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50


. Time to compute reduced model using IRKA
A1000r

Output error (IRKA vs. quasi-active)


---h = 2 μm (N = 41364)
---h = 0.5 μm (N = 165330)

Figure 2.13: A) Time to compute the reduced system, and B) maximum absolute error between
the quasi-active and reduced system output using IRKA on cell n408. Solid lines correspond to
the
N = 41364 case, while dashed lines are for the N = 165330 case. In (A) the sudden drop in
computation time around
к = 10 occurs for both cases because at that point, though the shifts have
not converged, the reduced system is accurate to a tolerance of 3 digits or more


the soma is the site of action potential generation, we only need to check whether

y(t) = υσ{t) ≥ Vth

(2.44)


where V⅛ ɪs some threshold voltage (recall that vσ(t) ≡ v1(∕bι,t)). At each time-
step during the simulation we check if threshold was reached, and if so then we
instantaneously reset the soma voltage to the rest and hold it there for a refractory
period of τref ms.

2.7.1 Thresholding at the Soma

Reset values should be chosen to produce as much similarity as possible between
the outputs of the active and quasi-active models while still being biophysically rea-



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