Selfreplication

Mutual Impact
f[state[j, i], rule[#], max age] = f[state[j, i - 1], rule[#], state[j - 1, i - 1]]
f[state[j-1, i], rule[#], max age] = f[state[j-1, i - 1], rule[#], state[j , i - 1]]
Self impact
f[state[j, i], rule[#], max age] = f[state[j, i - 1], rule[#], state[j , i - 1]]

Hitherto most interactions between CA were  mutual . Their mutual impact  was I={i , j}.  In the present experiment a CA interacts with itself. Its state sets the age distribution and I = {i, i}   A similar interaction was described in chapter 17

The first image depicts  an oscillating  CA with a period of 16 days


The next image depicts two self impacting CA. In addition CA-1 interacts with CA-2.  First CA-2 zygote was planted. Then CA-1 was planted at rising times.   The cell count oscillates with a period of 16 days .  Throughout one cycle CA-2 assumes different shapes. When the cycle is over  CA-2 elongates by a triangular segment.

Differentiation  cycle

The above image depicts CA-2 changes during one cycle. At delay time = 26 CA has one triangular structure,  During the next cycle it adds one triangular structure to the chain. Similar life cycles  are observed in helmintes like schistosoma mansoni.

http://www.biologie.uni-erlangen.de/parasit/contents/research/schisto.html

Setup
a[[1, x1 ]] = 0; x2 = 25 ; seedtime = *; effect [1,1, 20 - sa[[1]]; effect[2, 2, 20 - sa[[2]] + sa[[1]];

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