Continuum Analysis of Biological Systems

Conserved Quantities, Fluxes and Forces

  • G.K. Suraishkumar

Part of the Biosystems & Biorobotics book series (BIOSYSROB, volume 5)

Table of contents

  1. Front Matter
    Pages 1-13
  2. Mass Conservation

    1. Front Matter
      Pages 1-1
    2. G. K. Suraishkumar
      Pages 3-20
    3. G. K. Suraishkumar
      Pages 21-67
  3. Momentum Conservation

    1. Front Matter
      Pages 69-69
    2. G. K. Suraishkumar
      Pages 71-145
  4. Energy Conservation

    1. Front Matter
      Pages 147-147
    2. G. K. Suraishkumar
      Pages 149-169
  5. Charge Conservation

    1. Front Matter
      Pages 171-171
    2. G. K. Suraishkumar
      Pages 173-187
  6. Multiple Conservations Simultaneously Applied

    1. Front Matter
      Pages 189-189
    2. G. K. Suraishkumar
      Pages 191-233
  7. Back Matter
    Pages 235-266

About this book


This book addresses the analysis, in the continuum regime, of biological systems at various scales, from the cellular level to the industrial one. It presents both fundamental conservation principles (mass, charge, momentum and energy) and relevant fluxes resulting from appropriate driving forces, which are important for the analysis, design and operation of biological systems. It includes the concept of charge conservation, an important principle for biological systems that is not explicitly covered in any other book of this kind. The book is organized in five parts: mass conservation; charge conservation; momentum conservation; energy conservation; and multiple conservations simultaneously applied. All mathematical aspects are presented step by step, allowing any reader with a basic mathematical background (calculus, differential equations, linear algebra, etc.) to follow the text with ease. The book promotes an intuitive understanding of all the relevant principles and in so doing facilitates their application to practical issues related to design and operation of biological systems. Intended as a self-contained textbook for students in biotechnology and in industrial, chemical and biomedical engineering, this book will also represent a useful reference guide for professionals working in the above-mentioned fields.




Capillary flow Cell diffusion Charge flux Electrophoresis Engineering Bernoulli Equation Fick’s First Law Mass flux Maxwell’s Equations in biology Metabolic flux Momentum flux Thermal energy flux Transport phenomena

Authors and affiliations

  • G.K. Suraishkumar
    • 1
  1. 1.Department of BiotechnologyIndian Institute of Technology Madras Sophisticated Analytical Instr. FacilityChennaiIndia

Bibliographic information

  • DOI
  • Copyright Information Anamaya Publishers, New Delhi, India 2014 2014
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-642-54467-5
  • Online ISBN 978-3-642-54468-2
  • Series Print ISSN 2195-3562
  • Series Online ISSN 2195-3570
  • Buy this book on publisher's site