CABiology
Chaotic CA
In the following image the second CA was planted
at t = 20 and distance =18. The result is an immortal chaotic CA. The graph
depicts its mass accumulation (production).The result
is an immortal chaotic CA. The graph depicts its mass accumulation (production).
Please note:
- Each CA by itself is mortal, only their interaction makes them immortal.
- The chaotic CA generates non chaotic and immortal progeny (attractors).
- The CA group expands indefinitely.
Compare it with the Lorenz attractor which
does not generate non-chaotic processes. You may wonder, what is the difference
between the two chaotic phenomena? Currently you lack means (tools) to distinguish
between them. To me, the Lorenz attractor fails to capture (portray) chaotic
phenomena of life.
Interaction with a barrier
The barrier(vertical line) is made of the number 2. In
the first history there is no interaction. In the second the seed is planted
26 units from the barrier. As the CA grows it approaches the barrier and
covers it with CAs (cells). In the third history the CA covers the barrier
with a membrane (without cells) and bounces back to a remote niche (attractor).
The
first history illustrates how epithelial cells cover the bottom of a Petri
dish.(which is positioned vertically). Initially the cells (CAs) float in
the medium and later they adhere to the dish bottom. In the second history, cells move away
from the Petri dish bottom which
is the typical behavior of cancer cells. This history illustrates
also how cells cover the Petri dish bottom with a membrane made of two
layers, black (=2), and gray (=1).
The next image illustrates the interaction between a CA and a barrier made of the number
0. As the CA grows it approaches
the barrier. The CA boundary which touches the barrier is destroyed (=0).
After a while the CA starts moving away from the barrier, restoring its
integrity. In the next history the seed was planted closer to the barrier.
As the CA approaches the barrier, it loses more and more substance until
it dies.
This
experiment illustrates the behavior of an ameba that approaches a
toxic substance. Initially it loses part of its cytoplasm. Later on
it retreats and regenerates its cytoplasm. The second ameba (history)
hit the poison earlier than the previous one. It was younger, had
less resources, and ultimately died.
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