dorsal/arxiv
View SchemaMigration and proliferation dichotomy in tumor cell invasion
| Authors | Sergei Fedotov, Alexander Iomin |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0610016 |
| URL | https://arxiv.org/abs/q-bio/0610016 |
| DOI | 10.1103/PhysRevLett.98.118101 |
Abstract
We propose a two-component reaction-transport model for the migration-proliferation dichotomy in the spreading of tumor cells. By using a continuous time random walk (CTRW) we formulate a system of the balance equations for the cancer cells of two phenotypes with random switching between cell proliferation and migration. The transport process is formulated in terms of the CTRW with an arbitrary waiting time distribution law. Proliferation is modeled by a standard logistic growth. We apply hyperbolic scaling and Hamilton-Jacobi formalism to determine the overall rate of tumor cell invasion. In particular, we take into account both normal diffusion and anomalous transport (subdiffusion) in order to show that the standard diffusion approximation for migration leads to overestimation of the overall cancer spreading rate.
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"abstract": "We propose a two-component reaction-transport model for the\nmigration-proliferation dichotomy in the spreading of tumor cells. By using a\ncontinuous time random walk (CTRW) we formulate a system of the balance\nequations for the cancer cells of two phenotypes with random switching between\ncell proliferation and migration. The transport process is formulated in terms\nof the CTRW with an arbitrary waiting time distribution law. Proliferation is\nmodeled by a standard logistic growth. We apply hyperbolic scaling and\nHamilton-Jacobi formalism to determine the overall rate of tumor cell invasion.\nIn particular, we take into account both normal diffusion and anomalous\ntransport (subdiffusion) in order to show that the standard diffusion\napproximation for migration leads to overestimation of the overall cancer\nspreading rate.",
"arxiv_id": "q-bio/0610016",
"authors": [
"Sergei Fedotov",
"Alexander Iomin"
],
"categories": [
"q-bio.CB",
"q-bio.QM"
],
"doi": "10.1103/PhysRevLett.98.118101",
"title": "Migration and proliferation dichotomy in tumor cell invasion",
"url": "https://arxiv.org/abs/q-bio/0610016"
},
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