Ionic channel density of excitable membranes can act as a bifurcation parameter |
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Authors: | A V Holden M Yoda |
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Institution: | (1) Department of Physiology, University of Leeds, Leeds, England;(2) Present address: Department of Mathematical Engineering and Instrumentation Physics, University of Tokyo, Bunkyo-Ku, Tokyo, Japan |
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Abstract: | As the maximal K+-conductance (or K+-channel density) of the Hodgkin-Huxley equations is reduced, the stable resting membrane potential bifurcates at a subcritical Hopf bifurcation into small amplitude unstable oscillations. These small amplitude solutions jump to large amplitude periodic solutions that correspond to a repetitive discharge of action potentials. Thus the specific channel density can act as a bifurcation parameter, and can control the excitability and autorhythmicity of excitable membranes. |
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