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Updated: May 28, 2026

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Published on: August 13, 2012
A growth curve model with fractional polynomials for analysing incomplete time-course data in microarray gene
Qihua Tan1, Mads Thomassen, Jacob V B Hjelmborg
1Department of Clinical Genetics, Odense University Hospital, Sdr. Boulevard 29, 5000 Odense C, Denmark.
This study introduces a novel growth curve model using fractional polynomials to automatically identify gene expression patterns over time in microarray experiments. The method effectively handles missing data and captures complex, nonlinear transcriptional responses.
Area of Science:
- Genomics
- Bioinformatics
- Systems Biology
Background:
- Analyzing time-course gene expression data from microarrays is complex due to the heterogeneity of regulatory responses.
- Manually characterizing individual gene expression patterns over time is infeasible for large-scale experiments.
Purpose of the Study:
- To develop an automated method for capturing diverse time-dependent gene expression patterns in microarray experiments.
- To efficiently handle missing observations in time-course gene expression data.
- To identify transcriptional responses to chemical irritants in human epidermis.
Main Methods:
- A growth curve model incorporating fractional polynomials was developed to automatically model time-course expression patterns.
- The procedure selects the best-fitting fractional polynomial model for each gene from a set of predefined power terms.
- The model was validated through simulations and applied to human in vivo irritated epidermis data with missing observations.
Main Results:
- The proposed method successfully identified various nonlinear time-course gene expression trajectories.
- The model demonstrated effectiveness in handling missing data points within the time-course experiments.
- The approach facilitated the investigation of time-dependent transcriptional responses to a chemical irritant.
Conclusions:
- The integration of growth curves with fractional polynomials offers a flexible approach for modeling diverse time-course gene expression patterns.
- This method provides robust model selection and significant gene identification strategies for microarray time-course experiments, even with missing data.
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