Identifiability analysis for stochastic differential equation models in systems biology

AP Browning, DJ Warne, K Burrage… - Journal of the …, 2020 - royalsocietypublishing.org
Mathematical models are routinely calibrated to experimental data, with goals ranging from
building predictive models to quantifying parameters that cannot be measured. Whether or …

Comprehensive review of models and methods for inferences in bio-chemical reaction networks

P Loskot, K Atitey, L Mihaylova - Frontiers in genetics, 2019 - frontiersin.org
The key processes in biological and chemical systems are described by networks of
chemical reactions. From molecular biology to biotechnology applications, computational …

Inference for stochastic chemical kinetics using moment equations and system size expansion

F Fröhlich, P Thomas, A Kazeroonian… - PLoS computational …, 2016 - journals.plos.org
Quantitative mechanistic models are valuable tools for disentangling biochemical pathways
and for achieving a comprehensive understanding of biological systems. However, to be …

Bayesian calibration of a stochastic, multiscale agent-based model for predicting in vitro tumor growth

EABF Lima, D Faghihi, R Philley, J Yang… - PLoS Computational …, 2021 - journals.plos.org
Hybrid multiscale agent-based models (ABMs) are unique in their ability to simulate
individual cell interactions and microenvironmental dynamics. Unfortunately, the high …

Accuracy of parameter estimation for auto-regulatory transcriptional feedback loops from noisy data

Z Cao, R Grima - Journal of The Royal Society Interface, 2019 - royalsocietypublishing.org
Bayesian and non-Bayesian moment-based inference methods are commonly used to
estimate the parameters defining stochastic models of gene regulatory networks from noisy …

Parameter estimation for biochemical reaction networks using Wasserstein distances

K Öcal, R Grima, G Sanguinetti - Journal of Physics A …, 2019 - iopscience.iop.org
We present a method for estimating parameters in stochastic models of biochemical reaction
networks by fitting steady-state distributions using Wasserstein distances. We simulate a …

Scalable inference of ordinary differential equation models of biochemical processes

F Fröhlich, C Loos, J Hasenauer - Gene regulatory networks: methods and …, 2019 - Springer
Ordinary differential equation models have become a standard tool for the mechanistic
description of biochemical processes. If parameters are inferred from experimental data …

Generalized method of moments for estimating parameters of stochastic reaction networks

A Lück, V Wolf - BMC systems biology, 2016 - Springer
Background Discrete-state stochastic models have become a well-established approach to
describe biochemical reaction networks that are influenced by the inherent randomness of …

Rapid Bayesian inference for expensive stochastic models

DJ Warne, RE Baker, MJ Simpson - Journal of Computational and …, 2022 - Taylor & Francis
Almost all fields of science rely upon statistical inference to estimate unknown parameters in
theoretical and computational models. While the performance of modern computer hardware …

Model reconstruction for moment-based stochastic chemical kinetics

A Andreychenko, L Mikeev, V Wolf - ACM Transactions on Modeling and …, 2015 - dl.acm.org
Based on the theory of stochastic chemical kinetics, the inherent randomness of biochemical
reaction networks can be described by discrete-state continuous-time Markov chains …