{
  "annotation_id": "da7d014f-30f7-40fb-a3fd-3a74337d61f2",
  "date_created": "2026-03-02T18:01:21.828000Z",
  "date_modified": "2026-03-02T18:01:21.828000Z",
  "file_hash": "32c75e7d1d4769ea0f6da48ec14378c6b06df492a1ba39f0c01323bf58ba2c76",
  "private": false,
  "record": {
    "abstract": "We study the Fisher model describing natural selection in a population with a\ndiploid structure of a genome by differential- geometric methods. For the\nselection dynamics we introduce an affine connection which is shown to be the\nprojectively Euclidean and the equiaffine one. The selection dynamics is\nreformulated similar to the motion of an effective particle moving along the\ngeodesic lines in an \u0027effective external field\u0027 of a tensor type. An exact\nsolution is found to the Fisher equations for the special case of fitness\nmatrix associated to the effect of chromosomal imprinting of mammals.\nBiological sense of the differential- geometric constructions is discussed. The\naffine curvature is considered as a direct consequence of an allele coupling in\nthe system. This curving of the selection dynamics geometry is related to an\ninhomogenity of the time flow in the course of the selection.",
    "arxiv_id": "physics/9805006",
    "authors": [
      "A. V. Shapovalov",
      "E. V. Evdokimov"
    ],
    "categories": [
      "physics.bio-ph",
      "q-bio"
    ],
    "title": "The geometry of the Fisher selection dynamics",
    "url": "https://arxiv.org/abs/physics/9805006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d48b5dfa-04cd-47cb-bb7d-0b2992007e17",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}