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 language | English |
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Article number | 92 |
Journal | Journal of Nonlinear Science |
Volume | 32 |
Issue number | 6 |
DOIs | |
State | Published - Dec 2022 |
Keywords
- Cell–cell adhesion
- Non-local models
- Propagation of chaos
- Relative entropy method
- Stochastic interacting particle systems