A Bayesian algorithm for functional mapping of dynamic complex traits

Tian Liu, Rongling Wu

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Functional mapping of dynamic traits measured in a longitudinal study was originally derived within the maximum likelihood (ML) context and implemented with the EM algorithm. Although ML-based functional mapping possesses many favorable statistical properties in parameter estimation, it may be computationally intractable for analyzing longitudinal data with high dimensions and high measurement errors. In this article, we derive a general functional mapping framework for quantitative trait locus mapping of dynamic traits within the Bayesian paradigm. Markov chain Monte Carlo techniques were implemented for functional mapping to estimate biologically and statistically sensible parameters that model the structures of time-dependent genetic effects and covariance matrix. The Bayesian approach is useful to handle difficulties in constructing confidence intervals as well as the identifiability problem, enhancing the statistical inference of functional mapping. We have undertaken simulation studies to investigate the statistical behavior of Bayesian-based functional mapping and used a real example with F 2 mice to validate the utilization and usefulness of the model.

Original languageEnglish (US)
Pages (from-to)667-691
Number of pages25
JournalAlgorithms
Volume2
Issue number2
DOIs
StatePublished - Jun 1 2009

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Complex Dynamics
Maximum likelihood
Maximum Likelihood
Quantitative Trait Loci
Monte Carlo Techniques
Longitudinal Study
Identifiability
Longitudinal Data
EM Algorithm
Covariance matrix
Markov Chain Monte Carlo
Statistical Inference
Measurement errors
Bayesian Approach
Measurement Error
Parameter estimation
Markov processes
Statistical property
Higher Dimensions
Confidence interval

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Numerical Analysis
  • Computational Theory and Mathematics
  • Computational Mathematics

Cite this

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A Bayesian algorithm for functional mapping of dynamic complex traits. / Liu, Tian; Wu, Rongling.

In: Algorithms, Vol. 2, No. 2, 01.06.2009, p. 667-691.

Research output: Contribution to journalArticle

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