{
  "annotation_id": "6e8e78f5-79da-4846-8dcf-0188e6a68bf2",
  "date_created": "2026-03-02T18:01:34.669000Z",
  "date_modified": "2026-03-02T18:01:34.669000Z",
  "file_hash": "b789b852b363fd40a346887b1e55665c63c6c679bf08cc7bae045fe9eabe9e9b",
  "private": false,
  "record": {
    "abstract": "Persistency is the property, for differential equations in $\\R^n$, that\nsolutions starting in the positive orthant do not approach the boundary. For\nchemical reactions and population models, this translates into the\nnon-extinction property: provided that every species is present at the start of\nthe reaction, no species will tend to be eliminated in the course of the\nreaction. This paper provides checkable conditions for persistence of chemical\nspecies in reaction networks, using concepts and tools from Petri net theory.\nNontrivial examples are provided to illustrate the theory.",
    "arxiv_id": "q-bio/0608019",
    "authors": [
      "David Angeli",
      "Patrick De Leenheer",
      "Eduardo Sontag"
    ],
    "categories": [
      "q-bio.MN",
      "q-bio.BM"
    ],
    "title": "A Petri Net approach to the study of persistence in chemical reaction   networks",
    "url": "https://arxiv.org/abs/q-bio/0608019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4cf4a50a-65b7-4e1e-87d6-df0761e59237",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}