Active Disturbance Rejection Synchronization of Morris-Lecar Neurons

Synchronization of biological neurons is not only a hot topic, but also a difficult issue in the field of bioelectrical physiology. Numerous reported synchronization algorithms are designed on the basis of neural model, but they have deficiencies like relatively complex and poor robustness and are d...

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Main Authors: Wei Wei, Yanjie Shao, Min Zuo
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/7656252
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author Wei Wei
Yanjie Shao
Min Zuo
author_facet Wei Wei
Yanjie Shao
Min Zuo
author_sort Wei Wei
collection DOAJ
description Synchronization of biological neurons is not only a hot topic, but also a difficult issue in the field of bioelectrical physiology. Numerous reported synchronization algorithms are designed on the basis of neural model, but they have deficiencies like relatively complex and poor robustness and are difficult to be realized. Morris-Lecar neuron is considered, and linear active disturbance rejection control (LADRC) is designed. Only one control input signal is utilized to synchronize membrane potentials of biological neurons. Meanwhile, in order to verify the robustness of synchronization, sinusoidal signal and parameter perturbations are introduced in numerical simulations. LADRC can still achieve satisfactory synchronization. Both theoretical and numerical simulation results show that LADRC is capable of estimating and cancelling disturbances and uncertainties. Neither accurate neural models nor concrete disturbance signal models are indispensable. A more practical and effective thought is provided to address the synchronization between neurons.
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spelling doaj-art-e0d2c07951cd4b67a6f49b7fbec390542025-02-03T06:00:10ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/76562527656252Active Disturbance Rejection Synchronization of Morris-Lecar NeuronsWei Wei0Yanjie Shao1Min Zuo2School of Computer and Information Engineering, Beijing Key Laboratory of Big Data Technology for Food Safety, Beijing Technology and Business University, Beijing 100048, ChinaSchool of Computer and Information Engineering, Beijing Key Laboratory of Big Data Technology for Food Safety, Beijing Technology and Business University, Beijing 100048, ChinaSchool of Computer and Information Engineering, Beijing Key Laboratory of Big Data Technology for Food Safety, Beijing Technology and Business University, Beijing 100048, ChinaSynchronization of biological neurons is not only a hot topic, but also a difficult issue in the field of bioelectrical physiology. Numerous reported synchronization algorithms are designed on the basis of neural model, but they have deficiencies like relatively complex and poor robustness and are difficult to be realized. Morris-Lecar neuron is considered, and linear active disturbance rejection control (LADRC) is designed. Only one control input signal is utilized to synchronize membrane potentials of biological neurons. Meanwhile, in order to verify the robustness of synchronization, sinusoidal signal and parameter perturbations are introduced in numerical simulations. LADRC can still achieve satisfactory synchronization. Both theoretical and numerical simulation results show that LADRC is capable of estimating and cancelling disturbances and uncertainties. Neither accurate neural models nor concrete disturbance signal models are indispensable. A more practical and effective thought is provided to address the synchronization between neurons.http://dx.doi.org/10.1155/2018/7656252
spellingShingle Wei Wei
Yanjie Shao
Min Zuo
Active Disturbance Rejection Synchronization of Morris-Lecar Neurons
Complexity
title Active Disturbance Rejection Synchronization of Morris-Lecar Neurons
title_full Active Disturbance Rejection Synchronization of Morris-Lecar Neurons
title_fullStr Active Disturbance Rejection Synchronization of Morris-Lecar Neurons
title_full_unstemmed Active Disturbance Rejection Synchronization of Morris-Lecar Neurons
title_short Active Disturbance Rejection Synchronization of Morris-Lecar Neurons
title_sort active disturbance rejection synchronization of morris lecar neurons
url http://dx.doi.org/10.1155/2018/7656252
work_keys_str_mv AT weiwei activedisturbancerejectionsynchronizationofmorrislecarneurons
AT yanjieshao activedisturbancerejectionsynchronizationofmorrislecarneurons
AT minzuo activedisturbancerejectionsynchronizationofmorrislecarneurons