Transient Periodicity in a Morris-Lecar Neural System. (1st July 2012)

• Record Type: Journal Article
• Authors: Nadar, Sreenivasan Rajamoni; Rai, Vikas
• Other Names: Bocharov G. Academic Editor.; Kitano K. Academic Editor.; Piqueira J. R. C. Academic Editor.; Santillán M. Academic Editor.
• Is Part Of: ISRN biomathematics. Volume 2012(2012)
• Publication Date: 2012-07-01
• Subjects: Biomathematics -- Periodicals; Models, Biological; Biometry; Biomathematics; Electronic journals; Periodicals; Periodicals; Fulltext; Internet Resources; Periodicals; 570.151
• DOI: 10.5402/2012/546315
• Languages: English
• ISSNs: 2090-7702

Abstract

Abstract : The dynamical complexity of a system of ordinary differential equations (ODEs) modeling the dynamics of a neuron that interacts with other neurons through on-off excitatory and inhibitory synapses in a neural system was investigated in detail. The model used Morris-Lecar (ML) equations with an additional autonomous variable representing the input from interaction of excitatory neuronal cells with local interneurons. Numerical simulations yielded a rich repertoire of dynamical behavior associated with this three-dimensional system, which included periodic, chaotic oscillation and rare bursts of episodic periodicity called the transient periodicity.