We continue to explore how CA aging can be controlled. In the previous experiment CA aging was controlled by CA product. In the present experiment, aging of CA-3 controls aging of CA-1 and CA-2. We start with three CA and set max age = 130. Aging acceleration of a cell in a particular position in CA-1 is proportional to the aging of a CA-3 cell in the same position. In CA-2 aging acceleration of the same cell is negatively proportional to the aging of the respective CA-3 cell. Which may be expressed as follows:
CA-1[aging acceleration, cell position]
= k * CA-3[aging, cell position]
CA-2[aging acceleration, cell position] = - k * CA-3[aging, cell position]
k; proportionality constant.
The arrows in the image below portray the direction of control. After the experiment starts, the structures of CA-1 and CA-2 change, while CA-3 remains unchanged. Aging acceleration in CA-1 and CA-2 is expressed in relation with that of CA-3. CA-3 acceleration in each position is a-0[position] (in short a-0).
The next image portrays aging of the mid cell (position = 50). Initially the age of all three mid cells is the same. Now CA-1 ages more rapidly, and CA-2 more slowly, than CA-3. At t = 30 CA-1 mid cell hits age max and its age is set to zero (white). CA-2 mid cell ages slowly and does not hit the max age level. After t = 30 CA-3 mid cell stops aging, and will not affect aging acceleration of CA-1 and CA-2. Since other cells behave differently they continue controlling CA-1 and CA-2 aging acceleration.
Below are three aging acceleration profiles. Each point
represents aging acceleration of a CA-1 cell relative to that of a CA-3 cell at the same position. White
cells indicate that the aging of a CA-1 cell is faster than the respective
CA-3 cell. Gray colored cells
age at the same velocity in CA-1 and CA-3. Black cells age slower.
Although aging of CA-1 is accelerated by CA-3, the outcome is not clear cut. Other factors also control aging, like the relationship between max age and aging velocity, or the aging of the neighbors of a particular cell. Take the CA-3 mid cell depicted above. It stops aging altogether, yet the other keep on aging. The lowest profile expresses relative aging of CA-1 and CA-2. As expected its white points predominate. Yet in a different setting this may not be so. This is what non-linearity is about. Instead of guessing what such a profile might be, let CA compute it for you.
nca=3; zygote -> effect[no 1000]; go109]; restoreparams; toaccel = 1; age[[no]] += a[[no]]; age[] +=(toaccel a[]); age[] -=(toaccel a[]); effect[no, 130]; go;