{
  "annotation_id": "71432ac5-47a8-40fd-92c4-857b7f3a26c3",
  "date_created": "2026-03-02T18:01:00.582000Z",
  "date_modified": "2026-03-02T18:01:00.582000Z",
  "file_hash": "841aa460bf091471cb0713ba2fc0950057ff4dc5b71adab62094297851756038",
  "private": false,
  "record": {
    "abstract": "We studied the effect of additive and multiplicative noises on the growth of\na tumor based on a logistic growth model. The steady-state probability\ndistribution and the average population of the tumor cells were given to\nexplain the important roles of correlated noises in the tumor growth. We found\nthat multiplicative noise induces a phase transition of the tumor growth from\nan uni-stable state to a bi-stable state; the relationship between the\nintensity of multiplicative noise and the population of the tumor cells showed\na stochastic resonance-like characteristic. It was also confirmed that additive\nnoise weakened rather than extinguish the tumor growth. Homologous noises,\nhowever, promote the growth of a tumor. We also discussed about the\nrelationship between the tumor treatment and the model.",
    "arxiv_id": "physics/0506058",
    "authors": [
      "Wei-Rong Zhong",
      "Yuan-Zhi Shao",
      "Zhen-Hui He"
    ],
    "categories": [
      "physics.bio-ph",
      "physics.med-ph"
    ],
    "title": "Influence of Correlated Noises on Growth of a Tumor",
    "url": "https://arxiv.org/abs/physics/0506058"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "699b3542-2571-4aba-88c6-2269baf11c05",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}