Analytical models of propagation in excitable cells
نویسندگان
چکیده
منابع مشابه
Passive Models of Excitable Cells
Excitable cells show a strongly nonlinear relationship between the transmembrane potential and the membrane current. In particular, after the membrane potential reaches threshold, the membrane potential follows a stereotyped wave shape called the action potential. Nevertheless, up to about 80% of the threshold level, the membrane potential and current can be described accurately using linear, o...
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Propagation of pulses in myelinated fibers may be described by appropriate solutions of spatially discrete FitzHugh-Nagumo systems. In these systems, propagation failure may occur if either the coupling between nodes is not strong enough or the recovery is too fast. We give an asymptotic construction of pulses for spatially discrete FitzHugh-Nagumo systems which agrees well with numerical simul...
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We study a mechanism of pulse propagation failure in excitable media where stable traveling pulse solutions appear via a subcritical pitchfork bifurcation. The bifurcation plays a key role in that mechanism. Small perturbations, externally applied or from internal instabilities, may cause pulse propagation failure ~wave breakup! provided the system is close enough to the bifurcation point. We d...
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Speed of propagation of small-amplitude pressure waves through the cytoplasmic interior of myelinated and unmyelinated axons of different diameters is theoretically estimated and is found to generally agree with the action potential (AP) conduction velocities. This remarkable coincidence allows to surmise a model in which AP spread along axon is propelled not by straggling ionic currents as in ...
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Traveling waves transmit information through space. Wave patterns arise in phenomena as diverse as the migrating action potentials of neurons (Hodgkin and Huxley 1952), spiraling bands of electrical excitation detected in cardiac muscle (Davidenko et al. 1992), and the movement of calcium within differentiating Xenopus laevis oocytes (Lechleiter et al. 1991). In each of these cases, an excitabl...
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ژورنال
عنوان ژورنال: Progress in Biophysics and Molecular Biology
سال: 1976
ISSN: 0079-6107
DOI: 10.1016/0079-6107(76)90007-9