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Analysis of Cell Cycle Position in Mammalian Cells
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Circular piecewise regression with applications to cell-cycle data.

Cristina Rueda1, Miguel A Fernández1, Sandra Barragán1

  • 1Departamento de Estadística e I.O., Universidad de Valladolid, 47011 Valladolid, Spain.

Biometrics
|March 19, 2016
PubMed
Summary
This summary is machine-generated.

This study introduces a new circular regression model for analyzing gene expression data. The flexible model allows different parameters for various circular sectors, improving analysis of cell-cycle gene phases.

Keywords:
Change pointsCircular dataCircular-circular regressionGene expressionGeneralized AICVon Mises distribution

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Area of Science:

  • Statistics
  • Bioinformatics
  • Genomics

Background:

  • Circular regression models are used in diverse fields, including biology.
  • Analyzing gene expression in oscillatory systems, particularly cell-cycle genes, presents unique challenges.
  • Existing models may not adequately capture phase relationships in genes across species with different periods.

Purpose of the Study:

  • To propose a flexible piecewise circular regression model for analyzing gene expression data.
  • To model the relationships among the phases of cell-cycle genes in two species.
  • To provide a robust methodology for understanding oscillatory gene behavior.

Main Methods:

  • Development of a piecewise circular regression model with sector-specific parameters.
  • Derivation of maximum likelihood estimators for model parameters.
  • Implementation of a model selection procedure using generalized degrees of freedom.

Main Results:

  • The proposed model offers flexibility by allowing different parameters across circular sectors.
  • Maximum likelihood estimators were successfully derived for the model.
  • A model selection procedure was established for choosing optimal model configurations.

Conclusions:

  • The novel circular regression model effectively analyzes cell-cycle gene expression data.
  • The methodology provides a powerful tool for understanding gene phase relationships in oscillatory systems.
  • The approach was validated using two distinct cell-cycle data sets.