Skip to main content

A Restricted Model Space Approach for the Detection of Epistasis in Quantitative Trait Loci Using Markov Chain Monte Carlo Model Composition

  • Conference paper
Book cover Agents and Artificial Intelligence (ICAART 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 271))

Included in the following conference series:

  • 921 Accesses

Abstract

Epistasis or the interaction between loci on a genome that controls a quantitative trait is of great interest to geneticists. This work presents a powerful Bayesian method utilizing Markov chain Monte Carlo model composition approach using restricted spaces is developed for identifying epistatic effects in Recombinant Inbred Lines (RIL) in plant studies. This method produces both posterior activation probabilities and posterior conditional activation probabilities. The method is verified through a simulation study and applied to an Arabidopsis thaliana data set with cotyledon as the quantitative trait.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Broman, K.W.: The Genomes of Recombinant Inbred Lines. Genetics 169, 1133–1146 (2005)

    Article  Google Scholar 

  2. Broman, K.W., Speed, T.P.: A model selection approach for the identification of quantitative trait loci in experimental crosses. J.R. Statist. Soc. B 64, 641–656 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  3. Boone, E.L., Ye, K., Smith, E.P.: Assessment of two approximation methods for computing posterior model probabilities. Computational Statistics & Data Analysis 48, 221–234 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  4. Boone, E.L., Simmons, S.J., Ye, K., Stapleton, A.E.: Analyzing quantitative trait loci for the Arabidopsis thaliana using Markov chain monte carlo model composition with restricted and unrestricted model spaces. Statistical Methodology 3, 69–78 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  5. Carlborg, O., Andersson, L., Kinghorn, B.: The Use of a Genetic Algorithm for Simultaneous Mapping of Multiple Interacting Quantitative Trait Loci. Genetics 155, 2003–2010 (2000)

    Google Scholar 

  6. Cockerham, C.: An extension of the concept of partitioning hereditary variance for the analysis of covariances among relatives when epistasis is present. Genetics 39, 859–882 (1954)

    Google Scholar 

  7. Green, P.J.: Reversible jump Markov chain Monte Carlo computation and Bayesian model determination. Biometrika 82, 711–732 (1995)

    Article  MathSciNet  MATH  Google Scholar 

  8. Hanlon, P., Lorenz, A.: A computational method to detect epistatic effects contributing to a quantitative trait. J. Thoer. Biol. 235, 350–364 (2005)

    Article  MathSciNet  Google Scholar 

  9. Hansen, T.F., Wagner, G.P.: Modeling genetic architecture: a multilinear theory of gene interaction. Theor. Popul. Biol. 59, 61–86 (2001)

    Article  MATH  Google Scholar 

  10. Kao, C.H., Zeng, Z.B., Teasdale, R.D.: Multiple Interval Mapping for Quantitative Trait Loci. Genetics 152, 1203–1216 (1999)

    Google Scholar 

  11. Kao, C.H., Zeng, Z.B.: Modeling Epistasis of Quantitative Trait Loci Using Cockerham’s Model. Genetics 160, 1243–1261 (2002)

    Google Scholar 

  12. Wang, T., Zeng, Z.-B.: Models and partition of varieance for quantitative trait loci with epistasis and linkage disequilibrium. BMC Genetics 7, 9 (2006)

    Article  Google Scholar 

  13. Yandell, B.S., Mehta, T., Samprit, B., Shriner, D., Venkataraman, R., Moon, J.Y., Neeley, W.W., Wu, H., von Smith, R., Yi, N.: R/qtlbim: QTL with Bayesian Interval Mapping in experimental crosses. Bioinformatics 23, 641–643 (2007)

    Article  Google Scholar 

  14. Yi, N., Xu, S., Allison, D.B.: Bayesian Model Choice and Search Strategies for Mapping Interacting Quantitative Trait Loci. Genetics 165, 867–883 (2003)

    Google Scholar 

  15. Yi, N., Yandell, B.S., Churchill, G.A., Allison, D.B., Eisen, E.J., Pomp, D.: Bayesian model selection for genome-wide epistatic quantitative trait loci analysis. Genetics 170, 1333–1344 (2005)

    Article  Google Scholar 

  16. Yi, N., Samprit, B., Pomp, D., Yandell, B.S.: Bayesian Mapping of Genomewide Interacting Quantitative Trait Loci for Ordinal Traits. Genetics 176, 1855–1864 (2007)

    Article  Google Scholar 

  17. Yi, N., Shriner, D., Samprit, B., Mehta, T., Pomp, D., Yandell, B.S.: An efficient Bayesian model selection approach for interacting quantitative trait loci models with many effects. Genetics 176, 1865–1877 (2007)

    Article  Google Scholar 

  18. Zeng, Z.-B., Wang, T., Zou, W.: Modeling quantitative trait loci and interpretation of models. Genetics 169, 1711–1725 (2005)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Boone, E.L., Simmons, S.J., Ricanek, K. (2013). A Restricted Model Space Approach for the Detection of Epistasis in Quantitative Trait Loci Using Markov Chain Monte Carlo Model Composition. In: Filipe, J., Fred, A. (eds) Agents and Artificial Intelligence. ICAART 2011. Communications in Computer and Information Science, vol 271. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29966-7_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-29966-7_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29965-0

  • Online ISBN: 978-3-642-29966-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics