Non linear control
We continue the previous experiment . where three CA exchange resources (age). None is injured, yet CA-1 differentiates. When its cells reach max age = 110, their age is set to zero and they are secreted into the environment. CA-1 differentiation initiates cell production. The present experiment explores how the exchange of resources in the system affects cell production.
The first graph on the left depicts ages of three isolated, non interacting CA. They continually accumulate age (resources) the spikes result from the loss of peripheral cells. The graph to its right depicts the total age (resources) of the system.
In the second experiment max age of CA-1 was set to 110 (compare with ch-61). Initially all cells were younger than max age. Somewhat later, they reached max age and their age was set to zero. These cells were then secreted into the environment. All together, during this experiment, CA-1 produced 15 cells. The other two CA aged as above.
In the third experiment. CA-2 contributed its resources to CA-1 whereupon CA-1 started deteriorating and died at t = 20. It produced 11 cells. The same outcome was observed when both CA-1 and CA-2 exchanged resources.
In the fourth experiment below, CA-3 contributed its resources. The system started oscillating and produced 35 cells
In the last experiment, resources were freely distributed between all CA. Nevertheless CA-1 died after producing 13 cells. CA-2 and CA-3 remained alive yet their resources (ages) were completely depleted.
The amount of resources produced by a CA depends on its aging velocity. As CA transfers its resources its aging decelerates.
Health is defined here as production / total age. Apparently the system tested in the fourth experiment was the healthiest.
The behavior of this simple system beats any intuition. One would expect that adding resources to CA-1, like in the second experiment , might be beneficial, nonetheless CA-1 died. The response is unpredictable. In small systems one might evaluate all possible links between the CA. and find an optimal configuration. (solution). With a larger CA set such is unthinkable, and may not be necessary. Why not let the system itself come up with its optimal solution?Setup