SYNCHRONIZATION OF PULSE-COUPLED BIOLOGICAL OSCILLATORS
SYNCHRONIZATION OF PULSE-COUPLED BIOLOGICAL OSCILLATORS
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DOI：
10.1137/0150098
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发表时间：
1990-12-01
影响因子：
1.9
通讯作者：
STROGATZ, SH
中科院分区：
文献类型：
--
作者：
MIROLLO, RE;STROGATZ, SH
研究了基于佩斯金心脏起搏器模型的生物振荡器同步发射的简单模型[心脏生理学的数学方面，纽约大学库朗数学科学研究所，纽约，1975 年，第 268-278 页]。该模型由一组相同的积分激发振荡器组成。振荡器之间的耦合是脉动的：当给定的振荡器激发时，它会将其他振荡器拉高固定的量，或将它们带到激发阈值，以较小者为准。主要结果是，对于几乎所有初始条件，总体演化到所有振荡器同步激发的状态。讨论了模型与真实生物振荡器群落之间的关系；例子包括同步闪烁的萤火虫群体、齐声鸣叫的蟋蟀、电同步起搏器细胞以及月经周期相互同步的妇女群体。
A simple model for synchronous firing of biological oscillators based on Peskin’s model of the cardiac pacemaker [Mathematical aspects of heart physiology, Courant Institute of Mathematical Sciences, New York University, New York, 1975, pp. 268–278] is studied. The model consists of a population of identical integrate-and-fire oscillators. The coupling between oscillators is pulsatile: when a given oscillator fires, it pulls the others up by a fixed amount, or brings them to the firing threshold, whichever is less.The main result is that for almost all initial conditions, the population evolves to a state in which all the oscillators are firing synchronously. The relationship between the model and real communities of biological oscillators is discussed; examples include populations of synchronously flashing fireflies, crickets that chirp in unison, electrically synchronous pacemaker cells, and groups of women whose menstrual cycles become mutually synchronized.