A mathematical model is developed to investigate the coupled electroch
emical processes of nerve-pulse transmission via adrenergic synapse. B
ased on pharmacological and morphophysiological data, the model descri
bes the dynamics of the propagation of the electric signal along the u
nmyelinated geometrically non-uniform axon of the neuron and the chemi
cal mechanisms of the transformation of the electrical signal in the s
ynaptic zone into the post-synaptic output. The combined nonlinear sys
tem of partial and ordinary differential equations has been obtained a
nd solved numerically. The results of computer simulation of the funct
ion of the idealized adrenergic neuron quantitatively and qualitativel
y describe the dynamics of Ca2+ ion influx into the terminal, noradren
aline release from the free 'releasable' store, its diffusion into the
synaptic cleft, binding with the adrenoceptors on the pre- and post-s
ynaptic structures with the generation of the inhibitory post-synaptic
potential, and utilization of noradrenaline by neuronal and non-neuro
nal capture mechanisms.