104 citations · 482 across the 13 of their papers we have counts for
15 papers
Computation of single-cell metabolite distributions using mixture models
Mona K Tonn, Philipp Thomas, Mauricio Barahona +1
Metabolic heterogeneity is widely recognised as the next challenge in our understanding of non-genetic variation. A growing body of evidence suggests that metabolic heterogeneity m…
Stationary distributions of continuous-time Markov chains: a review of theory and truncation-based approximations
Juan Kuntz, Philipp Thomas, Guy-Bart Stan +1
Computing the stationary distributions of a continuous-time Markov chain (CTMC) involves solving a set of linear equations. In most cases of interest, the number of equations is in…
Stochastic modelling reveals mechanisms of metabolic heterogeneity
Mona K. Tonn, Philipp Thomas, Mauricio Barahona +1
Phenotypic variation is a hallmark of cellular physiology. Metabolic heterogeneity, in particular, underpins single-cell phenomena such as microbial drug tolerance and growth varia…
Approximations of countably-infinite linear programs over bounded measure spaces
Juan Kuntz, Philipp Thomas, Guy-Bart Stan +1
We study a class of countably-infinite-dimensional linear programs (CILPs) whose feasible sets are bounded subsets of appropriately defined spaces of measures. The optimal value, o…
The exit time finite state projection scheme: bounding exit distributions and occupation measures of continuous-time Markov chains
Juan Kuntz, Philipp Thomas, Guy-Bart Stan +1
We introduce the exit time finite state projection (ETFSP) scheme, a truncation-based method that yields approximations to the exit distribution and occupation measure associated w…
Rigorous bounds on the stationary distributions of the chemical master equation via mathematical programming
Juan Kuntz, Philipp Thomas, Guy-Bart Stan +1
The stochastic dynamics of biochemical networks are usually modelled with the chemical master equation (CME). The stationary distributions of CMEs are seldom solvable analytically,…