These neurons will be firing at the next time step and they can be called “children” of our neuron in the language of the theory of branching processes.
Some of them are almost ready to fire: their membrane potential is close to the firing threshold and the impulse from our neuron will be sufficient to surpass this threshold. Its axon connects to synapses of thousands of other neurons. This interval is few milliseconds and we will use it as our time unit. Therefore, the minimum interval between the two subsequent firings of a neuron is the sum of spike duration and refractory period.
After a neuron has fired, it cannot fire again for a time interval known as the refractory period. Our neural net model for epileptics and serial killers is as follows. We make a hypothesis that, similar to epileptic seizures, the condition, causing a serial killer to commit murder, arise from the simultaneous firing of large number of neurons in the brain.
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