Mathematical Modeling of Biological Processes

Avner Friedman, Chiu-Yen Kao

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English

Springer International Publishing AG
08 October 2014

Maths for scientists; Biophysics

Series: Lecture Notes on Mathematical Modelling in the Life Sciences

This book on mathematical modeling of biological processes includes a wide selection of biological topics that demonstrate the power of mathematics and computational codes in setting up biological processes with a rigorous and predictive framework. Topics include: enzyme dynamics, spread of disease, harvesting bacteria, competition among live species, neuronal oscillations, transport of neurofilaments in axon, cancer and cancer therapy, and granulomas. Complete with a description of the biological background and biological question that requires the use of mathematics, this book is developed for graduate students and advanced undergraduate students with only basic knowledge of ordinary differential equations and partial differential equations; background in biology is not required. Students will gain knowledge on how to program with MATLAB without previous programming experience and how to use codes in order to test biological hypothesis.

By: Avner Friedman, Chiu-Yen Kao
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: 2014 ed.
Dimensions: Height: 235mm, Width: 155mm, Spine: 9mm
Weight: 2.817kg
ISBN: 9783319083131
ISBN 10: 3319083139
Series: Lecture Notes on Mathematical Modelling in the Life Sciences
Pages: 154
Publication Date: 08 October 2014
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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.

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.

Reviews for Mathematical Modeling of Biological Processes

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)