To speed things up (because the simulator is not that fast), I'm focusing entirely on the various parameters during the 11pm to 7am period. I'm trying to figure out the equations that result in the sleep activity that we measure in humans, such as the following:
and this:
My hope is the my simulator will be able to reproduce these patterns using equations based on the amount of metabolic waste, the amount of daylight, the state of the 90-minute cycle, and the number of awake neurons.
I'm starting with the simplest equations and then will start to layer other factors on top to modulate them. For example, here's a graph where the probability of being awake is simply proportionate to the amount of metabolic waste:
The next step is to also modulate whether a neuron is awake based on whether the neurons it's connected to are awake. This will hopefully force sleeping neurons to stay asleep longer in the early phase of sleep.
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