Introduction to Mathematical Biology
Modeling, Analysis, and Simulations
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Beschreibung
This book is based on a one semester course that the authors have been teaching for several years, and includes two sets of case studies. The first includes chemostat models, predator-prey interaction, competition among species, the spread of infectious diseases, and oscillations arising from bifurcations. In developing these topics, readers will also be introduced to the basic theory of ordinary differential equations, and how to work with MATLAB without having any prior programming experience.
The second set of case studies were adapted from recent and current research papers to the level of the students. Topics have been selected based on public health interest. This includes the risk of atherosclerosis associated with high cholesterol levels, cancer and immune interactions, cancer therapy, and tuberculosis. Readers will experience how mathematical models and their numerical simulations can provide explanations that guide biological and biomedical research.
Considered to be the undergraduate companion to the more advanced book "Mathematical Modeling of Biological Processes" (A. Friedman, C.-Y. Kao, Springer – 2014), this book is geared towards undergraduate students with little background in mathematics and no biological background.
This book is based on a one semester course that the authors have been teaching for several years, and includes two sets of case studies. The first includes chemostat models, predator-prey interaction, competition among species, the spread of infectious diseases, and oscillations arising from bifurcations. In developing these topics, readers will also be introduced to the basic theory of ordinary differential equations, and how to work with MATLAB without having any prior programming experience.
The second set of case studies were adapted from recent and current research papers to the level of the students. Topics have been selected based on public health interest. This includes the risk of atherosclerosis associated with high cholesterol levels, cancer and immune interactions, cancer therapy, and tuberculosis. Readers will experience how mathematical models and their numerical simulations can provide explanations that guide biological andbiomedical research.
Considered to be the undergraduate companion to the more advanced book "Mathematical Modeling of Biological Processes" (A. Friedman, C.-Y. Kao, Springer – 2014), this book is geared towards undergraduate students with little background in mathematics and no biological background.
Includes reviews of basic ordinary differential equations and modeling techniques Addresses MATLAB programming for students without programming experience Includes health topics of great public interest Section of solutions included at the end of the book Provides readers with background in numerical analysis and how they are applied in simulations of models Includes supplementary material: sn.pub/extras
Autor*in
Ching Shan Chou
Themen in »Introduction to Mathematical Biology«
Bifurcation Theory Linear Differential Equations Mathematical Biology Mathematical Modeling Numerical Simulations Predator-prey Spread of Disease systems biology
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“The book under review is an interesting addition to the list of mathematical biology texts and is designed for students, in both mathematics and biology, who have completed a semester or two of calculus. … The biological applications are well chosen and indicate how differential equations are used in biological research. Overall, this is a nice textbook for a first introduction to mathematical biology.” (Jason M. Graham, Mathematical Reviews, November, 2016)
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