Computational Electrophysiology

Dynamical Systems and Bifurcations

  • Shinji Doi
  • Junko Inoue
  • Zhenxing Pan
  • Kunichika Tsumoto

Part of the A First Course in “In Silico Medicine” book series (FCISM, volume 2)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Shinji Doi, Junko Inoue, Zhenxing Pan
    Pages 1-35
  3. Shinji Doi, Junko Inoue, Zhenxing Pan
    Pages 37-54
  4. Shinji Doi, Junko Inoue, Zhenxing Pan
    Pages 55-98
  5. Shinji Doi, Junko Inoue, Zhenxing Pan
    Pages 99-117
  6. Shinji Doi, Junko Inoue, Zhenxing Pan
    Pages 119-141
  7. Back Matter
    Pages 143-153

About this book


Biological systems inherently possess much ambiguity or uncertainty. Computational electrophysiology is the one area, from among the vast and rapidly growing discipline of computational and systems biology, in which computational or mathematical models have succeeded. This book provides a practical and quick guide to both computational electrophysiology and numerical bifurcation analysis. Bifurcation analysis is a very powerful tool for the analysis of such highly nonlinear biological systems. Bifurcation theory provides a way to analyze the effect of a parameter change on a system and to detect a critical parameter value when the qualitative nature of the system changes. Included in this work are many examples of numerical computations of bifurcation analysis of various models as well as mathematical models with different abstraction levels from neuroscience and electrophysiology. This volume will benefit graduate and undergraduate students as well as researchers in diverse fields of science.


Neuroscience bioinformatics biological complexity computational approaches to biological phenomena databasing biological dynamics dynamics integration of biological functions modeling and simulating biological dynamics physiology

Authors and affiliations

  • Shinji Doi
    • 1
  • Junko Inoue
    • 2
  • Zhenxing Pan
    • 3
  • Kunichika Tsumoto
    • 3
  1. 1.Graduate School of EngineeringKyoto UniversityKyoto-Daigaku Katsura, Nishikyo-kuJapan
  2. 2.Faculty of Human ScienceKyoto Koka Women’s UniversityJapan
  3. 3.Graduate School of EngineeringOsaka UniversityJapan

Bibliographic information

Industry Sectors
Materials & Steel
Health & Hospitals
Consumer Packaged Goods