Natural systems are, almost by definition, heterogeneous: this can be either a boon or an
obstacle to be overcome, depending on the situation. Traditionally, when constructing …

Monte Carlo methods are heuristic algorithms that use probabilities to select an outcome
among several possible events in a given process. Monte Carlo methods are useful in …

Non-Markovian models of stochastic biochemical kinetics often incorporate explicit time
delays to effectively model large numbers of intermediate biochemical processes. Analysis …

A reaction network is a chemical system involving multiple reactions and chemical species.
The simplest stochastic models of such networks treat the system as a continuous time …

Modeling and Inverse Problems in the Presence of Uncertainty collects recent research—
including the authors' own substantial projects—on uncertainty propagation and …

Chemical reaction systems with a low to moderate number of molecules are typically
modeled as discrete jump Markov processes. These systems are oftentimes simulated with …

The innate immune system is like a double-edged sword: it is absolutely required for host
defense against infection, but when uncontrolled, it can trigger a plethora of inflammatory …

This paper describes a new approach for ascertaining the stability of stochastic dynamical
systems in their parameter space by examining their time series using topological data …

We present a simple and general framework to simulate statistically correct realizations of a
system of non-Markovian discrete stochastic processes. We give the exact analytical …

Macrophages are versatile immune cells that can detect a variety of pathogen-associated
molecular patterns through their Toll-like receptors (TLRs). In response to microbial …