A compact result for the time-dependent probability of fixation at a neutral locus

A result is derived, in the form of a sum, for the time-dependent probability of fixation of an unlinked neutral locus. The result captures many of the key features of the probability of fixation in a highly compact form. For ‘small’ times (t?4N_e) a single term of the sum accurately determines the time-dependent probability of fixation. This is in contrast to the well-known result of Kimura, which requires the contribution of many terms in a different sum, for ‘small’ times. Going beyond small times, an approximation is derived for the time-dependent probability of fixation which applies for all times when the initial relative allele frequency is small.     

Identification of genotype at the sex-determining locus in the honeybee

Genotype at the sex-determining locus in the honeybee, Apis mellifera, is identified by brood viability levels.     

Estimating a nucleotide substitution rate for maize from polymorphism at a major domestication locus

To estimate a rate for single nucleotide substitutions for maize (Zea mays ssp. mays), we have taken advantage of data from genetic and archaeological studies of the domestication of maize from its wild ancestor, teosinte (Z. mays ssp. parviglumis). Genetic studies have shown that the teosinte branched1 (tb1) gene was a major target of human selection during maize domestication, and sequence diversity in the intergenic region 5' to the tb1-coding sequence is extraordinarily low. We show that polymorphism in this region is consistent with new mutation following fixation for a small number of tb1 haplotypes during domestication. Archeological studies suggest that maize was domesticated approximately 6,250-10,000 years ago and subsequently the size of the maize population is thought to have expanded rapidly. Using the observed number of mutations within the region of selection at tb1, the approximate age of maize domestication, and approximations for the maize genealogy, we have derived estimates for the nucleotide substitution rate for the tb1 intergenic region. Using two approaches, one of which is a coalescent approach, we obtain rate estimates of approximately 2.9 x 10(-8) and 3.3 x 10(-8) substitutions per site per year. We also show that the pattern of polymorphism in the tb1 intergenic region appears to have been strongly affected by the mutagenic effect of DNA methylation. Excluding target sites of symmetric DNA methylation (CG and CNG sites) from analysis, the mutation rate estimates are reduced by approximately 50%-60%, while the rates for CG and CNG sites are nearly an order of magnitude higher. We use rate estimates from the tb1 region to estimate the timing of expansion of transposable elements in the maize genome and suggest that this expansion occurred primarily within the last million years.     

Identifying pedigrees segregating at a major locus for a quantitative trait: an efficient strategy for linkage analysis

Having found evidence for segregation at a major locus for a quantitative trait, a logical next step is to identify those pedigrees in which major-locus segregation is occurring. If the quantitative trait is a risk factor for an associated disease, identifying such segregating pedigrees can be important in classifying families by etiology, in risk assessment, and in suggesting treatment modalities. Identifying segregating pedigrees can also be helpful in selecting pedigrees to include in a subsequent linkage study to map the major locus. Here, we describe a strategy to identify pedigrees segregating at a major locus for a quantitative trait. We apply this pedigree selection strategy to simulated data generated under a major-locus or mixed model with a rare dominant allele and sampled according to one of several fixed-structure or sequential sampling designs. We demonstrate that for the situations considered, the pedigree selection strategy is sensitive and specific and that a linkage study based only on the pedigrees classified as segregating extracts essentially all the linkage information in the entire sample of pedigrees. Our results suggest that for large-scale linkage studies involving many genetic markers, the savings from this strategy can be substantial and that, compared with fixed-structure sampling, sequential sampling of pedigrees can greatly improve the efficiency for linkage analysis of a quantitative trait.     

Allelic diversity at the primate major histocompatibility complex DRB6 locus

The HLA-DRB6 gene (also called DRB/V1) has been found only in about 26% of human HLA haplotypes, i.e.; DR1, DRw10, and DR2-bearing ones (Corell et al. 1991). In contrast, exon-2 DRB6 sequences have been obtained from all tested primates: nine chimpanzees (Pan troglodytes), three gorillas (Gorilla gorilla) and three orangutans (Pongo pygmaeus); other apes which had already been sequenced (one gorilla and one chimpanzee) also had the DRB6 gene. Thus, all apes tested from three different species, some of them evolutionary separated by at least 14–16 million years, bear the DRB6 gene. In addition, more than one gene copy per haplotype has been found in one chimpanzee; this, together with the apparent loss of this gene in some of the human DR haplotypes, may indicate that the DR genome has undergone evolutionary changes more recently and more actively than class I or III genes. In addition, ten different and presumably allelic DRB6 exon-2 sequences have been obtained, and some of them coming from different species are more similar to each other than the one from the same species; this finding goes in favor of the trans-species theory of major histocompatibility complex polymorphism generation. Also, data are presented supporting that DRB6 may be one of the eldest genes of the DRB family, thus one of the first to diverge from the ancestral DRB gene.The contribution to this paper by A. Corell and P. Morales is equal, and the order of the authorship is arbitrary.     

Fine localization of a major disease-susceptibility locus for diffuse panbronchiolitis

Diffuse panbronchiolitis affecting East Asians is strongly associated with the class I human leukocyte antigen (HLA) alleles. Recent observations suggest that a major disease-susceptibility gene may be located between the HLA-B and HLA-A loci in the class I region of the major histocompatibility complex on chromosome 6. To test this possibility, we analyzed 14 polymorphic markers in 92 Japanese patients and 93 healthy controls. Of these, seven marker alleles, including HLA-B54 and HLA-A11, were significantly associated with the disease. Maximum-likelihood haplotype analysis and subsequent direct determination of individual haplotypes identified a group of disease-associated haplotypes, one of which contained all seven disease-associated marker alleles. Another haplotype, containing HLA-B*5504, was also associated with the disease. All these haplotypes seem to have diverged from a common ancestral haplotype in East Asians and share a specific segment containing three consecutive markers between the S and TFIIH loci in the class I region. Furthermore, one of the markers within the candidate region showed the highest delta value, indicating the strongest association. Of 20 Korean patients with diffuse panbronchiolitis, 17 also shared the combination of the disease-associated marker alleles within the candidate region. These results indicate that an HLA-associated major susceptibility gene for diffuse panbronchiolitis is probably located within the 200 kb in the class I region 300 kb telomeric of the HLA-B locus on the chromosome 6p21.3.     

On the information content of discrete phylogenetic characters

Journal of Mathematical Biology - Phylogenetic inference aims to reconstruct the evolutionary relationships of different species based on genetic (or other) data. Discrete characters are a...     

Flowering time in maize: linkage and epistasis at a major effect locus

In a previous study, we identified a candidate fragment length polymorphism associated with flowering time variation after seven generations of selection for flowering time, starting from the maize inbred line F252. Here, we characterized the candidate region and identified underlying polymorphisms. Then, we combined QTL mapping, association mapping, and developmental characterization to dissect the genetic mechanisms responsible for the phenotypic variation. The candidate region contained the Eukaryotic Initiation Factor (eIF-4A) and revealed a high level of sequence and structural variation beyond the 3'-UTR of eIF-4A, including several insertions of truncated transposable elements. Using a biallelic single-nucleotide polymorphism (SNP) (C/T) in the candidate region, we confirmed its association with flowering time variation in a panel of 317 maize inbred lines. However, while the T allele was correlated with late flowering time within the F252 genetic background, it was correlated with early flowering time in the association panel with pervasive interactions between allelic variation and the genetic background, pointing to underlying epistasis. We also detected pleiotropic effects of the candidate polymorphism on various traits including flowering time, plant height, and leaf number. Finally, we were able to break down the correlation between flowering time and leaf number in the progeny of a heterozygote (C/T) within the F252 background consistent with causal loci in linkage disequilibrium. We therefore propose that both a cluster of tightly linked genes and epistasis contribute to the phenotypic variation for flowering time.     

A quantitative-trait analysis of human plasma-dopamine beta-hydroxylase activity: evidence for a major functional polymorphism at the DBH locus

Dopamine-beta-hydroxylase (D beta H) catalyzes the conversion of dopamine to norepinephrine and is released from sympathetic neurons into the circulation. Plasma-D beta H activity varies widely between individuals, and a subgroup of the population has very low activity levels. Mounting evidence suggests that the DBH structural gene is itself the major quantitative-trait locus (QTL) for plasma-D beta H activity, and a single unidentified polymorphism may account for a majority of the variation in activity levels. Through use of both sequencing-based mutational analysis of extreme phenotypes and genotype/phenotype correlations in samples from African American, European American (EA), and Japanese populations, we have identified a novel polymorphism (--1021C-->T), in the 5' flanking region of the DBH gene, that accounts for 35%--52% of the variation in plasma-D beta H activity in these populations. In EAs, homozygosity at the T allele predicted the very low D beta H-activity trait, and activity values in heterozygotes formed an intermediate distribution, indicating codominant inheritance. Our findings demonstrate that --1021C-->T is a major genetic marker for plasma-D beta H activity and provide new tools for investigation of the role of both D beta H and the DBH gene in human disease.     

Patterns of variability at the major histocompatibility class II alpha locus in Atlantic salmon contrast with those at the class I locus

In order to investigate the mechanisms creating and maintaining variability at the major histocompatibility (MH) class II alpha (DAA) locus we examined patterns of polymorphism in two isolated Atlantic salmon populations which share a common post-glacial origin. As expected from their common origin, but contrary to the observation at the MH class I locus, these populations shared the majority of DAA alleles: out of 17 sequences observed, 11 were common to both populations. Recombination seems to play a more important role in the origin of new alleles at the class II alpha locus than at the class I locus. A greater than expected proportion of sites inferred to be positively selected (potentially peptide binding residues, PBRs) were found to be involved in recombination events, suggesting a mechanism for increasing MH variability through an interaction between recombination and natural selection. Thus it appears that although selection and recombination are important mechanisms for the evolution of both class II alpha and class I loci in the Atlantic salmon, the pattern of variability differs markedly between these classes of MH loci.     

Stochastic epidemics: the probability of extinction of an infectious disease at the end of a major outbreak

 The aim of this study is to derive an asymptotic expression for the probability that an infectious disease will disappear from a population at the end of a major outbreak (‘fade-out’). The study deals with a stochastic SIR-model. Local asymptotic expansions are constructed for the deterministic trajectories of the corresponding deterministic system, in particular for the deterministic trajectory starting in the saddle point. The analytical expression for the probability of extinction is derived by asymptotically solving a boundary value problem based on the Fokker-Planck equation for the stochastic system. The asymptotic results are compared with results obtained by random walk simulations. Received 20 July 1995; received in revised form 6 May 1996     

Estimating the probability for major gene Alzheimer disease.

Alzheimer disease (AD) is neuropsychiatric illness caused by multiple etiologies. Prediction of whether AD is genetically based in a given family is problematic because of censoring bias among unaffected relatives as a consequence of the late onset of the disorder, diagnostic uncertainties, heterogeneity, and limited information in a single family. We have developed a method based on Bayesian probability to compute values for a continuous variable that ranks AD families as having a major gene form of AD (MGAD). In addition, we have compared the Bayesian method with a maximum-likelihood approach. These methods incorporate sex- and age-adjusted risk estimates and allow for phenocopies and familial clustering of age at onset. Agreement is high between the two approaches for ranking families as MGAD (Spearman rank [r] = .92). When either method is used, the numerical outcomes are sensitive to assumptions of the gene frequency and cumulative incidence of the disease in the population. Consequently, risk estimates should be used cautiously for counseling purposes; however, there are numerous valid applications of these procedures in genetic and epidemiological studies.     

Effect of mouse genotype on interferon production. I. Lines congenic at theIf-1 locus

The level of circulating Interferon induced in mice by Newcastle disease virus is controlled by a single codominant locus,If-1, with two alleles,If-1 ^l for low andIf-1 ^h for high production. This locus is linked to the histocompatibility locusH-28. Of three C57BL/6By lines congenic for the BALB/cBy allele atH-28, two are carrying the BALB/cBy allele and one, the C57BL/6By allele atIf-1. Thus, mouse strains that are genetically very similar but different in their production of NDV-induced circulating Interferon now are available.A preliminary report of these studies was presented at the ASM meeting at Miami Beach in May 1973.