For a function g (h), we write g (h)= O (hp) to mean that there exist constants h0> 0 and K> 0
(independent of h) such that| g (h)|< Khp for all| h|< h0. In words, this means that g (h) tends …

For many stochastic models of interest in systems biology, such as those describing
biochemical reaction networks, exact quantification of parameter uncertainty through …

Abstract We study reflected McKean–Vlasov diffusions over a convex, non-bounded domain
with self-stabilising coefficients that do not satisfy the classical Wasserstein Lipschitz …

We introduce Catalyst. jl, a flexible and feature-filled Julia library for modeling and high
performance simulation of chemical reaction networks (CRNs). Catalyst acts as both a …

Most biochemical reactions in living cells are open systems interacting with environment
through chemostats to exchange both energy and materials. At a mesoscopic scale, the …

We introduce Catalyst. jl, a flexible and feature-filled Julia library for modeling and high-
performance simulation of chemical reaction networks (CRNs). Catalyst supports simulating …

Continuous-time Markov chain models are often used to describe the stochastic dynamics of
networks of reacting chemical species, especially in the growing field of systems biology …

The performance of a communication link can be improved by maximizing the mutual
information between the input and output signals. This paper considers this maximization …

We show that discrete distributions on the d-dimensional non-negative integer lattice can be
approximated arbitrarily well via the marginals of stationary distributions for various classes …

A simple-to-implement weak-sense numerical method to approximate reflected stochastic
differential equations (RSDEs) is proposed and analysed. It is proved that the method has …