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Supplementary Table 3 Lower and upper bounds of parameters uniform distributions used to generate initial parameters for fitting, and hard limits enforced by pattern search during the optimisation process

From: Phase-dependence of response curves to deep brain stimulation and their relationship: from essential tremor patient data to a Wilson–Cowan model

Parameter

Symbol

Initial parameter distribution

Hard limits enforced by optimizer

Lower bound

Upper bound

Lower bound

Upper bound

I to E weight

\(w_{IE}\)

0

10

0

30

E to I weight

\(w_{EI}\)

0

10

0

30

E to E weight

\(w_{EE}\)

0

10

0

30

Sigmoid steepness parameter

β

0

10

0

30

Time constant (s)

τ

0

0.3

0

0.5

Constant input to E

\(\theta_{E}\)

−2

10

−30

30

Constant input to I

\(\theta_{I}\)

−10

2

−30

30

Noise standard deviation

ζ

0

0.1

0

0.3

Stimulation magnitude

δE

0

0.02

0

0.1

Stimulation delay (ms)

\(\Delta t_{\text{stim}} \)

0

250

0

500