activity
20112022
most citedOn the Reaction Diffusion Master Equation in the Microscopic Limit

77 citations · 164 across the 9 of their papers we have counts for

collaborators

12 papers

q-bio.QM2022

BioSimulators: a central registry of simulation engines and services for recommending specific tools

Bilal Shaikh, Lucian P. Smith, Dan Vasilescu +68

Computational models have great potential to accelerate bioscience, bioengineering, and medicine. However, it remains challenging to reproduce and reuse simulations, in part, becau…

stat.ML2021

Robust and integrative Bayesian neural networks for likelihood-free parameter inference

Fredrik Wrede, Robin Eriksson, Richard Jiang +4

State-of-the-art neural network-based methods for learning summary statistics have delivered promising results for simulation-based likelihood-free parameter inference. Existing ap…

stat.CO2019★ 2 cited

Implicit Hamiltonian Monte Carlo for Sampling Multiscale Distributions

Arya A. Pourzanjani, Linda R. Petzold

Hamiltonian Monte Carlo (HMC) has been widely adopted in the statistics community because of its ability to sample high-dimensional distributions much more efficiently than other M…

stat.CO2019★ 3 cited

Selecting the Metric in Hamiltonian Monte Carlo

Ben Bales, Arya Pourzanjani, Aki Vehtari +1

We present a selection criterion for the Euclidean metric adapted during warmup in a Hamiltonian Monte Carlo sampler that makes it possible for a sampler to automatically pick the…

math.NA2017

Mesoscopic-microscopic spatial stochastic simulation with automatic system partitioning

Stefan Hellander, Andreas Hellander, Linda Petzold

The reaction-diffusion master equation (RDME) is a model that allows for efficient on-lattice simulation of spatially resolved stochastic chemical kinetics. Compared to off-lattice…

cs.CE2016

Research and Education in Computational Science and Engineering

Ulrich Rüde, Karen Willcox, Lois Curfman McInnes +30

Over the past two decades the field of computational science and engineering (CSE) has penetrated both basic and applied research in academia, industry, and laboratories to advance…

math.NA2016★ 9 cited

Reaction rates for reaction-diffusion kinetics on unstructured meshes

Stefan Hellander, Linda Petzold

The reaction-diffusion master equation is a stochastic model often utilized in the study of biochemical reaction networks in living cells. It is applied when the spatial distributi…

cs.CE2015

MOLNs: A cloud platform for interactive, reproducible and scalable spatial stochastic computational experiments in systems biology using PyURDME

Brian Drawert, Michael Trogdon, Salman Toor +2

Computational experiments using spatial stochastic simulations have led to important new biological insights, but they require specialized tools, a complex software stack, as well…

math.NA2015★ 12 cited

Reaction rates for a generalized reaction-diffusion master equation

Stefan Hellander, Linda Petzold

It has been established that there is an inherent limit to the accuracy of the reaction-diffusion master equation. Specifically, there exists a fundamental lower bound on the mesh…

math.NA2014★ 42 cited

Reaction rates for mesoscopic reaction-diffusion kinetics

Stefan Hellander, Andreas Hellander, Linda Petzold

The mesoscopic reaction-diffusion master equation (RDME) is a popular modeling framework, frequently applied to stochastic reaction-diffusion kinetics in systems biology. The RDME…

math.NA2013★ 19 cited

Local error estimates for adaptive simulation of the Reaction-Diffusion Master Equation via operator splitting

Andreas Hellander, Michael Lawson, Brian Drawert +1

The efficiency of exact simulation methods for the reaction-diffusion master equation (RDME) is severely limited by the large number of diffusion events if the mesh is fine or if d…

math.NA2011★ 77 cited

On the Reaction Diffusion Master Equation in the Microscopic Limit

Stefan Hellander, Andreas Hellander, Linda Petzold

Stochastic modeling of reaction-diffusion kinetics has emerged as a powerful theoretical tool in the study of biochemical reaction networks. Two frequently employed models are the…