2 citations · 3 across the 4 of their papers we have counts for
4 papers
Mean Field Limits for Stochastic, Underdamped Reactive Langevin Dynamics Models
Samuel A Isaacson, Qianhan Liu, Konstantinos Spiliopoulos
We rigorously derive the effective large-population, mean-field dynamics of particle-based reactive Langevin dynamics (PBRLD) models. These models extend particle-based stochastic…
An Unstructured Mesh Reaction-Drift-Diffusion Master Equation with Reversible Reactions
Samuel A. Isaacson, Ying Zhang
We develop a convergent reaction-drift-diffusion master equation (CRDDME) to facilitate the study of reaction processes in which spatial transport is influenced by drift due to one…
Extending JumpProcess.jl for fast point process simulation with time-varying intensities
Guilherme Augusto Zagatti, Samuel A. Isaacson, Christopher Rackauckas +3
Point processes model the occurrence of a countable number of random points over some support. They can model diverse phenomena, such as chemical reactions, stock market transactio…
Reactive Boundary Conditions as Limits of Interaction Potentials for Brownian and Langevin Dynamics
S. Jonathan Chapman, Radek Erban, Samuel A. Isaacson
A popular approach to modeling bimolecular reactions between diffusing molecules is through the use of reactive boundary conditions. One common model is the Smoluchowski partial ab…