Abstract
Although genome-wide association studies (GWAS) are widely used to identify the genetic and environmental etiology of a trait, several key issues related to their statistical power and biological relevance have remained unexplored. Here, we describe a novel statistical approach, called functional GWAS or fGWAS, to analyze the genetic control of traits by integrating biological principles of trait formation into the GWAS framework through mathematical and statistical bridges. fGWAS can address many fundamental questions, such as the patterns of genetic control over development, the duration of genetic effects, as well as what causes developmental trajectories to change or stop changing. In statistics, fGWAS displays increased power for gene detection by capitalizing on cumulative phenotypic variation in a longitudinal trait over time and increased robustness for manipulating sparse longitudinal data.
Similar content being viewed by others
References
Altshuler D, Daly MJ, Lander ES (2008) Genetic mapping in human disease. Science 322:881–888
Anholt RRH, Mackay TFC (2004) Genetic analysis of complex behaviors in Drosophila. Nat Rev Genet 5:838–849
Atchley WR, Zhu J (1997) Developmental quantitative genetics, conditional epigenetic variability and growth in mice. Genetics 147:765–776
Bock RD, Thissen D (1976) Fitting multi-component models for growth in stature. In: Proceedings of the 9th international biometrics conference, vol 1, pp 431–442
Bogardus C (2009) Missing heritability and GWAS utility. Obesity 17:209–210
Cui Y, Zhu J, Wu RL (2006) Functional mapping for genetic control of programmed cell death. Physiol Genomics 25:458–469
Dawber TR, Meadors GF, Moore FE Jr (1951) Epidemiological approaches to heart disease: the Framingham Study. Am J Public Health Nations Health 41:279–286
Fan J, Wu Y (2008) Semiparametric estimation of covariance matrixes for longitudinal data. J Am Stat Assoc 103:1520–1533
Fan J, Huang T, Li R (2007) Analysis of longitudinal data with semiparametric estimation of covariance function. J Am Stat Assoc 102:632–641
Fox CS, Heard-Costa N, Cupples LA, Dupuis J, Vasan RS et al (2007) Genome-wide association to body mass index and waist circumference: the Framingham Heart Study 100K project. BMC Med Genet 8(Suppl 1):S18
Frayling TM (2007) Genome-wide association studies provide new insights into type 2 diabetes aetiology. Nat Rev Genet 8:657–662
Frayling TM, Timpson NJ, Weedon MN, Zeggini E, Freathy RM et al (2007) A common variant in the FTO gene is associated with body mass index and predisposes to childhood and adult obesity. Science 316:889–894
Guiot C, Degiorgis PG, Delsanto PP, Gabriele P, Deisboeck TS (2003) Does tumor growth follow a ‘‘universal law’’? J Theor Biol 225:147–151
Guiot C, Delsanto PP, Carpinteri A, Pugno N, Mansury Y, Deisboeck TS (2006) The dynamic evolution of the power exponent in a universal growth model of tumors. J Theor Biol 240:459–463
He QL, Berg A, Li Y, Vallejos CE, Wu RL (2010) Modeling genes for plant structure, development and evolution: functional mapping meets plant ontology. Trends Genet 26:39–46
Hirschhorn JN (2009) Genomewide association studies—illuminating biologic pathways. New Engl J Med 360:1699–1701
Hirschhorn JN, Lettre G (2009) Progress in genome-wide association studies of human height. Horm Res 71:5–13
Huskova M, Sen PK (1985) On sequentially adaptive asymptotically efficient rank statistics. Seq Anal 4:125–151
Ikram MA, Seshadri S, Bis JC, Fornage M, DeStefano AL et al (2009) Genomewide association studies of stroke. New Engl J Med 360:1718–1728
Jaquish C (2007) The Framingham Heart Study, on its way to becoming the gold standard for cardiovascular genetic epidemiology? BMC Med Genet 8:63
Kacser H, Burns JA (1981) The molecular basis of dominance. Genetics 97:639–666
Keightley PD, Kacser H (1987) Dominance, pleiotropy and metabolic structure. Genetics 117:319–329
Kirkpatrick M, Hill W, Thompson R (1994a) Estimating the covariance structure of traits during growth and ageing, illustrated with lactation in dairy cattle. Genet Res 64:57–69
Kirkpatrick M, Lofsvold D, Bulmer M (1994b) Analysis of the inheritance, selection and evolution of growth trajectories. Genetics 124:979–993
Lettre G, Rioux JD (2008) Autoimmune diseases: insights from genome-wide association studies. Hum Mol Genet 17:R116–R121
Li N, McMurry T, Berg A, Wang Z, Berceli SA, Wu RL (2001) Functional clustering of periodic transcriptional profiles through ARMA(p,q). PLoS One 5(4):e9894
Lin M, Wu RL (2006) A joint model for nonparametric functional mapping of longitudinal trajectories and time-to-events. BMC Bioinformatics 7(1):138
Loos RJ, Lindgren CM, Li S, Wheeler E, Zhao JH et al (2008) Common variants near MC4R are associated with fat mass, weight and risk of obesity. Nat Genet 40:768–775
Luedi PP, Hartemink AJ, Jirtle RL (2005) Genome-wide prediction of imprinted murine genes. Genome Res 15:875–884
Ma CX, Casella G, Wu RL (2002) Functional mapping of quantitative trait loci underlying the character process: a theoretical framework. Genetics 161:1751–1762
Manolio TA, Collins FS, Cox NJ, Goldstein DB, Hindorff LA et al (2009) Finding the missing heritability of complex diseases. Nature 461:747–753
McCarroll SA, Kuruvilla FG, Korn JM et al (2008) Integrated detection and population-genetic analysis of SNPs and copy number variation. Nat Genet 40:1166–1174
Mckay MD (1997) Non-parametric variance based methods for assessing uncertainty importance. Reliab Eng Syst Saf 57:267–279
Meyer K (2000) Random regressions to model phenotypic variation in monthly weights of Australian beef cows. Livest Prod Sci 65:19–38
Mohlke KL, Boehnke M, Abecasis GR (2008) Metabolic and cardiovascular traits: an abundance of recently identified common genetic variants. Hum Mol Genet 17:R102–R108
Pletcher SD, Geyer CJ (1999) The genetic analysis of age-dependent traits: modeling the character process. Genetics 151:825–835
Psychiatric GCCC (2009) Genomewide association studies: history, rationale, and prospects for psychiatric disorders. Am J Psychiatry 166:540–556
Richards FJ (1959) A flexible growth function for empirical use. J Exp Bot 10:290–300
Scuteri A, Sanna S, Chen WM, Uda M, Albai G et al (2007) Genome-wide association scan shows genetic variants in the FTO gene are associated with obesity-related traits. PLoS Genet 3(7):e115
Shete S, Hosking FJ, Robertson LB et al (2009) Genome-wide association study identifies five susceptibility loci for glioma. Nat Genet 41:899–904
Styrkarsdottir U, Halldorsson BV, Gretarsdottir S, Gudbjartsson DF, Walters GB et al (2009) New sequence variants associated with bone mineral density. Nat Genet 41:15–17
Thompson P, Thompson PJL (2009) Introduction to coaching theory. Meyer & Meyer Sport, UK
Turnbull C, Ahmed S, Morrison J, Pernet D, Renwick A et al (2010) Genome-wide association study identifies five new breast cancer susceptibility loci. Nat Genet 42:504–507
von Bertalanffy L (1957) Quantitative laws for metabolism and growth. Q Rev Biol 32:217–231
West GB, Brown JH, Enquist BJ (2001) A general model for ontogenetic growth. Nature 413:628–631
Wu RL, Lin M (2006) Functional mapping—how to study the genetic architecture of dynamic complex traits. Nat Rev Genet 7:229–237
Yang J, Wu RL, Casella G (2009) Nonparametric functional mapping of quantitative trait loci. Biometrics 65:30–39
Zhao W, Chen YQ, Casella G, Cheverud JM, Wu R (2005) A non-stationary model for functional mapping of complex traits. Bioinformatics 21:2469–2477
Zimmerman D, Núñez-Antón V (2001) Parametric modelling of growth curve data: an overview (with discussions). Test 10:1–73
Acknowledgments
This work is partially supported by grant DMS/NIGMS-0540745 to RW and NIDA, NIH grants R21 DA024260 and R21 DA024266 to RL. The content is solely the responsibility of the authors and does not necessarily represent the official views of the NIDA or the NIH.
Author information
Authors and Affiliations
Corresponding author
Additional information
K. Das and J. Li contributed equally to this work.
Electronic supplementary material
Below is the link to the electronic supplementary material.
Rights and permissions
About this article
Cite this article
Das, K., Li, J., Wang, Z. et al. A dynamic model for genome-wide association studies. Hum Genet 129, 629–639 (2011). https://doi.org/10.1007/s00439-011-0960-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00439-011-0960-6