Dynamic Models and Control of Biological Systems [electronic resource] / by Vadrevu Sree Hari Rao, Ponnada Raja Sekhara Rao.

Rao, Vadrevu Sree Hari.
Call Number
570
Author
Rao, Vadrevu Sree Hari. author.
Title
Dynamic Models and Control of Biological Systems by Vadrevu Sree Hari Rao, Ponnada Raja Sekhara Rao.
Physical Description
XIII, 275 p. online resource.
Contents
Basic Models -- Chemostat Versus the Lake -- Instability Tendencies -- Self-Regulation -- Wall Growth -- Zones of No Activation -- Influence of the Control Mechanisms -- Parameter Estimation Using Dynamic Optimization.
Summary
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.
Added Author
Rao, Ponnada Raja Sekhara. author.
SpringerLink (Online service)
Subject
LIFE SCIENCES.
Systems biology.
MICROBIAL ECOLOGY.
Community ecology, Biotic.
ECOLOGY.
BIOMATHEMATICS.
Life Sciences.
Systems Biology.
Mathematical and Computational Biology.
Theoretical Ecology/Statistics.
Community & Population Ecology.
Microbial Ecology.
Multimedia
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$a Systems biology.
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$a MICROBIAL ECOLOGY.
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Summary
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.
Contents
Basic Models -- Chemostat Versus the Lake -- Instability Tendencies -- Self-Regulation -- Wall Growth -- Zones of No Activation -- Influence of the Control Mechanisms -- Parameter Estimation Using Dynamic Optimization.
Subject
LIFE SCIENCES.
Systems biology.
MICROBIAL ECOLOGY.
Community ecology, Biotic.
ECOLOGY.
BIOMATHEMATICS.
Life Sciences.
Systems Biology.
Mathematical and Computational Biology.
Theoretical Ecology/Statistics.
Community & Population Ecology.
Microbial Ecology.
Multimedia