The name is absent

73

good then the singular value decay can be used as a guide to estimate how large the
reduced system must be.

To test accuracy and speed, we perform a series of simulations using random inputs
and compare the reduced system’s performance with that of the full system. A match
is said to occur when a spike, indicated by a somatic depolarization of V⅛ = 40 mV
or more from rest, in the reduced system occurs within τ_ref = 2 ms of a spike in the
full system. Our metrics for quantifying the spike-capturing accuracy of the reduced
system are the same as those in §2.7.1. We use the coincidence factor Γ (Kistler et al.,
1997), defined as

-p _ M_match Mf_u∣]Medu_ced(⁷^r_ef∕T)

(Mull + Meduced)(l ~ M_fu∏(τ_ref∕T))∕2 ’

where Muii and Meduced are the number of spikes in the full and reduced models,
respectively, M_match is the number of matches, and T is the length of the simulation.
To better evaluate the effect of false positives, we use the percentage matched and
percentage mismatched measures of §2.7.1, rewritten here explicitly as

% matched = 100- ¹"--^ch-                            (3.24)

MfuIi

% mismatched = 100^^red-^u^-^ ^^match.               (3.25)

’reduced

We simulate for 1 second with 200 random step currents, each lasting 0-5 ms
and having amplitudes of 0-100 pA, applied to random locations on the fiber. To

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