[HTML][HTML] Chemical diffusion master equation: Formulations of reaction–diffusion processes on the molecular level
The chemical diffusion master equation (CDME) describes the probabilistic dynamics of
reaction–diffusion systems at the molecular level [del Razo et al., Lett. Math. Phys. 112, 49 …
reaction–diffusion systems at the molecular level [del Razo et al., Lett. Math. Phys. 112, 49 …
[HTML][HTML] Efficient and scalable prediction of stochastic reaction–diffusion processes using graph neural networks
The dynamics of locally interacting particles that are distributed in space give rise to a
multitude of complex behaviours. However the simulation of reaction–diffusion processes …
multitude of complex behaviours. However the simulation of reaction–diffusion processes …
Dynamics of systems with varying number of particles: from Liouville equations to general master equations for open systems
A varying number of particles is one of the most relevant characteristics of systems of interest
in nature and technology, ranging from the exchange of energy and matter with the …
in nature and technology, ranging from the exchange of energy and matter with the …
Quantifying rare events in stochastic reaction-diffusion dynamics using tensor networks
The interplay between stochastic chemical reactions and diffusion can generate rich
spatiotemporal patterns. While the timescale for individual reaction or diffusion events may …
spatiotemporal patterns. While the timescale for individual reaction or diffusion events may …
Data-driven dynamical coarse-graining for condensed matter systems
Simulations of condensed matter systems often focus on the dynamics of a few distinguished
components but require integrating the full system. A prime example is a molecular …
components but require integrating the full system. A prime example is a molecular …
Knowledge-based system and expectation-maximization to discovering causes of imperfect labels in vehicular networks clustering
This paper focuses on the development of a knowledge-based system for automatically
diagnosing issues in Vehicular ad hoc networks (VANETs). VANETs enable communication …
diagnosing issues in Vehicular ad hoc networks (VANETs). VANETs enable communication …
Field theories and quantum methods for stochastic reaction-diffusion systems
Complex systems are composed of many particles or agents that move and interact with one
another. The underlying mathematical framework to model many of these systems must …
another. The underlying mathematical framework to model many of these systems must …
[HTML][HTML] A stochastic field theory for the evolution of quantitative traits in finite populations
AS Bhat - Theoretical Population Biology, 2025 - Elsevier
Infinitely many distinct trait values may arise in populations bearing quantitative traits, and
modelling their population dynamics is thus a formidable task. While classical models …
modelling their population dynamics is thus a formidable task. While classical models …
A route to the hydrodynamic limit of a reaction-diffusion master equation using gradient structures
The reaction-diffusion master equation (RDME) is a lattice-based stochastic model for
spatially resolved cellular processes. It is often interpreted as an approximation to spatially …
spatially resolved cellular processes. It is often interpreted as an approximation to spatially …
[HTML][HTML] Using Malliavin calculus to solve a chemical diffusion master equation
A Lanconelli - Journal of Mathematical Analysis and Applications, 2023 - Elsevier
We propose a novel method to solve a chemical diffusion master equation of birth and death
type. This is an infinite system of Fokker-Planck equations where the different components …
type. This is an infinite system of Fokker-Planck equations where the different components …