Numerical Simulation Analysis of a Mathematical Model of Circadian Pacemaker Neurons

DOI: 10.4236/am.2015.68113   PDF   HTML   XML   2,623 Downloads   3,026 Views   Citations

Abstract

Sim and Forger have proposed a mathematical model of circadian pacemaker neurons in the suprachiasmatic nucleus (SCN). This model, which has been formulated on the Hodgkin-Huxley mo-del, is described by a system of nonlinear ordinary differential equations. An important feature of the SCN neurons observed in electrophysiological recording is spontaneous repetitive spiking, which is reproduced using this model. In the present study, numerical simulation analysis of this model was performed to evaluate variations in two system parameters of this model: the maximal conductance of calcium current (gCa) and the maximal conductance of sodium current (gNa). Simulation results revealed the spontaneous repetitive spiking states of the model in the (gCa, gNa)-pa-rameter space.

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Shirahata, T. (2015) Numerical Simulation Analysis of a Mathematical Model of Circadian Pacemaker Neurons. Applied Mathematics, 6, 1214-1219. doi: 10.4236/am.2015.68113.

Conflicts of Interest

The authors declare no conflicts of interest.

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