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Mathematical modeling of biological processes. (English) Zbl 1302.92004

Lecture Notes on Mathematical Modelling in the Life Sciences. Cham: Springer (ISBN 978-3-319-08313-1/pbk; 978-3-319-08314-8/ebook). vi, 154 p. (2014).
The aim of this book is “to demonstrate to the students the power of mathematics and computational codes in setting up biological processes within a rigorous and predictive framework”. The author selects some biological topics, which are relevant to ordinary and partial differential equations.
These topics are: enzyme dynamics, spread of disease, harvesting bacteria, competition among live species, neuronal oscillations, and transport of neurofilaments in axon, cancer and its therapy, granulomas.
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.

MSC:

92-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to biology
92B05 General biology and biomathematics
92C40 Biochemistry, molecular biology
92C45 Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.)
92C50 Medical applications (general)

Software:

Matlab
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