Internal injury -1

We continue the experiment of the previous chapter, It starts after the system has reached a steady state. The system consists of  two CA:  CA-2 controls CA-1, while CA-1 does not control CA-2

CA-2 cycles through its states at a period of 46.  In the following 46 experiments the border bit of each state was set to zero at a time.(v. Internal Injury). There were four kinds of outcome:

1. No change,
2. A new stationary oscillating attractor.
3. Chaotic oscillations
4. Death

Here we are interested only in the second outcome, like the one depicted below.

The upper CA-2 serves as reference.  The third CA-2  was injured at t = 35, and became chaotic. Depicted between the two is the absolute difference between them. It shows that the perturbation proceeded from the upper to the lower border. A similar perturbation spreads in CA-1, until it becomes chaotic. Meanwhile CA-2  creates a zygote (blastema) and starts controlling CA-2.  At t =70 it reaches steady state. 40 time units later CA-1 also regains its steady state.

A chaotic CA-2 induces chaos also in CA-1.

When CA-2 dies,  CA-1 is released from its control and  responds in the same way as described in the previous chapter.. Only 9% of the CA-1 survive after CA-2 dies.

Two compartment system

The experiment illustrates the behavior of a two compartment cell renewal system  (v. streaming tissues), like  bone marrow and peripheral blood. The first .supplies the second  with cells. Peripheral blood depends on the bone marrow product, while the bone marrow is independent. Suppose a viral infection damages the bone marrow,  which produces less cells and the blood becomes pale (anemia). Here damage is manifested by irregularities of the CA. When infection is over, bone marrow regenerates and replenishes the blood with cells. The periphery (blood) regains steady state long after the bone marrow does.

injurystate[1, j, 1, iend =1000, f[[2, 1]], 3. nowdat[[2,10]],1]; injurystate[1, j, 1, iend = 1000, f[[2, 2]], 3. nowdat[[2, 10]],1]; Stop interaction: iend = mm; Stop interaction: iend = mm;injurystate[2, j, mm, mm , nowdat[[2, 4]], 1, 0];

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