Mathematical Models of Biological Systems

Paperback | December 18, 2010

byHugo van den Berg

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Mathematical Models of Biological Systems provides a practical introduction to basic mathematical modelling methodology and analysis. It covers a variety of biological applications and uses these topics in turn to highlight key components in the art of modelling. Its primary aim is to givestudents the tools to translate simple, real-world biological problems into rigorous mathematical models. A secondary aim is to teach the reader how to critically assess the modelling components in the primary life science literature. The book covers deterministic as well as stochastic dynamics, continuous-time as well as discrete-time dynamics, partial differential equations, dimensional analysis, and curve fitting/parameter estimation. It contains numerous case studies, graded from elementary examples to more complicatedproblems, as well as a general treatment of good modelling practice. Although the book assumes a basic background in mathematics, specifically beginning calculus and elementary statistics, all requisite material is included in a series of appendices.

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Mathematical Models of Biological Systems provides a practical introduction to basic mathematical modelling methodology and analysis. It covers a variety of biological applications and uses these topics in turn to highlight key components in the art of modelling. Its primary aim is to givestudents the tools to translate simple, real-wo...

Hugo van den Berg obtained an MSc in neurophysiology and molecular endocrinology from the Free University of Amsterdam and a PhD in theoretical ecology from the same university. He became a Research Fellow and later a lecturer in Mathematical Biology at the University of Warwick. His chief research interests are specificity of immune ...

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Kobo ebook|Jul 28 2015

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Format:PaperbackDimensions:256 pages, 9.69 × 7.44 × 0.07 inPublished:December 18, 2010Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199582181

ISBN - 13:9780199582181

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Table of Contents

Preface1. What models can do for the life sciences2. Basic modelling concepts and techniques3. Working with Ordinary Differential Equations4. Models and data analysis5. Modelling principles6. Growth of populations and of individuals7. Infection and immunity8. Physiology9. Stochastic modelsAppendix A: Maths miscellanyAppendix B: From Boltzmann to NernstAppendix C: Ultimate behaviour of a closed, connected, compartmental systemAppendix D: Buckingham's theoremAppendix E: Minimising the sum of squares with respect to the parametersAppendix F: Global sensitivity analysis: parameter transformations for 'large' systemsIndex