Brain neural networks models based on the model of Hodgkin-Huxley and the inhibitory and excitatory postsynaptic potentials EPSP and IPSP balance problem are investigated. The problem of the inhibitory and excitatory postsynaptic potential balance, affecting such person's ability as learning, memory, movement, ability to analyze and so on has great scientific and practical importance. Implementation of the model Hodgkin-Huxley in the Matlab environment is made. Model modification is considered given the occurrence of a synapse in neuron system.

Keywords: mathematical modeling, EPSP, IPSP, ionic channel, modified model parameter, neural network model, Hodgkin-Huxley