Mathematical Models of Biological Systems

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.

• 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