Continuous Time Random Walk and Migration Proliferation Dichotomy

TL;DR

This paper develops a fractional kinetics model for glioma cancer cell migration and proliferation, using a 3D comb model to explain the migration-proliferation dichotomy in the invasive zone.

Contribution

It introduces a novel 3D comb model framework to describe the fractional dynamics of glioma cells considering the fractal nature of the invasive zone.

Findings

The model captures the migration-proliferation dichotomy effectively.

The outer-invasive zone is modeled as a fractal with dimension less than 3.

The framework explains the fractional kinetics observed in glioma cell behavior.

Abstract

A theory of fractional kinetics of glial cancer cells is presented. A role of the migration-proliferation dichotomy in the fractional cancer cell dynamics in the outer-invasive zone is discussed an explained in the framework of a continuous time random walk. The main suggested model is based on a construction of a 3D comb model, where the migration-proliferation dichotomy becomes naturally apparent and the outer-invasive zone of glioma cancer is considered as a fractal composite with a fractal dimension $\frD<3$.