Biological experimental demonstration of bifurcations from bursting to spiking predicted by theoretical models

被引:164
作者
Gu, Huaguang [1 ]
Pan, Baobao [1 ]
Chen, Guanrong [2 ]
Duan, Lixia [3 ]
机构
[1] Tongji Univ, Sch Aerosp Engn & Appl Mech, Shanghai 200092, Peoples R China
[2] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
[3] North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China
基金
中国国家自然科学基金;
关键词
Bifurcation; Neural firing; Chaos; Bursting; Spiking; Period-adding bifurcation; HINDMARSH-ROSE MODEL; POTASSIUM CHANNELS; FIRING PATTERNS; EXCITABLE CELL; NERVE INJURY; DYNAMICS; SYNCHRONIZATION; CHAOS; PAIN; RAT;
D O I
10.1007/s11071-014-1447-5
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
A series of bifurcations from period-1 bursting to period-1 spiking in a complex (or simple) process were observed with increasing extra-cellular potassium concentration during biological experiments on different neural pacemakers. This complex process is composed of three parts: period-adding sequences of burstings, chaotic bursting to chaotic spiking, and an inverse period-doubling bifurcation of spiking patterns. Six cases of bifurcations with complex processes distinguished by period-adding sequences with stochastic or chaotic burstings that can reach different bursting patterns, and three cases of bifurcations with simple processes, without the transition from chaotic bursting to chaotic spiking, were identified. It reveals the structures closely matching those simulated in a two-dimensional parameter space of the Hindmarsh-Rose model, by increasing one parameter and fixing another parameter at different values. The experimental bifurcations also resembled those simulated in a physiologically based model, the Chay model. The experimental observations not only reveal the nonlinear dynamics of the firing patterns of neural pacemakers but also provide experimental evidence of the existence of bifurcations from bursting to spiking simulated in the theoretical models.
引用
收藏
页码:391 / 407
页数:17
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