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A statistical model for functional mapping of quantitative trait loci regulating drug response

ABSTRACT

Differential drug response, that is, pharmacodynamics, is most often likely to be a complex trait, controlled by the combined influences of multiple genes and environmental influences. Genetic mapping has proven to be a powerful tool for detecting and identifying specific genes affecting complex traits, that is, quantitative trait loci (QTL), based on polymorphic markers. In this article, we present a novel statistical model for genetic mapping of QTL governing pharmacodynamic processes. In principle, this model is a combination of functional mapping proposed to map function-valued traits and linkage disequilibrium mapping designed to provide high-resolution mapping of QTL by making use of recombination events created at a historic time. We implement a closed-form solution for the Expectation-Maximization algorithm to estimate the population genetic parameters of QTL and the simplex algorithm to estimate the curve parameters describing the pharmacodynamic changes of different QTL genotypes in response to drug dose or concentrations. Extensive simulations are performed to investigate the statistical properties of our model. The implications of our model in pharmacogenetic and pharmacogenomic research are discussed.

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References

  1. Nebert DW . Polymorphisms in drug-metabolizing enzymes: what is their clinical relevance and why do they exist? Am J Hum Genet 1997; 60: 265–271.

    CAS  PubMed  PubMed Central  Google Scholar 

  2. Evans WE, Relling MV . Pharmacogenomics: translating functional genomics into rational therapeutics. Science 1999; 286: 487–491.

    Article  CAS  PubMed  Google Scholar 

  3. Evans WE, Johnson JA . Pharmacogenomics: the inherited basis for interindividual differences in drug response. Annu Rev Genomics Hum Genet 2001; 2: 9–39.

    Article  CAS  PubMed  Google Scholar 

  4. Watters JW, McLeod HL . Using genome-wide mapping in the mouse to identify genes that influence drug response. Trends Pharmacolog Sci 2003; 24: 55–58.

    Article  CAS  Google Scholar 

  5. Wu RL, Ma C-X, Chang M, Littell RC, Wu SS, Yin TM et al. A logistic mixture model for characterizing genetic determinants causing differentiation in growth trajectories. Genet Res 2002; 19: 235–245.

    Google Scholar 

  6. Wu RL, Ma C-X, Yang MCK, Chang M, Santra U, Wu SS et al. Quantitative trait loci for growth in Populus. Genet Res 2003; 81: 51–64.

    Article  CAS  PubMed  Google Scholar 

  7. Wu RL, Ma C-X, Zhao W, Casella G . Functional mapping of quantitative trait loci underlying growth rates: a parametric model. Physiol Genomics 2003; 14: 241–249.

    Article  CAS  PubMed  Google Scholar 

  8. Wu RL, Ma C-X, Lin M, Casella G . A general framework for analyzing the genetic architecture of developmental characteristics. Genetics 2004; 166: 1541–1551.

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  9. Wu RL, Ma C-X, Lin M, Wang Z, Casella G . Functional mapping of quantitative trait loci underlying growth trajectories using a transform-both-sides logistic model. Biometrics 2004; 60: 729–738.

    Article  PubMed  Google Scholar 

  10. Ma C-X, Casella G, Wu RL . Functional mapping of quantitative trait loci underlying the character process: a theoretical framework. Genetics 2002; 161: 1751–1762.

    PubMed  PubMed Central  Google Scholar 

  11. Wu RL, Casella G . Statistical Genomics of Complex Traits: A Quantitative Trait Loci Perspective. Springer: New York 2005; (in press).

    Google Scholar 

  12. Lou X-Y, Casella G, Littell RC, Yang MKC, Wu RL . A haplotype-based algorithm for multilocus linkage disequilibrium mapping of quantitative trait loci with epistasis in natural populations. Genetics 2003; 163: 1533–1548.

    CAS  PubMed  PubMed Central  Google Scholar 

  13. Giraldo J . Empirical models and Hill coefficients. Trends Pharmacolog Sci 2003; 24: 63–65.

    Article  CAS  Google Scholar 

  14. Lander ES, Botstein D . Mapping Mendelian factors underlying quantitative traits using RELP linkage maps. Genetics 1989; 121: 185–199.

    CAS  PubMed  PubMed Central  Google Scholar 

  15. Wu RL, Ma C-X, Casella G . Joint linkage and linkage disequilibrium mapping of quantitative trait loci in natural populations. Genetics 2002; 160: 779–792.

    CAS  PubMed  PubMed Central  Google Scholar 

  16. Carroll RJ, Ruppert D . Power-transformations when fitting theoretical models to data. J Am Stat Assoc 1984; 79: 321–328.

    Article  Google Scholar 

  17. Zhao W, Wu RL, Ma C-X, Casella G . A fast algorithm for functional mapping of complex traits. Genetics 2004; (accepted).

  18. Nelder JA, Mead R . A simplex method for function minimization. Computer J 1965; 7: 308–313.

    Article  Google Scholar 

  19. Churchill GA, Doerge RW . Empirical threshold values for quantitative trait mapping. Genetics 1994; 138: 963–971.

    CAS  PubMed  PubMed Central  Google Scholar 

  20. Lynch M, Walsh B . Genetics and Analysis of Quantitative Traits. Sinauer: Sunderland, MA 1998.

    Google Scholar 

  21. Sowinski KM, Burlew BS, Johnson JA . Racial differences in sensitivity to the negative chronotropic effects of propranolol in healthy men. Clin Pharm Therap 1995; 57: 678–683.

    Article  CAS  PubMed  Google Scholar 

  22. Wilson JF, Weale ME, Smith AC, Gratrix F, Fletcher B, Thomas MG et al. Population genetic structure of variable drug response. Nat Genet 2001; 29: 265–269.

    Article  CAS  PubMed  Google Scholar 

  23. Kruglyak L . Prospects for whole-genome linkage disequilibrium mapping of common disease genes. Nat Genet 1999; 22: 139–144.

    Article  CAS  PubMed  Google Scholar 

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Correspondence to R Wu.

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Gong, Y., Wang, Z., Liu, T. et al. A statistical model for functional mapping of quantitative trait loci regulating drug response. Pharmacogenomics J 4, 315–321 (2004). https://doi.org/10.1038/sj.tpj.6500262

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