2007.146: Migration and proliferation dichotomy in tumor cell invasion
2007.146: Sergei Fedotov and Alexander Lomin (2007) Migration and proliferation dichotomy in tumor cell invasion. Physical Review Letters, 98 (11). 118101/1-118101/4. ISSN 1079-7114
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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.
|Subjects:||PACS 2003 > 87 Biological and medical physics|
|Deposited By:||Mrs Louise Healey|
|Deposited On:||16 November 2007|