Automated Generation of Conditional Moment Equations for Stochastic Reaction Networks

Research output: Contribution to book/Conference proceedings/Anthology/ReportConference contributionContributedpeer-review

Contributors

  • Hanna Josephine Wiederanders - , Center for Systems Biology Dresden (CSBD), Max Planck Institute of Molecular Cell Biology and Genetics (Author)
  • Anne Lena Moor - , Center for Systems Biology Dresden (CSBD), Max Planck Institute of Molecular Cell Biology and Genetics (Author)
  • Christoph Zechner - , Center for Systems Biology Dresden (CSBD), Max Planck Institute of Molecular Cell Biology and Genetics, TUD Dresden University of Technology, Clusters of Excellence PoL: Physics of Life (Author)

Abstract

The dynamics of biochemical reaction networks require a stochastic description when copy number fluctuations become significant. Such description is provided by moment equations that capture the statistical properties of the involved molecular components such as their average abundance and variability. Certain applications require a special form of moment equations, where the statistics of some components are described conditionally on complete trajectories of other components. Typical examples include information theoretical analyses of biochemical networks, model reduction and subnetwork simulation, or statistical inference where time-varying molecular signals are inferred from counting observations. These conditional moment equations have so far been limited to relatively simple reaction systems as their manual derivation becomes difficult for systems involving many components and interactions. Here, we present a Python tool for the automated derivation of moment equations conditional on complete time trajectories for arbitrary user-defined reaction systems and showcase its utility in the context of subnetwork simulation. With this automated tool, conditional moment equations become applicable to a broad class of biochemical systems.

Details

Original languageEnglish
Title of host publicationComputational Methods in Systems Biology - 20th International Conference, CMSB 2022, Proceedings
EditorsIon Petre, Andrei Păun
PublisherSpringer Science and Business Media B.V.
Pages286-293
Number of pages8
ISBN (print)9783031150333
Publication statusPublished - 2022
Peer-reviewedYes

Publication series

SeriesLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume13447 LNBI
ISSN0302-9743

Conference

Title20th International Conference on Computational Methods in Systems Biology
Abbreviated titleCMSB 2022
Conference number20
Duration14 - 16 September 2022
LocationUniversity of Bucharest
CityBucharest
CountryRomania

Keywords

Keywords

  • Conditional moments, Moment generator, Stochastic biochemical networks