Asymptotic construction of pulses in the Hodgkin Huxley model for myelinated nerves

Details Asymptotic construction of pulses in the Hodgkin Huxley model for myelinated nerves Asymptotic construction of pulses in the Hodgkin Huxley model for myelinated nerves

2005-06-07

arxiv.org/abs/q-bio/0506005v1

Biology

Quantitative Biology

Neurons and Cognition

to appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.72.011905

A quantitative description of pulses and wave trains in the spatially discrete Hodgkin-Huxley model for myelinated nerves is given. Predictions of the shape and speed of the waves and the thresholds for propagation failure are obtained. Our asymptotic predictions agree quite well with numerical solutions of the model and describe wave patterns generated by repeated firing at a boundary.

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