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The simplest model used for synaptic input assumes an instantaneous rise of the synaptic conductance gsyn(t) from 0 to maximum conductance g¯syn at time instant t0 followed by an exponential decay with a time constant τ: gsyn(t)=g¯syne−(t−t0)τ(9) Another popular synaptic model, the “alpha function” [25], describes a conductance that has a rising phase with finite rise time gsyn(t)=g¯synt−t0τe(1−(t−t0)τ)(10) However, due to a single time constant, τ, the time courses of the rise and decay are correlated and cannot be set independently.
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