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High-dimensional Bayesian parameter estimation: Case study for a model of JAK2/STAT5 signaling

Hug, S. (author)
Helmholtz Zentrum Munchen, Germany Technical University of Munich, Germany
Raue, A. (author)
Helmholtz Zentrum Munchen, Germany University of Freiburg, Germany
Hasenauer, J. (author)
Helmholtz Zentrum Munchen, Germany
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Bachmann, J. (author)
German Cancer Research Centre, Germany
Klingmueller, U. (author)
German Cancer Research Centre, Germany
Timmer, Jens (author)
Linköpings universitet,Avdelningen för cellbiologi,Hälsouniversitetet
Theis, F .J. (author)
Helmholtz Zentrum Munchen, Germany Technical University of Munich, Germany
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 (creator_code:org_t)
Elsevier, 2013
2013
English.
In: Mathematical Biosciences. - : Elsevier. - 0025-5564 .- 1879-3134. ; 246:2, s. 293-304
  • Journal article (peer-reviewed)
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  • In this work we present results of a detailed Bayesian parameter estimation for an analysis of ordinary differential equation models. These depend on many unknown parameters that have to be inferred from experimental data. The statistical inference in a high-dimensional parameter space is however conceptually and computationally challenging. To ensure rigorous assessment of model and prediction uncertainties we take advantage of both a profile posterior approach and Markov chain Monte Carlo sampling. We analyzed a dynamical model of the JAK2/STAT5 signal transduction pathway that contains more than one hundred parameters. Using the profile posterior we found that the corresponding posterior distribution is bimodal. To guarantee efficient mixing in the presence of multimodal posterior distributions we applied a multi-chain sampling approach. The Bayesian parameter estimation enables the assessment of prediction uncertainties and the design of additional experiments that enhance the explanatory power of the model. This study represents a proof of principle that detailed statistical analysis for quantitative dynamical modeling used in systems biology is feasible also in high-dimensional parameter spaces.

Keyword

Parameter estimation; Bayesian inference; Profile likelihood; Cellular signal transduction pathways; Ordinary differential equation models
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