dorsal/arxiv
View SchemaPattern formation in a stochastic model of cancer growth
| Authors | Anna Ochab-Marcinek |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0501007 |
| URL | https://arxiv.org/abs/q-bio/0501007 |
| Journal | Acta Physica Polonica B 36(6) (2005) 1963 |
Abstract
We investigate noise-induced pattern formation in a model of cancer growth based on Michaelis-Menten kinetics, subject to additive and multiplicative noises. We analyse stability properties of the system and discuss the role of diffusion and noises in the system's dynamics. We find that random dichotomous fluctuations in the immune response intensity along with Gaussian environmental noise lead to emergence of a spatial pattern of two phases, in which cancer cells, or, respectively, immune cells predominate.
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"abstract": "We investigate noise-induced pattern formation in a model of cancer growth\nbased on Michaelis-Menten kinetics, subject to additive and multiplicative\nnoises. We analyse stability properties of the system and discuss the role of\ndiffusion and noises in the system\u0027s dynamics. We find that random dichotomous\nfluctuations in the immune response intensity along with Gaussian environmental\nnoise lead to emergence of a spatial pattern of two phases, in which cancer\ncells, or, respectively, immune cells predominate.",
"arxiv_id": "q-bio/0501007",
"authors": [
"Anna Ochab-Marcinek"
],
"categories": [
"q-bio.CB"
],
"journal_ref": "Acta Physica Polonica B 36(6) (2005) 1963",
"title": "Pattern formation in a stochastic model of cancer growth",
"url": "https://arxiv.org/abs/q-bio/0501007"
},
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