Related Experiment Video
Updated: Jul 4, 2026

A Simple Migration/Invasion Workflow Using an Automated Live-cell Imager
Published on: February 2, 2019
Probabilistic approach to a proliferation and migration dichotomy in tumor cell invasion
Sergei Fedotov1, Alexander Iomin
1Department of Mathematics, University of Manchester, Manchester M60 1QD, United Kingdom.
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 modeled by a logistic growth. The overall rate of tumor cell invasion for normal diffusion and subdiffusion is determined.
Related Concept Videos
Cancer Cell Migration through Invadopodia
Metastasis
Epithelial-to-Mesenchymal Transition
The epithelial-to-mesenchymal transition or EMT is a developmental process commonly observed in wound healing, embryogenesis, and cancer metastasis. EMT is induced by transforming growth factor-beta (TGF-β) or receptor tyrosine kinase (RTK) ligands, which further...
Tumor Progression
Colon cancer is one of the best-documented examples of tumor progression. Early mutation in the APC gene in colon cells causes a small growth on the colon wall called a polyp. With time, this polyp grows into a benign, pre-cancerous tumor. Further...
Cell Migration
Cell Migration
Cancer

