Output from the computational model. Results from simulations of the
system (Equation 1). The system
output is generated for 129 values of the connectivity parameter g,
ranging from 0 to 128 on the horizontal axis, and for 0 to 128 initially excited
units, indicated on the vertical axis. The background colour represents the number
of excited units that remain self-sustained according to the dynamics of the coupled
system of oscillators. All simulations were first done without noisy input and
without changes of the connectivity parameter g. The blue region
corresponds to a non-excitable state (‘postictal’); yellow to a limit cycle state
(total synchronization or ‘seizure’); and the gradually coloured state in the
middle, to ‘normal functioning’, where the system sustains its initial state.
Introduction of noise and plasticity of connectivity g through the
coherence detector (Equation
2), makes the system transition between the different states (red line). The
model simulation starts in a ‘seizure’ state. The connectivity parameter
g is activated above a certain level of synchrony (the input from
the coherency detector from Fig. 1).
This ‘seizure’-induced plasticity of the connectivity parameter g
causes termination of the ‘seizure’ and drives the return through a ‘postictal’
period to the ‘normal’ state which we defined as an excitability threshold 50%
higher than that of the homeostatic point, indicated in red.