In 1952, Alan Hodgkin and Andrew Huxley published a paper in which they presented a model
consisting of a system of nonlinear ordinary differential equations that described how action
potentials (electrical signals that carry information from one place to another in the nervous system)
are generated and propagated. In this work, the objective is to solve the Hodgkin-Huxley model
numerically in order to obtain information that will help in the understanding of this phenomenon.
For this, the fourth-order Runge-Kutta method was used. The results obtained showed that the
opening, closing and permeation properties of voltage-dependent ion channels allow the generation
of action potentials, which is nothing more than the inversion of the resting potential of the neuron
membrane, where its interior is makes it more positively charged in relation to the outside. Based on
this result, it was concluded that changes in the properties of ion channels affect the emergence of
action potentials and, consequently, the functioning of the neuron.
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