Mathematical Models of Biological Systems

• Discusses how to develop, solve, and interpret mathematical models, starting from first principles and working through increasingly complex case studies
• Incorporates a range of biologically relevant examples from fields as diverse as ecology, epidemiology, and physiology
• Emphasizes the crucial importance of care and accuracy in dealing with parameters such as dimensional analysis, measurement scales, and mathematical quantities
• Based on a proven course structure

Readership: This accessible textbook is suitable for senior undergraduates, graduate students, and professional researchers in the life sciences (biology, medicine, biochemistry) as well as the applied mathematical sciences (mathematics, statistics, physics, engineering, and computer sciences).

Hugo van den Berg, Warwick Systems Biology Centre, University of Warwick, UK

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

Link to ERRATA