Anomalous diffusion on dynamical networks: A model for interacting epithelial cell migration

TL;DR

This paper introduces a model for epithelial cell migration on 2D surfaces, incorporating anomalous diffusion and trajectory following, validated against experimental data with genetically manipulated cells.

Contribution

It presents a novel model combining anomalous diffusion with cell trajectory following, solved via Tsallis thermodynamics, and compares it with experimental data.

Findings

Model accurately predicts cell migration patterns

Tsallis-based solutions fit experimental distributions

Genetic manipulation affects cell interaction dynamics

Abstract

We propose a model for cell migration where epithelial cells are able to detect trajectories of other cells and try to follow them. As cells move along in 2D cell culture, they mark their paths by loosing tiny parts of cytoplasm. Any cell moving on a surface where other cells have moved before faces a network of cell trajectories, which it tries to restrict its motion onto. With the Tsallis modification of classical thermodynamics one can solve the relevant Fokker-Planck like equation and obtain experimentally testable distribution functions. We compare the model to experimental data of normal mammary epithelial cells and cells which have been genetically manipulated to change their degree of cell-cell interaction.