97 citations · 250 across the 15 of their papers we have counts for
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How reaction-diffusion PDEs approximate the large-population limit of stochastic particle models
Samuel A Isaacson, Jingwei Ma, Konstantinos Spiliopoulos
Reaction-diffusion PDEs and particle-based stochastic reaction-diffusion (PBSRD) models are commonly-used approaches for modeling the spatial dynamics of chemical and biological sy…
How Retroactivity Affects the Behavior of Incoherent Feed-Forward Loops
Junmin Wang, Calin Belta, Samuel A. Isaacson
An incoherent feed-forward loop (IFFL) is a network motif known for its ability to accelerate responses and generate pulses. Though functions of IFFLs are well studied, most previo…
Mean Field Limits of Particle-Based Stochastic Reaction-Diffusion Models
Samuel A. Isaacson, Jingwei Ma, Konstantinos Spiliopoulos
Particle-based stochastic reaction-diffusion (PBSRD) models are a popular approach for studying biological systems involving both noise in the reaction process and diffusive transp…