In addition to the axon properties, however, the electronic model is
able to reproduce all of the somatic and dendritic activity outlined
in the section on subthreshold activity. Simulation of the pacemaker
and graded-response potentials is accomplished without additional
circuitry. In the case of synaptically induced potentials, however,
auxiliary networks are required. These networks provide additive terms
to the variable conductances in accordance with current notions on
synaptic transmission (19). Two types of networks have been used. In
both, the inputs are simulated presynaptic spikes, and in both the
outputs are the resulting simulated chemical transmitter concentration.
In both, the transmitter substance was assumed to be injected at a
constant rate during a presynaptic spike and subsequently inactivated
in the presence of an enzyme. One network simulates a first-order
chemical reaction, where the enzyme concentration is effectively
constant. The other simulates a second-order chemical reaction,
where the enzyme concentration is assumed to be reduced during the
inactivation process. For simulation of an excitatory synapse, the
output of the auxiliary network is added directly to G_{Na} in the
electronic model. For inhibition, it is added to G_{K}. With the
parameters of the electronic membrane model set at the values measured
by Hodgkin and Huxley, we have attempted to simulate synaptic activity
with the aid of the two types of auxiliary networks. In the case of
the simulated first-order reaction, the excitatory synapse exhibits
facilitation, antifacilitation, or neither—depending on the setting
of a single parameter, the transmitter inactivation rate (_i.e._,
the effective enzyme concentration). This parameter would appear,
in passing, to be one of the most probable synaptic variables. In
this case, the mechanisms for facilitation and antifacilitation are
contained in the simulated postsynaptic membrane. Facilitation is due
to the nonlinear dependence of G_{Na} on membrane potential, while
antifacilitation is due to inactivation of G_{Na}. The occurrence
of one form of response or the other is determined by the relative
importance of the two mechanisms (18). Grundfest (20) has mentioned
both of these mechanisms as potentially facilitory and antifacilitory,
respectively. The simulated inhibitory synapse with the first order
input is capable of facilitation (18), but no antifacilitation has been
observed. Again, the presence or absence of facilitation is determined
by the inactivation rate.
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