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Introduction to mathematical biology [electronic resource] : modeling, analysis, and simulations / Ching Shan Chou, Avner Friedman.

Chou, Ching Shan, author.; Friedman, Avner, author.
2016
QH323.5
Available Online
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Title
Introduction to mathematical biology [electronic resource] : modeling, analysis, and simulations / Ching Shan Chou, Avner Friedman.
Author
Chou, Ching Shan, author.
ISBN
9783319296388 (electronic book)
3319296388 (electronic book)
9783319296364
DOI
https://doi.org/10.1007/978-3-319-29638-8
Published
Switzerland : Springer, 2016.
Language
English
Description
1 online resource (vii, 172 pages) : illustrations.
Item Number
10.1007/978-3-319-29638-8 doi
Call Number
QH323.5
Dewey Decimal Classification
570.1/51
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed May 5, 2016).
Added Author
Friedman, Avner, author.
Series
Springer undergraduate texts in mathematics and technology.
Available in Other Form
Print version: 9783319296364
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Introduction
Bacterial Growth in Chemostat
System of Two Linear Differential Equations
System of Two Differential Equations
Predator-Prey Models
Two Competing Populations
General Systems of Differential Equations
The Chemostat Model Revisited
Spread of Disease
Enzyme Dynamics
Bifurcation Theory
Atherosclerosis: The Risk of High Cholesterol
Cancer-Immune Interaction. Cancer Therapy
Tuberculosis
Solutions.

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