dorsal/arxiv
View SchemaStochastic models for tumoral growth
| Authors | Carlos Escudero |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0603009 |
| URL | https://arxiv.org/abs/q-bio/0603009 |
| DOI | 10.1103/PhysRevE.73.020902 |
| Journal | Phys. Rev. E 73, 020902(R) (2006) |
Abstract
Strong experimental evidence has indicated that tumor growth belongs to the molecular beam epitaxy universality class. This type of growth is characterized by the constraint of cell proliferation to the tumor border, and surface diffusion of cells at the growing edge. Tumor growth is thus conceived as a competition for space between the tumor and the host, and cell diffusion at the tumor border is an optimal strategy adopted for minimizing the pressure and helping tumor development. Two stochastic partial differential equations are introduced in this work in order to correctly model the physical properties of tumoral growth in (1+1) and (2+1) dimensions. The advantages of these models is that they reproduce the correct geometry of the tumor and are defined in terms of polar variables. Analysis of these models allow us to quantitatively estimate the response of the tumor to an unfavorable perturbation during the growth.
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"abstract": "Strong experimental evidence has indicated that tumor growth belongs to the\nmolecular beam epitaxy universality class. This type of growth is characterized\nby the constraint of cell proliferation to the tumor border, and surface\ndiffusion of cells at the growing edge. Tumor growth is thus conceived as a\ncompetition for space between the tumor and the host, and cell diffusion at the\ntumor border is an optimal strategy adopted for minimizing the pressure and\nhelping tumor development. Two stochastic partial differential equations are\nintroduced in this work in order to correctly model the physical properties of\ntumoral growth in (1+1) and (2+1) dimensions. The advantages of these models is\nthat they reproduce the correct geometry of the tumor and are defined in terms\nof polar variables. Analysis of these models allow us to quantitatively\nestimate the response of the tumor to an unfavorable perturbation during the\ngrowth.",
"arxiv_id": "q-bio/0603009",
"authors": [
"Carlos Escudero"
],
"categories": [
"q-bio.QM",
"cond-mat.stat-mech",
"q-bio.TO"
],
"doi": "10.1103/PhysRevE.73.020902",
"journal_ref": "Phys. Rev. E 73, 020902(R) (2006)",
"title": "Stochastic models for tumoral growth",
"url": "https://arxiv.org/abs/q-bio/0603009"
},
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