Migration and proliferation dichotomy in tumor-cell invasion.

Sergei Fedotov, Alexander Iomin

    Research output: Contribution to journalArticlepeer-review


    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.
    Original languageEnglish
    JournalPhysical Review Letters
    Issue number11
    Publication statusPublished - 16 Mar 2007


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