.png){kind=icon}
.png){kind=icon}
Return
A MACROSCOPICALLY CONSISTENT REACTIVE LANGEVIN DYNAMICS MODEL
.png){kind=icon}
PRE
AI
DOI：10.1137/25M1728594.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
Particle-based stochastic reaction-diffusion (PBSRD) models are a popular approach for capturing stochasticity in reaction and transport processes across biological systems. In some contexts, the overdamped approximation inherent in such models may be inappropriate, necessitating the use of more microscopic Langevin dynamics (LD) models for spatial transport. In this work we develop a novel particle-based Reactive LD (RLD) model with a focus on deriving reactive interaction kernels that are consistent with the physical constraint of detailed balance of reactive fluxes at equilibrium. We demonstrate that, to leading order, the overdamped limit of the resulting RLD model corresponds to the volume reactivity PBSRD model, of which the well-known Doi model is a particular instance. Our work provides a step toward systematically deriving PBSRD models from more microscopic reaction models and suggests possible constraints on the latter to ensure consistency between the two physical scales.
Keywords:
particle-based Stochastic reaction-diffusion
Langevin dynamics
Brownian dynamics
overdamped limit
Journal
S
IF:
2.1
Papers:
35
Citations:
8.3K