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Call number: | 9783319520452:ONLINE Show nearby items on shelf |
Title: | Information Geometry and Population Genetics The Mathematical Structure of the Wright-Fisher Model |
Author(s): |
Julian Hofrichter |
Date: | 2017 |
Size: | 1 online resource (XII, 320 p. 3 illus., 2 illus. in color p.) |
Contents: | 1. Introduction -- 2. The Wright–Fisher model -- 3. Geometric structures and information geometry -- 4. Continuous approximations -- 5. Recombination -- 6. Moment generating and free energy functionals -- 7. Large deviation theory -- |
8. The forward equation -- 9. The backward equation -- 10.Applications -- Appendix -- A. Hypergeometric functions and their generalizations -- Bibliography | |
ISBN: | 9783319520452 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Mathematics , Human genetics , Mathematical analysis , Analysis (Mathematics) , Geometry , Probabilities , Biomathematics , Statistics , Mathematics , Mathematical and Computational Biology , Statistical Theory and Methods , Human Genetics , Analysis , Geometry , Probability Theory and Stochastic Processes |
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Call number: | 9783319458090:ONLINE Show nearby items on shelf |
Title: | Statistical Analysis of Proteomics, Metabolomics, and Lipidomics Data Using Mass Spectrometry |
Author(s): | |
Date: | 2017 |
Size: | 1 online resource (VIII, 295 p. 106 illus., 83 illus. in color p.) |
Contents: | Transformation, normalization and batch effect in the analysis of mass spectrometry data for omics studies -- Automated Alignment of Mass Spectrometry Data Using Functional Geometry -- The analysis of peptide-centric mass spectrometry |
data utilizing information about the expected isotope distribution -- Probabilistic and likelihood-based methods for protein identification from MS/MS data -- An MCMC-MRF Algorithm for Incorporating Spatial Information in IMS Data | |
Processing -- Mass Spectrometry Analysis Using MALDIquant -- Model-based analysis of quantitative proteomics data with data independent acquisition mass spectrometry -- The analysis of human serum albumin proteoforms using | |
compositional framework -- Variability Assessment of Label-Free LC-MS Experiments for Difference Detection -- Statistical approach for biomarker discovery using label-free LC-MS data - an overview -- Bayesian posterior integration for | |
classification of mass spectrometry data -- Logistic regression modeling on mass spectrometry data in proteomics case-control discriminant studies -- Robust and confident predictor selection in metabolomics -- On the combination of | |
omics data for prediction of binary Outcomes -- Statistical analysis of lipidomics data in a case-control study | |
ISBN: | 9783319458090 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Statistics , Analytical chemistry , Mathematical statistics , Bioinformatics , Biostatistics , Metabolism , Statistics , Statistics for Life Sciences, Medicine, Health Sciences , Biostatistics , Metabolomics , Computational Biology/Bioinformatics , Analytical Chemistry , Probability and Statistics in Computer Science |
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Call number: | 9783319457611:ONLINE Show nearby items on shelf |
Title: | Environmental Radiation Effects on Mammals A Dynamical Modeling Approach |
Author(s): |
Olga A Smirnova |
Date: | 2017 |
Edition: | 2nd ed. 2017 |
Size: | 1 online resource (XXIII, 359 p. 203 illus., 4 illus. in color p.) |
Contents: | Effects of Acute and Chronic Irradiation on the Blood-Forming System -- Effects of Non-Uniform Acute Irradiation on the Blood-Forming System. - The Small Intestine as a Target for Radiation -- Radiation and Humoral Immunity -- |
Modeling of Autoimmune Processes -- Individual-Based Approach to Risk Assessment of Radiation-Induced Mortality -- Effects of Acute and Chronic Irradiation on Human Hematopoiesis. - Radiogenic Leukemia Risk Assessment. - Radiation and | |
Skin. - Conclusions -- Index | |
ISBN: | 9783319457611 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Radiology , Occupational medicine , Animal physiology , Biomathematics , Aerospace engineering , Astronautics , Physics , Biological and Medical Physics, Biophysics , Occupational Medicine/Industrial Medicine , Aerospace Technology and Astronautics , Imaging / Radiology , Animal Physiology , Mathematical and Computational Biology |
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Call number: | SPRINGER-2016-9783662490785:ONLINE Show nearby items on shelf |
Title: | Boundaries of a Complex World |
Author(s): |
Andrei Ludu |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (112 p.) |
Note: | 10.1007/978-3-662-49078-5 |
Contents: | Part I Arts and Nonlinear Systems: `Nonlineart' -- Part II Mathematical Language -- Part III Applications -- Conclusions -- References |
ISBN: | 9783662490785 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Physical geography , Systems biology , Ecology , System theory , Statistical physics , Complexity, Computational , Physics , Nonlinear Dynamics , Complex Systems , Complexity , Systems Biology , Theoretical Ecology/Statistics , Earth System Sciences |
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Call number: | SPRINGER-2016-9783662475003:ONLINE Show nearby items on shelf |
Title: | Replication of Chaos in Neural Networks, Economics and Physics |
Author(s): |
Marat Akhmet |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (133 p.) |
Note: | 10.1007/978-3-662-47500-3 |
Contents: | Introduction -- Replication of Continuous Chaos about Equilibria -- Chaos Extension in Hyperbolic Systems -- Entrainment by Chaos -- Chaotification of Impulsive Systems by Perturbations -- Chaos Generation in Continuous/Discrete-Time |
Models -- Economic Models with Deterministic Chaos as Generated by Exogenous Continuous/Discrete Shocks -- Replication of Chaos by Neural Networks -- ntrainment by Spatiotemporal Chaos in Glow Discharge-Semiconductor Systems | |
ISBN: | 9783662475003 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Difference equations , Functional equations , Biomathematics , Statistical physics , Mechanics , Mechanics, Applied , Economic theory , Physics , Nonlinear Dynamics , Difference and Functional Equations , Theoretical and Applied Mechanics , Economic Theory/Quantitative Economics/Mathematical Methods , Mathematical and Computational Biology |
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Call number: | SPRINGER-2016-9783658132347:ONLINE Show nearby items on shelf |
Title: | Analysis of Single-Cell Data ODE Constrained Mixture Modeling and Approximate Bayesian Computation |
Author(s): |
Carolin Loos |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (92 p.) |
Note: | 10.1007/978-3-658-13234-7 |
Contents: | Modeling and Parameter Estimation for Single-Cell Data -- ODE Constrained Mixture Modeling for Multivariate Data -- Approximate Bayesian Computation Using Multivariate Statistics |
ISBN: | 9783658132347 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Bioinformatics , Computational biology , Computer mathematics , Biomathematics , Mathematics , Mathematical and Computational Biology , Computational Mathematics and Numerical Analysis , Computer Appl. in Life Sciences |
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Call number: | SPRINGER-2016-9783319412139:ONLINE Show nearby items on shelf |
Title: | The Statistical Physics of Fixation and Equilibration in Individual-Based Models |
Author(s): |
Peter Ashcroft |
Date: | 2016 |
Size: | 1 online resource (13 p.) |
Note: | 10.1007/978-3-319-41213-9 |
Contents: | Introduction -- Technical Background -- Finite Populations in Switching Environments -- Fixation Time Distribution -- Metastable States in Cancer Initiation -- The WKB Method: A User-guide -- Conclusions |
ISBN: | 9783319412139 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Cancer research , Bioinformatics , Game theory , Probabilities , Biomathematics , Sociophysics , Econophysics , Physics , Socio- and Econophysics, Population and Evolutionary Models , Mathematical and Computational Biology , Bioinformatics , Probability Theory and Stochastic Processes , Game Theory, Economics, Social and Behav. Sciences , Cancer Research |
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Call number: | SPRINGER-2016-9783319410425:ONLINE Show nearby items on shelf |
Title: | Topological Interactions in Ring Polymers |
Author(s): |
Davide Michieletto |
Date: | 2016 |
Size: | 1 online resource (5 p.) |
Note: | 10.1007/978-3-319-41042-5 |
Contents: | Introduction -- Predicting the Behaviour of Rings in Solution -- Molecular Dynamics Models -- Threading Rings -- A Biophysical Model for the Kinetoplast DNA -- The Role of Topology in DNA Gel Electrophoresis -- Conclusions. |
ISBN: | 9783319410425 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Polymers , Biomathematics , Amorphous substances , Complex fluids , Biophysics , Biological physics , Statistical physics , Dynamical systems , Physics , Soft and Granular Matter, Complex Fluids and Microfluidics , Polymer Sciences , Biophysics and Biological Physics , Mathematical and Computational Biology , Statistical Physics, Dynamical Systems and Complexity |
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Call number: | SPRINGER-2016-9783319320434:ONLINE Show nearby items on shelf |
Title: | The Mathematics Behind Biological Invasions |
Author(s): |
Mark A Lewis |
Date: | 2016 |
Size: | 1 online resource (19 p.) |
Note: | 10.1007/978-3-319-32043-4 |
Contents: | Introduction.-Dynamics of Biological Invasions.-Reaction-Diffusion Models: Single Species -- Invasion in a Multispecies System -- Long-Distance Dispersal and Spread -- A User’s Guide to Integrodifference Models for Invasive Spread -- Stochasticit y and Invasion Dynamics -- Stochastic Spread -- Assessing Invasion Risk -- Responding to invasions: Detection, control, and adaptation -- Appendix.-References.-Index |
ISBN: | 9783319320434 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Interdisciplinary Applied Mathematics: 44 |
Keywords: | Mathematics , Dynamics , Ergodic theory , Partial differential equations , Biomathematics , Statistics , Mathematics , Mathematical and Computational Biology , Statistics for Life Sciences, Medicine, Health Sciences , Genetics and Population Dynamics , Dynamical Systems and Ergodic Theory , Partial Differential Equations |
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Call number: | SPRINGER-2016-9783319303284:ONLINE Show nearby items on shelf |
Title: | Probabilistic Models of Population Evolution Scaling Limits, Genealogies and Interactions |
Author(s): |
Étienne Pardoux |
Date: | 2016 |
Size: | 1 online resource (2 p.) |
Note: | 10.1007/978-3-319-30328-4 |
Contents: | Introduction -- Branching Processes -- Convergence to a Continuous State Branching Process -- Continuous State Branching Process (CSBP) -- Genealogies -- Models of Finite Population with Interaction -- Convergence to a Continuous State Model -- Con tinuous Model with Interaction -- Appendix |
ISBN: | 9783319303284 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematical Biosciences Institute Lecture Series : 1.6 |
Keywords: | Mathematics , Ecology , Probabilities , Biomathematics , Mathematics , Mathematical and Computational Biology , Probability Theory and Stochastic Processes , Theoretical Ecology/Statistics |
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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-2016-9783319296388:ONLINE Show nearby items on shelf |
Title: | Introduction to Mathematical Biology Modeling, Analysis, and Simulations |
Author(s): |
Ching Shan Chou |
Date: | 2016 |
Size: | 1 online resource (38 p.) |
Note: | 10.1007/978-3-319-29638-8 |
Contents: | Introduction -- Bacterial Growth in Chemostat -- System of Two Linear Differential Equations -- System of Two Differential Equations -- Predator-Prey Models -- Two Competing Populations -- General Systems of Differential Equations -- The Chemostat Model Revisited -- Spread of Disease -- Enzyme Dynamics -- Bifurcation Theory -- Atherosclerosis: The Risk of High Cholesterol -- Cancer-Immune Interaction. Cancer Therapy -- Tuberculosis -- Solutions |
ISBN: | 9783319296388 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Mathematical physics , Biomathematics , Systems biology , Biological systems , Mathematics , Mathematical and Computational Biology , Mathematical Applications in the Physical Sciences , Biological Networks, Systems Biology |
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Call number: | SPRINGER-2016-9783319288932:ONLINE Show nearby items on shelf |
Title: | Data-driven Modelling of Structured Populations A Practical Guide to the Integral Projection Model |
Author(s): |
Stephen P Ellner |
Date: | 2016 |
Size: | 1 online resource (29 p.) |
Note: | 10.1007/978-3-319-28893-2 |
Contents: | Introduction -- Simple Deterministic IPM -- Basic Analysis 1: Demographic Measures and Events in the Life Cycle -- Basic Analysis 2: Prospective Perturbation Analysis -- Density Dependence -- General Deterministic IPM -- Environmental Stochasticity -- Spatial Models -- Evolutionary Demography -- Future Directions and Advanced Topics |
ISBN: | 9783319288932 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Bioinformatics , Computational biology , Biomathematics , Mathematics , Mathematical and Computational Biology , Computer Appl. in Life Sciences |
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Call number: | SPRINGER-2016-9783319270814:ONLINE Show nearby items on shelf |
Title: | Scientific Models Red Atoms, White Lies and Black Boxes in a Yellow Book |
Author(s): |
Philip Gerlee |
Date: | 2016 |
Size: | 1 online resource (8 p.) |
Note: | 10.1007/978-3-319-27081-4 |
Contents: | Prologue -- History.- Structure, Relation and Use -- Interviews.- Worked Examples -- Epilogue -- Further Reading |
ISBN: | 9783319270814 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Mathematics , Mathematical models , Biomathematics , Mathematics , Mathematical Modeling and Industrial Mathematics , Mathematical and Computational Biology , Philosophy of Mathematics |
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Call number: | SPRINGER-2014-9783642549595:ONLINE Show nearby items on shelf |
Title: | A Primer on Scientific Programming with Python [electronic resource] |
Author(s): |
Hans Petter Langtangen |
Date: | 2014 |
Edition: | 4th ed. 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | The book serves as a first introduction to computer programming of scientific applications, using the high-level Python language. The exposition is example and problem-oriented, where the applications are taken from mathematics,numerical calculus, st atistics, physics, biology and finance. The book teaches Matlab-style and procedural programming as well as object-oriented programming. High school mathematics is a required background and it is advantageousto study classical and numerical one-variable c alculus in parallel with reading this book. Besides learning how to program computers, the reader will also learn how to solve mathematical problems, arising in various branches of scienceand engineering, with the aid of numerical methods and programming. By blending programming, mathematics and scientific applications, the book lays a solid foundation for practicing computational science. From the reviews: Langtangen does an excellent job of introducing programming as a set of skills in problem solving. He guides the reader into thinking properly about producing program logic and data structures for modeling real-world problems using objectsand functions and embracing the object-oriented paradigm. Summing Up: Highly recommended. F. H. Wild III, Choice, Vol. 47 (8), April 2010 Those of us who have learned scientific programming in Python on the streets could be alittle jealous of students who have the opportunity to take a course out of Langtangens Primer. John D. Cook, The Mathematical Association of Am erica, September 2011 This book goes through Python in particular, and programmingin general, via tasks that scientists will likely perform. It contains valuable informationfor students new to scientific computing and would be the perfect bridge between a n introduction to programming and an advanced course onnumerical methods or computational science. Alex Small, IEEE, CiSE Vol. 14 (2), March/April 2012 |
Contents: | Preface |
Computing with Formulas | |
Loops and Lists | |
Functions and Branching | |
User Input and Error Handling | |
Array Computing and Curve Plotting | |
Dictionaries and Strings | |
Introduction to Classes | |
Random Numbers and Simple Games | |
Object | |
Oriented Programming | |
Sequences and Difference Equations | |
Introduction to Discrete Calculus | |
Introduction to Differential Equations | |
A Complete Differential Equation Project | |
Programming of Differential Equations | |
Debugging | |
Migrating Python to Compiled Code | |
Technical Topics | |
Bibliography | |
Index | |
ISBN: | 9783642549595 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Texts in Computational Science and Engineering, 1611-0994 : v6 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Software engineering , Computer science |
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Call number: | SPRINGER-2014-9783642545931:ONLINE Show nearby items on shelf |
Title: | Neural Fields [electronic resource] : Theory and Applications |
Author(s): |
Stephen Coombes Peter beim Graben Roland Potthast James Wright |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | With this book, the editors present the first comprehensive collection in neural field studies, authored by leading scientists in the field - among them are two of the founding-fathers of neural field theory. Up to now, researchresults in the field h ave been disseminated across a number of distinct journals from mathematics, computational neuroscience, biophysics, cognitive science and others. Starting with a tutorial for novices in neural field studies, thebook comprises chapters on emergent pattern s, their phase transitions and evolution, on stochastic approaches, cortical development, cognition, robotics and computation, large-scale numerical simulations, the coupling of neural fieldsto the electroencephalogram and phase transitions in anesthesia. The intended readership are students and scientists in applied mathematics, theoretical physics, theoretical biology, and computational neuroscience. Neural field theoryand its applications have a long-standing tradition in the mathematical and computati onal neurosciences. Beginning almost 50 years ago with seminal work by Griffiths and culminating in the 1970ties with the models of Wilson and Cowan,Nunez and Amari, this important research area experienced a renaissance during the 1990ties by the groups of Ermentrout, Bressloff, Haken, and Wright. Since then, much progress has been made in both, the development of mathematical andnumerical techniques, and in physiological refinement and understanding. In contrast to large-scale neural network models desc ribed by huge connectivity matrices that are computationally expensive in numerical simulations, neural fieldmodels described by connectivity kernels allow for analytical treatment by means of functional analysis methods. Thus, a number of rigorous result s on the existence of bump and wave solutions or on inverse kernel construction problemsare nowadays available. Moreover, neural fields provide an important interface for the coupling of continuous neur |
Contents: | Preface |
1.Tutorial on Neural Field Theory. S. Coombes, P. beim Graben and R. Potthast | |
Part I Theory of Neural Fields | |
2.A Personal Account of the Development of the Field Theory of Large | |
Scale Brain Activity from 1945 Onward. J. Cowan | |
3.HeavisideWorld: Excitation and Self | |
Organization of Neural Fields. Shun | |
ichi Amari | |
4.Spatiotemporal Pattern Formation in Neural Fields with Linear Adaptation. G.B. Ermentrout, S.E. Folias and Z.P. Kilpatrick | |
5.PDE Methods for Two | |
Dimensional Neural Fields. C.R. Laing | |
6.Numerical Simulation Scheme of One | |
and Two Dimensional Neural Fields Inv | |
ISBN: | 9783642545931 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Functional analysis , Integral equations , Consciousness |
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Call number: | SPRINGER-2014-9781461495420:ONLINE Show nearby items on shelf |
Title: | Functional and Phylogenetic Ecology in R [electronic resource] |
Author(s): |
Nathan G Swenson |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Functional and PhylogeneticEcology in R is designed to teach readers to use R for phylogenetic and functional trait analyses. Over the past decade, a dizzying array of tools and methods were generated to incorporatephylogenetic and functional informa tion into traditional ecological analyses. Increasingly these tools are implemented in R, thus greatly expanding their impact. Researchers getting started in R can use this volume as a step-by-stepentryway into phylogenetic and functional analyses for eco logy in R. More advanced users will be able to use this volume as a quick reference to understand particular analyses. The volume begins with an introduction to the Renvironment and handling relevant data in R. Chapters then cover phylogenetic and functio nal metrics of biodiversity null modeling and randomizations for phylogenetic and functional trait analyses integrating phylogenetic andfunctional trait information and interfacing the R environment with a popular C-based program. This book presents a uni que approach through its focus on ecological analyses and not macroevolutionary analyses. The author provides hisown code, so that the reader is guided through the computational steps to calculate the desired metrics. This guided approach simplifies the w ork of determining which package to use for any given analysis. Example datasets are sharedto help readers practice, and readers can then quickly turn to their own datasets |
Contents: | Preface |
Introduction | |
Phylogenetic Data in R | |
Phylogenetic Diversity | |
Functional Diversity | |
Phylogenetic & Functional Beta Diversity | |
Null Models | |
Comparative Methods & Phylogenetic Signal | |
Partitioning the Phylogenetic, Functional, Environmental and Spatial Components of Community Diversity | |
Integrating R with Other Phylogenetic and Functional Trait Analytical Software | |
References | |
Index | |
ISBN: | 9781461495420 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Use R!, 2197-5736 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Ecology , Evolution (Biology) , Mathematical statistics |
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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-2013-9783642381898:ONLINE Show nearby items on shelf |
Title: | Facets of Combinatorial Optimization [electronic resource] : Festschrift for Martin Grtschel |
Author(s): |
Michael Jnger Gerhard Reinelt |
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: | Martin Grtschel is one of the most influential mathematicians of our time. He has received numerous honors and holds a number of key positions in the international mathematical community. He celebrated his 65th birthday onSeptember 10, 2013. Martin G rtschels doctoral descendant tree 19832012, i.e., the first 30 years, features 39 children, 74 grandchildren, 24 great-grandchildren, and 2 great-great-grandchildren, a total of 139 doctoraldescendants. This book starts with a personal tribute to Martin G rtschel by the editors (Part I), a contribution by his very special predecessor Manfred Padberg on Facets and Rank of Integer Polyhedra (Part II), and thedoctoral descendant tree 19832012 (Part III). The core of this book (Part IV) contains 16 contributio ns, each of which is coauthored by at least one doctoral descendant. The sequence of the articles starts with contributions tothe theory of mathematical optimization, including polyhedral combinatorics, extended formulations, mixed-integer convex optimiza tion, superclasses of perfect graphs, efficient algorithms for subtree-telecenters, junctions in acyclicgraphs, and preemptive restricted strip covering, as well as efficient approximation of non-preemptive restricted strip covering. Combinations of new t heoretical insights with algorithms and experiments deal with network designproblems, combinatorial optimization problems with submodular objective functions, and more general mixed-integer nonlinear optimization problems. Applications include VLSI layout design, systems biology, wireless network design,mean-risk optimization, and gas network optimization. Computational studies include a semidefinite branch and cut approach for the max k-cut problem, mixed-integer nonlinear optimal control, and mixed-inte ger linear optimization forscheduling and routing of fly-in safari planes. The two closing articles are devoted to computational advances in general mixed-integer li |
Note: | Springer eBooks |
Contents: | Martin Grtschel |
a tribute: M.Jnger and G.Reinelt | |
Facets and rank of integer polyhedra:M.Padberg | |
Constructing extended formulations from reflection relations:V.Kaibel and K.Pashkovich | |
Exact algorithms for combinatorial optimization problems with submodular objective functions: F.Baumann, S.Berckey, and C.Buchheim | |
Solving k | |
way graph partitioning problems to optimality: The impact of semidefinite relaxations and the bundle method: M.F. Anjos, B.Ghaddar, L.Hupp, F.Liers and A.Wiegele | |
Mirror | |
descent methods in mixed | |
integer convex optimization: M.Baes, T.Oertel, Ch.Wagner | |
ISBN: | 9783642381898 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computational complexity , Algorithms , Mathematical optimization |
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Call number: | SPRINGER-2013-9783642275555:ONLINE Show nearby items on shelf |
Title: | Differential-Algebraic Equations: A Projector Based Analysis [electronic resource] |
Author(s): |
Ren Lamour Roswitha Mrz Caren Tischendorf |
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: | Differential algebraic equations (DAEs), including so-called descriptor systems, began to attract significant research interest in applied and numerical mathematics in the early 1980s, no more than about three decades ago. In thisrelatively short tim e, DAEs have become a widely acknowledged tool to model processes subjected to certain constraints in order to simulate and to control processes in various application fields such as network simulation, chemicalkinematics, mechanical engineering and syste ms biology. DAEs and their more abstract versions in infinite dimensional spaces comprise a great potential forthe future mathematical modeling of complex coupled processes. The purpose ofthe book is to expose the impressive complexity of general DAEs fro m an analytical point of view, to describe the state of the art as well as open problems andin sodoing to motivate further researchof this versatile,extraordinary topic from a broader mathematical perspective. The book elaborates on a new general, structu ral analysis capturing linear and nonlinear DAEs in a hierarchical way. The DAE structure is exposed by means of specialprojector functions. Some issues on numerical integration and computational aspects are also treated in this context |
Note: | Springer eBooks |
Contents: | Notations |
Introduction | |
Part I. Projector based approach | |
1 Linear constant coefficient DAEs | |
.2 Linear DAEs with variable coefficients | |
3 Nonlinear DAEs | |
Part II. Index | |
1 DAEs: Analysis and numerical treatment | |
4 Analysis | |
5 Numerical integration | |
6 Stability issues | |
Part III. Computational aspects | |
7 Computational linear algebra aspects | |
8 Aspects of the numerical treatment of higher index DAEs | |
Part IV. Advanced topics | |
9 Quasi | |
regular DAEs | |
10 Nonregular DAEs | |
11 Minimization with constraints described by DAEs | |
12 Abstract differential algebraic equations | |
ISBN: | 9783642275555 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Differential-Algebraic Equations Forum |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential Equations , Computer science Mathematics |
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Call number: | SPRINGER-2013-9781461490531:ONLINE Show nearby items on shelf |
Title: | Optimization Approaches for Solving String Selection Problems [electronic resource] |
Author(s): |
Elisa Pappalardo Panos M Pardalos Giovanni Stracquadanio |
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: | Optimization Approaches for Solving String Selection Problemsprovides an overview of optimization methods for a wide class of genomics-related problems in relation to the string selection problems. This class of problemsaddresses the recognition of s imilar characteristics or differences within biological sequences. Specifically, this book considers a large class of problems, ranging from the closest string and substring problems, to the fartheststring and substring problems, to the far from most stri ng problem.Each problem includes a detailed description, highlighting both biological and mathematical features and presents state-of-the-art approaches. This Briefprovidesaquick introduction of optimization methods for string selection problems for young scientists and a detailed description of the mathematical and computational methods developed for experts in the field of optimization who want todeepen their understanding of the string selection problems.Researchers, practitionersand graduate students in the field of Computer Science, Operation Research, Mathematics, Computational Biology and Biomedicine will find thisbook useful. |
Note: | Springer eBooks |
Contents: | 1. Biological Sequences |
2. Strings: Theory, Properties and Applications | |
3. Mathematical Optimization | |
4. String Selection Problems | |
ISBN: | 9781461490531 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | SpringerBriefs in Optimization, 2190-8354 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computational complexity , Computer science , Computer science Mathematics |
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Call number: | SPRINGER-2013-9781461476870:ONLINE Show nearby items on shelf |
Title: | Brownian Dynamics at Boundaries and Interfaces [electronic resource] : In Physics, Chemistry, and Biology |
Author(s): |
Zeev Schuss |
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: | Brownian dynamics serve as mathematical models for the diffusive motion of microscopic particles of various shapes in gaseous, liquid, or solid environments. The renewed interest in Brownian dynamics is due primarily to their keyrole in molecular and cellular biophysics: diffusion of ions and molecules is the driver of all life. Brownian dynamics simulations are the numerical realizations of stochastic differential equations that model the functions ofbiological micro devices such as protein ionic ch annels of biological membranes, cardiac myocytes, neuronal synapses, and many more. Stochastic differential equations are ubiquitous models in computational physics, chemistry,biophysics, computer science, communications theory, mathematical finance theor y, and many other disciplines. Brownian dynamics simulations of the random motion of particles, be it molecules or stock prices, give rise to mathematicalproblems that neither the kinetic theory of Maxwell and Boltzmann, nor Einsteins and Langevins theori es of Brownian motion could predict. This book takes the readers on a journey that starts with the rigorous definition ofmathematical Brownian motion, and ends with the explicit solution of a series of complex problems that have immediate applications. It is aimed at applied mathematicians, physicists, theoretical chemists, and physiologists who areinterested in modeling, analysis, and simulation of micro devices of microbiology. The book contains exercises and worked out examples throughout |
Note: | Springer eBooks |
Contents: | The Mathematical Brownian Motion |
Euler Simulation of Ito SDEs | |
Simulation of the Overdamped Langevin Equation | |
The First Passage Time of a Diffusion Process | |
Chemical Reaction in Microdomains | |
The Stochastic Separatrix | |
Narrow Escape in R2 | |
Narrow Escape in R3 | |
ISBN: | 9781461476870 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied Mathematical Sciences, 0066-5452 : v186 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Distribution (Probability theory) , Mathematical physics |
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Call number: | SPRINGER-2013-9781461458388:ONLINE Show nearby items on shelf |
Title: | Optimization [electronic resource] |
Author(s): |
Kenneth Lange |
Date: | 2013 |
Edition: | 2nd ed. 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: | Finite-dimensional optimization problems occur throughout the mathematical sciences. The majority of these problems cannot be solved analytically. This introduction to optimization attempts to strike a balance betweenpresentation of mathematical theo ry and development of numerical algorithms. Building on students skills in calculus and linear algebra, the text provides a rigorous exposition without undue abstraction. Its stress on statisticalapplications will be especially appealing to graduate stude nts of statistics and biostatistics. The intended audience also includes students in applied mathematics, computational biology, computer science, economics, and physics whowant to see rigorous mathematics combined with real applications. In this second edition, the emphasis remains on finite-dimensional optimization. New material has been added on the MM algorithm, block descent and ascent, and thecalculus of variations. Convex calculus is now treated in much greater depth. Advanced topics such as the F enchel conjugate, subdifferentials, duality, feasibility, alternating projections, projected gradient methods, exact penaltymethods, and Bregman iteration will equip students with the essentials for understanding modern data mining techniques in high dime nsions |
Note: | Springer eBooks |
Contents: | Elementary Optimization |
The Seven Cs of Analysis | |
The Gauge Integral | |
Differentiation | |
Karush | |
Kuhn | |
Tucker Theory | |
Convexity | |
Block Relaxation | |
The MM Algorithm | |
The EM Algorithm | |
Newtons Method and Scoring | |
Conjugate Gradient and Quasi | |
Newton | |
Analysis of Convergence | |
Penalty and Barrier Methods | |
Convex Calculus | |
Feasibility and Duality | |
Convex Minimization Algorithms | |
The Calculus of Variations | |
Appendix: Mathematical Notes | |
References | |
Index | |
ISBN: | 9781461458388 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Texts in Statistics, 1431-875X : v95 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Mathematical optimization , Mathematical statistics , Operations research |
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Call number: | SPRINGER-2013-9781441979971:ONLINE Show nearby items on shelf |
Title: | Handbook of Combinatorial Optimization [electronic resource] |
Author(s): |
Panos M Pardalos Ding-Zhu Du Ronald L Graham |
Date: | 2013 |
Edition: | 2nd ed. 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: | The second edition of this 5-volume handbook is intended to be a basic yet comprehensive reference work in combinatorial optimization that will benefit newcomers and researchers for years to come. This multi-volumework dealswith several algorithmic a pproaches for discrete problems as well as with many combinatorial problems. The editors have brought together almost every aspect of this enormous field of combinatorial optimization, an area of research atthe intersection of applied mathematics, compute r science, and operations research and which overlaps with many other areas such as computation complexity, computational biology, VLSI design, communications networks, and managementscience. Aninternational team of 30-40 experts in the field form the edi torial board. The Handbook of Combinatorial Optimization, second edition is addressed to all scientists who use combinatorial optimization methods to model andsolve problems. Experts in the field as well as non-specialists will find the material stimulati ng and useful |
Note: | Springer eBooks |
Contents: | Introduction |
Part 1. General Methodology | |
Analysis of Greedy Approximations | |
Guillotine Partition in Geometric Optimization | |
Mixed | |
Integer Nonlinear Optimization in Process Synthesis | |
Connection between Nonlinear Programming and Discrete Optimization | |
Interior Point Methods for Combinatorial Optimization | |
Fractional Combinatorial Optimization | |
Reformulation | |
Linearization Techniques for Discrete Optimization Problems | |
Grobner Bases in Integer Programming | |
Dynamical System Approaches to Combinatorial Optimization | |
Semidefinite Relaxation, Multivariate Norma Distribution an | |
ISBN: | 9781441979971 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Combinatorics , Mathematical optimization |
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Call number: | SPRINGER-2012-9789491216473:ONLINE Show nearby items on shelf |
Title: | Stochastic Differential Games. Theory and Applications [electronic resource] |
Author(s): |
Kandethody M Ramachandran Chris P Tsokos |
Date: | 2012 |
Publisher: | Paris : Atlantis Press |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Conflicts in the form of wars, or competition among countries and industrial institutions are plenty in human history. The introduction of game theory in the middle of the twentieth century shed insights and enabled researchers toanalyze this subject with mathematical rigor. From the ground-breaking work of VonNeumann and Morgenston, modern game theory evolved enormously. In the last few decades, Dynamic game theory framework has been deepened and generalizedfrom the pioneering work on differential g ames by R. Isaacs, L.S. Pontryagin and his school, and on stochastic games by Shapley. This book will expose the reader to some of the fundamental methodology in non-cooperative game theory,and highlight some numerical methods, along with some relevant ap plications. Since the early development days, differential game theory has had a significant impact in such diverse disciplines as applied mathematics, economics, systemstheory, engineering, operations, research, biology, ecology, environmental sciences, among others. Modern game theory now relies on wide ranging mathematical and computational methods, and relevant applications that are rich andchallenging. Game theory has been widely recognized as an important tool in many fields. Importance of game theo ry to economics is illustrated by the fact that numerous game theorists, such as John Forbes Nash, Jr., Robert J. Aumannand Thomas C. Schelling, have won the Nobel Memorial Prize in Economics Sciences. Simply put, game-theory has the potential to reshape the analysis of human interaction |
Note: | Springer eBooks |
Contents: | Introduction, Survey and Background Material |
Stochastic Linear Pursuit | |
Evasion Game | |
Two Person Zero | |
Sum Differential Games | |
General Case | |
Formal Solutions for Some Classes of Stochastic Linear Pursuit | |
N | |
Person Noncooperative Differential Games | |
Weak Convergence in Two Player Stochastic Differential Games | |
Weak Convergence in Many Player Games | |
Some Numerical Methods | |
Applications to Finance | |
ISBN: | 9789491216473 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Atlantis Studies in Probability and Statistics, 1879-6893 : v2 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Distribution (Probability theory) , Economics, Mathematical |
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Call number: | SPRINGER-2012-9783642302930:ONLINE Show nearby items on shelf |
Title: | A Primer on Scientific Programming with Python [electronic resource] |
Author(s): |
Hans Petter Langtangen |
Date: | 2012 |
Edition: | 3rd ed. 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The book serves as a first introduction to computer programming of scientific applications, using the high-level Python language. The exposition is example- and problem-oriented, where the applications are taken from mathematics,numerical calculus, s tatistics, physics, biology, and finance. The book teaches Matlab-style and procedural programming as well as object-oriented programming. High school mathematics is a required background, and it isadvantageous to study classical and numerical one-variabl e calculus in parallel with reading this book. Besides learning how to program computers, the reader will also learn how to solve mathematical problems, arising in variousbranches of science and engineering, with the aid of numerical methods and programmi ng. By blending programming, mathematics and scientific applications, the book lays a solid foundation for practicing computational science. |
Note: | Springer eBooks |
Contents: | Preface |
Computing with Formulas | |
Loops and Lists | |
Functions and Branching | |
Input Data and Error Handling | |
Array Computing and Curve Plotting | |
Files, Strings and Dictionaries | |
Introduction to Classes | |
Random Numbers and Simple Games | |
Object | |
Oriented Programming | |
Sequences and Difference Equations | |
Introduction to Discrete Calculus | |
Introduction to Differential Equations | |
A Complete Differential Equation Project | |
Programming of Differential Equations | |
Debugging | |
Migrating Python to Compiled Code | |
Technical Topics | |
Bibliography | |
Index | |
ISBN: | 9783642302930 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Texts in Computational Science and Engineering, 1611-0994 : v6 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Software engineering , Computer science |
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Call number: | SPRINGER-2012-9781461421450:ONLINE Show nearby items on shelf |
Title: | Computational Modeling of Biological Systems [electronic resource] |
Author(s): |
Nikolay V Dokholyan |
Date: | 2012 |
Publisher: | Springer US |
Size: | 1 online resource |
Note: | Monograph |
Note: | Springer 2012 Physics and Astronomy eBook collection |
Note: | Springer e-book platform |
ISBN: | 9781461421450 |
Series: | Biological and Medical Physics, Biomedical Engineering |
Series: | e-books |
Keywords: | Biophysics and Biological Physics , Molecular Medicine , Mathematical and Computational Biology , Computational Biology/Bioinformatics |
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Call number: | SPRINGER-2012-9781461419907:ONLINE Show nearby items on shelf |
Title: | Signaling at the Cell Surface in the Circulatory and Ventilatory Systems [electronic resource] |
Author(s): |
Marc Thiriet |
Date: | 2012 |
Publisher: | Springer New York |
Size: | 1 online resource |
Note: | Monograph |
Note: | Springer 2012 Physics and Astronomy eBook collection |
Note: | Springer e-book platform |
ISBN: | 9781461419907 |
Series: | Biomathematical and Biomechanical Modeling of the Circulatory and Ventilatory Systems |
Series: | e-books |
Keywords: | Biophysics and Biological Physics , Biomedical Engineering , Mathematical and Computational Biology , Systems Biology , Engineering Fluid Dynamics , Cardiology |
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Call number: | SPRINGER-2012-9781461419662:ONLINE Show nearby items on shelf |
Title: | Probability Approximations and Beyond [electronic resource] |
Author(s): |
Andrew Barbour Hock Peng Chan David Siegmund |
Date: | 2012 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | In June 2010, a conference, Probability Approximations and Beyond, was held at the National University of Singapore (NUS), in honor of pioneering mathematician Louis Chen. Louis is perhaps best known for his elegant Poissonapproximation method, devel oped from Steins original approach to normal approximation. Another of his important contributions has been to turn Steins concentration inequality idea into an effective tool for providing error boundsfor the normal approximation in many settings, and in particular for sums of random variables exhibiting only local dependence. The conference attracted a large audience that came to pay homage to Louis, and to hear presentations bycolleagues who have worked with him in special ways over the past 40 years. The papers in this volume attest to how Louis Chens ideas have influenced and continue to influence such diverse areas as molecular biology and computerscience. He himself has developed applications of his work on Poisson approximation to problems of sign al detection in computational biology. The original papers contained in this book provide historical context for Louiss work,alongside commentary on some of his major contributions by noteworthy statisticians and mathematicians working today. The papers i n this volume attest to how Louis Chens ideas have influenced and continue to influence such diverseareas as molecular biology and computer science. He himself has developed applications of his work on Poisson approximation to problems of signal detection in computational biology. The original papers contained in this book providehistorical context for Louiss work, alongside commentary on some of his major contributions by noteworthy statisticians and mathematicians working today |
Note: | Springer eBooks |
Contents: | Couplings for Irregular Combinatorial Assemblies |
Berry | |
Esseen Inequality for Unbounded Exchangeable Pairs | |
Clubbed Binomial Approximation for the Lightbulb Process | |
Coverage of Random Discs Driven by a Posson Point Process | |
On the Optimality of Stein Factors | |
Basic Estimates of Stability Rate for One | |
dimensional Diffusions | |
Trend Analysis of Extreme Values | |
Renormalizations in White Noise Analysis | |
M | |
dependence Approximation for Dependent Random Variables | |
Variable Selection for Classification and Regression in Large p, Small n Problems | |
ISBN: | 9781461419662 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Statistics, 0930-0325 : v205 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Distribution (Probability theory) , Mathematical statistics |
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Call number: | SPRINGER-2012-9781461403289:ONLINE Show nearby items on shelf |
Title: | Control of Cell Fate in the Circulatory and Ventilatory Systems [electronic resource] |
Author(s): |
Marc Thiriet |
Date: | 2012 |
Publisher: | Springer New York |
Size: | 1 online resource |
Note: | Monograph |
Note: | Springer 2012 Physics and Astronomy eBook collection |
Note: | Springer e-book platform |
ISBN: | 9781461403289 |
Series: | Biomathematical and Biomechanical Modeling of the Circulatory and Ventilatory Systems |
Series: | e-books |
Keywords: | Biophysics and Biological Physics , Biomedical Engineering , Mathematical and Computational Biology , Systems Biology , Engineering Fluid Dynamics , Cardiology |
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Call number: | SPRINGER-2011-9783642183669:ONLINE Show nearby items on shelf |
Title: | A Primer on Scientific Programming with Python [electronic resource] |
Author(s): |
Hans Petter Langtangen |
Date: | 2011 |
Edition: | 2nd Edition |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The book serves as a first introduction to computer programming of scientific applications, using the high-level Python language. The exposition is example- and problem-oriented, where the applications are taken from mathematics,numerical calculus, s tatistics, physics, biology, and finance. The book teaches Matlab-style and procedural programming as well as object-oriented programming. High school mathematics is a required background, and it isadvantageous to study classical and numerical one-variabl e calculus in parallel with reading this book. Besides learning how to program computers, the reader will also learn how to solve mathematical problems, arising in variousbranches of science and engineering, with the aid of numerical methods and programmi ng. By blending programming, mathematics and scientific applications, the book lays a solid foundation for practicing computational science |
Note: | Springer eBooks |
Contents: | Computing with Formulas |
Loops and Lists | |
Functions and Branching | |
Input Data and Error Handling | |
Array Computing and Curve Plotting | |
Files, Strings and Dictionaries | |
Introduction to Classes | |
Random Numbers and Simple Games | |
Object | |
Oriented Programming | |
Sequences and Difference Equations | |
Introduction to Discrete Calculus | |
Introduction to Differential Equations | |
A Complete Differential Equation Project | |
Programming of Differential Equations | |
Debugging | |
TechnicalTopics | |
Bibliography | |
Index | |
ISBN: | 9783642183669 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Texts in Computational Science and Engineering, 1611-0994 : v6 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Software engineering , Computer science |
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Call number: | SPRINGER-2011-9781441976468:ONLINE Show nearby items on shelf |
Title: | An Introduction to Delay Differential Equations with Applications to the Life Sciences [electronic resource] |
Author(s): |
Hal Smith |
Date: | 2011 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book is intended to be an introduction to Delay Differential Equations for upper level undergraduates or beginning graduate mathematics students who have a good background in ordinary differential equations and would like tolearn about the appli cations. It may also be of interest to applied mathematicians, computational scientists, and engineers. It focuses on key tools necessary to understand the applications literature involving delay equations and toconstruct and analyze mathematical models. Aside from standard well-posedness results for the initial value problem, it focuses on stability of equilibria via linearization and Lyapunov functions and on Hopf bifurcation. It contains abrief introduction to abstract dynamical systems focused on thos e generated by delay equations, introducing limit sets and their properties. Differential inequalities play a significant role in applications and are treated here, alongwith an introduction to monotone systems generated by delay equations. The book conta ins some quite recent results such as the Poincare-Bendixson theory for monotone cyclic feedback systems, obtained by Mallet-Paret and Sell. Thelinear chain trick for a special family of infinite delay equations is treated. The book is distinguished by th e wealth of examples that are introduced and treated in detail. These include the delayed logistic equation, delayedchemostat model of microbial growth, inverted pendulum with delayed feedback control, a gene regulatory system, and an HIV transmission mod el. An entire chapter is devoted to the interesting dynamics exhibited by a chemostat model ofbacteriophage parasitism of bacteria. The book has a large number of exercises and illustrations. Hal Smith is a Professor at the School of Mathematical and Stat istical Sciences at Arizona State University. |
Note: | Springer eBooks |
Contents: | 1 Introduction |
The Simplest Delay Equation | |
Delayed Negative Feedback: A Warm | |
Up | |
Existence of Solutions | |
Linear Systems and Linearization | |
Semidynamical Systems and Delay Equations | |
Hopf Bifurcation | |
Distributed Delay Equations and the Linear Chain Trick | |
Phage and Bacteria in a Chemostat | |
References | |
Index | |
ISBN: | 9781441976468 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Texts in Applied Mathematics, 0939-2475 : v57 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Biology Mathematics |
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Call number: | SPRINGER-2011-9780387767314:ONLINE Show nearby items on shelf |
Title: | Combinatorial Computational Biology of RNA [electronic resource] : Pseudoknots and Neutral Networks |
Author(s): |
Christian Reidys |
Date: | 2011 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | In this monograph, new combinatorial and computational approaches in the study of RNA structures are presented which enhance both mathematics and computational biology. It begins with an introductory chapter, which motivates andsets the background of this research. In the following chapter, all the concepts are systematically developed. The reader will find * integration of more than forty research papers covering topics like, RSK-algorithm, reflectionprinciple, singularity analysis and random graph theory * systematic presentation of the theory of pseudo-knotted RNA structures including their generating function, uniform generation as well as central and discrete limit theorems *computational biology of pseudo-knotted RNA structures, including dynam ic programming paradigms and a new folding algorithm * analysis of neutral networks of pseudoknotted RNA structures and their random graph theory, including neutralpaths, giant components and connectivity All algorithms presented in the book are implement ed in C and are freely available through a link on springer.com. A proofs section at the end contains the necessary technicalities. This bookwill serve graduate students and researchers in the fields of discrete mathematics, mathematical and computational biology. It is suitable as a textbook for a graduate course in mathematical and computational biology |
Note: | Springer eBooks |
Contents: | Introduction |
Secondary Structures, Pseudoknot RNA and Beyond | |
Folding Sequences into Structures | |
Evolution of RNA Sequences | |
Methods | |
References | |
Index | |
ISBN: | 9780387767314 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computational complexity , Evolution (Biology) , Biology Mathematics , Combinatorics |
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Call number: | SPRINGER-2010-9783642156038:ONLINE Show nearby items on shelf |
Title: | The Role of Model Integration in Complex Systems Modelling [electronic resource] An Example from Cancer Biology |
Author(s): |
Manish Patel Sylvia Nagl |
Date: | 2010 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Model integration the process by which different modelling efforts can be brought together to simulate the target system is a core technology in the field of Systems Biology. In the work presented here model integrationwas addressed directly taking cancer systems as an example. An in-depth literature review was carried out to survey the model forms and types currently being utilised. This was used to formalise the main challenges that modelintegration poses, namely that of paradigm (the formalism o n which a model is based), focus (the real-world system the model represents) and scale. A two-tier model integration strategy, including a knowledge-driven approach to addressmodel semantics, was developed to tackle these challenges. In the first step a novel description of models at the level of behaviour, rather than the precise mathematical or computational basis of the model, is developed by distillinga set of abstract classes and properties. These can accurately describe model behaviour and hence de scribe focus in a way that can be integrated with behavioural descriptions of other models. In the second step this behaviour isdecomposed into an agent-based system by translating the models into local interaction rules. The book provides a detailed and highly integrated presentation of the method, encompassing both its novel theoretical and practical aspects,which will enable the reader to practically apply it to their model integration needs in academic research and professional settings. The text is s elf-supporting. It also includes an in-depth current bibliography to relevant researchpapers and literature. The review of the current state of the art in tumour modelling provides added value |
Note: | Springer eBooks |
Contents: | Part 1 Introduction |
Part 2 Nature to Numbers: Complex Systems Modelling of Cancer | |
Part 3 Coping with Complexity: Modelling of Complex Systems | |
Part 4 Complexity and Model Integration: Formalisations | |
Part 5 Novel Strategies for Integrating Models into Systems | |
level Simulations | |
Part 6 Experiments in Model Integration | |
Part 7 Discussion | |
ISBN: | 9783642156038 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Understanding Complex Systems, 1860-0832 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Engineering , Oncology , Biological models |
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Call number: | SPRINGER-2010-9781441971654:ONLINE Show nearby items on shelf |
Title: | Applied Probability [electronic resource] |
Author(s): |
Kenneth Lange |
Date: | 2010 |
Edition: | Second |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Applied Probability presents a unique blend of theory and applications, with special emphasis on mathematical modeling, computational techniques, and examples from the biological sciences. It can serve as a textbook for graduatestudents in applied ma thematics, biostatistics, computational biology, computer science, physics, and statistics. Readers should have a working knowledge of multivariate calculus, linear algebra, ordinary differential equations, andelementary probability theory. Chapter 1 revi ews elementary probability and provides a brief survey of relevant results from measure theory. Chapter 2 is an extended essay on calculating expectations. Chapter 3 deals with probabilisticapplications of convexity, inequalities, and optimization theory. Chapters 4 and 5 touch on combinatorics and combinatorial optimization. Chapters 6 through 11 present core material on stochastic processes. If supplemented withappropriate sections from Chapters 1 and 2, there is sufficient material for a traditional se mester-long course in stochastic processes covering the basics of Poisson processes, Markov chains, branching processes, martingales, anddiffusion processes. The second edition adds two new chapters on asymptotic and numerical methods and an appendix that separates some of the more delicate mathematical theory from the steady flow of examples in the main text. Besidesthe two new chapters, the second edition includes a more extensive list of exercises, many additions to the exposition of combinatorics, new material on rates of convergence to equilibrium in reversible Markov chains, a discussion ofbasic reproduction numbers in population modeling, and better coverage of Brownian motion. Because many chapters are nearly self-contained, mathematical scientist s from a variety of backgrounds will find Applied Probability useful as areference. Kenneth Lange is the Rosenfeld Professor of Computational Genetics in the Departments of Biomathematics and Human Gene |
Note: | Springer eBooks |
Contents: | Basic Notions of Probability Theory |
Calculation of Expectations | |
Convexity, Optimization, and Inequalities | |
Combinatorics | |
Combinatorial Optimization | |
Poisson Processes | |
Discrete | |
Time Markov Chains | |
Continuous | |
Time Markov Chains | |
Branching Processes | |
Martingales | |
Diffusion Processes | |
Asymptotic Methods | |
Numerical Methods | |
Poisson Approximation | |
Number Theory | |
Appendix: Mathematical Review | |
ISBN: | 9781441971654 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Texts in Statistics, 1431-875X : v0 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Computer science , Computer simulation , Biology Mathematics , Computer science Mathematics , Distribution (Probability theory) , Mathematical statistics |
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Call number: | SPRINGER-2010-9781441963512:ONLINE Show nearby items on shelf |
Title: | Molecular Modeling and Simulation: An Interdisciplinary Guide [electronic resource] : An Interdisciplinary Guide |
Author(s): |
Tamar Schlick |
Date: | 2010 |
Edition: | Second |
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: | Review of previous edition: I am often asked by physicists, mathematicians and engineers to recommend a book that would be useful to get them started in computational molecular biology. I am also often approached by mycolleagues in computational biol ogy to recommend a solid textbook for a graduate course in the area. Tamar Schlick has written the book that I will be recommending to both groups. Tamar has done an amazing job in writing a book that isboth suitably accessible for beginners, and suitably rigorous for experts. J. J. Collins, Boston University, USA. Molecular modeling is now an important branch of modern biochemistry. Schlick has brought her uniqueinterdisciplinary expertise to the subject. One of the most distinguished characteristics of the book is that it makes the reading really fun and the material accessible. a crystal clear logical presentation . Schlickhas added a unique title to the collection of mathematical biology textbooks . a valuable introduction to the field of compu tational molecular modeling. It is a unique textbook . Hong Qian, SIAM Review, 2005 |
Note: | Springer eBooks |
Contents: | Biomolecular Structure and Modeling: Historical Perspective |
Biomolecular Structure and Modeling: Problem and Application Perspective | |
Protein Structure Introduction | |
Protein Structure Hierarchy | |
Nucleic Acids Structure Minitutorial | |
Topics in Nucleic Acids Structure | |
Theoretical and Computational Approaches to Biomolecular Structure | |
Force Fields | |
Nonbonded Computations | |
Multivariate Minimization in Computational Chemistry | |
Monte Carlo Techniques | |
Molecular Dynamics: Basics | |
Molecular Dynamics: Further Topics | |
Similarity and Diversity in Chemical Design | |
Epilogue | |
ISBN: | 9781441963512 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Interdisciplinary Applied Mathematics, 0939-6047 : v21 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Biochemical engineering , Computer simulation , Biochemistry |
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Call number: | SPRINGER-2010-9781441917409:ONLINE Show nearby items on shelf |
Title: | Practical Bifurcation and Stability Analysis [electronic resource] |
Author(s): |
Rdiger Seydel |
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: | This book covers the central role that bifurcations play in nonlinear phenomena, explaining mechanisms of how stability is gained or lost. It emphasizes practical and computational methods for analyzing dynamical systems. A widerange of phenomena bet ween equilibrium and chaos is explained and illustrated by examples from science and engineering. The book is a practical guide for performing parameter studies and includes exercises. Combining an introduction onthe textbook level with an exposition of c omputational methods, this book addresses the mathematical needs of scientists and engineers. It should be of interest to those in a wide variety of disciplines, including physics, mechanicalengineering, electrical engineering, chemistry and chemical engi neering, biology, and medicine. Both graduate students (in courses on dynamical systems, stability analysis, differential equations, and chaos) and professionals will beable to use the book equally well. The introduction avoids mathematical formalism, and the only required background is calculus. In the third edition there is a chapter on applications and extensions of standard ODE approaches, forexample, to delay equations, to differential-algebraic equations, and to reaction-diffusion problems. Addition al material is inserted, including the topics deterministic risk, pattern formation, and control of chaos, and many furtherreferences. Review of Earlier Edition: The outcome is impressive. The book is beautifully written in a style that seeks not only to develop the subject matter but also to expose the thought processes behind the mathematics.Proceedings of the Edinburgh Mathematical Society |
Note: | Springer eBooks |
Contents: | Contents: Preface |
Notation | |
Introduction and Prerequisites | |
Basic Nonlinear Phenomena | |
Applications and Extensions | |
Principles of Continuation | |
Calculation of the Branching Behavior of Nonlinear Equations | |
Calculating Branching Behavior of Boundary | |
Value Problems | |
Stability of Periodic Solutions | |
Qualitative Instruments | |
Chaos | |
Appendices | |
List of Major Examples | |
References | |
Index | |
ISBN: | 9781441917409 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Interdisciplinary Applied Mathematics, 0939-6047 : v5 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Numerical analysis , Mathematical physics , Engineering mathematics |
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Call number: | SPRINGER-2010-9780387877082:ONLINE Show nearby items on shelf |
Title: | Mathematical Foundations of Neuroscience [electronic resource] |
Author(s): |
G. Bard Ermentrout David H Terman |
Date: | 2010 |
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 book applies methods from nonlinear dynamics to problems in neuroscience. It uses modern mathematical approaches to understand patterns of neuronal activity seen in experiments and models of neuronal behavior. The intendedaudience is researchers interested in applying mathematics to important problems in neuroscience, and neuroscientists who would like to understand how to create models, as well as the mathematical and computational methods foranalyzing them. The authors take a very broad approa ch and use many different methods to solve and understand complex models of neurons and circuits. They explain and combine numerical, analytical, dynamical systems and perturbationmethods to produce a modern approach to the types of model equations that a rise in neuroscience. There are extensive chapters on the role of noise, multiple time scales and spatial interactions in generating complex activity patternsfound in experiments. The early chapters require little more than basic calculus and some element ary differential equations and can form the core of a computational neuroscience course. Later chapters can be used as a basis for agraduate class and as a source for current research in mathematical neuroscience. The book contains a large number of illus trations, chapter summaries and hundreds of exercises which are motivated by issues that arise in biology, andinvolve both computation and analysis. Bard Ermentrout is Professor of Computational Biology and Professor of Mathematics at the University of Pi ttsburgh. David Terman is Professor of Mathematics at the Ohio State University |
Note: | Springer eBooks |
Contents: | The Hodgkin |
Huxley equations | |
Dendrites | |
Dynamics | |
Voltage | |
gated channels | |
Action potentials | |
Synaptic channels | |
Noise | |
Networks | |
Neuro oscillators | |
Firing rate models | |
Spatially distributed networks | |
ISBN: | 9780387877082 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Interdisciplinary Applied Mathematics, 0939-6047 : v35 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Neurosciences , Neurobiology |
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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-2009-9783642024757:ONLINE Show nearby items on shelf |
Title: | A Primer on Scientific Programming with Python [electronic resource] |
Author(s): |
Hans Petter Langtangen |
Date: | 2009 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The book serves as a first introduction to computer programming of scientific applications, using the high-level Python language. The exposition is example- and problem-oriented, where the applications are taken from mathematics,numerical calculus, s tatistics, physics, biology, and finance. The book teaches Matlab-style and procedural programming as well as object-oriented programming. High school mathematics is a required background, and it isadvantageous to study classical and numerical one-variabl e calculus in parallel with reading this book. Besides learning how to program computers, the reader will also learn how to solve mathematical problems, arising in variousbranches of science and engineering, with the aid of numerical methods and programmi ng. By blending programming, mathematics and scientific applications, the book lays a solid foundation for practicing computational science |
Note: | Springer eBooks |
ISBN: | 9783642024757 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Texts in Computational Science and Engineering, 1611-0994 : v6 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Software engineering , Computer science |
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Call number: | SPRINGER-2009-9781848009981:ONLINE Show nearby items on shelf |
Title: | Digraphs [electronic resource] : Theory, Algorithms and Applications |
Author(s): |
Jrgen Bang-Jensen Gregory Z Gutin |
Date: | 2009 |
Publisher: | London : Springer London |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The theory of directed graphs has developed enormously over recent decades, yet this book (first published in 2000) remains the only book to cover more than a small fraction of the results. New research in the field has made asecond edition a necessi ty. Substantially revised, reorganised and updated, the book now comprises eighteen chapters, carefully arranged in a straightforward and logical manner, with many new results and open problems. As well ascovering the theoretical aspects of the subject, w ith detailed proofs of many important results, the authors present a number of algorithms, and whole chapters are devoted to topics such as branchings, feedback arc and vertex sets,connectivity augmentations, sparse subdigraphs with prescribed connectivit y, and also packing, covering and decompositions of digraphs. Throughout the book, there is a strong focus on applications which include quantum mechanics,bioinformatics, embedded computing, and the travelling salesman problem. Detailed indices and topic- oriented chapters ease navigation, and more than 650 exercises, 170 figures and 150 open problems are included to help immerse thereader in all aspects of the subject. Digraphs is an essential, comprehensive reference for undergraduate and graduate studen ts, and researchers in mathematics, operations research and computer science. It will also prove invaluable tospecialists in related areas, such as meteorology, physics and computational biology. Jrgen Bang-Jensen is a Professor in the Department of Mathe matics and Computer Science at the University of Southern Denmark, Odense, Denmark.Gregory Gutin is Professor of Computer Science at Royal Holloway College, University of London, UK |
Note: | Springer eBooks |
Contents: | Basic Terminology, Notation and Results |
Classes of Digraphs | |
Distances | |
Flows in Networks | |
Connectivity of Digraphs | |
Hamiltonian, Longest and Vertex | |
Cheapest Paths and Cycles | |
Restricted Hamiltonian Paths and Cycles | |
Paths and Cycles of Prescribed Lengths | |
Branchings | |
Linkages in Digraphs | |
Orientations of Graphs and Digraphs | |
Sparse Subdigraphs with Prescribed Connectivity | |
Packings, Coverings and Decompositions | |
Increasing Connectivity | |
Feedback Sets and Vertex Orderings | |
Generalizations of Digraphs: Edge | |
Coloured Multigraphs | |
Applications of Digraphs and Edge | |
ISBN: | 9781848009981 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Monographs in Mathematics, 1439-7382 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer software , Algorithms , Combinatorics , Mathematical optimization |
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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-2009-9780387981857:ONLINE Show nearby items on shelf |
Title: | Functional Data Analysis with R and MATLAB [electronic resource] |
Author(s): |
James Ramsay Giles Hooker Spencer Graves |
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: | Scientists often collect samples of curves and other functional observations, and develop models where parameters are also functions. This volume in the UseR! Series is aimed at a wide range of readers, and especially those whowould like apply these techniques to their research problems. It complements Functional Data Analysis, Second Edition and Applied Functional Data Analysis: Methods and Case Studies by providing computer code in both the R and Matlablanguages for a set of data analyses that show case functional data analysis techniques. The authors make it easy to get up and running in new applications by adapting the code for the examples, and by being able to access the detailsof key functions within these pages. This book is accompanied by add itional web-based support at http://www.functionaldata.org for applying existing functions and developing new ones in either language. The companion 'fda' package forR includes script files to reproduce nearly all the examples in the book including all bu t one of the 76 figures. Jim Ramsay is Professor Emeritus at McGill University and is an international authority on many aspects of multivariateanalysis. He was President of the Statistical Society of Canada in 2002-3 and holds the Societys Gold Medal for his work in functional data analysis. His statistical work draws on his collaboration with researchers in biomechanics,chemical engineering, climatology, ecology, economics, human biology, medicine and psychology. Giles Hooker is Assistant Professor of B iological Statistics and Computational Biology at Cornell University. His research interests includestatistical inference in nonlinear dynamics, machine learning and computational statistics. Spencer Graves is an engineer with a PhD in Statistics and over 15 years experience using S-Plus and R to analyze data in a broad range ofapplications. He has made substantive contributions to several CRAN packages including fda and DierckxSpline. |
Note: | Springer eBooks |
Contents: | Introduction to functional data analysis |
Essential comparisons of the Matlab and R languages | |
How to specify basis systems for building functions | |
How to build functional data objects | |
Smoothing: Computing curves from noisy data | |
Descriptions of functional data | |
Exploring variation: Functional principal and canonical components analysis | |
Registration: Aligning features for samples of curves | |
Functional linear models for scalar responses | |
Linear models for functional responses | |
Functional models and dynamics | |
ISBN: | 9780387981857 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Use R |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Data mining , Statistical methods , Mathematical statistics , Marketing , Psychometrics |
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Call number: | SPRINGER-2008-9783540783626:ONLINE Show nearby items on shelf |
Title: | Multiscale Problems in the Life Sciences [electronic resource] : From Microscopic to Macroscopic |
Author(s): |
Jacek Banasiak Mark A. J Chaplain Jacek Mikisz Vincenzo Capasso Mirosaw Lachowicz |
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 aim of this volume that presents Lectures given at a joint CIME and Banach Center Summer School, is to offer a broad presentation of a class of updated methods providing a mathematical framework for the development of ahierarchy of models of comp lex systems in the natural sciences, with a special attention to Biology and Medicine. Mastering complexity implies sharing different tools requiring much higher level of communication between differentmathematical and scientific schools, for solving clas ses of problems of the same nature. Today more than ever, one of the most important challenges derives from the need to bridge parts of a system evolving at different time and spacescales, especially with respect to computational affordability. As a resul t the content has a rather general character the main role is played by stochastic processes, positive semigroups, asymptotic analysis, kinetic theory,continuum theory and game theory |
Note: | Springer eBooks |
Contents: | Preface by Vincenzo Capasso and Miroslaw Lachowicz |
Jacek Banasiak: Positivity in Natural Sciences | |
Vincenzo Capasso and Daniela Morale Rescaling Stochastic Processes: Asymptotics | |
Mark A.J. Chaplain: Modelling Aspects of Cancer Growth: Insight from Mathematical and Numerical Analysis and Computational Simulation | |
Miroslaw Lachowicz: Links Between Microscopic and Macroscopic Descriptions | |
Jacek Miekisz: Evolutionary Game Theory and Population Dynamics | |
ISBN: | 9783540783626 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, 0075-8434 : v1940 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Operator theory , Differential equations, partial , Distribution (Probability theory) |
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Call number: | SPRINGER-2008-9783540767848:ONLINE Show nearby items on shelf |
Title: | Mathematical Modelling of Biosystems [electronic resource] |
Author(s): |
Rubem P Mondaini Panos M Pardalos |
Date: | 2008 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This volume is an interdisciplinary book, which introduces, in a very readable way, state of the art research in the fundamental topics of mathematical modelling of Biosystems. These topics include: the study of Biological Growthand its mechanisms, t he coupling of pattern to form via theorems of Differential Geometry, the human immunodeficiency virus dynamics, the inverse folding problem and the possibility of analysing true protein backbone flexibility, theBiclustering techniques for the organizatio n of microarray data, the analytical approach to the modelling of biomolecular structure via Steiner trees, the action of biocides on resistance mechanisms of mutated and phenotypic bacteriastrains, a description of the fundamental processes for the distr ibution and abundances of species towards a unified theory of Ecology, and a special introduction to Protein Physics aiming to explain the all-or-none first order phasetransitions from native to denatured states |
Note: | Springer eBooks |
Contents: | Elastic Growth Models |
A Model of Pattern Coupled to Form in Metazoans | |
Mathematical Modelling HIV | |
I Infection and Drug Therapy | |
Overcoming the Key Challenges in De Novo Protein Design: Enhancing Computational Efficiency and Incorporating True Backbone Flexibility | |
An Improves Heuristic for Consistent Biclustering Problems | |
The Steiner Tree Problem and Its Application to the Modelling of Biomolecular Structures | |
Phenotypic Switching and Mutation in the Presence of a Biocide: No Replication of Phenotypic Variant | |
From Spatial Pattern in the Distribution and Abundance of Species to | |
ISBN: | 9783540767848 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied Optimization, 1384-6485 : v102 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Life sciences , Cytology Research_xMethodology , Biology Mathematics |
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Call number: | SPRINGER-2008-9783540693956:ONLINE Show nearby items on shelf |
Title: | Handbook of Large-Scale Random Networks [electronic resource] |
Author(s): |
Bla Bollobs Robert Kozma Dezs Mikls |
Date: | 2008 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This handbook describes advances in large scale network studies that have taken place in the past 5 years since the publication of the Handbook of Graphs and Networks in 2003. It covers all aspects of large-scale networks,including mathematical found ations and rigorous results of random graph theory, modeling and computational aspects of large-scale networks, as well as areas in physics, biology, neuroscience, sociology and technical areas. Applicationsrange from microscopic to mesoscopic and macrosc opic models. The book is based on the material of the NSF workshop on Large-scale Random Graphs held in Budapest in 2006, at the Alfrd Rnyi Institute of Mathematics, organized jointlywith the University of Memphis |
Note: | Springer eBooks |
ISBN: | 9783540693956 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Bolyai Society Mathematical Studies, 1217-4696 : v18 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Computational complexity , Computer simulation , Combinatorics |
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Call number: | SPRINGER-2008-9780387790541:ONLINE Show nearby items on shelf |
Title: | Introductory Statistics with R [electronic resource] |
Author(s): |
Peter Dalgaard |
Date: | 2008 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | R is an Open Source implementation of the S language. It works on multiple computing platforms and can be freely downloaded. R is now in widespread use for teaching at many levels as well as for practical data analysis andmethodological development. This book provides an elementary-level introduction to R, targeting both non-statistician scientists in various fields and students of statistics. The main mode of presentation is via code examples withliberal commenting of the code and the output, from t he computational as well as the statistical viewpoint. A supplementary R package can be downloaded and contains the data sets. The statistical methodology includes statisticalstandard distributions, one- and two-sample tests with continuous data, regressi on analysis, one- and two-way analysis of variance, regression analysis, analysis of tabular data, and sample size calculations. In addition, the last sixchapters contain introductions to multiple linear regression analysis, linear models in general, logi stic regression, survival analysis, Poisson regression, and nonlinear regression. In the second edition, the text and code have beenupdated to R version 2.6.2. The last two methodological chapters are new, as is a chapter on advanced data handling. The in troductory chapter has been extended and reorganized as two chapters. Exercises have been revised and answersare now provided in an Appendix. Peter Dalgaard is associate professor at the Department of Biostatistics at the University of Copenhagen and has extensive experience in teaching within the PhD curriculum at the Faculty of HealthSciences. He has been a member of the R Core Team since 1997 |
Note: | Springer eBooks |
ISBN: | 9780387790541 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Statistics and Computing, 1431-8784 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Bioinformatics , Biology Data processing , Mathematical statistics |
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Call number: | SPRINGER-2008-9780387759692:ONLINE Show nearby items on shelf |
Title: | Lattice [electronic resource] : Multivariate Data Visualization with R |
Author(s): |
Deepayan Sarkar |
Date: | 2008 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | R is rapidly growing in popularity as the environment of choice for data analysis and graphics both in academia and industry. Lattice brings the proven design of Trellis graphics (originally developed for S by William S.Cleveland and colleagues at Be ll Labs) to R, considerably expanding its capabilities in the process. Lattice is a powerful and elegant high level data visualization system that is sufficient for most everyday graphics needs, yetflexible enough to be easily extended to handle demands o f cutting edge research. Written by the author of the lattice system, this book describes it in considerable depth, beginning with the essentials and systematically delving intospecific low levels details as necessary. No prior experience with lattice is required to read the book, although basic familiarity with R is assumed. The book contains close to150 figures produced with lattice. Many of the examplesemphasize principles of good graphical design almost all use real data sets that are publicly availab le in various R packages. All code and figures in the book are also available online, along with supplementary material covering moreadvanced topics. Deepayan Sarkar won the 2004 John M. Chambers Statistical Software Award for writing lattice while he was a graduate student in Statistics at the University of Wisconsin-Madison. He is currently doing postdoctoralresearch in the Computational Biology program at the Fred Hutchinson Cancer Research Center, a member of the R Core Team, and an active participant on the R mailing lists |
Note: | Springer eBooks |
Contents: | Introduction |
The anatomy of a Trellis display | |
Visualizing univariate distributions | |
Displaing multiway tables | |
Scatter plots and extensions | |
Trivariate displays | |
Specialized displays | |
Scales | |
Annotation | |
Devices, themes and other options | |
Conditioning | |
Manipulating the Trellis object | |
Augmenting Trellis displays | |
Writing panel functions | |
Creating new Trellis displays | |
A few tips and tricks | |
ISBN: | 9780387759692 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Use R! |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Computer graphics , Visualization , Mathematical statistics |
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Call number: | SPRINGER-2008-9780387758398:ONLINE Show nearby items on shelf |
Title: | Simulation and Inference for Stochastic Differential Equations [electronic resource] : With R Examples |
Author(s): |
Stefano M Iacus |
Date: | 2008 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book is unique because of its focus on the practical implementation of the simulation and estimation methods presented. The book will be useful to practitioners and students with only a minimal mathematical backgroundbecause of the many R progra ms, and to more mathematically-educated practitioners. Many of the methods presented in the book have not been used much in practice because the lack of an implementation in a unified framework. This bookfills the gap. With the R code included in this boo k, a lot of useful methods become easy to use for practitioners and students. An R package called sde provides functions with easy interfaces ready to be used on empirical datafrom real life applications. Although it contains a wide range of results, the book has an introductory character and necessarily does not cover the whole spectrum of simulation and inference for general stochastic differentialequations. The book is organized into four chapters. The first one introduces the subject and presents seve ral classes of processes used in many fields of mathematics, computational biology, finance and the social sciences. The secondchapter is devoted to simulation schemes and covers new methods not available in other publications. The third one focuses on pa rametric estimation techniques. In particular, it includes exact likelihood inference, approximated andpseudo-likelihood methods, estimating functions, generalized method of moments, and other techniques. The last chapter contains miscellaneous topics lik e nonparametric estimation, model identification and change point estimation. Thereader who is not an expert in the R language will find a concise introduction to this environment focused on the subject of the book. A documentation page is available at th e end of the book for each R function presented in the book.Stefano M. Iacus is associate professor of Probability and Mathematical Statistics at the University of Milan, Department of Economics, Busi |
Note: | Springer eBooks |
Contents: | Stochastic processes and stochastic differential equations |
Numerical methods for SDE | |
Parametric estimation | |
Miscellaneous topics | |
ISBN: | 9780387758398 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Series in Statistics, 0172-7397 : v1 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Computer simulation , Finance , Computer science Mathematics , Mathematical statistics , Econometrics |
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Call number: | SPRINGER-2008-9780387749327:ONLINE Show nearby items on shelf |
Title: | Feasibility and Infeasibility in Optimization [electronic resource] : Algorithms and Computational Methods |
Author(s): |
John W Chinneck |
Date: | 2008 |
Publisher: | Boston, MA : Springer US |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Constrained optimization models are core tools in business, science, government, and the military with applications including airline scheduling, control of petroleum refining operations, investment decisions, and many others.Constrained optimization models have grown immensely in scale and complexity in recent years as inexpensive computing power has become widely available. Models now frequently have many complicated interacting constraints, giving riseto a host of issues related to feasibility and infeasibility. For example, it is sometimes difficult to find any feasible point at all for a large model, or even to accurately determine if one exists, e.g. for nonlinear models. If themodel is feasible, how quickly can a solution be found? If the mode l is infeasible, how can the cause be isolated and diagnosed? Can a repair to restore feasibility be carried out automatically? Researchers have developed numerousalgorithms and computational methods in recent years to address such issues, with a number o f surprising spin-off applications in fields such as artificial intelligence and computational biology. Over the same time period, relatedapproaches and techniques relating to feasibility and infeasibility of constrained problems have arisen in the constr aint programming community. Feasibility and Infeasibility in Optimization is a timely expository book that summarizesthe state of the art in both classical and recent algorithms related to feasibility and infeasibility in optimization, with a focus on pra ctical methods. All model forms are covered, including linear, nonlinear, and mixed-integerprograms. Connections to related work in constraint programming are shown. Part I of the book addresses algorithms for seeking feasibility quickly, including new me thods for the difficult cases of nonlinear and mixed-integer programs.Part II provides algorithms for analyzing infeasibility by isolating minimal infeasible (or maximum feasible) subsets of constraints |
Note: | Springer eBooks |
Contents: | Seeking Feasibility |
Preliminaries | |
Seeking Feasibility in Linear Programs | |
Seeking Feasibility in Mixed | |
Integer Linear Programs | |
A Brief Tour of Constraint Programming | |
Seeking Feasibility in Nonlinear Programs | |
Analyzing Infeasibility | |
Isolating Infeasibility | |
Finding the Maximum Feasible Subset of Linear Constraints | |
Altering Constraints to Achieve Feasibility | |
Applications | |
Other Model Analyses | |
Data Analysis | |
Miscellaneous Applications | |
Epilogue | |
ISBN: | 9780387749327 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | International Series in Operations Research and Management Science, 0884-8289 : v118 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Mathematical optimization , Industrial engineering , Engineering economy , Econometrics |
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