Figure 12.

Individual nodes in the intrinsic controller network of every cell possess information about the network-level activity pattern that they control. Each line in the plot represents the normalized causal influence exerted by the initial state $\left(t=0\right)$ of a single internal controller node in a specific cell over the asymptotic $\left(\tau =3500\right)$ activity states of the (influenced) cells, that is, it is the normalized vector $\left(\frac{\widehat{\partial s_1\left(3500\right)}}{\partial r_{j,k}\left(0\right)},\dots ,\frac{\widehat{\partial s_n\left(3500\right)}}{\partial r_{j,k}\left(0\right)}\right)\mathrm{for}$ a specific controller node $j\in \left\{1,\dots ,9\right\}$ in the influencing cell $k\in \left\{1,\dots ,n\right\}$ where, $\widehat{\frac{\partial s_i\left(\tau \right)}{\partial r_{j,k}\left(0\right)}}=\frac{\frac{\partial s_i\left(\tau \right)}{\partial r_{j,k}\left(0\right)}-\underset{1\le i\le n}{\min }\frac{\partial s_i\left(\tau \right)}{\partial r_{j,k}\left(0\right)}}{\underset{1\le i\le n}{\max }\frac{\partial s_i\left(\tau \right)}{\partial r_{j,k}\left(0\right)}-\underset{1\le i\le n}{\min }\frac{\partial s_i\left(\tau \right)}{\partial r_{j,k}\left(0\right)}}$.