Identifiability analysis for stochastic differential equation models in systems biology
Mathematical models are routinely calibrated to experimental data, with goals ranging from
building predictive models to quantifying parameters that cannot be measured. Whether or …
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
The key processes in biological and chemical systems are described by networks of
chemical reactions. From molecular biology to biotechnology applications, computational …
chemical reactions. From molecular biology to biotechnology applications, computational …
Inference for stochastic chemical kinetics using moment equations and system size expansion
Quantitative mechanistic models are valuable tools for disentangling biochemical pathways
and for achieving a comprehensive understanding of biological systems. However, to be …
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
Hybrid multiscale agent-based models (ABMs) are unique in their ability to simulate
individual cell interactions and microenvironmental dynamics. Unfortunately, the high …
individual cell interactions and microenvironmental dynamics. Unfortunately, the high …
Accuracy of parameter estimation for auto-regulatory transcriptional feedback loops from noisy data
Bayesian and non-Bayesian moment-based inference methods are commonly used to
estimate the parameters defining stochastic models of gene regulatory networks from noisy …
estimate the parameters defining stochastic models of gene regulatory networks from noisy …
Parameter estimation for biochemical reaction networks using Wasserstein distances
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 …
networks by fitting steady-state distributions using Wasserstein distances. We simulate a …
Scalable inference of ordinary differential equation models of biochemical processes
Ordinary differential equation models have become a standard tool for the mechanistic
description of biochemical processes. If parameters are inferred from experimental data …
description of biochemical processes. If parameters are inferred from experimental data …
Generalized method of moments for estimating parameters of stochastic reaction networks
Background Discrete-state stochastic models have become a well-established approach to
describe biochemical reaction networks that are influenced by the inherent randomness of …
describe biochemical reaction networks that are influenced by the inherent randomness of …
Rapid Bayesian inference for expensive stochastic models
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 …
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 …
reaction networks can be described by discrete-state continuous-time Markov chains …