Delay-induced spiking dynamics in integrate-and-fire neurons

Chang Yuan Cheng, Shyan Shiou Chen, Rui Hua Chen

研究成果: 雜誌貢獻期刊論文同行評審

摘要

Experiments showed that a neuron can fire when its membrane po tential (an intrinsic quality related to its membrane electrical charge) reaches a specific threshold. On theoretical studies, there are two crucial issues in ex- ploring cortical neuronal dynamics: (i) what model describes spiking dynamics of each neuron, and (ii) how the neurons are connected [E. M. Izhikevich, IEEE Trans. Neural Networks, 15 (2004)]. To study the first issue, we propose the time delay effect on the well-known integrate-and-fire (IF) model which is clas- sically introduced to study the spiking behaviors in neural systems by using the spike-and-reset procedure. Under the consideration of delayed adaptation on the membrane potential, the parameter range for the IF model with spiking dynamics becomes wider due to undergoing subcritical Hopf bifurcation and the existence of an unstable orbit. To study the second issue, we consider the system with two coupled identical IF units where time delay takes place in the coupling structure. We also demonstrate spiking behaviors in the coupled system when the delay time is large enough, and it contributes an original viewpoint of the connection between neurons. In contrast with the emergence of delay-induced spiking in a single-neuron system, a coupled two-neuron sys- tem involve both emergence and death of spiking according to different values of delay times. We also discuss the ranges of different parameters in which it allows occurrence of spiking behaviors.

原文英語
頁(從 - 到)1867-1887
頁數21
期刊Discrete and Continuous Dynamical Systems - Series B
26
發行號4
DOIs
出版狀態已發佈 - 2021 四月

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

指紋 深入研究「Delay-induced spiking dynamics in integrate-and-fire neurons」主題。共同形成了獨特的指紋。

引用此