3 papers
physics.bio-ph2025
A Macroscopically Consistent Reactive Langevin Dynamics Model
Samuel A. Isaacson, Qianhan Liu, Konstantinos Spiliopoulos +1
Particle-based stochastic reaction-diffusion (PBSRD) models are a popular approach for capturing stochasticity in reaction and transport processes across biological systems. In som…
math.PR2023
Mean field limits of particle-based stochastic reaction-drift-diffusion models
Max Heldman, Samuel A. Isaacson, Qianhan Liu +1
We consider particle-based stochastic reaction-drift-diffusion models where particles move via diffusion and drift induced by one- and two-body potential interactions. The dynamics…
math.PR2022
Moderate deviations for fully coupled multiscale weakly interacting particle systems
Zachary Bezemek, Konstantinos Spiliopoulos
We consider a collection of fully coupled weakly interacting diffusion processes moving in a two-scale environment. We study the moderate deviations principle of the empirical dist…