title: Effect of sharp jumps at the edges of phase response curves on synchronization of electrically coupled neuronal oscillators.
abstract: We study synchronization phenomenon of coupled neuronal oscillators using the theory of weakly coupled oscillators. The role of sudden jumps in the phase response curve profiles found in some experimental recordings and models on the ability of coupled neurons to exhibit synchronous and antisynchronous behavior is investigated, when the coupling between the neurons is electrical. The level of jumps in the phase response curve at either end, spike width and frequency of voltage time course of the coupled neurons are parameterized using piecewise linear functional forms, and the conditions for stable synchrony and stable antisynchrony in terms of those parameters are computed analytically. The role of the peak position of the phase response curve on phase-locking is also investigated.
authors.affiliation: Department of Biology, University of Texas at San Antonio, San Antonio, Texas, USA. ramana.dodla@utsa.edu
authors.forename: Ramana
authors.initials: R
authors.lastname: Dodla
authors.forename: Charles J
authors.initials: CJ
authors.lastname: Wilson
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008124:Locomotion / Q000502:physiology*; D008959:Models, Neurological; D009474:Neurons / Q000502:physiology*
references.citation: Neural Comput. 1995 Mar;7(2):307-37
references.pmid: 8974733
references.citation: J Comput Neurosci. 2008 Feb;24(1):37-55
references.pmid: 17577651
references.citation: J Comput Neurosci. 1994 Dec;1(4):313-21
references.pmid: 8792237
references.citation: Philos Trans R Soc Lond B Biol Sci. 2010 Aug 12;365(1551):2407-22
references.pmid: 20603361
references.citation: J Neurophysiol. 2005 Mar;93(3):1197-208
references.pmid: 15525802
references.citation: Neural Comput. 2001 Jun;13(6):1285-310
references.pmid: 11387047
references.citation: J Theor Biol. 1967 Jul;16(1):15-42
references.pmid: 6035757
references.citation: PLoS Comput Biol. 2010 Sep 30;6(9):
references.pmid: 20941393
references.citation: Neural Comput. 2004 Apr;16(4):673-715
references.pmid: 15025826
references.citation: J Neurophysiol. 2012 Oct;108(7):1838-55
references.pmid: 22786959
references.citation: PLoS Comput Biol. 2012;8(4):e1002478
references.pmid: 22511861
references.citation: J Comput Neurosci. 2003 May-Jun;14(3):283-309
references.pmid: 12766429
references.citation: J Neurophysiol. 2005 Nov;94(5):3637-42
references.pmid: 16014787
references.citation: Neural Comput. 2001 Apr;13(4):765-74
references.pmid: 11255568
references.citation: J Neurosci. 1996 Oct 15;16(20):6402-13
references.pmid: 8815919
references.citation: Neural Comput. 2000 Jul;12(7):1643-78
references.pmid: 10935921
references.citation: J Neurosci. 2003 Jul 16;23(15):6280-94
references.pmid: 12867513
references.citation: Neural Comput. 2007 Mar;19(3):706-29
references.pmid: 17298230
references.citation: Neural Comput. 2005 Mar;17(3):633-70
references.pmid: 15802009
references.citation: Biol Cybern. 1988;58(4):235-42
references.pmid: 3358956
references.citation: Biophys J. 2007 Jan 15;92(2):683-95
references.pmid: 17192317
references.citation: Neural Comput. 1996 Jul 1;8(5):979-1001
references.pmid: 8697231
references.citation: Biol Cybern. 1999 Jan;80(1):11-23
references.pmid: 20809292
references.citation: J Neurosci. 2009 Apr 22;29(16):5218-33
references.pmid: 19386918