dorsal/arxiv
View SchemaStochastic resonance in the growth of a tumor induced by correlated noises
| Authors | Wei-Rong Zhong, Yuan-Zhi Shao, Zhen-Hui He |
|---|---|
| Categories | |
| ArXiv ID | physics/0507070 |
| URL | https://arxiv.org/abs/physics/0507070 |
Abstract
Multiplicative noise is found to divide the growth law of tumors into two parts in a logistic model, which is driven by additive and multiplicative noises simultaneously. The Fokker-Planck equation was also derived to explain the fact that the influence of the intensity of multiplicative noise on the growth of tumor cells has a stochastic resonance-like characteristic. An appropriate intensity of multiplicative noise is benefit to the growth of the tumor cells. The correlation between two sorts of noises weakens the stochastic resonance-like characteristic. Homologous noises promote the growth of the tumor cells.
{
"annotation_id": "74c3bb81-527a-44bd-a51e-020ed24dbe49",
"date_created": "2026-03-02T18:01:00.068000Z",
"date_modified": "2026-03-02T18:01:00.068000Z",
"file_hash": "e424276c849b576c758afccffd7ba05afea3a50b07de4585837a8050af3a0b56",
"private": false,
"record": {
"abstract": "Multiplicative noise is found to divide the growth law of tumors into two\nparts in a logistic model, which is driven by additive and multiplicative\nnoises simultaneously. The Fokker-Planck equation was also derived to explain\nthe fact that the influence of the intensity of multiplicative noise on the\ngrowth of tumor cells has a stochastic resonance-like characteristic. An\nappropriate intensity of multiplicative noise is benefit to the growth of the\ntumor cells. The correlation between two sorts of noises weakens the stochastic\nresonance-like characteristic. Homologous noises promote the growth of the\ntumor cells.",
"arxiv_id": "physics/0507070",
"authors": [
"Wei-Rong Zhong",
"Yuan-Zhi Shao",
"Zhen-Hui He"
],
"categories": [
"physics.bio-ph"
],
"title": "Stochastic resonance in the growth of a tumor induced by correlated noises",
"url": "https://arxiv.org/abs/physics/0507070"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "b5fb589e-8c9e-4763-94dd-5401edcad9f4",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}