Stochastic fluctuations of molecule numbers are ubiquitous in biological systems. Important
examples include gene expression and enzymatic processes in living cells. Such systems …

Stochastic chemical kinetics describes the time evolution of a well-stirred chemically
reacting system in a way that takes into account the fact that molecules come in whole …

This paper presents the Neural Network Verification (NNV) software tool, a set-based
verification framework for deep neural networks (DNNs) and learning-enabled cyber …

In this paper, the possibility is explored to speed up Hartree–Fock and hybrid density
functional calculations by forming the Coulomb and exchange parts of the Fock matrix by …

Noise permeates biology on all levels, from the most basic molecular, sub-cellular
processes to the dynamics of tissues, organs, organisms and populations. The functional …

This article introduces the finite state projection (FSP) method for use in the stochastic
analysis of chemically reacting systems. One can describe the chemical populations of such …

We outline our perspective on stochastic chemical kinetics, paying particular attention to
numerical simulation algorithms. We first focus on dilute, well-mixed systems, whose …

A comparison study of the efficiency and accuracy of a variety of meshless trial and test
functions is presented in this paper, based on the general concept of the meshless local …

The microscopic spatial kinetic Monte Carlo (KMC) method has been employed extensively
in materials modeling. In this review paper, we focus on different traditional and multiscale …

Many students are familiar with the idea of modeling chemical reactions in terms of ordinary
differential equations. However, these deterministic reaction rate equations are really a …