Hotel Estoril Eden, Monte Estoril,
5-8 October 2005



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wo-Gene Interaction Models In Complex Binary Traits

Nuno Sepúlveda1, Carlos Daniel Paulino2  and Carlos Penha-Gonçalves1
Instituto Gulbenkian de Ciência, Portugal
Instituto Superior Técnico, Universidade Técnica de Lisboa, Portugal

Several generalized linear models for penetrance have been used to infer genetic interaction between two genes in complex binary traits. However, such models seem to produce unsatisfactory genetic interpretations, as they do not consider explicitly the genetic behavior of alleles. To address this problem, we propose an allelic penetrance approach for a single diallelic gene that models Mendelian dominance and recessiveness under a reduced penetrance setting. Using this framework, we develop a comprehensive number of statistical models for the joint action of two diallelic genes, where the phenotype-conferring alleles are clearly specified as well as their genetic behavior. For illustrative purposes, we fit these models through Bayesian analysis via Gibbs sampling in data on the susceptibility for experimental cerebral malaria in mice.

Keywords: Binary traits, genetic interaction, allelic penetrance, Gibbs sampling.