Trials of the beta model for complex inheritance.

Theoretical advantages of nonparametric logarithm of odds to map polygenic diseases are supported by tests of the beta model that depends on a single logistic parameter and is the only model under which paternal and maternal transmissions to sibs of specified phenotypes are independent. Although it does not precisely describe recurrence risks in monozygous twins, the beta model has greater power to detect family resemblance or linkage than the more general delta model which describes the probability of 0, 1, or 2 alleles identical by descent (ibd) with two parameters. Available data on ibd in sibs are consistent with the beta model, but not with the equally parsimonious but less powerful gamma model that assumes a fixed probability of 1/2 for 1 allele ibd. Additivity of loci on the liability scale is not disproven. A simple equivalence extends the beta model to multipoint analysis.

A general additive distance with time-reversibility and rate variation among nucleotide sites.

As additivity is a very useful property for a distance measure, a general additive distance is proposed under the stationary time-reversible (SR) model of nucleotide substitution or, more generally, under the stationary, time-reversible, and rate variable (SRV) model, which allows rate variation among nucleotide sites. A method for estimating the mean distance and the sampling variance is developed. In addition, a method is developed for estimating the variance-covariance matrix of distances, which is useful for the statistical test of phylogenies and molecular clocks. Computer simulation shows (i) if the sequences are longer than, say, 1000 bp, the SR method is preferable to simpler methods; (ii) the SR method is robust against deviations from time-reversibility; (iii) when the rate varies among sites, the SRV method is much better than the SR method because the distance is seriously underestimated by the SR method; and (iv) our method for estimating the sampling variance is accurate for sequences longer than 500 bp. Finally, a test is constructed for testing whether DNA evolution follows a general Markovian model.

Bacteriophage lambda N protein alone can induce transcription antitermination in vitro.

Specific and processive antitermination by bacteriophage lambda N protein in vivo and in vitro requires the participation of a large number of Escherichia coli proteins (Nus factors), as well as an RNA hairpin (boxB) within the nut site of the nascent transcript. In this study we show that efficient, though nonprocessive, antitermination can be induced by large concentrations of N alone, even in the absence of a nut site. By adding back individual components of the system, we also show that N with nut+ nascent RNA is much more effective in antitermination than is N alone. This effect is abolished if N is competed away from the nut+ RNA by adding, in trans, an excess of boxB RNA. The addition of NusA makes antitermination by the N-nut+ complex yet more effective. This NusA-dependent increase in antitermination is lost when delta nut transcripts are used. These results suggest the formation of a specific boxB RNA-N-NusA complex within the transcription complex. By assuming an equilibrium model, we estimate a binding constant of 5 x 10(6) M-1 for the interaction of N alone with the transcription complex. This value can be used to estimate a characteristic dissociation time of N from the complex that is comparable to the dwell time of the complex at an average template position, thus explaining the nonprocessivity of the antitermination effect induced by N alone. On this basis, the effective dissociation rate of N should be approximately 1000-fold slower from the minimally processive (100-600 bp) N-NusA-nut+ transcription complex and approximately 10(5)-fold slower from the maximally processive (thousands of base pairs) complex containing all of the components of the in vivo N-dependent antitermination system.