1 citations · 1 across the 2 of their papers we have counts for
2 papers
math.PR2020★ 1 cited
A Piecewise Deterministic Limit for a Multiscale Stochastic Spatial Gene Network
Arnaud Debussche, Mac Jugal Nguepedja Nankep
We consider multiscale stochastic spatial gene networks involving chemical reactions and diffusions. The model is Markovian and the transitions are driven by Poisson random clocks.…
math.AP2017
A Law of Large Numbers in the Supremum Norm for a Multiscale Stochastic Spatial Gene Network
Arnaud Debussche, Mac Jugal Nguepedja Nankep
We study the asymptotic behavior of multiscale stochastic spatial gene networks. Multiscaling takes into account the difference of abundance between molecules , and captures the dy…