Mathematical Models of the Purkinje Fibre Cell and Simulations

Abstract

The purkinje fibre cell is an important biological system where various nonlinear processes interact to conduct electrical excitation which maintains the normal physiological status of the purkinje fibre and even the ventricle. The complex processes can be quantitatively described by the mathematical model. Therefore, it is of great theoretical value and profound realistic significance to research on mathematical models of the purkinje cell, which consequently in depth elucidates the mechanism of the purkinje fiber clear in microcosmic fields. This template, With the rapid development of the computing technology , computational models of the single cell are increasingly widely used in the research on the heart in the biological field. The purkinje fibre is an important tissue in the heart, and it dominates receiving and conducting excitation. In addition, the excitation conduction of the ventricle is considered mainly deriving from the purkinje fibre. Therefore, besides theoretical significance, it has also application value to research on the purkinje fibre cell, even for the further study on the heart, by building mathematical models and reproducing the active procedure. In this paper, the purkinje fibre and some relevant concepts are introduced first, and then two typical models of the purkinje fibre cell are focused on, especially their mechnisms, features and the simulations. At last the future research strategies and trends are discussed.