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Cable equation and dendritic modeling

The main communication between two neurons is achieved via axo-dendritic
synapses located at the top of the
dendritic spines that are typical for the cortical
neurons. It is known that the dendritic postsynaptic membranes convert the
neuromediator signal into postsynaptic electric current. The neuromediator
molecules bind to specific postsynaptic ion channels and open their gates. The
ion species that enter the dendritic cytoplasm change the
membrane potential.

The dendritic projections could be modeled as electric cables. That is the electric
impulses
decrement as they are transmitted by the dendrites. The neuronal
membrane could be replaced with
equivalent electric schema that takes into
account only the passive properties of the membrane.

Fig. 8 Equivalent electric schema ofpassive neuronal membrane.

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