{
  "annotation_id": "4ee1928d-3f8f-4fb2-9cfc-b254ce79cce6",
  "date_created": "2026-03-02T18:01:35.730000Z",
  "date_modified": "2026-03-02T18:01:35.730000Z",
  "file_hash": "b7031a765128363e6234b317e9a69ad98eff57fe47455ea26ab9e5298efd50af",
  "private": false,
  "record": {
    "abstract": "An equation describing the evolution of phenotypic distribution is derived\nusing methods developed in statistical physics. The equation is solved by using\nthe singular perturbation method, and assuming that the number of bases in the\ngenetic sequence is large. Applying the equation to the mutation-selection\nmodel by Eigen provides the critical mutation rate for the error catastrophe.\nPhenotypic fluctuation of clones (individuals sharing the same gene) is\nintroduced into this evolution equation. With this formalism, it is found that\nthe critical mutation rate is sometimes increased by the phenotypic\nfluctuations, i.e., noise can enhance robustness of a fitted state to mutation.\nOur formalism is systematic and general, while approximations to derive more\ntractable evolution equations are also discussed.",
    "arxiv_id": "q-bio/0611031",
    "authors": [
      "Katsuhiko Sato",
      "Kunihiko Kaneko"
    ],
    "categories": [
      "q-bio.PE",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1103/PhysRevE.75.061909",
    "title": "Evolution Equation of Phenotype Distribution: General Formulation and   Application to Error Catastrophe",
    "url": "https://arxiv.org/abs/q-bio/0611031"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ae440df0-b285-4795-b8a3-a93eab778d3c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}