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To exemplify, next two mutations of gene ID = 471 (discussed in Fig. 5.6) are
considered. The first, is exemplified in Fig. 5.11 and reveals an “unstable near
edge” behavior for
H .
Indeed, starting from a random initial state spatial cluster, a slow growth while
maintaining a random dynamic behavior is observed. Various bifurcation values
of the parameter H can be emphasized while changing H furthermore.
When this parameter is decreased to
1
33
H , as shown in Fig. 5.12, the cel-
lular array behaves as an excitable medium propagating waves from an initial state
perturbation. Starting the mutation process with other “seeds” (i.e. emergent Boo-
lean genes) a large variety of emergent phenomena in the resulting continuous
state cellular system are revealed. Such emergent behaviors may have various
practical applications, ranging from biological modeling to signal processing such
as image compression, or signal detection.
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Fig. 5.12. Another mutation of gene 471: A linear saturated output for the cell is chosen
instead of the hard limiter one and
H . The result is a cellular array simulating
an excitable medium capable to propagate waves. A different initial condition is used,
representing some handwritten figures
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735
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