How lineages begin and end in a pattern-forming chemical medium
Lineages in a pattern-forming medium without replicators: the Gray-Scott reaction-diffusion system in three habitats. Four measured results. (i) The medium has a mixing length: two lineages merge below a surface gap of 9 +/- 1 cells, independent of body size. (ii) A fusion is a merger, not a birth: both lineages end on the same step and one body appears under a new identifier. (iii) The outcome is a whole-cell step while the dissolution time spreads before it. (iv) A lineage's end is mostly the loss of its name rather than of its cells, and the habitat that maximises generations is not the one where a lineage survives. The heredity coefficient is measured rather than asserted: the daughter-on-parent slope is 0.9837 [0.9680, 1.0002] and 0.9931 [0.9756, 1.0103], the residual is the mutation rule's own sigma to one per cent, and with the mutation ablated the trait has no variance at all.
Authors
- Илья Владимиров
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-11-04
- DOI
- https://doi.org/10.5281/zenodo.23933439
- Primary Topic
- Cellular Automata and Applications
- Type
- preprint