© 2014

Mathematical Biophysics


Part of the Biological and Medical Physics, Biomedical Engineering book series (BIOMEDICAL)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Basic Models in Mathematical Biophysics

    1. Front Matter
      Pages 1-1
    2. Andrew Rubin, Galina Riznichenko
      Pages 3-24
    3. Andrew Rubin, Galina Riznichenko
      Pages 25-33
    4. Andrew Rubin, Galina Riznichenko
      Pages 35-54
  3. Models of Complex Systems

    1. Front Matter
      Pages 67-68
    2. Andrew Rubin, Galina Riznichenko
      Pages 83-101
    3. Andrew Rubin, Galina Riznichenko
      Pages 103-115
    4. Andrew Rubin, Galina Riznichenko
      Pages 117-138
  4. Kinetic Models of Photosynthetic Processes

    1. Front Matter
      Pages 139-139
    2. Andrew Rubin, Galina Riznichenko
      Pages 157-169
    3. Andrew Rubin, Galina Riznichenko
      Pages 171-185
    4. Andrew Rubin, Galina Riznichenko
      Pages 187-201
  5. Direct Multiparticle Models of Processes in Subcellular Systems

    1. Front Matter
      Pages 203-203
    2. Andrew Rubin, Galina Riznichenko
      Pages 205-212
    3. Andrew Rubin, Galina Riznichenko
      Pages 231-239

About this book


This book presents concise descriptions and analysis of the classical and modern models used in mathematical biophysics. The authors ask the question "what new information can be provided by the models that cannot be obtained directly from experimental data?" Actively developing fields such as regulatory mechanisms in cells and subcellular systems and electron transport and energy transport in membranes are addressed together with more classical topics such as metabolic processes, nerve conduction and heart activity, chemical kinetics, population dynamics, and photosynthesis. The main approach is to describe biological processes using different mathematical approaches necessary to reveal characteristic features and properties of simulated systems. With the emergence of powerful mathematics software packages such as MAPLE, Mathematica, Mathcad, and MatLab, these methodologies are now accessible to a wide audience.

  • Provides succinct but authoritative coverage of a broad array of biophysical topics and models
  • Written by authors at Moscow State University with its strong tradition in mathematics and biophysics
  • Scope, coverage, and length make the book highly suitable for use in a one-semester course at the senior undergraduate/graduate level


Autowave processes Belousov–Zhabotinsky reaction Classic Lotka and Volterra models Direct multiparticle models processes subcellular systems Generalized kinetic model primary photosynthetic processes Hodgkin and Huxley Kinetic model ATPase Kinetic model interaction of two photosystems Kinetic models photosynthetic processes Leslie matrices Morphogenesis models Morphogenetic field Nonlinear models DNA dynamics Oscillations periodic space structures, Chara corallina Oscillations, rhythms and chaos in biological systems Reduced FitzHugh-Nagumo Model Spaciotemporal evolution electrochemical potential Spatiotemporal self-organization of biological systems The Verhulst equation Turing instability biological systems direct multipatricle simulation of protein interactions dynamics models electron transfer in PSII growth and catalysis models heart activity mathematical biophysics mathematical biophysics book mathematical modeling, living systems mathematical models modeling processes in living systems nerve pulse propagation photosynthetic electron transport protein complex formation solution protein interactions in photosynthetic membrane subcellular systems

Authors and affiliations

  1. 1.Dept. BiophysicsLomonosov Moscow State UniversityMoscowRussia
  2. 2.Dept. BiophysicsLomonosov Moscow State UniversityMoscowRussia

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