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

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...

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Bibliographic Details
Published in:Journal of nonlinear science 2022-12, Vol.32 (6), Article 92
Main Authors: Ahn, Jaewook, Chae, Myeongju, Choi, Young-Pil, Lee, Jihoon
Format: Article
Language:English
Subjects:
Adhesion
Analysis
Classical Mechanics
Economic Theory/Quantitative Economics/Mathematical Methods
Liouville equations
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Propagation
Stochastic systems
Theoretical
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Summary: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.
ISSN:0938-8974
1432-1467
DOI:10.1007/s00332-022-09854-1