Maximize cell production!

When two CAs interact, the state of one shapes the age distribution of the other . Their interaction is determined by .Impact, which  is a couple { i , j } i stands for the impact of CA-1 on CA-2, and  j for the opposite. Impact determines the age at which a cell dies.  CA task is to produce (dead) cells, which carry chemicals to other processes. The present experiment demonstrates how impact maximizes dead cell production.

The first example shows the effect of a rising impact on the CA itself. At each instant, CA state shapes its own age distribution.  It may be regarded as an auto-stimulation, or auto-feedback. In the left CA,  impact = 0.  Here states do not affect  age. Since this CA lives for ever,  its cells are immortal, and no dead cells are produced.

The impact of its neighbor was set to 9, and it produces 130 cells in 100 time units. The curve below depicts the effect of a rising impact on its cell production. As impact rises the CA produces more cells. Yet when impact is excessive the CA dies of exhaustion

In the following experiment the mutual  impact of the two CAs on each other was raised from 0 to 12, and the total cell production determined. The x and y axes of the contour plot depict respectively the impact of CA-1 on CA-2 and vice versa. The z-axis represented by the contours depicts the magnitude of cell production. The plot is symmetric since the   impact {i , j}  of CA-1  is equal to the impact {j , i} of CA-2 , and their cell production is the same.

The 3-D plot below depicts  two cell production peaks of 1091 cells, at i =7  and j =10 (or j =7, and i =10).  The two top producers are depicted on the right.

Two independent CAs produce at most 130 cells each. When collaborating their joint production quadruples to 1091 cells.Their joint efficiency = (dead cells/ all cells) = 0.33. It was the besr in the CA set.

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