The classical models that have relevance andapplication to these sciences are also considered throughout. Many examples are used to illustrate the intrinsic complexity of drug administration related phenomena in the human, justifying the use of advanced modeling methods. Thistimely and useful book will appeal to graduate students and researchers in pharmacology, pharmaceutical scie nces, bioengineering, and physiology |
Note: | Springer eBooks |
ISBN: | 9780387319100 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Interdisciplinary Applied Mathematics, 0939-6047 : v30 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Toxicology , Biochemistry , Biology Mathematics , Biomedical engineering |
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Call number: | SPRINGER-2005-9783540315445:ONLINE Show nearby items on shelf |
Title: | Tutorials in Mathematical Biosciences I [electronic resource] : Mathematical Neuroscience |
Author(s): |
Alla Borisyuk Avner Friedman Bard Ermentrout David Terman |
Date: | 2005 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This volume introduces some basic theories on computational neuroscience. Chapter 1 is a brief introduction to neurons, tailored to the subsequent chapters. Chapter 2 is a self-contained introduction to dynamical systems andbifurcation theory, orient ed towards neuronal dynamics. The theory is illustrated with a model of Parkinson's disease. Chapter 3 reviews the theory of coupled neural oscillators observed throughout the nervous systems at all levels itdescribes how oscillations arise, what pattern they take, and how they depend on excitory or inhibitory synaptic connections. Chapter 4 specializes to one particular neuronal system, namely, the auditory system. It includes aself-contained introduction, from the anatomy and physiology of the inner ear to the neuronal network that connects the hair cells to the cortex, and describes various models of subsystems |
Note: | Springer eBooks |
Contents: | Preface |
A. Friedman: Introduction to Neurons | |
D. Terman: An Introduction to Dynamical Systems and Neuronal Dynamics | |
B. Ermentrout: Neural Oscillators | |
A. Borisyuk: Physiology and Mathematical Modeling of the Auditory System | |
ISBN: | 9783540315445 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, Mathematical Biosciences, 1617-9692 : v1860 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Biology Data processing , Neurobiology , Differential Equations , Differential equations, partial , Biology Mathematics , Computer science Mathematics |
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Call number: | SPRINGER-2005-9783540314387:ONLINE Show nearby items on shelf |
Title: | Tutorials in Mathematical Biosciences II [electronic resource] : Mathematical Modeling of Calcium Dynamics and Signal Transduction |
Author(s): |
James Sneyd |
Date: | 2005 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book presents a series of models in the general area of cell physiology and signal transduction, with particular attention being paid to intracellular calcium dynamics, and the role played by calcium in a variety of celltypes. Calcium plays a cr ucial role in cell physiology, and the study of its dynamics lends insight into many different cellular processes. In particular, calcium plays a central role in muscular contraction, olfactory transduction andsynaptic communication, three of the topics t o be addressed in detail in this book. In addition to the models, this book also presents much of the underlying physiology, so that readers may learn both the mathematics and the physiologyat the same time, and see how the models are applied to specific biological questions. It is thus neither a mathematics book nor a physiology book, but has features from both sides of the fence. It is intended primarily as a graduatetext or a research reference. However, some parts of the book, particularly the introdu ctory chapters on calcium dynamics will be well within the reach of some undergraduates. It will serve as a concise and up-to-date introduction toall those who wish to learn about the state of calcium dynamics modeling, and how such models are applied to physiological questions |
Note: | Springer eBooks |
Contents: | Preface |
Introduction | |
Basic Concept of Ca2+ Signaling in Cells and Tissues (M. J. Sanderson) | |
Modeling IP | |
3 | |
Dependent Calcium Dynamics in Non | |
Excitable Cells (J. Sneyd) | |
Integrated Calcium Management in Cardiac Myocytes (T. R. Shannon) | |
Mechanisms and Models of Cardiac Excitation | |
Contraction Coupling (R. L. Winslow, R. Hinch, J. L. Greenstein) | |
Mathematical Analysis of the Generation of Force and Motion in Contracting Muscle (E. Pate) | |
Signal Transduction in Vertebrate Olfactory Receptor Cells (J. Reisert) | |
Mathematical Models of Synaptic Transmission and Short | |
Term Plasticity | |
ISBN: | 9783540314387 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, 0075-8434 : v1867 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Cytology , Biology Mathematics |
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Call number: | SPRINGER-2005-9780817644154:ONLINE Show nearby items on shelf |
Title: | Cellular Automaton Modeling of Biological Pattern Formation [electronic resource] : Characterization, Applications, and Analysis |
Author(s): |
Andreas Deutsch Sabine Dormann |
Date: | 2005 |
Publisher: | Boston, MA : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Springer eBooks |
ISBN: | 9780817644154 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Modeling and Simulation in Science, Engineering and Technology |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer simulation , Biology Mathematics , Physiology Mathematics , Mathematical physics |
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Call number: | SPRINGER-2003-9783642182372:ONLINE Show nearby items on shelf |
Title: | Advanced Topics in Computational Partial Differential Equations Numerical Methods and Diffpack Programming |
Author(s): | |
Date: | 2003 |
Size: | 1 online resource (663 p.) |
Note: | 10.1007/978-3-642-18237-2 |
Contents: | 1 Parallel Computing -- 1.1 Introduction to Parallel Computing -- 1.2 A Different Performance Model -- 1.3 The First MPI Encounter -- 1.4 Basic Parallel Programming with Diffpack -- 1.5 Parallelizing Explicit FD Schemes -- 1.6 |
Parallelizing FE Computations on Unstructured Grids -- References -- Overlapping Domain Decomposition Methods -- 2.1 Introduction -- 2.2 The Mathematical Formulations -- 2.3 A 1D Example -- 2.4 Some Important Issues -- 2.5 Components | |
of Overlapping DD Methods -- 2.6 A Generic Implementation Framework -- 2.7 Parallel Overlapping DD Methods -- 2.8 Two Application Examples -- References -- 3 Software Tools for Multigrid Methods -- 3.1 Introduction -- 3.2 Sketch of How | |
Multilevel Methods are Implemented in Diffpack -- 3.3 Implementing Multigrid Methods -- 3.4 Setting up an Input File -- 3.5 Playing Around with Multigrid -- 3.6 Equipping the Poisson2 Solver with Multigrid -- 3.7 Systems of Equations, | |
Linear Elasticity -- 3.8 Nonlinear Problems -- References -- 4 Mixed Finite Elements -- 4.1 Introduction -- 4.2 Model Problems -- 4.3 Mixed Formulation -- 4.4 Some Basic Concepts of a Finite Element -- 4.5 Some Code Examples -- 4.6 | |
Programming with Mixed Finite Elements in a Simulator -- References -- 5 Systems of PDEs and Block Preconditioning -- 5.1 Introduction -- 5.2 Block Preconditioners in General -- 5.3 The Bidomain Equations -- 5.4 Two Saddle Point | |
Problems -- References -- 6 Fully Implicit Methods for Systems of PDEs -- 6.1 Introduction -- 6.2 Implementation of Solvers for PDE Systems in Diffpack -- 6.3 Problem with the Gauss-Seidel Method, by Example -- 6.4 Fully Implicit | |
Implementation -- 6.5 Applications -- 6.6 Conclusion -- References -- 7 Stochastic Partial Differential Equations -- 7.1 Introduction -- 7.2 Some Simple Examples -- 7.3 Solution Methods -- 7.4 Quick Overview of Diffpack Tools -- 7.5 | |
Tools for Random Variables -- 7.6 Diffpack Tools for Random Fields -- 7.7 Summary -- 7.A Transformation of Random Variables -- 7.B Implementing a New Distribution -- References -- 8 Using Diffpack from Python Scripts -- 8.1 | |
Introduction -- 8.2 Developing Python Interfaces to C/C++ Functions -- 8.3 Compiling and Linking Wrapper Code with Diffpack -- 8.4 Converting Data between Diffpack and Python -- 8.5 Building an Interface to a More Advanced Simulator -- | |
8.6 Installing Python, SWIG etc -- 8.7 Concluding Remarks -- References -- 9 Performance Modeling of PDE Solvers -- 9.1 Introduction -- 9.2 Model Problems -- 9.3 Numerical Methods -- 9.4 Total CPU Time Consumption -- 9.5 Solution of | |
Linear Systems -- 9.6 Construction of Linear Systems -- 9.7 Concluding Remarks -- References -- 10 Electrical Activity in the Human Heart -- 10.1 The Basic Physiology -- 10.2 Outline of a Mathematical Model -- 10.3 The Bidomain Model | |
-- 10.4 A Complete Mathematical Model -- 10.5 Physiology of the Heart Muscle Tissue -- 10.6 The Numerical Method -- 10.7 Implementation -- 10.8 Optimization of the Simulator -- 10.9 Simulation Results -- 10.10 Concluding Remarks -- | |
References -- 11 Mathematical Models of Financial Derivatives -- 11.1 Introduction -- 11.2 Basic Assumptions -- 11.3 Forwards and Futures -- 11.4 The Black-Scholes Analysis -- 11.5 European Call and Put Options -- 11.6 American Options | |
-- 11.7 Exotic Options -- 11.8 Hedging -- 11.9 Remarks -- References -- 12 Numerical Methods for Financial Derivatives -- 12.1 Introduction -- 12.2 Model Summary -- 12.3 Monte-Carlo Methods -- 12.4 Lattice Methods -- 12.5 Finite | |
Difference Methods -- 12.6 Finite Element Methods -- References -- 13 Finite Element Modeling of Elastic Structures -- 13.1 Introduction -- 13.2 An Introductory Example Bar Elements -- 13.3 Another Example Beam Elements -- 13.4 General | |
Three-Dimensional Elasticity -- 13.5 Degrees of Freedom and Basis Functions -- 13.6 Material Types and Elasticity Matrices -- 13.7 Element Matrices in Local Coordinates -- 13.8 Element Load Vectors in Local Coordinates -- 13.9 Element | |
Matrices and Vectors in Global Coordinates -- 13.10 Element Forces, Stresses, and Strains -- 13.11 Implementation of Structural Elements -- 13.12 Some Example Programs -- 13.13 Test Problems -- 13.14 Summary -- References -- 14 | |
Simulation of Aluminum Extrusion -- 14.1 Introduction -- 14.2 Mathematical Formulation -- 14.3 Finite Element Implementation -- 14.4 Object-Oriented Implementation -- 14.5 Numerical Experiments -- 14.6 Concluding Remarks -- References | |
-- 15 Simulation of Sedimentary Basins -- 15.1 Introduction -- 15.2 The Geomechanical and Mathematical Problem -- 15.3 Numerical Methods -- 15.4 Implementing a Solver for a System of PDEs -- 15.5 Verification -- 15.6 A Magmatic Sill | |
Intrusion Case Study -- 15.7 Concluding Remarks -- References | |
ISBN: | 9783642182372 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Computational Science and Engineering: 33 |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Partial differential equations , Computer mathematics , Mathematics , Analysis , Computational Science and Engineering , Partial Differential Equations |
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Call number: | SPRINGER-2003-9780387216409:ONLINE Show nearby items on shelf |
Title: | Nonlinear Dynamics in Physiology and Medicine |
Author(s): | |
Date: | 2003 |
Size: | 1 online resource (436 p.) |
Note: | 10.1007/978-0-387-21640-9 |
Contents: | 1 Theoretical Approaches in Physiology -- 2 Introduction to Dynamics in Nonlinear Difference and Differential Equations -- 3 Bifurcations Involving Fixed Points and Limit Cycles in Biological Systems -- 4 Dynamics of Excitable Cells |
-- 5 Resetting and Entraining Biological Rhythms -- 6 Effects of Noise on Nonlinear Dynamics -- 7 Reentry in Excitable Media -- 8 Cell Replication and Control -- 9 Pupil Light Reflex: Delays and Oscillations -- 10 Data Analysis and | |
Mathematical Modeling of Human Tremor -- A An Introduction to XPP -- Michael C. Mackey -- A.1 ODE Files -- A.2 Starting and Quitting XPP -- A.3 Time Series -- A.4 Numerics -- A.5 Graphic Tricks -- A.5.1 Axis -- A.5.2 Multiplotting -- | |
A.5.3 Erasing -- A.5.4 Printing the Figures -- A.6 Examining the Numbers -- A.7 Changing the Initial Condition -- A.8 Finding the Fixed Points and Their Stability -- A.9 Drawing Nullclines and Direction Field -- A.10 Changing the | |
Parameters -- A.11 Auto -- A.11.1 Bifurcation Diagram -- A.11.2 Scrolling Through the Points on the Bifurcation Diagram -- A.12 Saving Auto Diagrams -- B An Introduction to Matlab -- Michèle S. Titcombe and Caroline Haurie -- R.1 | |
Starting and Quitting Matlab -- B.2 Vectors and Matrices -- B 2 1 Creating Matrices and Vectors -- .B.3 Suppressing Output to the Screen (the Semicolon!) -- B.4 Operations on Matrices -- B.5 Programs (M-Files) -- B.5.1 Script Files -- | |
B.5.2 Function Files -- B.6 The Help Command -- B.7 Loops -- B.8 Plotting -- B.8.1 Examples -- B.8.2 Clearing Figures and Opening New Figures -- B.8.3 Symbols and Colors for Lines and Points -- B.9 Loading Data -- B.9.1 Examples -- | |
B.10 Saving Your Work -- C Time Series Analysis -- Roderick Edwards and Michèle S. Titcombe -- C.1 The Distribution of Data Points -- C.2 Linear Processes -- C.3 Fourier Analysis | |
ISBN: | 9780387216409 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Interdisciplinary Applied Mathematics: 25 |
Keywords: | Mathematics , Neurosciences , Neurobiology , Biomathematics , Biophysics , Biological physics , Mathematics , Mathematical and Computational Biology , Neurosciences , Neurobiology , Biophysics and Biological Physics |
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Call number: | SPRINGER-2002-9780387217031:ONLINE Show nearby items on shelf |
Title: | Models of Neural Networks IV Early Vision and Attention |
Author(s): | |
Date: | 2002 |
Size: | 1 online resource (413 p.) |
Note: | 10.1007/978-0-387-21703-1 |
Contents: | 1 Neurons, Networks, and Cognition: An Introduction to Neural Modeling -- 1.1 Introduction -- 1.2 Neurons -- 1.3 Local Cortical Network Dynamics -- 1.4 Collective Computation: Associative Memory -- 1.5 Concluding Remarks -- 1.6 |
Acknowledgments -- 1.7 References -- 2 The Gaze Control System -- 2.1 Introduction -- 2.2 The Gaze Control System in One and Two Dimensions -- 2.3 New Aspects for Eye Rotations in 3D -- 2.4 Mathematics of 3D Rotational Kinematics -- | |
2.5 Donders’ Law and Listing’s Law -- 2.6 Head-free Saccadic Gaze Shifts in 3D -- 2.7 Conclusion -- 2.8 References -- 3 Integrating Anatomy and Physiology of the Primary Visual Pathway: From LGN to Cortex -- 3.1 Introduction -- 3.2 The | |
LGN -- 3.3 Models of the LGN -- 3.4 The Visual Cortex -- 3.5 Models of the Visual Cortex -- 3.6 References -- 4 Neural Principles of Preattentive Scene Segmentation: Hints from Cortical Recordings, Related Models, and Perception -- 4.1 | |
Introduction -- 4.2 Properties of Synchronized Fast Cortical Oscillations (FCOs) -- 4.3 Coding Contour Continuity -- 4.4 Coding Region Continuity -- 4.5 Coding the Separation of Adjacent Regions -- 4.6 Spatially Restricted | |
Synchronization Among FCOs -- 4.7 Additional Properties of FCOs -- 4.8 Stimulus-Locked Scene Segmentation -- 4.9 Early Labeling of Visual Objects by FCO- or Rate-Coherence? -- 4.10 Appendix -- 4.11 References -- 5 Figure-Ground | |
Segregation and Brightness Perception at Illusory Contours: A Neuronal Model -- 5.1 Introduction -- 5.2 Methods -- 5.3 Results -- 5.4 Discussion -- 5.5 Acknowledgment -- 5.6 References -- 6 Controlling the Focus of Visual Selective | |
Attention -- 6.1 Introduction -- 6.2 A Computational Model of The Dorsal Pathway -- 6.3 Simulation Results -- 6.4 Discussion -- 6.5 References -- 7 Activity-Gating Attentional Networks -- 7.1 Introduction -- 7.2 Activity-Gating | |
Networks -- 7.3 Results -- 7.4 Discussion -- 7.5 References -- 8 Timing and Counting Precision in the Blowfly Visual System -- 8.1 Introduction -- 8.2 Signal, Noise and Information Transmission in a Modulated Poisson Process -- 8.3 The | |
Early Stages of Fly Vision -- 8.4 Coding in a Blowfly Motion Sensitive Neuron -- 8.5 Discussion and Conclusions -- 8.6 References -- 9 Paradigms for Computing with Spiking Neurons -- 9.1 Introduction -- 9.2 A Formal Computational Model | |
for a Network of Spiking Neurons -- 9.3 McCulloch-Pitts Neurons versus Spiking Neurons -- 9.4 Computing with Temporal Patterns -- 9.5 Computing with a Space-Rate Code -- 9.6 Analog Computation on Time Series in a Space-Rate Code -- 9.7 | |
Computing with Firing Rates -- 9.8 Firing Rates and Temporal Correlations -- 9.9 Networks of Spiking Neurons for Storing and Retrieving Information -- 9.10 Computing on Spike Trains -- 9.11 Conclusions -- 9.12 References | |
ISBN: | 9780387217031 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Computer science , Artificial intelligence , Complexity, Computational , Computer Science , Artificial Intelligence (incl. Robotics) , Complexity |
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Call number: | SPRINGER-1999-9781461214564:ONLINE Show nearby items on shelf |
Title: | The Inverse Gaussian Distribution Statistical Theory and Applications |
Author(s): |
V Seshadri |
Date: | 1999 |
Size: | 1 online resource (347 p.) |
Note: | 10.1007/978-1-4612-1456-4 |
Contents: | I Statistical Theory -- 1. Distribution theory -- 2. Estimation -- 3. Significance tests -- 4. Sequential methods -- 5. Reliability & Survival analysis -- 6. Goodness-of-fit -- 7. Compound laws & mixtures -- II Applications -- A. |
Actuarial science -- B. Analysis of reciprocals -- C. Demography -- D. Histomorphometry -- E. Electrical networks -- F. Hydrology -- G. Life tests -- H. Management science -- I. Meteorology -- J. Mental health -- ?. Physiology -- L. | |
Remote sensing -- M. Traffic noise intensity -- N. Market research -- ?. Regression -- P. Slug lengths in pipelines -- Q. Ecology -- R. Entomology -- S. Small area estimation -- T. CUSUM -- U. Plutonium Estimation -- References -- | |
Author Index | |
ISBN: | 9781461214564 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Statistics: 137 |
Keywords: | Mathematics , Applied mathematics , Engineering mathematics , Mathematics , Applications of Mathematics |
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Call number: | SPRINGER-1998-9780387227061:ONLINE Show nearby items on shelf |
Title: | Mathematical Physiology |
Author(s): |
James Keener |
Date: | 1998 |
Size: | 1 online resource (767 p.) |
Note: | 10.1007/b98841 |
Contents: | Cellular Physiology -- Biochemical Reactions -- Cellular Homeostasis -- Membrane Ion Channels -- Excitability -- Calcium Dynamics -- Bursting Electrical Activity -- Intercellular Communication -- Passive Electrical Flow in Neurons -- |
Nonlinear Wave Propagation -- Wave Propagation in Higher Dimensions -- Cardiac Propagation -- Calcium Waves -- Regulation of Cell Function -- Systems Physiology -- Cardiac Rhythmicity -- The Circulatory System -- Blood -- Respiration | |
-- Muscle -- Hormone Physiology -- Renal Physiology -- The Gastrointestinal System -- The Retina and Vision -- The Inner Ear | |
ISBN: | 9780387227061 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Interdisciplinary Applied Mathematics: 8 |
Keywords: | Mathematics , Human physiology , Biomathematics , Mathematics , Mathematical and Computational Biology , Human Physiology |
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Call number: | SPRINGER-1993-9789401116589:ONLINE Show nearby items on shelf |
Title: | Climate under Cover Digital Dynamic Simulation in Plant Bio-Engineering |
Author(s): |
Tadashi Takakura |
Date: | 1993 |
Size: | 1 online resource (155 p.) |
Note: | 10.1007/978-94-011-1658-9 |
Contents: | 1. Introduction -- 1.1 Introduction -- 1.2 Europe and North America -- 1.3 Asia -- 1.4 Japan -- Problems -- 2. Definition of Covering and Properties of Covering Materials -- 2.1 Introduction -- 2.2 Mulching -- 2.3 Row covers (Tunnels) |
-- 2.4 Floating mulches (Floating row cover) -- 2.5 Rain shelters -- 2.6 Unheated greenhouses -- 2.7 Covering materials -- Problems -- 3. Digital Simulation -- 3.1 Introduction -- 3.2 System dynamics -- 3.3 Simulation languages -- 3.4 | |
Digital simulation by CSMP -- 3.5 Model structure and representation -- 3.6 A model for temperature regimes in the soil (CUC-01 -- 3.7 Application to steady-state models -- Problems -- 4. Heat Balance of Bare Ground -- 4.1 Introduction | |
-- 4.2 Convective heat transfer -- 4.3 A model with solar radiation and air temperature boundary condition (CUC-02) -- 4.4 Mass transfer -- 4.5 A model with latent heat transfer (CUC-03) -- 4.6 Radiation balance -- 4.7 Long-wave | |
radiation -- Problems -- 5. Solar Radiation Environment -- 5.1 Introduction -- 5.2 Units of radiation and light -- 5.3 Solar radiation properties of covering materials -- 5.4 Calculation of transmissivity (CUC-04) -- 5.5 Solar | |
radiation -- 5.6 The sun’s altitude and azimuth -- Problems -- 6. Temperature Environment under Cover -- 6.1 Introduction -- 6.2 Effect of mulching -- 6.3 Temperature environment under row covers (CUC-30) -- 6.4 Double layer greenhouse | |
model (CUC-50) -- 6.5 A pad and fan greenhouse model (CUC-35) -- Problems -- 7. CO2 Environment -- 7.1 Introduction -- 7.2 CO2 concentration in soil layer (CUC-70) -- 7.3 CO2 concentration in a plastic house and ventilation -- Problems | |
-- 8. Water and Water Vapor Environment -- 8.1 Introduction -- 8.2 Water and water vapor movement in soil -- 8.3 Application to water and heat balance in soil layer (CUC-90) -- 8.4 Interaction between water movement and heat flow -- | |
Problems -- 9. Control Function -- 9.1 Introduction -- 9.2 System response -- 9.3 PID control -- 9.4 Temperature control logic (CUC-120) -- 9.5 Feedback vs. feedforward control -- Problems -- 10. Plant Response to the Environment -- | |
10.1 Introduction -- 10.2 Plant photosynthesis and respiration -- 10.3 Energy balance of a plant leaf -- 10.4 Stomata resistance of plant (CUC-151) -- 10.5 Plant growth model -- Problems -- References | |
ISBN: | 9789401116589 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Atmospheric sciences , Plant physiology , System theory , Soil science , Soil conservation , Mathematics , Systems Theory, Control , Atmospheric Sciences , Soil Science & Conservation , Plant Physiology |
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Call number: | SPRINGER-1990-9783034892520:ONLINE Show nearby items on shelf |
Title: | Norbert Wiener 1894–1964 |
Author(s): |
P. R Masani |
Date: | 1990 |
Size: | 1 online resource (402 p.) |
Note: | 10.1007/978-3-0348-9252-0 |
Contents: | 1 Prologue -- 2 Count Tolstoy and Wiener’s Father -- 3 New England and Wiener’s Early Training, 1901–1905 -- 4 Harvard and Wiener’s University Training, 1906–1913 -- 5 Bertrand Russell and Wiener’s Postdoctoral Years, 1914–1917 -- 6 |
World War I and Wiener’s Military Yearnings -- 7 From Postulate Systems to the Brownian Motion and Potential Theory -- 8 The Allotment of National Income, Marriage, and Wiener’s Academic Career -- 9 From Communications Engineering to | |
Generalized Harmonic Analysis and Tauberian Theory -- 10 Max Born and Wiener’s Thoughts on Quantum Mechanics and Unified Field Theory -- 11 The Collaboration with E. Hopf and R.E.A.C. Paley -- 12 Birkhoff’s Theorem and the | |
Consolidation of Wiener’s Ideas on Statistical Physics -- 13 Lee, Bush, and Wiener’s Thoughts on Networks and Computers -- 14 Bigelow and Anti-Aircraft Fire Control, 1940–1945 -- 15 Arturo Rosenblueth and Wiener’s Work in Physiology -- | |
16 McCulloch, Pitts and the Evolution of Wiener’s Neurophysiological Ideas -- 17 The Cybernetical Movement and von Neumann’s Letter, 1946 -- 18 Cybernetics -- 19 The Second Industrial Revolution and its Educational, Economic and Social | |
Challenges -- 20 Wiener on Global Policy and Military Science von Neumann’s Position Science and Human Welfare -- 21 Wiener’s Excursion into the Religious Domain -- 22 Wiener’s Literary Predilections and Initiatives. His Concept of Art | |
-- 23 Wiener, the Man and the Teacher: Authenticity and Prejudice in his Attitudes and Writings -- 24 Epilogue -- Academic Vita of Norbert Wiener -- Doctoral Students of Norbert Wiener -- The Classification of Wiener’s Papers -- | |
Bibliography of Norbert Wiener -- Defense Department Documents -- References -- Name Index -- Photograph Index and Credits | |
ISBN: | 9783034892520 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Vita Mathematica : 5 |
Keywords: | Mathematics , History , Mathematics , History of Mathematical Sciences |
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Call number: | SPRINGER-1987-9783642933608:ONLINE Show nearby items on shelf |
Title: | Mathematical Topics in Population Biology, Morphogenesis and Neurosciences Proceedings of an International Symposium held in Kyoto, November 10–15, 1985 |
Author(s): | |
Date: | 1987 |
Size: | 1 online resource (352 p.) |
Note: | 10.1007/978-3-642-93360-8 |
Contents: | Introductory Lectures -- Chaos and fractals -- Recurrent themes in mathematical biology -- I. Mathematical Ecology and Population Biology -- The Structure of Populations and Communities -- Fantastic voyage into the deep: marine |
biofluid mechanics -- On the mathematical synthesis of physiological and behavioural mechanisms and population dynamics -- A necessary and sufficient assembly rule for real ecosystems -- Markovian foraging models -- The theory of | |
population dynamics: back to first principles -- Dispersal -- Ecological and evolutionary aspects of dispersal -- The speeds of traveling frontal waves in heterogeneous environments -- Quantitative modeling of growth and dispersal in | |
population models -- The interaction between dispersal and dormancy strategies in varying and heterogeneous environments -- Segregation structures of competing species mediated by a diffusive predator -- A spatially aggregating | |
population model involving size-distributed dynamics -- Evolution -- Evolution of the number of sexes -- A lattice model for population biology -- Population genetical mechanism of molecular evolution — stochastic selection as an | |
alternative to random drift — -- Evolutionary and ecological stability of prey-predator systems with predatory switching -- II. Mathematical Theories of Pattern and Morphogenesis -- Morphogenesis and Pattern Formation -- Pattern | |
formation by coupled oscillations: the pigmentation patterns on the shells of molluscs -- From map systems to plant morphogenesis -- The cortical tractor: a new model for epithelial morphogenesis -- Pattern Formation in Dictyostelium | |
discoideum -- An equilibrium theory of cell distribution in Dictyostelium discoideum -- A model for pattern formation in Dictyostelium discoideum -- A density dependent model for prestalk/prespore pattern formation in Dictyostelium | |
discoideum I. Basic mathematical framework -- Origin of bursting and birhythmicity in a model for cyclic AMP oscillations in Dictyostelium cells -- III. Theoretical Neurosciences and Related Problems in Physiology -- Neurosciences -- | |
Mathematical modelling of macroscopic brain phenomena -- A formal classification of bursting mechanisms in excitable systems -- On the topological representation of signals in self-organizing nerve fields -- The dynamics of a | |
glia-modulated neural network and its relation to brain functions -- Self-organization in nervous systems: some illustrations -- Physiology and Related Problems -- Toward molecular sensory physiology: mathematical models -- Outline of | |
some recent results on the first-passage-time problem in biological modeling -- Active rotator model for large populations of oscillatory and excitable elements -- The harnessing and stability of striated muscle | |
ISBN: | 9783642933608 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Biomathematics: 71 |
Keywords: | Mathematics , Neurosciences , Applied mathematics , Engineering mathematics , Biomathematics , Statistics , Mathematics , Applications of Mathematics , Neurosciences , Mathematical and Computational Biology , Statistics for Life Sciences, Medicine, Health Sciences |
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Call number: | SPRINGER-1987-9783540477914:ONLINE Show nearby items on shelf |
Title: | Nonlinear Semigroups, Partial Differential Equations and Attractors Proceedings of a Symposium held in Washington, D.C., August 5–8, 1985 |
Author(s): | |
Date: | 1987 |
Size: | 1 online resource (188 p.) |
Note: | 10.1007/BFb0077409 |
Contents: | Convergence properties of strongly-damped semilinear wave equations -- Numerical solution of certain nonlinear parabolic partial differential equations -- The explicit solution of nonlinear ordinary and partial differential equations |
I. Conceptual ideas -- Uniform boundness and genralized inverses in liapunov-schmidt method for subharmonics -- Existence of radially symmetric solutions of strongly damped wave equations -- Strongly damped semilinear second order | |
equations -- Nonlinear semigroup theory and viscosity solutions of Hamilton-Jacobi PDE -- Evolution equations with nonlinear boundary conditions -- Asymptotically smooth semigroups and applications -- The principle of spatial averaging | |
and inertial manifolds for reaction-diffusion equations -- Applications of semigroup theory to reaction-diffusion systems -- Ultrasingularities in nonlinear waves -- A reaction-hyperbolic system in physiology -- Compact perturbations | |
of linear m-dissipative operators which lack Gihman's property -- Two compactness lemmas -- The riccati equation: When nonlinearity reduces to linearity | |
ISBN: | 9783540477914 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 1248 |
Keywords: | Mathematics , Algebra , Mathematics , Algebra |
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Call number: | SPRINGER-1986-9789400954922:ONLINE Show nearby items on shelf |
Title: | Mathematical Modelling in Biomedicine Optimal Control of Biomedical Systems |
Author(s): |
Y Cherruault |
Date: | 1986 |
Size: | 1 online resource (258 p.) |
Note: | 10.1007/978-94-009-5492-2 |
Contents: | 0 Introduction -- 1 General Remarks on Modelling -- 1.1 Definitions -- 1. 2 The main techniques for modeling -- 1.3 Difficulties in modeling -- 2 Identification and Control in Linear Compartmental Analysis -- 2.1 The identification |
problem -- 2.2 The uniqueness problem -- 2.3 Numerical methods for identification -- 2.4 About the non-linear case -- 2.5 Optimization techniques -- 3 Optimal Control in Compartmental Analysis -- 3.1 General considerations -- 3.2 A | |
first explicit approach -- 3.3 The general solution -- 3.4 Numerical method -- 3.5 Optimal control in non-linear cases -- 4 Relations Between dose and Effect -- 4.1 General considerations -- 4.2 The non-linear approach -- 4.3 Simple | |
functional model -- 4.4 Optimal therapeutics -- 4.5 Numerical results -- 4.6 Non-linear compartment approach -- 4.7 Optimal therapeutics using a linear approach -- 4.8 Optimal control in a compartmental model with time lag -- 5 General | |
Modelling in Medicine -- 5.1 The problem and the corresponding model -- 5.2 The identification problem -- 5.3 A simple method for defining optimal therapeutics -- 5.4 The Pontryagin method -- 5.5 A simplified technique giving a | |
sub-optimum -- 5.6 A naive but useful method -- 6 Blood Glucose Regulation -- 6.1 Identification of parameters in dogs -- 6.2 The human case -- 6.3 Optimal control for optimal therapeutics -- 6.4 Optimal control problem involving | |
several criteria -- 7 Integral Equations in Biomedicine -- 7.1 Compartmental analysis -- 7.2 Integral equations from biomechanics -- 7.3 Other applications of integral equations -- 8 Numerical Solution of Integral Equations -- 8.1 | |
Linear integral equations -- 8.2 Numerical techniques for non-linear integral equations -- 8.3 Identification and optimal control using integral equations -- 8.4 Optimal control and non-linear integral equations -- 9 Problems Related | |
to Partial Differential Equations -- 9.1 General remarks -- 9.2 Numerical resolution of partial differential equations -- 9.3 Identification in partial differential equations -- 9.4 Optimal control with partial differential equations | |
-- 9.5 Other approaches for optimal control -- 9.6 Other partial differential equations -- 10 Optimality in Human Physiology -- 10.1 General remarks -- 10.2 A mathematical model for thermo-regulation -- 10.3 Optimization of pulmonary | |
mechanics -- 10.4 Conclusions -- 11 Errors in Modelling -- 11.1 Compartmental modeling -- 11.2 Sensitivity analysis -- 12 Open Problems in Biomathematics -- 12.1 Biological systems with internal delay -- 12.2 Biological systems | |
involving retroaction -- 12.3 Action of two (or more) drugs in the human organism -- 12.4 Numerical techniques for global optimization -- 12.5 Biofeedback and systems theory -- 12.6 Optimization of industrial processes -- 12.7 | |
Optimality in physiology -- 13 CONCLUSIONS -- Appendix — The Alienor program -- References | |
ISBN: | 9789400954922 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and Its Applications : 23 |
Keywords: | Mathematics , Mathematical models , Mathematics , Mathematical Modeling and Industrial Mathematics |
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Call number: | SPRINGER-1986-9783642826252:ONLINE Show nearby items on shelf |
Title: | Positive Feedback in Natural Systems |
Author(s): |
Donald L DeAngelis |
Date: | 1986 |
Size: | 1 online resource (290 p.) |
Note: | 10.1007/978-3-642-82625-2 |
Contents: | 1. Introduction -- 1.1 Homeostasis -- 1.2 Positive Feedback -- 1.3 Ecological Systems with Positive Feedback -- 1.4 Generalization 1: Increasing Complexity -- 1.5 Generalization 2: Accelerating Change -- 1.6 Generalization 3: |
Threshold Effects -- 1.7 Generalization 4: Fragility of Complex Systems -- 1.8 Summary and Conclusions -- 2. The Mathematics of Positive Feedback -- 2.1 Graphical Analysis of a Simple Dynamic Positive Feedback System -- 2.2 A System of | |
Two Mutualists -- 2.3 A System of Two Competitors -- 2.4 Mathematical Analysis of Positive Feedback -- 2.5 Summary and Conclusions -- 3. Physical Systems -- 3.1 The Life History of a Star -- 3.2 Geophysical Systems -- 3.3 Autocatalysis | |
in Chemical Systems -- 3.4 Summary and Conclusions -- 4. Evolutionary Processes -- 4.1 Early Evolution of Life -- 4.2 Evolution at the Species Level -- 4.3 Coevolution -- 4.4 Summary and Conclusions -- 5. Organisms Physiology and | |
Behaviour -- 5.1 Destructive Positive Feedback -- 5.2 Biochemical Processes in Cells and Organisms -- 5.3 Feeding and Drinking Behavior -- 5.4 Sleep -- 5.5 Movement and Motor-Sensory Relationships -- 5.6 Mind-Body Relationship -- 5.7 | |
Summary and Conclusions -- 6. Resource Utilization by Organisms -- 6.1 Energy Allocation Tactics -- 6.2 Territorial Defense Strategies -- 6.3 Chemical Defense Strategies -- 6.4 Growth Rate Strategy -- 6.5 Summary and Conclusions -- 7. | |
Social Behavior -- 7.1 Evolution of r- and K-strategies -- 7.2 Development of Social Strategies -- 7.3 Mating and Reproduction -- 7.4 Population Models Incorporating Sexual Reproduction -- 7.5 Small Group Dynamics -- 7.6 Castes In | |
Insect Societies -- 7.7 Dominance Within Groups -- 7.8 Models of Group Formation and Size -- 7.9 The Schooling of Fish -- 7.10 Social Interactions and Game Theory -- 7.11 Summary and Conclusions -- 8. Mutualistic and Competitive | |
Systems -- 8.1 Dynamics of Mutualistic Communities -- 8.2 Limits to Mutual Benefaction -- 8.3 Multi-Species Mutualism -- 8.4 Models of the Evolution of Mutualism -- 8.5 Isolation and Obligate Mutualism -- 8.6 Limited Competition -- 8.7 | |
Summary and Conclusions -- 9. Age-Structured Populations -- 9.1 Age Structure -- 9.2 Leslie Matrices -- 9.3 Compensatory Leslie Matrices -- 9.4 Interacting Populations -- 9.5 Coexistence of Two Interacting Populations -- 9.6 Other | |
Compensatory Models -- 9.7 Life-History Strategies -- 9.8 Intrinsic Rate of Increase -- 9.9 Reproductive Strategies -- 9.10 Summary and Conclusions -- 10. Spatially Heterogeneous Systems: Islands and Patchy Regions -- 10.1 Classical | |
Theory of Island Biogeography -- 10.2 Island Clusters -- 10.3 Insular Reserves -- 10.4 Modeling the Patchy System -- 10.5 A Single Species in a Patchy Region -- 10.6 Time to Extinction on a Patch -- 10.7 Persistence of a Species in a | |
Two-Patch Environment -- 10.8 Stability of a Single-Species, Two-Patch System -- 10.9 Persistence of a Species in an N-Patch Environment -- 10.10 Multi-Species, Multi-patch Systems with Competition and Mutalism -- 10.11 Persistence of | |
a Species in a Two-Species, Two-Patch Environment -- 10.12 Persistence of a Species in an L-Species, iV-Patch Environment -- 10.13 Stability of a Two-Species, Two-Patch Model -- 10.14 Stability of an L-Species, iV-Patch Model -- 10.15 | |
Relationship Between Reserve Design and Species Persistence -- 10.16 Summary and Conclusions -- 11. Spatially Heterogeneous Ecosystems: Pattern Formation -- 11.1 Spontaneous Emergence of Spatial Patterns -- 11.2 Diffusion Model -- 11.3 | |
Pattern Formation Through Instability -- 11.4 Congregation of Colonial Organisms -- 11.5 Boundary Formation by Competition -- 11.6 Summary and Conclusions -- 12. Disease and Pest Outbreaks -- 12.1 Physiological Effects in the Host | |
Species -- 12.2 Mutualistic Interactions of more than one Pathogenic Agent -- 12.3 Models of a Directly Communicated Disease or Parasite -- 12.4 Effects of Spatial Heterogeneity on Disease Outbreak Threshold Conditions -- 12.5 Design | |
of Immunization Programs -- 12.6 Shape of the Contagion Rate Function -- 12.7 Comparison with other Spatially Heterogeneous Models -- 12.8 Host-Vector Models -- 12.9 Summary and Conclusions -- 13. The Ecosystem and Succession -- 13.1 | |
The Ecosystem -- 13.2 Succession as a Positive Feedback Process -- 13.3 A Clementsian Model -- 13.4 Markov Chain Models -- 13.5 A Model of a Fire-Dependent System -- 13.6 Positive Feedback Loops in Ecosystems -- 13.7 Nutrient Cycling | |
-- 13.8 Selection on the Community or Ecosystem Level -- 13.9 Summary and Conclusions -- Appendices -- Appendix A: Positive Linear Systems -- Appendix B: Stability of Positive Feedback Systems -- Appendix C: Stability of Discrete-Time | |
Systems -- Appendix D: Positive Equilibria and Stability -- Appendix E: Comparative Statics of Positive Feedback Systems -- Appendix F: Similarity Transforms -- Appendix G: Bounds on the Roots of a Positive Linear System -- Appendix H: | |
Relationship Between Positive Linear System Stability Criteria and the Routh-Hurwitz Criteria -- References -- Author Index | |
ISBN: | 9783642826252 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Biomathematics: 15 |
Keywords: | Mathematics , Biomathematics , Mathematics , Mathematical and Computational Biology |
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Call number: | SPRINGER-1985-9783642932878:ONLINE Show nearby items on shelf |
Title: | Mathematics in Biology and Medicine Proceedings of an International Conference held in Bari, Italy, July 18–22, 1983 |
Author(s): | |
Date: | 1985 |
Size: | 1 online resource (528 p.) |
Note: | 10.1007/978-3-642-93287-8 |
Contents: | I. — Population Genetics and Ecology -- Invited Papers -- The role of diffusion in mathematical population biology: Skellam revisited -- The dynamics of structured populations: some examples -- Mathematical problems in the description |
of age structured populations -- Contributed Papers -- Models for mutual attraction and aggregation of motile individuals -- A problem on invariant manifolds arising in population genetics -- On a mathematical problem arising in cell | |
population biology -- The external memory of intertidal molluscs:a theoretical study of trail-following -- Stationary distributions for populations subject to random catastrophes -- A nonlinear diffusion equation in phytoplankton | |
dynamics with self—shading effects -- A model of aphid population with age structure -- On two-population models with switching depletion -- On some nonlinear diffusion models in population dynamics -- Reduction of the gene Flow of a | |
“neutral” linked gene due to the partial sterility of heterozygotes for a chromosome mutation -- Predator-mediated coexistence of competing species in a Volterra model -- On a nonlinear problem arising from interaction of algae with | |
light -- II. — Epidemics -- Invited Papers -- Congenital rubella syndrome (C.R.S.): models of disease control by vaccination -- A simulation model for the control of helminth diseases by chemotherapy -- Models for endemic diseases -- | |
Stochastic epidemics as point processes -- Contributed Papers -- A computer simulation program for the assessment of multistate epidemiological models of infectious diseases -- Mathematical model of hepatitis B -- Models of the | |
interaction of host genotypes and infectious disease -- On the general epidemic model in discrete time -- Control of virus transmission in age-structured populations -- Parameter estimation and validation for an epidemic model -- Local | |
stability in epidemic models for heterogeneous populations -- III. — Resource Management -- Invited Papers -- Bayesian methods in ecology and resource management -- Contributed Papers -- Stochastic differential equation models of | |
fisheries in an uncertain world: extinction probabilities, optimal fishing effort, and parameter estimation -- IV. — Physiology and Medicine -- Invited Papers -- Experiment designs identification of simple and complex models of | |
endocrine-metabolic systems -- A mathematical model for cardiac electric sources and related potential fields -- Mathematical analysis of immobilized enzyme systems -- Contributed Papers -- Modeling controls and variability of the cell | |
cycle -- The phase resetting characteristics of endogenously active neurones -- Theory of DNA superhelicity -- Determination of DNA synthesis rate in cell populations with locally exponential S-phase influx -- A numerical study for a | |
cell system -- Experimental validation of a mathematical procedure for the analysis of flow cytometric data -- A stochastic model for describing the space-time evolution of the extreme values of cardiac potentials on the chest surface | |
-- Statistical analysis of the coding capacity of complementary DNA strands -- Mass transport across multimembrane systems: a general analysis -- Time hierarchy in oscillating metabolic systems -- Modeling of the interaction between | |
ligands and cell membrane receptors in the presence of exogenous electric fields -- Balance of growth models of cell populations: the significance of simple mathematical considerations -- The age structure of populations of cells | |
reproducing by asymmetric division -- Numerical simulation of reentry of the activation wave in the heart hiss bundle -- Hopf bifurcation and the repetitive activity of excitable cells -- Nonlinear evolution equations with a | |
convolution term involved in some neurophysiological models -- Investigation of rapid metabolic reactions in whole organs by multiple pulse Labelling -- Cross-linking of identical particles by multiple ligand-types -- Enumeration of | |
RNA secondary structures by complexity -- Growth of cell populations -- V. — Compartmental Analysis -- Invited Papers -- A staging process with applications in biology and medicine -- On the use of residence time moments in the | |
statistical analysis of age-dependent stochastic compartmental systems -- An algorithm for reconstruction of count rate curves from total counts -- Contributed Papers -- On identifiability of linear compartmental systems: some results | |
obtained by means of structural properties of the associated graph -- Compartmental vs, noncompartmental modeling of ketone body kinetics -- Identifiability of compartmental models: on characterization of two extremal types of | |
input-output experiments -- VI. — General Mathematical Methods -- Invited Papers -- Estimation techniques for transport equations -- Stability of delay differential equations with applications in biology and medicine -- Existence of | |
quasi-solutions of systems of nonlinear elliptic BVP’s suggested by biochemical reactions -- Diffusion approximations and first passage time problems in population biology and neurobiology -- Contributed Papers -- The role of | |
exchangeability in biology, genetics and medicine -- Cyclic chemical systems: an asymptotic stability criterion -- On existence, uniqueness and attractivity of stationary solutions to some quasilinear parabolic systems -- Asymptotic | |
estimates for principal eigenvalues -- Remarks on the connection between positive feedback and instability in regard to model selection in population biology -- Lyapunov methods for a wide class of stochastic models in biology -- | |
Existence and uniqueness for a non linear Cauchy problem of hyperbolic type -- Catastrophe theory in biology -- S-system analysis of biological systems | |
ISBN: | 9783642932878 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Biomathematics: 57 |
Keywords: | Mathematics , Algebra , Applied mathematics , Engineering mathematics , Biomathematics , Mathematics , Applications of Mathematics , Algebra , Mathematical and Computational Biology |
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Call number: | SPRINGER-1985-9783642515804:ONLINE Show nearby items on shelf |
Title: | Temporal-Pattern Learning in Neural Models |
Author(s): |
Carme Torras i Genís |
Date: | 1985 |
Size: | 1 online resource (227 p.) |
Note: | 10.1007/978-3-642-51580-4 |
Contents: | 1 — Introduction -- 2 — Experimental Data and Previous Models -- 3 — Modelling and Simulation of a Plastic Pacemaker Neuron -- 4 — Analytic Study of the Entrainment Patterns -- 5 — Modelling and Simulation of a Network of Plastic |
Pacemaker Neurons -- 6 — Conclusions and Future Prospects -- A — Neuronal physiology. -- B — Properties of mappings from the unit circle onto itself. -- C — Glossary of Catalan labels in computer-made figures. -- References | |
ISBN: | 9783642515804 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Biomathematics, Brain Theory Subseries: 63 |
Keywords: | Mathematics , Algebra , Applied mathematics , Engineering mathematics , Biomathematics , Mathematics , Applications of Mathematics , Algebra , Mathematical and Computational Biology |
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Call number: | SPRINGER-1984-9781461252443:ONLINE Show nearby items on shelf |
Title: | Functional Relations, Random Coefficients, and Nonlinear Regression with Application to Kinetic Data |
Author(s): |
Søren Johansen |
Date: | 1984 |
Size: | 1 online resource (126 p.) |
Note: | 10.1007/978-1-4612-5244-3 |
Contents: | List of Contents -- 1. An example from physiology -- 1.1 The experiment and the data -- 1.2 The model -- 2. The general linear model -- 2.1 Independent observations with the same variance -- 2.2 Correlated observations with known |
covariance matrix -- 2.3 Correlated observations with unknown covariance matrix -- 2.4 The general linear model with estimated weights -- 3. The linear functional relation -- 3.1 Introduction -- 3.2 The model and the estimates -- 3.3 | |
Comments on the model -- 3.4 Asymptotic theory -- 3.5 Asymptotic properties of the estimators -- 3.6 Asymptotic properties of the test statistics -- 3.7 Comments on the asymptotic results -- 4. Random coefficient models -- 4.1 | |
Introduction -- 4.2 The balanced case -- 4.3 Test for the specification of the model -- 4.4 Test of hypotheses within the model -- 4.5 An analysis of the unbalanced case -- 5. Non linear regression -- 5.1 The model -- 5.2 Estimation -- | |
5.3 Hypothesis testing -- 5.4 Curvature -- 6. Some examples of non linear regression problems -- 7. References -- 8. Index -- Examples -- 9. Appendix | |
ISBN: | 9781461252443 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Statistics: 22 |
Keywords: | Mathematics , Applied mathematics , Engineering mathematics , Probabilities , Mathematics , Probability Theory and Stochastic Processes , Applications of Mathematics |
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Call number: | SPRINGER-1983-9783642689574:ONLINE Show nearby items on shelf |
Title: | Radiological Functional Analysis of the Vascular System Contrast Media — Methods — Results |
Author(s): | |
Date: | 1983 |
Size: | 1 online resource (298 p.) |
Note: | 10.1007/978-3-642-68957-4 |
Contents: | Welcoming Address -- I. Physiology -- Physiological Aspects Concerning the Diagnostic Analysis of Circulatory Dynamics -- II. Pharmacology of Contrast Media -- Contrast Media for Cardiovascular Analysis -- The Pharmacological Effect |
of Contrast Media on Renal Circulation Measured by Means of Angiodensitometry -- III. Technique of Injection -- Technique for Injection of Contrast Medium -- Model Experiments for Angiocinedensitometry -- IV. Physical and Technical | |
Basics for the Radiological Analysis of Circulation -- Problems of Choice of Reference System for Quantitative Radiological Circulation Analysis -- Information Content of Cinedensitometric Blood Flow Measurements -- Problems of | |
Different Methods of Radiographic Absorptiometry of Circulation -- Digital Videodensitometry: Some Approaches to Radiographic Image Restoration and Analysis -- Flow Measurements by Videodensitometry -- Influence of Time Resolution in | |
Cine and Video Cardangiography -- Automated Digital Image Processing for Hemodynamic Investigations -- Application Fields of Computer Angiography -- Demonstration of Dopamine Effect in Dog Kidneys by Computer Angiography -- V. Clinical | |
Applications and Results -- Roentgen Cinedensitometry of Blood Circulation -- Arterial Blood Flow -- Coronary Flow Measurements Using Cinedensitometry -- Survey of Techniques for Measuring Myocardial Microperfusion -- Densitometric | |
Analysis of Cerebral Blood Flow -- Angiocinedensitometry of Renal Blood Circulation by ECG Controlled Injection -- Results of Blood Flow Measurements -- Cinedensitometric Examinations of the Human Abdominal Aorta -- Cinedensitometric | |
Measurement of Flow in the Femoral and Iliac Arteries During Angioplasty -- Venous Blood Flow -- Determination of Portal and Arterial Liver Hemodynamics by Angiodensitometry -- Videodensitometric Measurement of Venous Return from the | |
Lower Limb -- Stenoses -- Computer Aided Densitometric Evaluation of Coronary Cineangiograms -- Quantification of Coronary Stenoses -- VI. Angiographic Studies by Image Subtraction -- Systems for Digital Diagnosis of Vessels -- | |
Analysis of the Circulatory System Using Intravenous Contrast Medium Injections -- Importance of Contrast Agent Bolus in Intravenous Subtraction Angiography -- Analytical Function Studies Using Digital Intravenous Angiography as a | |
Method for Quantitative Analysis of the Circulation -- Functional Possibilities with the Digital Vascular Imaging System -- Digital Subtraction Angiography as a Control Procedure After Surgery and Percutaneous Transluminal Angioplasty | |
-- VII. Dynamic Studies by Computed Tomography -- Bolus Geometry and Dynamics After Intravenous Injection of Contrast Media -- The Chronogram — Principle and First Results -- Renal Perfusion Studies by Means of CT -- Dynamic Computed | |
Tomography in Abdominal Tumors: New Aspects for Differential Diagnosis | |
ISBN: | 9783642689574 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Radiology , Hematology , Functional analysis , Mathematics , Functional Analysis , Imaging / Radiology , Hematology |
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Call number: | SPRINGER-1974-9783642808852:ONLINE Show nearby items on shelf |
Title: | Physics and Mathematics of the Nervous System Proceedings of a Summer School organized by the International Centre for Theoretical Physics, Trieste, and the Institute for Information Sciences, University of Tübingen, held at Trieste, August 21–31, 1973 |
Author(s): | |
Date: | 1974 |
Size: | 1 online resource (586 p.) |
Note: | 10.1007/978-3-642-80885-2 |
Contents: | I Physics and Mathematics in the Biological Context -- Catastrophe Geometry in Physics and Biology -- Some Limitations Affecting Physics and Mathematics as Applied to Biology and Especially to the Nervous System -- II Molecule and |
Brain -- An Integral Physico-chemical Model for Bioexcitability -- Molecular Information Processing in the Central Nervous System -- Discrete and Continuous Processes in Computers and Brains -- III Cellular and Sensory Biophysics -- | |
Postsynaptic Cell Characteristics Determining Membrane Potential Changes -- Limitations to Single-photon Sensitivity in Vision -- Visual Sensitivity -- Detection of Form and Pattern by Retinal Neurones -- Auditory Processing in the | |
Nervous System -- IV Network Physiology -- Neural Networks and the Brain -- Cerebellar Morphology and Physiology: Introductory Remarks -- Can Neurons Develop Responses to Objects? -- On the Representation of Objects and Their Relations | |
in the Brain -- Report on the Discussion Group on “Living Neural Nets” -- V Artificial Intelligence and Natural Behavior -- Complexity of Automata, Brains, and Behavior -- Model Neuron Based on the Josephson Effect -- Adequate | |
Locomotion Strategies for an Abstract Organism in an Abstract Environment - A Relational Approach to Brain Function -- The Artificial Intelligence/Psychology Approach to the Study of the Brain and Nervous System -- VI Molecular and | |
Modifiable Automata -- Cellular Automata -- On Turing Machines with Modifications -- Chemical Automata in Homogeneous and Reaction-Diffusion Kinetics -- Molecular Automata -- Structural and Dynamical Redundancy -- Modifiable Automata | |
with Tolerance: A Model of Learning -- VII The Approach From Information Theory -- Redundancy and Perception -- Sensory Coding and Economy of Nerve Impulses -- An Algorithmic Approach to Information Theory -- Information Theory and | |
Learning in Biology: Summary of the Workgroup Sessions -- VIII Dynamical and Chemical Systems -- Mathematical Models and Bifurcation Theory in Biology -- Biochemical Kinetics -- Geometrical Aspects of the Pseudo Steady State Hypothesis | |
in Enzyme Reactions -- A Synthetic Approach to Exotic Kinetics (With Examples) -- Concluding Remarks | |
ISBN: | 9783642808852 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Biomathematics: 4 |
Keywords: | Mathematics , Life sciences , Physics , Mathematics , Mathematics, general , Physics, general , Biomedicine general , Life Sciences, general |
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