EFFECT OF RANDOM LINK MALFUNCTIONS TO SYNCHRONIZATION OF HODGKIN–HUXLEY NEURONS IN A LATTICE NETWORK

James Christopher S. Pang, Johnrob Y. Bantang and Christopher P. Monterola ()
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James Christopher S. Pang: National Institute of Physics, University of the Philippines Diliman, Quezon City 1101, Philippines
Johnrob Y. Bantang: National Institute of Physics, University of the Philippines Diliman, Quezon City 1101, Philippines
Christopher P. Monterola: National Institute of Physics, University of the Philippines Diliman, Quezon City 1101, Philippines

International Journal of Modern Physics C (IJMPC), 2012, vol. 23, issue 03, 1-14

Abstract: We study the synchronization of Hodgkin–Huxley (HH) neurons connected in a directed lattice network under the influence of varying coupling strength(g)and random link malfunctions in the form of probabilistic deletion (probabilityq) and link direction flipping(p). We quantify the extent of synchronization of the neurons in the network by averaging the fraction of firing neurons that produce action potentials (exceeding a threshold potential ofVth) across the entire observation time. By extensively scanning over the values ofg, synchronization of this network type can be enhanced by increasingguntil it reaches a threshold value wherein synchronization will deteriorate abruptly due to suppression of neural firings. We also extensively probe the interplay ofpandqand show that there are certain combinations for which the synchronization will improve, defying negative notions of how we perceive random malfunctions.

Keywords: Hodgkin–Huxley neurons; lattice network; synchronization; 87.18.Sn; 87.10.Ed; 05.45.Xt (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1142/S0129183112500271

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