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  • Book
  • © 2009

Dynamic Models and Control of Biological Systems

  • 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

  • Includes supplementary material: sn.pub/extras

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Table of contents (8 chapters)

  1. Front Matter

    Pages 1-11
  2. Basic Models

    • Vadrevu Sree Hari Rao, Ponnada Raja Sekhara Rao
    Pages 1-25
  3. Chemostat Versus the Lake

    • Vadrevu Sree Hari Rao, Ponnada Raja Sekhara Rao
    Pages 27-92
  4. Instability Tendencies

    • Vadrevu Sree Hari Rao, Ponnada Raja Sekhara Rao
    Pages 93-115
  5. Self-Regulation

    • Vadrevu Sree Hari Rao, Ponnada Raja Sekhara Rao
    Pages 117-173
  6. Wall Growth

    • Vadrevu Sree Hari Rao, Ponnada Raja Sekhara Rao
    Pages 175-188
  7. Zones of No Activation

    • Vadrevu Sree Hari Rao, Ponnada Raja Sekhara Rao
    Pages 189-205
  8. Influence of the Control Mechanisms

    • Vadrevu Sree Hari Rao, Ponnada Raja Sekhara Rao
    Pages 207-226
  9. Parameter Estimation Using Dynamic Optimization

    • Vadrevu Sree Hari Rao, Ponnada Raja Sekhara Rao
    Pages 227-247
  10. Back Matter

    Pages 1-24

About this book

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.

Reviews

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)

Authors and Affiliations

  • Science & Technology, Missouri University of, Rolla, U.S.A.

    Vadrevu Sree Hari Rao

  • Technological University, Jawaharlal Nehru, Hyderabad, India

    Ponnada Raja Sekhara Rao

Bibliographic Information

Buy it now

Buying options

eBook USD 89.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access