4 papers
Koopman Operator Inference for the Chemical Master Equation
Aditya Dendukuri, Linda Petzold
We infer kinetic rates of stochastic reaction networks from molecular-state pairs separated by a fixed time lag, without constructing the large state space of the Chemical Master E…
A clarification of Fermi's formula for the maximum of partial sums
Alessandro Lodi
In Fermi's 1926 note, the expression assigned to the probability that all partial sums remain below a threshold is the complementary crossing probability. We obtain the correct pro…
Flux-Preserving Adaptive Finite State Projection for Multiscale Stochastic Reaction Networks
Aditya Dendukuri, Shivkumar Chandrasekaran, Linda Petzold
The Finite State Projection (FSP) method approximates the Chemical Master Equation (CME) by restricting the dynamics to a finite subset of the (typically infinite) state space, ena…
Adaptive Finite State Projection with Quantile-Based Pruning for Solving the Chemical Master Equation
Aditya Dendukuri, Linda Petzold
We present an adaptive Finite State Projection (FSP) method for efficiently solving the Chemical Master Equation (CME) with rigorous error control. Our approach integrates time-ste…