Dynamic Models And Control Of Biological Systems

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Dynamic Models And Control Of Biological Systems

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Author : Vadrevu Sree Hari Rao
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-07-30

Dynamic Models And Control Of Biological Systems written by Vadrevu Sree Hari Rao and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-30 with Science categories.

Mathematical Biology has grown at an astonishing rate and has established itself as a distinct discipline. Mathematical modeling is now being applied in every major discipline in the biological sciences. Though the field has become increasingly large and specialized, this book remains important as a text that introduces some of the exciting problems which arise in the biological sciences and gives some indication of the wide spectrum of questions that modeling can address.

Modeling Dynamic Biological Systems

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Author : Bruce Hannon
language : en
Publisher: Springer
Release Date : 2014-07-05

Modeling Dynamic Biological Systems written by Bruce Hannon and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-05 with Science categories.

Many biologists and ecologists have developed models that find widespread use in theoretical investigations and in applications to organism behavior, disease control, population and metapopulation theory, ecosystem dynamics, and environmental management. This book captures and extends the process of model development by concentrating on the dynamic aspects of these processes and by providing the tools such that virtually anyone with basic knowledge in the Life Sciences can develop meaningful dynamic models. Examples of the systems modeled in the book range from models of cell development, the beating heart, the growth and spread of insects, spatial competition and extinction, to the spread and control of epidemics, including the conditions for the development of chaos. Key features: - easy-to-learn and easy-to-use software - examples from many subdisciplines of biology, covering models of cells, organisms, populations, and metapopulations - no prior computer or programming experience required Key benefits: - learn how to develop modeling skills and system thinking on your own rather than use models developed by others - be able to easily run models under alternative assumptions and investigate the implications of these assumptions for the dynamics of the biological system being modeled - develop skills to assess the dynamics of biological systems

Mathematical Modelling Of Dynamic Biological Systems

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Author : Ludwik Finkelstein
language : en
Publisher: John Wiley & Sons
Release Date : 1985-05-08

Mathematical Modelling Of Dynamic Biological Systems written by Ludwik Finkelstein and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-05-08 with Science categories.

This volume introduces readers to the methodology of dynamic systems analysis, using mathematical modelling techniques as an aid to understanding biological phenomena. It creates an ability to appreciate current medical and biological literature, in which mathematical models are being used with increasing frequency, and provides an introduction to the more advanced techniques of systems science. Mathematical concepts are illustrated by reference to frequent biological examples. By the use of case studies drawn from physiology, the various levels of mathematical modelling which can be adopted are presented.

Mathematical Modeling Of Biological Systems

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Author : Harvey J. Gold
language : en
Publisher: John Wiley & Sons
Release Date : 1977

Mathematical Modeling Of Biological Systems written by Harvey J. Gold and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Science categories.

The modeling process - an overview. Dimension and similarity. Probability models. Dynamic processes. Interacting dynamic processes. Feedback control and stability of biological systems. Curve fiting: estimating the parameters. Computing.

Modeling Dynamic Biological Systems

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Author : Bruce Hannon
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Modeling Dynamic Biological Systems written by Bruce Hannon and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

Models help us understand the dynamics of real-world processes by using the computer to mimic the actual forces that are known or assumed to result in a system's behavior. This book does not require a substantial background in mathematics or computer science.

Modeling Biological Systems

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Author : James W. Haefner
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-05-06

Modeling Biological Systems written by James W. Haefner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-06 with Science categories.

I Principles 1 1 Models of Systems 3 1. 1 Systems. Models. and Modeling . . . . . . . . . . . . . . . . . . . . 3 1. 2 Uses of Scientific Models . . . . . . . . . . . . . . . . . . . . . . . . 4 1. 3 Example: Island Biogeography . . . . . . . . . . . . . . . . . . . . . 6 1. 4 Classifications of Models . . . . . . . . . . . . . . . . . . . . . . . . 10 1. 5 Constraints on Model Structure . . . . . . . . . . . . . . . . . . . . . 12 1. 6 Some Terminology . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 1. 7 Misuses of Models: The Dark Side . . . . . . . . . . . . . . . . . . . 13 1. 8 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 2 The Modeling Process 17 2. 1 Models Are Problems . . . . . . . . . . . . . . . . . . . . . . . . . . 17 2. 2 Two Alternative Approaches . . . . . . . . . . . . . . . . . . . . . . 18 2. 3 An Example: Population Doubling Time . . . . . . . . . . . . . . . . 24 2. 4 Model Objectives . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 2. 5 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 3 Qualitative Model Formulation 32 3. 1 How to Eat an Elephant . . . . . . . . . . . . . . . . . . . . . . . . . 32 3. 2 Forrester Diagrams . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 3. 3 Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 3. 4 Errors in Forrester Diagrams . . . . . . . . . . . . . . . . . . . . . . 44 3. 5 Advantages and Disadvantages of Forrester Diagrams . . . . . . . . . 44 3. 6 Principles of Qualitative Formulation . . . . . . . . . . . . . . . . . . 45 3. 7 Model Simplification . . . . . . . . . . . . . . . . . . . . . . . . . . 47 3. 8 Other Modeling Problems . . . . . . . . . . . . . . . . . . . . . . . . 49 viii Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3. 9 Exercises 53 4 Quantitative Model Formulation: I 4. 1 From Qualitative to Quantitative . . . . . . . . . . . . . . . . . Finite Difference Equations and Differential Equations 4. 2 . . . . . . . . . . . . . . . . 4. 3 Biological Feedback in Quantitative Models . . . . . . . . . . . . . . . . . . . . . . . . . . 4. 4 Example Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4. 5 Exercises 5 Quantitative Model Formulation: I1 81 . . . . . . . . . . . . . . . . . . . . . . . . . . . 5. 1 Physical Processes 81 . . . . . . . . . . . . . . . 5. 2 Using the Toolbox of Biological Processes 89 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5. 3 Useful Functions 96 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5. 4 Examples 102 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5. 5 Exercises 104 6 Numerical Techniques 107 . . . . . . . . . . . . . . . . . . . . . . . 6. 1 Mistakes Computers Make 107 . . . . . . . . . . . . . . . . . . . . . . . . . . 6. 2 Numerical Integration 110 . . . . . . . . . . . . . . . . 6. 3 Numerical Instability and Stiff Equations 115 . . . . . . . . . . . . . .

Dynamic Models In Biology

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Author : Stephen P. Ellner
language : en
Publisher: Princeton University Press
Release Date : 2011-09-19

Dynamic Models In Biology written by Stephen P. Ellner and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-19 with Science categories.

From controlling disease outbreaks to predicting heart attacks, dynamic models are increasingly crucial for understanding biological processes. Many universities are starting undergraduate programs in computational biology to introduce students to this rapidly growing field. In Dynamic Models in Biology, the first text on dynamic models specifically written for undergraduate students in the biological sciences, ecologist Stephen Ellner and mathematician John Guckenheimer teach students how to understand, build, and use dynamic models in biology. Developed from a course taught by Ellner and Guckenheimer at Cornell University, the book is organized around biological applications, with mathematics and computing developed through case studies at the molecular, cellular, and population levels. The authors cover both simple analytic models--the sort usually found in mathematical biology texts--and the complex computational models now used by both biologists and mathematicians. Linked to a Web site with computer-lab materials and exercises, Dynamic Models in Biology is a major new introduction to dynamic models for students in the biological sciences, mathematics, and engineering.

Optimal Control Applied To Biological Models

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Author : Suzanne Lenhart
language : en
Publisher: Chapman and Hall/CRC
Release Date : 2007

Optimal Control Applied To Biological Models written by Suzanne Lenhart and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.

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Modeling Biological Systems

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Author : James W Haefner
language : en
Publisher:
Release Date : 1996-07-01

Modeling Biological Systems written by James W Haefner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-07-01 with categories.

Mathematical Modeling Of Dynamic Biological Systems

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Author : Ludwik Finkelstein
language : en
Publisher:
Release Date : 1979

Mathematical Modeling Of Dynamic Biological Systems written by Ludwik Finkelstein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Biological systems categories.