Mathematical Models of Biological Systems

Author:   Hugo van den Berg (Warwick Systems Biology Centre, University of Warwick, UK)
Publisher:   Oxford University Press
ISBN:  

9780199582198


Pages:   256
Publication Date:   25 November 2010
Format:   Hardback
Availability:   To order   Availability explained
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Mathematical Models of Biological Systems


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Overview

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 give students 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 complicated problems, 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.

Full Product Details

Author:   Hugo van den Berg (Warwick Systems Biology Centre, University of Warwick, UK)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Dimensions:   Width: 19.80cm , Height: 1.90cm , Length: 25.30cm
Weight:   0.738kg
ISBN:  

9780199582198


ISBN 10:   019958219
Pages:   256
Publication Date:   25 November 2010
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Hardback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

Preface 1: What models can do for the life sciences 2: Basic modelling concepts and techniques 3: Working with Ordinary Differential Equations 4: Models and data analysis 5: Modelling principles 6: Growth of populations and of individuals 7: Infection and immunity 8: Physiology 9: Stochastic models Appendix A: Maths miscellany Appendix B: From Boltzmann to Nernst Appendix C: Ultimate behaviour of a closed, connected, compartmental system Appendix D: Buckingham's theorem Appendix E: Minimising the sum of squares with respect to the parameters Appendix F: Global sensitivity analysis: parameter transformations for 'large' systems Index

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Mathematical Models of Biological Systems was featured in The Quarterly Review of Biology.


Author Information

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 recognition, nutrient fluxes, energy balance in individuals and ecosystems, regulation of contractions in childbirth, and receptor signalling.

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