Dynamic Models and Control of Biological Systems

  • Vadrevu Sree Hari Rao
  • Ponnada Raja Sekhara Rao

Table of contents

  1. Front Matter
    Pages 1-11
  2. Vadrevu Sree Hari Rao, Ponnada Raja Sekhara Rao
    Pages 1-25
  3. Vadrevu Sree Hari Rao, Ponnada Raja Sekhara Rao
    Pages 27-92
  4. Vadrevu Sree Hari Rao, Ponnada Raja Sekhara Rao
    Pages 93-115
  5. Vadrevu Sree Hari Rao, Ponnada Raja Sekhara Rao
    Pages 117-173
  6. Vadrevu Sree Hari Rao, Ponnada Raja Sekhara Rao
    Pages 175-188
  7. Vadrevu Sree Hari Rao, Ponnada Raja Sekhara Rao
    Pages 189-205
  8. Vadrevu Sree Hari Rao, Ponnada Raja Sekhara Rao
    Pages 207-226
  9. Vadrevu Sree Hari Rao, Ponnada Raja Sekhara Rao
    Pages 227-247
  10. Back Matter
    Pages 1-24

About this book

Introduction

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.

Keywords

biology lake mathematical biology mathematical modeling newjc optimization

Authors and affiliations

  • Vadrevu Sree Hari Rao
    • 1
  • Ponnada Raja Sekhara Rao
    • 2
  1. 1.Science & TechnologyMissouri University ofRollaU.S.A.
  2. 2.Technological UniversityJawaharlal NehruHyderabadIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-0359-4
  • Copyright Information Springer-Verlag New York 2009
  • Publisher Name Springer, New York, NY
  • eBook Packages Biomedical and Life Sciences
  • Print ISBN 978-1-4419-0358-7
  • Online ISBN 978-1-4419-0359-4
  • About this book