A comparison of deterministic and stochastic approaches for sensitivity analysis in computational systems biology

G Simoni, HT Vo, C Priami… - Briefings in bioinformatics, 2020 - academic.oup.com
With the recent rising application of mathematical models in the field of computational
systems biology, the interest in sensitivity analysis methods had increased. The stochastic …

Variance reduction in stochastic reaction networks using control variates

M Backenköhler, L Bortolussi, V Wolf - … to Thomas A. Henzinger on the …, 2022 - Springer
Monte Carlo estimation in plays a crucial role in stochastic reaction networks. However,
reducing the statistical uncertainty of the corresponding estimators requires sampling a large …

Uniformization techniques for stochastic simulation of chemical reaction networks

CHL Beentjes, RE Baker - The Journal of Chemical Physics, 2019 - pubs.aip.org
This work considers the method of uniformization for continuous-time Markov chains in the
context of chemical reaction networks. Previous work in the literature has shown that …

Multilevel monte carlo for cortical circuit models

ZC Xiao, KK Lin - Journal of Computational Neuroscience, 2022 - Springer
Abstract Multilevel Monte Carlo (MLMC) methods aim to speed up computation of statistics
from dynamical simulations. MLMC is easy to implement and is sometimes very effective, but …

Control variates for stochastic simulation of chemical reaction networks

M Backenköhler, L Bortolussi, V Wolf - Computational Methods in Systems …, 2019 - Springer
Stochastic simulation is a widely used method for estimating quantities in models of
chemical reaction networks where uncertainty plays a crucial role. However, reducing the …

Efficient anticorrelated variance reduction for stochastic simulation of biochemical reactions

VH Thanh - IET systems biology, 2019 - Wiley Online Library
We investigate the computational challenge of improving the accuracy of the stochastic
simulation estimation by inducing negative correlation through the anticorrelated variance …

Analysis of Markovian population processes

M Backenköhler - 2022 - publikationen.sulb.uni-saarland.de
Markovian population models are a powerful paradigm to describe processes of
stochastically interacting agents. Their dynamics is given by a continuous-time Markov …

Stochastic simulation of biochemical systems: In memory of Dan T. Gillespie's contributions

Y Cao, P Linda, E Seitaridou - Bulletin of Mathematical Biology, 2019 - Springer
On April 19, 2017, sad news hit all of us in the research communities of computational
biology, stochastic simulation and applied physics. Our beloved friend, Dan T. Gillespie, a …

Confidence in the dynamic spread of epidemics under biased sampling conditions

J Brunner, N Chia - PeerJ, 2020 - peerj.com
The interpretation of sampling data plays a crucial role in policy response to the spread of a
disease during an epidemic, such as the COVID-19 epidemic of 2020. However, this is a …

Variance reduction techniques for chemical reaction network simulation

C Beentjes - 2020 - ora.ox.ac.uk
In recent decades stochastic models have become an indispensable tool when analysing
quantitative biological data, which are often subject to noise, both from intrinsic and extrinsic …