Mathematical modeling of the transmission of electrical signals in neurons
Keywords:
review, neuron, computer modeling, cable theory, passive membrane, synaptic signal, non-linear mechanismsAbstract
The article is a brief overview to get acquainted with the methods of mathematical modeling of the
transmission of electrical signals in biological neurons. The neuronal doctrine and modern method of
obtaining morphological data of nerve cells are described. It is the computer reconstruction of in vivo
stained neurons with branched dendritic processes. The cable model of transmission of electrical signals
in the dendrites of neurons is overviewed. The use of cable theory for simulations in simplified and
realistic models, which are built using the data of reconstructed neurons, is discussed. Described the
methods of inclusion in the model the non-linear factors such as non-linear summation of synaptic input
multiple-static signals and nonlinear membrane conductance - ion channels (for example, mo-Delhi
Hodgkin-Huxley).
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