Synaptic vesicle dynamics: a simple model of phasic release.

We present a simple model of phasic neurotransmitter release whichreproduces the salient features of chemical neurotransmission. The synapticvesicle cycle has been modelled as a set of biochemical reactionsrepresented by a system of coupled differential equations. These equationshave been solved analytically to obtain the time dependent behaviour of thesystem on perturbation from the steady state. The scheme of the synapticvesicle network has been emphasized and its role in determining some of themajor experimentally observed properties of synaptic transmission has beendiscussed, which includes the biphasic decay of the rate neurotransmitterrelease even under sustained stimulation. Another interesting outcome ofthis theoretical exercise is the saturation of total release with thecalcium dependent rate constant. The theoretically calculated values oftotal release fit very well into a sigmoidal saturating function with afourth order cooperativity exponent similar to the empiricalDodge-Rahamimoff equation. It appears that the synaptic vesiclenetwork itself is responsible for some of the major properties associatedwith chemical neurotransmission.