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A Bayesian random partition model for sequential refinement and coagulation

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  • Carlos Tadeu Pagani Zanini
  • Peter Müller
  • Yuan Ji
  • Fernando A. Quintana

Abstract

We analyze time‐course protein activation data to track the changes in protein expression over time after exposure to drugs such as protein inhibitors. Protein expression is expected to change over time in response to the intervention in different ways due to biological pathways. We therefore allow for clusters of proteins with different treatment effects, and allow these clusters to change over time. As the effect of the drug wears off, protein expression may revert back to the level before treatment. In addition, different drugs, doses, and cell lines may have different effects in altering the protein expression. To model and understand this process we develop random partitions that define a refinement and coagulation of protein clusters over time. We demonstrate the approach using a time‐course reverse phase protein array (RPPA) dataset consisting of protein expression measurements under different drugs, dose levels, and cell lines. The proposed model can be applied in general to time‐course data where clustering of the experimental units is expected to change over time in a sequence of refinement and coagulation.

Suggested Citation

  • Carlos Tadeu Pagani Zanini & Peter Müller & Yuan Ji & Fernando A. Quintana, 2019. "A Bayesian random partition model for sequential refinement and coagulation," Biometrics, The International Biometric Society, vol. 75(3), pages 988-999, September.
  • Handle: RePEc:bla:biomet:v:75:y:2019:i:3:p:988-999
    DOI: 10.1111/biom.13047
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    Cited by:

    1. Antonio Lijoi & Igor Prünster & Giovanni Rebaudo, 2023. "Flexible clustering via hidden hierarchical Dirichlet priors," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 50(1), pages 213-234, March.

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