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The dependence of impulse propagation speed on firing frequency, dispersion, for the hodgkinhuxley model. Biophys. J., 34:227-259, 1981.https://hdl.handle.net/20.500.14352/15306En este trabajo se estudian dos casos de propagación de impulsos nerviosos: el continuo y el discreto. En ambos casos aparecen ciertas ecuaciones diferenciales en derivadas parciales necesarias para resolverlos, y para poder formular y expresar ondas viajeras en problemas biológicos. Además, ayudan al estudio del comportamiento de las espinas dendríticas de las neuronas y los nervios mielinados. Para ello, estudiamos a fondo el modelo Hodgkin-Huxley, el método del disparo, así como el fallo de propagación de los impulsos nerviosos y el papel que juegan los sistemas de reacción-difusión. Se da una versión generalizada del modelo SDS y analizamos brevemente las equivalencias formales entre estos resultados.In this paper, two cases of nervous impulses propagation are studied: the continuous and the discrete. In both cases appear certain differential equations in partial derivatives, which are needed to solve the cases and to formulate and express traveling waves in biological problems. In addition, these differential equations help the study of the behavior of the neurons dendritic spines and the myelinated nerves. To do so, we study in depth the Hodgkin-Huxley model, the firing method, as well as the failure of propagation of nerve impulses and the role played by the reaction-diffusion systems. A generalized version of the SDS model is given and we analyze briefly the formal equivalences between these results.spabachelor thesisopen access517.9Propagación de impulsos nerviososFallo de propagaciónNervios mielinadosOndas viajerasTrenes de ondaEspinas dendríticasEcuaciones diferenciales en derivadas parcialesEcuación biestableEcuaciones FitzHugh-NagumoModelos SDS Spike-diffuse-spikeSistemas de reacción-difusiónModelo Hodgkin-HuxleyMétodo del disparoNervous impulse propagationPropagation failureMyelinated nervesTraveling wavesWave trainsDendritic spinesDifferential equations in partial derivativesBistable equationFitzHugh-Nagumo equationsSDS Spike-diffuse-spike modelsReaction-diffusion systemsHodgkin-Huxley modelFiring methodMatemáticas (Matemáticas)Ecuaciones diferenciales12 Matemáticas1202.07 Ecuaciones en Diferencias