IMPULSE PATTERNING AND RELAXATIONAL PROPAGATION IN EXCITABLE MEDIA
IMPULSE PATTERNING AND RELAXATIONAL PROPAGATION IN EXCITABLE MEDIA
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DOI：
10.1016/s0022-5193(05)80138-9
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发表时间：
1990-09-21
影响因子：
2
通讯作者：
SPIEGEL, EA
中科院分区：
文献类型：
--
作者：
ELPHICK, C;MERON, E;SPIEGEL, EA
在均匀的可激发介质中，脉冲的波列在传播过程中会向匀速方向弛豫。在这里，我们提出了一个研究这种松弛过程。从基本的反应扩散方程或电缆方程开始，我们推导出运动学的轨迹广泛间隔的脉冲的常微分方程的形式为一组的时间脉冲到达空间中的一个给定的点。从这些方程的稳定性准则，使我们能够确定可能的渐近形式的传播列车。当激励后的恢复是单调的，只有一个稳定的列车存在一个给定的传播速度。然而，在振荡恢复的情况下，许多稳定的序列是可能的。单调和振荡恢复之间的本质区别体现在定性不同的弛豫行为。
Wavetrains of impulses in homogeneous excitable media relax during propagation toward constant-speed patterns. Here we present a study of this relaxation process. Starting with the basic reaction-diffusion or cable equations, we derive kinematics for the trajectories of widely spaced impulses in the form of ordinary differential equations for the set of times at which impulses arrive at a given point in space. Stability criteria derived from these equations allow us to determine the possible asymptomic forms of propagating trains. When the recovery after excitation is monotonic, only one stable train exists for a given propagation speed. In the case of an oscillatory recovery, however, many stable trains are possible. This essential difference between monotonic and oscillatory recoveries manifests itself in qualitatively distinct relaxational behaviors.