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Capacitance fluctuations causing channel noise reduction in stochastic Hodgkin–Huxley systems

G Schmid, I Goychuk and P Hänggi

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Voltage-dependent ion channels determine the electric properties of axonal cell membranes. They not only allow the passage of ions through the cell membrane, but also contribute to an additional charging of the cell membrane resulting in the so-called capacitance loading. The switching of the channel gates between an open and a closed configuration is intrinsically related to the movement of gating charge within the cell membrane. At the beginning of an action potential, the transient gating current is opposite to the direction of the current of sodium ions through the membrane. Therefore, the excitability is expected to become reduced due to the influence of a gating current. Our stochastic Hodgkin–Huxley-like modeling takes into account both the channel noise—i.e. the fluctuations of the number of open ion channels—and the capacitance fluctuations that result from the dynamics of the gating charge. We investigate the spiking dynamics of membrane patches of a variable size and analyze the statistics of the spontaneous spiking. As a main result, we find that the gating currents yield a drastic reduction of the spontaneous spiking rate for sufficiently large ion channel clusters. Consequently, this demonstrates a prominent mechanism for channel noise reduction.


PACS

87.16.Uv Active transport processes

87.16.D- Membranes, bilayers, and vesicles

05.40.Ca Noise

87.10.-e General theory and mathematical aspects

87.19.R- Mechanical and electrical properties of tissues and organs

Subjects

Medical physics

Biological physics

Statistical physics and nonlinear systems

Dates

Issue 4 (December 2006)

Received 20 September 2006, accepted for publication 3 November 2006

Published 22 November 2006

 
Bifurcation diagrams for the original deterministic HH model and the deterministic generalized model.


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