Maintenance of steady-state mRNA levels by a microRNA-based feed forward loop in the presence of stochastic gene expression noise

I Zabaikina, P Bokes - European Journal of Applied Mathematics, 2025 - cambridge.org
All vital functions of living cells rely on the production of various functional molecules
through gene expression. The production periods are burst-like and stochastic due to the …

A unified framework for limit results in chemical reaction networks on multiple time-scales

T Enger, P Pfaffelhuber - Electronic Journal of Probability, 2023 - projecteuclid.org
Abstract If (XN) N= 1, 2,... is a sequence of Markov processes which solve the martingale
problems for some operators (GN) N= 1, 2,..., it is a classical task to derive a limit result as …

Asymptotic analysis for stationary distributions of scaled reaction networks

L Hoessly, C Wiuf, P **a - arxiv preprint arxiv:2402.02276, 2024 - arxiv.org
We study stationary distributions in the context of stochastic reaction networks. In particular,
we are interested in complex balanced reaction networks and reduction of such networks by …

Fast reactions with non-interacting species in stochastic reaction networks

L Hoessly, C Wiuf - arxiv preprint arxiv:2110.13235, 2021 - arxiv.org
We consider stochastic reaction networks modeled by continuous-time Markov chains. Such
reaction networks often contain many reactions, potentially occurring at different time scales …

The Role of Respiration in Maintaining Carbon Balance during Growth at Elevated CO2 in Nicotiana tabacum

A Chadee - 2023 - search.proquest.com
Atmospheric CO 2 continues to rise to levels never seen before. This increase in CO 2 is
beneficial for plant growth as CO 2 is a key substrate for photosynthesis, ultimately resulting …