Probabilistic approach to a proliferation and migration dichotomy in the tumor cell invasion

Abstract

The proliferation and migration dichotomy of the tumor cell invasion is examined within a two-component continuous time random walk (CTRW) model. The balance equations for the cancer cells of two phenotypes with random switching between cell proliferation and migration are derived. The transport of tumor cells is formulated in terms of the CTRW with an arbitrary waiting time distribution law, while proliferation is modelled by a logistic growth. The overall rate of tumor cell invasion for normal diffusion and subdiffusion is determined.

arXiv commentAccepted for publication as a Regular Article in Physical Review E

References in corpus (4)

• On reaction-subdiffusion equations
• Migration and proliferation dichotomy in tumor cell invasion
• Simulating the Impact of a Molecular 'Decision-Process' on Cellular Phenotype and Multicellular Patterns in Brain Tumors
• Dynamics and pattern formation in invasive tumor growth

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