In equation (7) from [1] the differential equation for the signal component is:
ds/dt = epsilon * u(t) - s / tau_s -(f - 1) / tau_f
The default values chosen here are: epsilon = 0.5, tau_s = 0.8, tau_f = 0.4
Paper [2] builds upon paper [1] and uses the same set of differential equations, equations (3). Here the signal component is given as:
ds/dt = z - kappa * s - gamma * ( f - 1)
Here u has been renamed to z, epsilon is dropped, and instead of tau_s and tau_f they now use kappa and gamma. They act as the inverse of these time constants. According to table 1 the default values are kappa = 0.65 per s, gamma = 0.41 per s.
So in paper [2] the values are:
tau_s = 1 / kappa = 1 / 0.65 s ~ 1.54 s
tau_f = 1 / gamma = 1 / 0.41 s ~ 1.44 s
The issue I am raising is that the default values of tau_s [3] and tau_f [4] in the tvb implementation are:
tau_s_tvb = 0.65
tau_f_tvb = 0.41
To me it seems as if tau_s and kappa and tau_f and gamma got confused with each other and the default values should be the inverses of what they are now.
[1] Friston et al., 2000, Nonlinear Responses in fMRI: The Balloon Model,
Volterra Kernels, and Other Hemodynamics
[2] Friston et al, 2003, Dynamic causal modelling
I think he is using the web GUI, where these parameters are not exposed. So I would like to propagate this question towards this group with a double goal:
- is this indeed a mistake in tvb code?
- should we expose all params in web GUI (would it make sense) ?
Thanks,
Lia.
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