Approximate genealogies under genetic hitchhiking.

The rapid fixation of an advantageous allele leads to a reduction in linked neutral variation around the target of selection. The genealogy at a neutral locus in such a selective sweep can be simulated by first generating a random path of the advantageous allele's frequency and then a structured coalescent in this background. Usually the frequency path is approximated by a logistic growth curve. We discuss an alternative method that approximates the genealogy by a random binary splitting tree, a so-called Yule tree that does not require first constructing a frequency path. Compared to the coalescent in a logistic background, this method gives a slightly better approximation for identity by descent during the selective phase and a much better approximation for the number of lineages that stem from the founder of the selective sweep. In applications such as the approximation of the distribution of Tajima's D, the two approximation methods perform equally well. For relevant parameter ranges, the Yule approximation is faster.

Statistics of selectively neutral genetic variation.

Random models of evolution are instrumental in extracting rates of microscopic evolutionary mechanisms from empirical observations on genetic variation in genome sequences. In this context it is necessary to know the statistical properties of empirical observables (such as the local homozygosity, for instance). Previous work relies on numerical results or assumes Gaussian approximations for the corresponding distributions. In this paper we give an analytical derivation of the statistical properties of the local homozygosity and other empirical observables assuming selective neutrality. We find that such distributions can be very non-Gaussian.

Comparative genomics and regulatory evolution: conservation and function of the Chs and Apetala3 promoters.

DNA sequence variations of chalcone synthase (Chs) and Apetala3 gene promoters from 22 cruciferous plant species were analyzed to identify putative conserved regulatory elements. Our comparative approach confirmed the existence of numerous conserved sequences which may act as regulatory elements in both investigated promoters. To confirm the correct identification of a well-conserved UV-light-responsive promoter region, a subset of Chs promoter fragments were tested in Arabidopsis thaliana protoplasts. All promoters displayed similar light responsivenesses, indicating the general functional relevance of the conserved regulatory element. In addition to known regulatory elements, other highly conserved regions were detected which are likely to be of functional importance. Phylogenetic trees based on DNA sequences from both promoters (gene trees) were compared with the hypothesized phylogenetic relationships (species trees) of these taxa. The data derived from both promoter sequences were congruent with the phylogenies obtained from coding regions of other nuclear genes and from chloroplast DNA sequences. This indicates that promoter sequence evolution generally is reflective of species phylogeny. Our study also demonstrates the great value of comparative genomics and phylogenetics as a basis for functional analysis of promoter action and gene regulation.

Statistics of divergence times.

Given the number of nucleotide substitutions between two species (K) and the substitution rate nu, the expectation of the corresponding divergence time is usually calculated as K/(2 nu). This is strictly true only if nu is regarded as a constant because the ratio of two random variables, such as K/(2 nu), has distributional properties different from those of the distribution of K. Therefore, both the mean and any confidence interval for divergence times are unknown in this situation. We model the distribution of K and nu using the Gamma distribution and calculate the mean and 95% confidence interval for the corresponding divergence time. These calculations are compared with results obtained by bootstrapping sequence data from the model plant Arabidopsis thaliana and its relatives. We show that for nonoverlapping pairs of phylogenetic distances, our method approaches the bootstrap results very closely. In contrast, regarding the mutation rate as a constant leads to strong underestimation of the confidence interval. An implementation of our method of computing divergence times is accessible through a web interface at http://www.soft.ice.mpg.de/cite.

Molecular systematics of the Brassicaceae: evidence from coding plastidic matK and nuclear Chs sequences.

Phylogenetic relationships were inferred using nucleotide sequence variation of the nuclear-encoded chalcone synthase gene (Chs) and the chloroplast gene matK for members of five tribes from the family Brassicaceae to analyze tribal and subtribal structures. Phylogenetic trees from individual data sets are mostly in congruence with the results from a combined matK-Chs analysis with a total of 2721 base pairs, but with greater resolution and higher statistical support for deeper branching patterns. The analysis indicates that tribes Lepidieae, Arabideae, and Sisymbrieae are not monophyletic. Among taxa under study four different lineages each were detected in tribes Arabideae and Lepidieae, interspersed with taxa from tribes Sisymbrieae, Hesperideae, and Brassiceae. It is concluded that tribe Brassiceae might be the only monophyletic group of the traditional tribes. From our data we estimated several divergence times for different lineages among cruciferous plants: 5.8 mya (million years ago) for the Arabidopsis-Cardaminopsis split, 20 mya for the Brassica-Arabidopsis split, and ∼40 mya for the age of the deepest split between the most basal crucifer Aethionema and remaining cruciferous taxa.

LIAN 3.0: detecting linkage disequilibrium in multilocus data. Linkage Analysis.

SUMMARY: LIAN is a program to test the null hypothesis of linkage equilibrium for multilocus data. LIAN incorporates both a Monte Carlo method as well as a novel algebraic method to carry out the hypothesis test. The program further returns the genetic diversity of the sample and the pairwise distances between its members.

Genetic isolation by distance in Arabidopsis thaliana: biogeography and postglacial colonization of Europe.

Arabidopsis thaliana provides a useful model system for functional, evolutionary and ecological studies in plant biology. We have analysed natural genetic variation in A. thaliana in order to infer its biogeographical and historical distribution across Eurasia. We analysed 79 amplified fragment length polymorphism (AFLP) markers in 142 accessions from the species' native range, and found highly significant genetic isolation by distance among A. thaliana accessions from Eurasia and southern Europe. These spatial patterns of genetic variation suggest that A. thaliana colonized central and northern Europe from Asia and from Mediterranean Pleistocene refugia, a trend which has been identified in other species. Statistically significant levels of multilocus linkage disequilibrium suggest intermediate levels of disequilibrium among subsets of loci, and analysis of genetic relationships among accessions reveal a star or bush-like dendrogram with low bootstrap support. Taken together, it appears that there has been sufficient historical recombination in the A. thaliana genome such that accessions do not conform to a tree-like, bifurcating pattern of evolution - there is no 'ecotype phylogeny.' Nonetheless, significant isolation by distance provides a framework upon which studies of natural variation in A. thaliana may be designed and interpreted.

Microsatellite markers reveal a spectrum of population structures in the malaria parasite Plasmodium falciparum.

Multilocus genotyping of microbial pathogens has revealed a range of population structures, with some bacteria showing extensive recombination and others showing almost complete clonality. The population structure of the protozoan parasite Plasmodium falciparum has been harder to evaluate, since most studies have used a limited number of antigen-encoding loci that are known to be under strong selection. We describe length variation at 12 microsatellite loci in 465 infections collected from 9 locations worldwide. These data reveal dramatic differences in parasite population structure in different locations. Strong linkage disequilibrium (LD) was observed in six of nine populations. Significant LD occurred in all locations with prevalence <1% and in only two of five of the populations from regions with higher transmission intensities. Where present, LD results largely from the presence of identical multilocus genotypes within populations, suggesting high levels of self-fertilization in populations with low levels of transmission. We also observed dramatic variation in diversity and geographical differentiation in different regions. Mean heterozygosities in South American countries (0.3-0.4) were less than half those observed in African locations (0. 76-0.8), with intermediate heterozygosities in the Southeast Asia/Pacific samples (0.51-0.65). Furthermore, variation was distributed among locations in South America (F:(ST) = 0.364) and within locations in Africa (F:(ST) = 0.007). The intraspecific patterns of diversity and genetic differentiation observed in P. falciparum are strikingly similar to those seen in interspecific comparisons of plants and animals with differing levels of outcrossing, suggesting that similar processes may be involved. The differences observed may also reflect the recent colonization of non-African populations from an African source, and the relative influences of epidemiology and population history are difficult to disentangle. These data reveal a range of population structures within a single pathogen species and suggest intimate links between patterns of epidemiology and genetic structure in this organism.

Comparative evolutionary analysis of chalcone synthase and alcohol dehydrogenase loci in Arabidopsis, Arabis, and related genera (Brassicaceae).

We analyzed sequence variation for chalcone synthase (Chs) and alcohol dehydrogenase (Adh) loci in 28 species in the genera Arabidopsis and Arabis and related taxa from tribe Arabideae. Chs was single-copy in nearly all taxa examined, while Adh duplications were found in several species. Phylogenies constructed from both loci confirmed that the closest relatives of Arabidopsis thaliana include Arabidopsis lyrata, Arabidopsis petraea, and Arabidopsis halleri (formerly in the genus Cardaminopsis). Slightly more distant are the North American n = 7 Arabis (Boechera) species. The genus Arabis is polyphyletic-some unrelated species appear within this taxonomic classification, which has little phylogenetic meaning. Fossil pollen data were used to compute a synonymous substitution rate of 1.5 x 10 substitutions per site per year for both Chs and Adh. Arabidopsis thaliana diverged from its nearest relatives about 5 MYA, and from Brassica roughly 24 MYA. Independent molecular and fossil data from several sources all provide similar estimates of evolutionary timescale in the Brassicaceae.

Detecting linkage disequilibrium in bacterial populations.

The distribution of the number of pairwise differences calculated from comparisons between n haploid genomes has frequently been used as a starting point for testing the hypothesis of linkage equilibrium. For this purpose the variance of the pairwise differences, VD, is used as a test statistic to evaluate the null hypothesis that all loci are in linkage equilibrium. The problem is to determine the critical value of the distribution of VD. This critical value can be estimated either by Monte Carlo simulation or by assuming that VD is distributed normally and calculating a one-tailed 95% critical value for VD, L, L = EVD + 1.645 sqrt(VarVD), where E(VD) is the expectation of VD, and Var(VD) is the variance of VD. If VD (observed) > L, the null hypothesis of linkage equilibrium is rejected. Using Monte Carlo simulation we show that the formula currently available for Var(VD) is incorrect, especially for genetically highly diverse data. This has implications for hypothesis testing in bacterial populations, which are often genetically highly diverse. For this reason we derive a new, exact formula for Var(VD). The distribution of VD is examined and shown to approach normality as the sample size increases. This makes the new formula a useful tool in the investigation of large data sets, where testing for linkage using Monte Carlo simulation can be very time consuming. Application of the new formula, in conjunction with Monte Carlo simulation, to populations of Bradyrhizobium japonicum, Rhizobium leguminosarum, and Bacillus subtilis reveals linkage disequilibrium where linkage equilibrium has previously been reported.

Bacterial genomics and adaptation to life on plants: implications for the evolution of pathogenicity and symbiosis.

Many bacteria form intimate associations with plants. Despite the agricultural and biotechnological significance of these bacteria, no whole genome sequences have yet been described. Plant-associated bacteria form a phylogenetically diverse group, with representative species from many major taxons. Sequence information from genomes of closely related bacteria, in combination with technological developments in the field of functional genomics, provides new opportunities for determining the origin and evolution of traits that contribute to bacterial fitness and interactions with plant hosts.

[Improved treatment results in advanced gallbladder and bile duct cancer by postoperative combined radiotherapy]. / Verbesserte Behandlungsergebnisse bei fortgeschrittenem Gallenblasen- und Gallengangskarzinom durch postoperative kombinierte Strahlenbehandlung.

From 1984 to 1990 38 patients had an operation for carcinoma of the gallbladder and bile ducts. The unfavorable prognosis of this type of cancer was improved by a combined treatment, consisting of surgical tumor reduction and implantation of a transhepatic drainage, followed by external radiation and intracatheter brachytherapy. Nine patients were treated in this manner, seven died 6-67 months after operation, two are still alive 7 and 13 months postoperatively.