Approximate bayesian computation for stochastic single-cell time-lapse data using multivariate test statistics

Carolin Loos, Carsten Marr, Fabian J. Theis, Jan Hasenauer

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

5 Scopus citations

Abstract

Stochastic dynamics of individual cells are mostly modeled with continuous time Markov chains (CTMCs). The parameters of CTMCs can be inferred using likelihood-based and likelihood-free methods. In this paper, we introduce a likelihood-free approximate Bayesian computation (ABC) approach for single-cell time-lapse data. This method uses multivariate statistics on the distribution of single-cell trajectories. We evaluated our method for samples of a bivariate normal distribution as well as for artificial equilibrium and non-equilibrium single-cell time-series of a one-stage model of gene expression. In addition, we assessed our method for parameter variability and for the case of tree-structured time-series data. A comparison with an existing method using univariate statistics revealed an improved parameter identifiability using multivariate test statistics.

Original languageEnglish
Title of host publicationComputational Methods in Systems Biology - 13th International Conference, CMSB 2015, Proceedings
EditorsOlivier Roux, Jérémie Bourdon
PublisherSpringer Verlag
Pages52-63
Number of pages12
ISBN (Print)9783319234007
DOIs
StatePublished - 2015
Event13th International Conference on Computational Methods in Systems Biology, CMSB 2015 - Nantes, France
Duration: 16 Sep 201518 Sep 2015

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9308
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference13th International Conference on Computational Methods in Systems Biology, CMSB 2015
Country/TerritoryFrance
CityNantes
Period16/09/1518/09/15

Keywords

  • Approximate Bayesian computation
  • Multivariate test statistics
  • Parameter estimation
  • Single-cell time-series

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