Synchronization control of Hodgkin-Huxley neurons exposed to sinusoidal electric field

Zhou Sisi, Wang Jiang, Yanqiu Che, Deng Bin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, H variable universe adaptive fuzzy control is derived and applied to synchronize two modified Hodgkin-Huxley (HH) neurons exposed to external sinusoidal electric field. Firstly, the modified model of HH neuron exposed to extremely low frequency (ELF) external electric field is established and its periodic and chaotic dynamics in response to sinusoidal electric field stimulation are described. And then the statement of the problem for unidirectional synchronization of two HH neurons is given. Finally H variable universe adaptive fuzzy control is designed to synchronize the HH systems and the simulation results demonstrate the effectiveness of the proposed control method.

Original languageEnglish (US)
Title of host publicationProceedings of the 26th Chinese Control Conference, CCC 2007
Pages117-121
Number of pages5
DOIs
StatePublished - Dec 1 2007
Event26th Chinese Control Conference, CCC 2007 - Zhangjiajie, China
Duration: Jul 26 2007Jul 31 2007

Publication series

NameProceedings of the 26th Chinese Control Conference, CCC 2007

Other

Other26th Chinese Control Conference, CCC 2007
CountryChina
CityZhangjiajie
Period7/26/077/31/07

Fingerprint

Neurons
Adaptive Fuzzy Control
Neuron
Electric Field
Synchronization
Electric fields
Fuzzy control
Chaotic Dynamics
External Field
Low Frequency
Demonstrate
Simulation
Model

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Control and Systems Engineering
  • Applied Mathematics
  • Modeling and Simulation

Cite this

Sisi, Z., Jiang, W., Che, Y., & Bin, D. (2007). Synchronization control of Hodgkin-Huxley neurons exposed to sinusoidal electric field. In Proceedings of the 26th Chinese Control Conference, CCC 2007 (pp. 117-121). [4347493] (Proceedings of the 26th Chinese Control Conference, CCC 2007). https://doi.org/10.1109/CHICC.2006.4347493
Sisi, Zhou ; Jiang, Wang ; Che, Yanqiu ; Bin, Deng. / Synchronization control of Hodgkin-Huxley neurons exposed to sinusoidal electric field. Proceedings of the 26th Chinese Control Conference, CCC 2007. 2007. pp. 117-121 (Proceedings of the 26th Chinese Control Conference, CCC 2007).
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Sisi, Z, Jiang, W, Che, Y & Bin, D 2007, Synchronization control of Hodgkin-Huxley neurons exposed to sinusoidal electric field. in Proceedings of the 26th Chinese Control Conference, CCC 2007., 4347493, Proceedings of the 26th Chinese Control Conference, CCC 2007, pp. 117-121, 26th Chinese Control Conference, CCC 2007, Zhangjiajie, China, 7/26/07. https://doi.org/10.1109/CHICC.2006.4347493

Synchronization control of Hodgkin-Huxley neurons exposed to sinusoidal electric field. / Sisi, Zhou; Jiang, Wang; Che, Yanqiu; Bin, Deng.

Proceedings of the 26th Chinese Control Conference, CCC 2007. 2007. p. 117-121 4347493 (Proceedings of the 26th Chinese Control Conference, CCC 2007).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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AB - In this paper, H∞ variable universe adaptive fuzzy control is derived and applied to synchronize two modified Hodgkin-Huxley (HH) neurons exposed to external sinusoidal electric field. Firstly, the modified model of HH neuron exposed to extremely low frequency (ELF) external electric field is established and its periodic and chaotic dynamics in response to sinusoidal electric field stimulation are described. And then the statement of the problem for unidirectional synchronization of two HH neurons is given. Finally H ∞ variable universe adaptive fuzzy control is designed to synchronize the HH systems and the simulation results demonstrate the effectiveness of the proposed control method.

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Sisi Z, Jiang W, Che Y, Bin D. Synchronization control of Hodgkin-Huxley neurons exposed to sinusoidal electric field. In Proceedings of the 26th Chinese Control Conference, CCC 2007. 2007. p. 117-121. 4347493. (Proceedings of the 26th Chinese Control Conference, CCC 2007). https://doi.org/10.1109/CHICC.2006.4347493