One population Amari-type neural field in the browser

Excitatory

$a_{e}$

$a_{i}$

$\tau_e$

$\theta_e$

$\sigma_e$

$\sigma_i$

$N_e$

Time stepping

$\Delta t$

Presets

E-cell firing rate ∈[0,1]

I-cell firing rate ∈[0,1]

E/I trajectories in phase space
Steady-state adaptation

Firing rate variables
Red=E Green=I Blue=|E-I|

Adaptation variables
Red=I Green=E Blue=|E-I|

E/I trajectories in phase space
With, without adaptation

Click to start

Wave State Demonstration

TODO: info text here

Simulation

\[\textrm{E-cells: } \tau_e \dot{U_e} = -U_e + f( a_{ee} \cdot K_e \star U_e - a_{ie} \cdot K_i \star U_e - \theta_e)\] \[\textrm{Interaction kernel (normalized to 1): } K_{e,i}(x,y) \propto \exp\left(\frac{1}{2} \frac{x^2}{\sigma_{x\,e,i}^2}+\frac{1}{2} \frac{y^2}{\sigma_{y\,e,i}^2}\right)\]