Dynamic causal modeling: Difference between revisions

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<math>\begin{align}
F &= \frac{1}{2}\ln|\tilde{\Pi}_0*\cdot\Pi*sC*\cdot\tilde{\Sigma}\cdot\Sigma_0| \\
&- \frac{1}{2}(\mu^T\Pi\mu + \tilde{\mu}_0^T\tilde{\Pi}_0\tilde{\mu}_0 - \mu_0^T\Pi_0\mu_0 - sE'*sC*sE\tilde{\mu}^T\tilde{\Sigma}\tilde{\mu}) \\
\tilde{\mu} &= \Pi\mu + \tilde{\Pi}_0\tilde{\mu}_0+\Pi_0\mu_0 \\
F = F/2;
\tilde{\Sigma} &= (\Pi+\tilde{\Pi}-\Pi_0)^{-1}
\end{align}</math>