Propagation of bursting oscillations

被引：15

作者：

Ambrosio, Benjamin ^{[1
]}

Francoise, Jean-Pierre ^{[1
]}

机构：

[1] Univ Paris 06, Lab JL Lions, UMR 7598, CNRS, Paris 6, France

来源：

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2009年 / 367卷 / 1908期

关键词：

attractors; bursting; oscillations; excitable media; reaction diffusion; FITZHUGH-NAGUMO EQUATIONS; EXCITATION;

D O I：

10.1098/rsta.2009.0143

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We investigate a system of partial differential equations of reaction-diffusion type which displays propagation of bursting oscillations. This system represents the time evolution of an assembly of cells constituted by a small nucleus of bursting cells near the origin immersed in the middle of excitable cells. We show that this system displays a global attractor in an appropriated functional space. Numerical simulations show the existence in this attractor of recurrent solutions which are waves propagating from the central source. The propagation seems possible if the excitability of the neighbouring cells is above some threshold.

引用

页码：4863 / 4875

页数：13

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