Mathematical Modeling of Biological Processes

✍ Scribed by Avner Friedman, Chiu-Yen Kao (auth.)

• Publisher: Springer International Publishing
• Year: 2014
• Tongue: English
• Leaves: 152
• Series: Lecture Notes on Mathematical Modelling in the Life Sciences
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-vi
Introduction....Pages 1-2
Chemical Kinetics and Enzyme Dynamics....Pages 3-17
Ordinary Differential Equations....Pages 19-31
Epidemiology of Infectious Diseases....Pages 33-47
Chemostats and Competition Among Species....Pages 49-59
Bifurcation Theory....Pages 61-71
Neuronal Oscillations....Pages 73-80
Conservation Laws....Pages 81-92
Neurofilaments Transport in Axon....Pages 93-101
Diffusion and Chemotaxis....Pages 103-118
Cancer....Pages 119-125
Cancer Therapy....Pages 127-138
Granulomas....Pages 139-145
Back Matter....Pages 147-154

✦ Subjects

Mathematical and Computational Biology; Mathematical and Computational Biology; Biophysics and Biological Physics