Model for a Faciltating Synapse

A facilitating synapse (Bullock, 1958) is one where one presynaptic pulse (pp), applied to the synapse after a long quiescent time, causes a single epsp called the "basic response." If the first input pp is then followed a few milliseconds later by a second pp, the epsp in response to the second pp is larger than the basic response. The same behavior is true for a third pp, etc. The facilitation phenomenon is seen to die out in time following the last pp. If the pps are far enough apart in time, no significant facilitation will be observed in the corresponding epsps. Facilitation is clearly a time-dependent, nonlinear phenomenon. Several early neural modelers devised nonlinear analog electronic models (Lewis, 1964; Harmon, 1964) for facilitation; i.e., the models produce simulated epsps with facilitation. Mathematically, a facilitating synapse can be simulated by multiplying each linear basic epsp response by a factor dependent on the instantaneous frequency of the input pulses. This technique is illustrated in the Simnon model below, FACILBF.t:

continuous system FACILBF " 3/10/99 Use Euler integration w/ DT = .001. STATE x1 x2 f g DER dx1 dx2 df dg

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