Exploring the role of inhibitory coupling in duplex networks

doi:10.1088/1674-1056/26/8/088201

中国物理B ›› 2017, Vol. 26 ›› Issue (8): 88201-088201.doi: 10.1088/1674-1056/26/8/088201

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

Exploring the role of inhibitory coupling in duplex networks

Cui-Yun Yang(杨翠云), Guo-Ning Tang(唐国宁), Hai-Ying Liu(刘海英)

1 College of Physical Science and Technology, Guangxi Normal University, Guilin 541004, China;
2 Department of Physics and Engineering Technology, Guilin Normal College, Guilin 541001, China

收稿日期:2017-02-18 修回日期:2017-04-27 出版日期:2017-08-05 发布日期:2017-08-05
通讯作者: Guo-Ning Tang E-mail:tangguoning@mailbox.gxnu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11565005 and 11365003).

Exploring the role of inhibitory coupling in duplex networks

Cui-Yun Yang(杨翠云)^1,2, Guo-Ning Tang(唐国宁)¹, Hai-Ying Liu(刘海英)²

1 College of Physical Science and Technology, Guangxi Normal University, Guilin 541004, China;
2 Department of Physics and Engineering Technology, Guilin Normal College, Guilin 541001, China

Received:2017-02-18 Revised:2017-04-27 Online:2017-08-05 Published:2017-08-05
Contact: Guo-Ning Tang E-mail:tangguoning@mailbox.gxnu.edu.cn
About author:0.1088/1674-1056/26/8/
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11565005 and 11365003).

摘要/Abstract

摘要：

The electrical coupling of myocytes and fibroblasts can play a role in inhibiting electrical impluse propagation in cardiac muscle. To understand the function of fibroblast-myocyte coupling in the aging heart, the spiral-wave dynamics in the duplex networks with inhibitory coupling is numerically investigated by the Bär-Eiswirth model. The numerical results show that the inhibitory coupling can change the wave amplitude, excited phase duration and excitability of the system. When the related parameters are properly chosen, the inhibitory coupling can induce local abnormal oscillation in the system and the Eckhaus instability of the spiral wave. For the dense inhibitory network, the maximal decrement (maximal increment) in the excited phase duration can reach 24.3%(13.4%), whereas the maximal decrement in wave amplitude approaches 28.1%. Upon increasing the inhibitory coupling strength, the system excitability is reduced and even completely suppressed when the interval between grid points in the inhibitory network is small enough. Moreover, the inhibitory coupling can lead to richer phase transition scenarios of the system, such as the transition from a stable spiral wave to turbulence and the transition from a meandering spiral wave to a planar wave. In addition, the self-sustaining planar wave, the unique meandering of spiral wave and inward spiral wave are observed. The physical mechanisms behind the phenomena are analyzed.

关键词: excitable system, spiral wave, inhibitory coupling, duplex networks

Abstract:

Key words: excitable system, spiral wave, inhibitory coupling, duplex networks

中图分类号: (Pattern formation in reactions with diffusion, flow and heat transfer)

82.40.Ck

87.18.Hf (Spatiotemporal pattern formation in cellular populations) 05.45.-a (Nonlinear dynamics and chaos)

杨翠云, 唐国宁, 刘海英. Exploring the role of inhibitory coupling in duplex networks[J]. 中国物理B, 2017, 26(8): 88201-088201.

Cui-Yun Yang(杨翠云), Guo-Ning Tang(唐国宁), Hai-Ying Liu(刘海英). Exploring the role of inhibitory coupling in duplex networks[J]. Chin. Phys. B, 2017, 26(8): 88201-088201.

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Exploring the role of inhibitory coupling in duplex networks

Exploring the role of inhibitory coupling in duplex networks

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