Mathematical Modeling of Biological Processes

Anver Friedman is a Distinguished University Professor. He received his PH.D. degree in 1956 from the Hebrew University. His research interests include partial differential equations, both general mathematical theory as well as applications to models that arise in the physical and life sciences, in engineering, and in industry. Chiu-Yen Kao is an Associate Professor at Claremont McKenna College. Her area of expertise is in applied mathematics.

"This is a course book on several topics from mathematical biology. ... The book provides a short introduction to ordinary differential equations, partial differential equations, bifurcation theory and numerical methods for dynamical systems. ... The book is a valuable support for teaching mathematical modeling in life sciences to students with basic knowledge of ordinary differential equations and partial differential equations." (Maria Vittoria Barbarossa, Acta Scientiarum Mathematicarum, Vol. 81 (3-4), 2015) "Each section begins with a biological background and ends by a numerical implement of an according mathematical model. The student can freely use these tools for simulations. With this book, the student also will learn the basics of mathematical modeling with Matlab. The book can be used either for a semester course or as a basis for a one-year course." (Fatima T. Adylova, zbMATH, Vol. 1302, 2015)

• Introduction.- Chemical Kinetics and Enzyme Dynamics.- Ordinary Differential Equations.- Epidemiology of Infectious Diseases.- Chemostats and Competition Among Species.- Bifurcation Theory.- Neuronal Oscillations.- Conservation Laws.- Neurofilaments Transport in Axon.- Diffusion and Chemotaxis.- Cancer.- Cancer Therapy.- Granulomas.- Bibliography.- Answers to Problems.