{
  "annotation_id": "5517dfdd-8871-487a-a8a4-ea8dcecd65da",
  "date_created": "2026-03-02T18:01:34.411000Z",
  "date_modified": "2026-03-02T18:01:34.411000Z",
  "file_hash": "9f4020ce1858c0eadc963234b2b3d1cb9738c46cc2cd3df9ae0ca1a9cbdede65",
  "private": false,
  "record": {
    "abstract": "A complete parametric analysis of dynamic regimes of a conceptual model of\nanti-tumor virus therapy is presented. The role and limitations of mass-action\nkinetics are discussed. A functional response, which is a function of the ratio\nof uninfected to infected tumor cells, is proposed to describe the spread of\nthe virus infection in the tumor. One of the main mathematical features of\nratio-dependent models is that the origin is a complicated equilibrium point\nwhose characteristics crucially determine the main properties of the model. It\nis shown that, in a certain area of parameter values, the trajectories of the\nmodel form a family of homoclinics to the origin (so-called elliptic sector).\nBiologically, this means that both infected and uninfected tumor cells can be\neliminated with time, and complete recovery is possible as a result of the\nvirus therapy within the framework of deterministic models",
    "arxiv_id": "q-bio/0512022",
    "authors": [
      "Artem S. Novozhilov",
      "Faina S. Berezovskaya",
      "Eugene V. Koonin",
      "Georgy P. Karev"
    ],
    "categories": [
      "q-bio.TO",
      "q-bio.PE"
    ],
    "title": "Mathematical modeling of anti-tumor virus therapy: Regimes with complete   recovery within the framework of deterministic models",
    "url": "https://arxiv.org/abs/q-bio/0512022"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "35dd2c3c-adcc-442f-b8d4-6e5275a951ba",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}