Markovian dynamics on complex reaction networks

J Goutsias, G Jenkinson - Physics reports, 2013 - Elsevier
Complex networks, comprised of individual elements that interact with each other through
reaction channels, are ubiquitous across many scientific and engineering disciplines …

A constrained Langevin approximation for chemical reaction networks

SC Leite, RJ Williams - 2019 - projecteuclid.org
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 …

On constrained Langevin equations and (bio) chemical reaction networks

DF Anderson, DJ Higham, SC Leite, RJ Williams - Multiscale Modeling & …, 2019 - SIAM
Stochastic effects play an important role in modeling the time evolution of chemical reaction
systems in fields such as systems biology, where the concentrations of some constituent …

Exploring stochastic models for the dynamics of biochemical reactions/eingereicht von Youssra Souli

Y Souli - 2023 - epub.jku.at
This thesis consists of several contributions to the numerical analysis of stochastic
differential equations (SDEs) and their statistics, illustrated with biochemical models and a …

[PDF][PDF] METHODS FOR COMPUTATION AND ANALYSIS OF MARKOVIAN DYNAMICS ON COMPLEX NETWORKS

WG Jenkinson - 2013 - jscholarship.library.jhu.edu
A problem central to many scientific and engineering disciplines is how to deal with noisy
dynamic processes that take place on networks. Examples include the ebb and flow of …