Dynamic Models and Control of Biological Systems
Authors: Rao, Vadrevu Sree Hari, Rao, Ponnada Raja Sekhara
Free Preview- Includes a comprehensive chapter on the building of mathematical models from basic principles
- Provides a clear overview of the recent literature and basic dynamical models
- Presents detailed examples and simulations illustrating each new concept
- Provides an in-depth discussion of control mechanisms
- New procedures introduced for the analysis of mathematical models
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- About this book
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Mathematical modeling in the biological sciences is growing exponentially because the general area provides exciting problems from biology to medicine, and this goes under the name mathematical biology. Moreover, models of the growth of microorganisms have become very popular since mathematical predictions can be tested in the laboratory employing a device known as the chemostat. Such models are called chemostat models. This book attempts to present a self contained account of mathematical model building theory of microbial populations.
Key Features:
Covers all fundamental concepts and mathematical skills needed to build models for microbial populations.
Provides an accessible and informative over view of known literature including several practical techniques.
Presents a comprehensive analysis of chemostat models and their limitations in adapting to natural lakes.
A thorough discussion on the design of biologically viable control mechanisms (termed bio-control mechanisms) to contain the instability tendencies.
Construction of a variety of Lyapunov functionals for global stability analysis.
This book is ideal for a general scientific and engineering audience requiring an in-depth exposure to current ideas, methods and models. The topics discussed can serve as a one to two semester course material for senior under graduate and graduate students. It is a useful reference for practitioners, researchers, and professionals in applied mathematics, biology, agriculture, limnology, chemical and civil engineering.
- Reviews
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From the reviews:
“The main aim of ‘this monograph is to present an essentially self-contained account of the theory of mathematical model building of microbial populations’, and the authors succeeded in accomplishing this from every angle. … Another interesting aspect of this book is the section titled ‘Notes and Remarks’ at the end of each chapter to provide the reader additional material for further study and investigation. … the book is a welcome addition to this growing and interesting field of convergence of life sciences, mathematics and engineering.” (D. Subbaram Naidu, Amazon.com, December, 2013)
“The book is well organized and carefully written. … ‘the first and foremost aim of the authors is to encourage others to consider and apply the results and the tools discussed in this book’, detailed step-by-step explanations of the main techniques are given, along with a selection of appropriate examples. … The book should be of interest to graduate students and researchers working on differential equations and their applications; it can also be used for teaching advanced undergraduate and graduate courses.” (Yuri V. Rogovchenko, Mathematical Reviews, Issue 2012 a)
- Table of contents (8 chapters)
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Basic Models
Pages 1-25
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Chemostat Versus the Lake
Pages 27-92
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Instability Tendencies
Pages 93-115
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Self-Regulation
Pages 117-173
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Wall Growth
Pages 175-188
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Table of contents (8 chapters)
- Download Preface 1 PDF (82 KB)
- Download Sample pages 1 PDF (603.6 KB)
- Download Table of contents PDF (65.7 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Dynamic Models and Control of Biological Systems
- Authors
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- Vadrevu Sree Hari Rao
- Ponnada Raja Sekhara Rao
- Copyright
- 2009
- Publisher
- Springer-Verlag New York
- Copyright Holder
- Springer-Verlag New York
- eBook ISBN
- 978-1-4419-0359-4
- DOI
- 10.1007/978-1-4419-0359-4
- Hardcover ISBN
- 978-1-4419-0358-7
- Softcover ISBN
- 978-1-4899-8498-2
- Edition Number
- 1
- Number of Pages
- XIII, 275
- Topics
