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

TL;DR

This paper introduces a probabilistic CTRW model to analyze the dual roles of proliferation and migration in tumor cell invasion, incorporating random phenotype switching and different diffusion regimes.

Contribution

It develops a novel CTRW-based framework that captures the stochastic switching between proliferation and migration phenotypes in tumor invasion modeling.

Findings

Derived balance equations for tumor cell phenotypes.

Formulated tumor cell transport with arbitrary waiting time distributions.

Determined invasion rates for normal diffusion and subdiffusion.

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.