Neurotransmitter release: Facilitation and three-dimensional diffusion of intracellular calcium

In order to account for the time courses of both evoked release and facilitation, in the framework of the Ca²⁺ hypothesis, Fogelson and Zucker (1985, Biophys. J.48, 1003-1017) suggested treating diffusion of Ca²⁺, once it enters through the Ca²⁺ channels, as a three-dimensional process (three-dimensional diffusion model). This model is examined here as a refined version of the "Ca²⁺-theory" for neurotransmitter release. The three-dimensional model was suggested to account for both the time course of release and that of facilitation. As such, it has been examined here as to its ability to predict the dependence of the amplitude and time course of facilitation under various experimental conditions. It is demonstrated that the three-dimensional diffusion model predicts the time course of facilitation to be insensitive to temperature. It also predicts the amplitude and time course of facilitation to be independent of extracellular Ca²⁺ concentration. Moreover, it predicts that inhibition of the [Na⁺]_o↔[Ca²⁺]_i exchange does not alter facilitation. These predictions are not upheld by the experimental results. Facilitation is prolonged upon reduction in temperature. The amplitude of facilitation declines and its duration is prolonged upon increase in extracellular Ca²⁺ concentration. Finally, inhibition of the [Na⁺]_o↔[Ca²⁺]_i exchange prolongs facilitation but does not alter the time course of evoked release after an impulse.