Computational Electrophysiology

This text is a guide to computational electrophysiology, the one area of computational and systems biology where computational and mathematical models have succeeded. It also covers bifurcation analysis, a tool to analyze highly nonlinear biological systems.

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 textbook 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.

This monograph provides a practical and quick guide to both the computational electrophysiology and the practical numerical bifurcation analysis. This book is unique in that many mathematical models with different abstraction levels from neuroscience and electrophysiology, and also many examples of numerical bifurcation analysis on the models are included. Includes supplementary material: sn.pub/extras

Inhalt
A Very Short Trip on Dynamical Systems.- The HodgkinHuxley Theory of Neuronal Excitation.- Computational and Mathematical Models of Neurons.- Whole System Analysis of HodgkinHuxley Systems.- HodgkinHuxley-Type Models of Cardiac Muscle Cells.