CONTROL OF COLLECTIVE BURSTING IN SMALL HODGKIN-HUXLEY NEURON CLUSTERS
The speed gradient-based control algorithm fortracking the membrane potential of Hodgkin-Huxley neurons is applied to theirsmall clusters modeling the basic features of an epileptiform dynamics. One ofthe neurons plays a role of control element detecting the temporalhyper-synchronization among its network companions and switching their burstingbehavior to resting. The ‘toy’ model proposed in the paper can serve as analgorithmic basement for developing special control elements at the scale ofone or few cells that may work autonomously and are able to detect and suppressepileptic behavior in the networks of real biological neurons.
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