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Introduction to Mathematical Biology : Modeling, Analysis, and Simulations / by Ching Shan Chou, Avner Friedman.
Springer Nature - Springer Mathematics and Statistics eBooks 2016 English International Available online
View online- Format:
- Book
- Author/Creator:
- Chou, Ching Shan., Author.
- Friedman, Avner., Author.
- Series:
- Springer Undergraduate Texts in Mathematics and Technology, 1867-5506
- Language:
- English
- Subjects (All):
- Biomathematics.
- Mathematical physics.
- Systems biology.
- Biological systems.
- Mathematical and Computational Biology.
- Mathematical Applications in the Physical Sciences.
- Systems Biology.
- Local Subjects:
- Mathematical and Computational Biology.
- Mathematical Applications in the Physical Sciences.
- Systems Biology.
- Physical Description:
- 1 online resource (VII, 172 p. 49 illus., 38 illus. in color.)
- Edition:
- 1st ed. 2016.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2016.
- Language Note:
- English
- 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.
- Contents:
- 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.
- Notes:
- Bibliographic Level Mode of Issuance: Monograph
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 3-319-29638-8
- OCLC:
- 1066180539
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