dorsal/arxiv
View SchemaInfluence of Correlated Noises on Growth of a Tumor
| Authors | Wei-Rong Zhong, Yuan-Zhi Shao, Zhen-Hui He |
|---|---|
| Categories | |
| ArXiv ID | physics/0506058 |
| URL | https://arxiv.org/abs/physics/0506058 |
Abstract
We studied the effect of additive and multiplicative noises on the growth of a tumor based on a logistic growth model. The steady-state probability distribution and the average population of the tumor cells were given to explain the important roles of correlated noises in the tumor growth. We found that multiplicative noise induces a phase transition of the tumor growth from an uni-stable state to a bi-stable state; the relationship between the intensity of multiplicative noise and the population of the tumor cells showed a stochastic resonance-like characteristic. It was also confirmed that additive noise weakened rather than extinguish the tumor growth. Homologous noises, however, promote the growth of a tumor. We also discussed about the relationship between the tumor treatment and the model.
{
"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
}