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 …

Moment-based inference predicts bimodality in transient gene expression

C Zechner, J Ruess, P Krenn, S Pelet… - Proceedings of the …, 2012 - National Acad Sciences
Recent computational studies indicate that the molecular noise of a cellular process may be
a rich source of information about process dynamics and parameters. However, accessing …

Scalable inference of heterogeneous reaction kinetics from pooled single-cell recordings

C Zechner, M Unger, S Pelet, M Peter, H Koeppl - Nature methods, 2014 - nature.com
Mathematical methods combined with measurements of single-cell dynamics provide a
means to reconstruct intracellular processes that are only partly or indirectly accessible …

Method of conditional moments (MCM) for the Chemical Master Equation: A unified framework for the method of moments and hybrid stochastic-deterministic models

J Hasenauer, V Wolf, A Kazeroonian… - Journal of mathematical …, 2014 - Springer
The time-evolution of continuous-time discrete-state biochemical processes is governed by
the Chemical Master Equation (CME), which describes the probability of the molecular …

Nonlinear mixed-effects modelling for single cell estimation: when, why, and how to use it

M Karlsson, DLI Janzén, L Durrieu… - BMC systems …, 2015 - Springer
Background Studies of cell-to-cell variation have in recent years grown in interest, due to
improved bioanalytical techniques which facilitates determination of small changes with high …

Identification of cell‐to‐cell heterogeneity through systems engineering approaches

D Lee, A Jayaraman, JSI Kwon - AIChE Journal, 2020 - Wiley Online Library
Cells in a genetically homogeneous cell‐population exhibit a significant degree of
heterogeneity in their responses to an external stimulus. To understand origins and …

Designing experiments to understand the variability in biochemical reaction networks

J Ruess, A Milias-Argeitis… - Journal of The Royal …, 2013 - royalsocietypublishing.org
Exploiting the information provided by the molecular noise of a biological process has
proved to be valuable in extracting knowledge about the underlying kinetic parameters and …

A hierarchical, data-driven approach to modeling single-cell populations predicts latent causes of cell-to-cell variability

C Loos, K Moeller, F Fröhlich, T Hucho, J Hasenauer - Cell Systems, 2018 - cell.com
All biological systems exhibit cell-to-cell variability. Frameworks exist for understanding how
stochastic fluctuations and transient differences in cell state contribute to experimentally …

Uncoupled analysis of stochastic reaction networks in fluctuating environments

C Zechner, H Koeppl - PLoS computational biology, 2014 - journals.plos.org
The dynamics of stochastic reaction networks within cells are inevitably modulated by factors
considered extrinsic to the network such as, for instance, the fluctuations in ribosome copy …

A nonlinear mixed effects approach for modeling the cell-to-cell variability of Mig1 dynamics in yeast

J Almquist, L Bendrioua, CB Adiels, M Goksör… - PloS one, 2015 - journals.plos.org
The last decade has seen a rapid development of experimental techniques that allow data
collection from individual cells. These techniques have enabled the discovery and …