Probabilistic approach to a proliferation and migration dichotomy in tumor cell invasion.
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 modeled by a logistic growth. The overall rate of tumor cell invasion for normal diffusion and subdiffusion is determined.
Department of Mathematics, University of Manchester, Manchester M60 1QD, United Kingdom.
Sergei
S
Fedotov
Alexander
A
Iomin
D001703:Biophysics / Q000379:methods; D001932:Brain Neoplasms / Q000473:pathology*; D045744:Cell Line, Tumor; D002465:Cell Movement; D049109:Cell Proliferation; D006801:Humans; D015233:Models, Statistical; D009361:Neoplasm Invasiveness; D010641:Phenotype; D011336:Probability; D018874:Spheroids, Cellular / Q000378:metabolism; D013997:Time Factors; D014407:Tumor Cells, Cultured