Diffusion approximation of the neuronal model with synaptic reversal potentials

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Abstract
The stochastic neuronal model with reversal potentials is approximated. For the model with constant postsynaptic potential amplitudes, a deterministic approximation is the only one which can be applied. The diffusion approximations are performed under the conditions of random postsynaptic potential amplitudes. New diffusion models of nerve membrane potential are devised in this way. These new models are more convenient for an analytical treatment than the original model with discontinuous trajectories.