Robust Master-Slave Synchronization of Neuronal Systems

The desire to understand physiological mechanisms of neuronal systems has led to the introduction of engineering concepts to explain how the brain works. The synchronization of neurons is a central topic in understanding the behavior of living organisms in neurosciences and has been addressed using...

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Bibliographic Details
Published in:Mathematical problems in engineering 2017-01, Vol.2017 (2017), p.1-10
Main Authors: Lopez-Monsalvo, Cesar S., Rodriguez-Jara, Mariana, Hernández-Martínez, Eliseo, Puebla, Hector
Format: Article
Language:English
Subjects:
Adaptation
Brain
Compensation
Design
Neural networks
Neurons
Neurosciences
Noise
Physics
Physiology
Signal processing
Signal transduction
Synchronism
Uncertainty
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Summary:The desire to understand physiological mechanisms of neuronal systems has led to the introduction of engineering concepts to explain how the brain works. The synchronization of neurons is a central topic in understanding the behavior of living organisms in neurosciences and has been addressed using concepts from control engineering. We introduce a simple and reliable robust synchronization approach for neuronal systems. The proposed synchronization method is based on a master-slave configuration in conjunction with a coupling input enhanced with compensation of model uncertainties. Our approach has two nice features for the synchronization of neuronal systems: (i) a simple structure that uses the minimum information and (ii) good robustness properties against model uncertainties and noise. Two benchmark neuronal systems, Hodgkin-Huxley and Hindmarsh-Rose neurons, are used to illustrate our findings. The proposed synchronization approach is aimed at gaining insight into the effect of external electrical stimulation of nerve cells.
ISSN:1024-123X
1563-5147
DOI:10.1155/2017/7587294