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Math Biosci. 2016 Aug;278:11-21. doi: 10.1016/j.mbs.2016.05.001. Epub 2016 May 14.

The role of electrical coupling in generating and modulating oscillations in a neuronal network.

Author information

1
Department of Mathematics, William Paterson University, Wayne, NJ 07470, USA. Electronic address: mouserc@wpunj.edu.
2
Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ 07102, USA. Electronic address: bose@njit.edu.
3
Federated Department of Biological Sciences, New Jersey Institute of Technology and Rutgers University, Newark, NJ 07102, USA. Electronic address: farzan@njit.edu.

Abstract

A simplified model of the crustacean gastric mill network is considered. Rhythmic activity in this network has largely been attributed to half center oscillations driven by mutual inhibition. We use mathematical modeling and dynamical systems theory to show that rhythmic oscillations in this network may also depend on, or even arise from, a voltage-dependent electrical coupling between one of the cells in the half-center network and a projection neuron that lies outside of the network. This finding uncovers a potentially new mechanism for the generation of oscillations in neuronal networks.

KEYWORDS:

Electrical coupling; Half-center oscillator; Phase-plane analysis

PMID:
27188714
PMCID:
PMC4940261
DOI:
10.1016/j.mbs.2016.05.001
[Indexed for MEDLINE]
Free PMC Article

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