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A mathematical model of vibrissamotoneurons vMN, which has been developed by Harish and Golomb, can showrepetitive spiking in response to a transient external stimulation. The vMNmodel is described by a system of nonlinear ordinary differential equationsbased on the Hodgkin-Huxley scheme. The vMN model is regulated by various typesof ionic conductances, such as persistent sodium, transient sodium,delayed-rectifier potassium, and slow ionic conductances e.g., slowlyactivating potassium afterhyperpolarization AHP conductance and hconductance. In the present study, a numerical simulation analysis of the vMNmodel was performed to investigate the effect of variations in the transientsodium and the slow ionic conductance values on the response of the vMN modelto a transient external stimulation. Numerical simulations revealed that whenboth the transient sodium and the AHP conductances are eliminated, the vMNmodel shows a bistable behavior i.e., a stimulation-triggered transitionbetween dynamic states. In contrast, none of the following induce thetransition alone: 1 elimination of the transient sodium conductance; 2elimination of the AHP conductance; 3 elimination of the h conductance; or 4elimination of both the transient sodium and the h conductances.

KEYWORDS

Mathematical Model, Numerical Simulation, Vibrissa, Ionic Conductance, Bistability

Cite this paper

Shirahata, T. 2016 Dynamic Behavior Induced by the Cooperation between Two Different Ionic Conductances in a Mathematical Model of Vibrissa Motoneurons. Applied Mathematics, 7, 1043-1048. doi: 10.4236-am.2016.710091.





Autor: Takaaki Shirahata

Fuente: http://www.scirp.org/



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