{
  "annotation_id": "8b76d69b-f885-4958-b384-0fb151f1b69a",
  "date_created": "2026-03-02T18:01:18.022000Z",
  "date_modified": "2026-03-02T18:01:18.022000Z",
  "file_hash": "848649b25f9266584a07a178d551809ffb0c9c146ef9983d5456cb38cac71fa6",
  "private": false,
  "record": {
    "abstract": "We present a Hamiltonian approach for the wellknown Eigen model of the Darwin\nselection dynamics. Hamiltonization is carried out by means of the embedding of\nthe population variable space, describing behavior of the system, into the\nspace of doubled dimension by introducing additional dynamic variables. Besides\nthe study of the formalism, we try to interpret its basic elements (phase\nspace, Hamiltonian, geometry of solutions) in terms of the theoretical biology.\nA geometric treatment is given for the considered system dynamics in terms of\nthe geodesic flows in the Euclidean space where the population variables serve\nas curvilinear coordinates. The evolution of the distribution function is found\nfor arbitrary distributed initial values of the population variables.",
    "arxiv_id": "physics/9701012",
    "authors": [
      "A. V. Shapovalov",
      "E. V. Evdokimov"
    ],
    "categories": [
      "physics.bio-ph",
      "q-bio"
    ],
    "doi": "10.1016/S0167-2789(97)00179-6",
    "title": "Hamiltonian Dynamics of Darwin Systems",
    "url": "https://arxiv.org/abs/physics/9701012"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2c76115c-0145-4cad-b6eb-87025985889f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}