Propagation of Chaos in the Nonlocal Adhesion Models for Two Cancer Cell Phenotypes

Jaewook Ahn, Myeongju Chae, Young Pil Choi, Jihoon Lee

Research output: Contribution to journalArticlepeer-review

Abstract

We establish a quantitative propagation of chaos for a large stochastic systems of interacting particles. We rigorously derive a mean-field system, which is a diffusive cell-to-cell nonlocal adhesion model for two different phenotypes of tumors, from that stochastic system as the number of particles tends to infinity. We estimate the error between the solutions to a N-particle Liouville equation associated with the particle system and the limiting mean-field system by employing the relative entropy argument.

Original languageEnglish
Article number92
JournalJournal of Nonlinear Science
Volume32
Issue number6
DOIs
StatePublished - Dec 2022

Keywords

  • Cell–cell adhesion
  • Non-local models
  • Propagation of chaos
  • Relative entropy method
  • Stochastic interacting particle systems

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