Asymptotic construction of pulses in the discrete Hodgkin-Huxley model for myelinated nerves.
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.
Carpio
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Departamento de Matemática Aplicada, Universidad Complutense de Madrid, Spain. ana_carpio@mat.ucm.es
D000200:Action Potentials; D000818:Animals; D055592:Biophysical Phenomena; D001703:Biophysics; D006801:Humans; D008564:Membrane Potentials; D008959:Models, Neurological; D015233:Models, Statistical; D008962:Models, Theoretical; D009186:Myelin Sheath / Q000737:chemistry / Q000502:physiology*; D009412:Nerve Fibers / Q000737:chemistry / Q000502:physiology*; D009415:Nerve Net; D009417:Nerve Tissue / Q000033:anatomy & histology*; D009431:Neural Conduction; D009474:Neurons / Q000378:metabolism; D013997:Time Factors