{
  "annotation_id": "4dea2122-f818-485d-a710-cf8a30109560",
  "date_created": "2026-03-02T18:01:35.615000Z",
  "date_modified": "2026-03-02T18:01:35.615000Z",
  "file_hash": "99e9863ad190bbd42da06e6425897d712fdbe061cac08c16f757c797bf177c7e",
  "private": false,
  "record": {
    "abstract": "In many models of genotypic evolution, the vector of genotype populations\nsatisfies a system of linear ordinary differential equations. This system of\nequations models a competition between differential replication rates (fitness)\nand mutation. Mutation operates as a generalized diffusion process on genotype\nspace. In the large time asymptotics, the replication term tends to produce a\nsingle dominant quasispecies, unless the mutation rate is too high, in which\ncase the populations of different genotypes becomes de-localized. We introduce\na more macroscopic picture of genotypic evolution wherein a random replication\nterm in the linear model displays features analogous to Anderson localization.\nWhen coupled with non-linearities that limit the population of any given\ngenotype, we obtain a model whose large time asymptotics display stable\ngenotypic diversity",
    "arxiv_id": "q-bio/0602027",
    "authors": [
      "Charles L. Epstein"
    ],
    "categories": [
      "q-bio.PE",
      "cond-mat.stat-mech",
      "math.DS",
      "math.SP",
      "nlin.AO",
      "q-bio.QM"
    ],
    "doi": "10.1007/s10955-006-9149-0",
    "title": "Anderson Localization, Non-linearity and Stable Genetic Diversity",
    "url": "https://arxiv.org/abs/q-bio/0602027"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "672866f4-3407-4dd7-afc4-30180b10140a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}