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Universal behavior of crossover scaling functions for continuous phase transitions.

We consider two different systems exhibiting a continuous phase transition into an absorbing state. Both models belong to the same universality class; i.e., they are characterized by the same scaling functions and the same critical exponents. Varying the range of interactions, we examine the crossover from the mean-field-like to the non-mean-field scaling behavior. A phenomenological scaling form is applied in order to describe the full crossover region, which spans several decades. Our results strongly support the hypothesis that the crossover function is universal.

Journal Article↗

Crossover temperature of Bose-Einstein condensation in an atomic Fermi gas.

We show that in an atomic Fermi gas near a Feshbach resonance the crossover between a Bose-Einstein condensate of diatomic molecules and a Bose-Einstein condensate of Cooper pairs occurs at positive detuning, i.e., when the molecular energy level lies in the two-atom continuum. We determine the crossover temperature as a function of the applied magnetic field and find excellent agreement with the experiment of C. A. Regal et al. [Phys. Rev. Lett. 92, 040403 (2004)]] who has recently observed this crossover temperature.

Journal Article↗

Half-integer Shapiro steps at the 0-pi crossover of a ferromagnetic Josephson junction.

We investigate the current-phase relation of S/F/S junctions near the crossover between the 0 and the pi ground states. We use Nb/CuNi/Nb junctions where this crossover is driven both by thickness and temperature. For a certain thickness a nonzero minimum of critical current is observed at the crossover temperature. We analyze this residual supercurrent by applying a high frequency excitation and observe the formation of half-integer Shapiro steps. We attribute these fractional steps to a doubling of the Josephson frequency due to a sin((2phi) current-phase relation. This phase dependence is explained by the splitting of the energy levels in the ferromagnetic exchange field.

Journal Article↗

Quantum-to-classical crossover in full counting statistics.

The reduction of quantum scattering leads to the suppression of shot noise. In this Letter, we analyze the crossover from the quantum transport regime with universal shot noise to the classical regime where noise vanishes. By making use of the stochastic path integral approach, we find the statistics of transport and the transmission properties of a chaotic cavity as a function of a system parameter controlling the crossover. We identify three different scenarios of the crossover.

Journal Article↗

Extensive interallelic polymorphisms drive meiotic recombination into a crossover pathway.

Recombinants isolated from most meiotic intragenic recombination experiments in maize, but not in yeast, are borne principally on crossover chromosomes. This excess of crossovers is not explained readily by the canonical double-strand break repair model of recombination, proposed to account for a large body of yeast data, which predicts that crossovers (COs) and noncrossovers (NCOs) should be recovered equally. An attempt has been made here to identify general rules governing the recovery of the CO and NCO classes of intragenic recombinants in maize. Recombination was analyzed in bz heterozygotes between a variety of mutations derived from the same or different progenitor alleles. The mutations include point mutations, transposon insertions, and transposon excision footprints. Consequently, the differences between the bz heteroalleles ranged from just two nucleotides to many nucleotides, indels, and insertions. In this article, allelic pairs differing at only two positions are referred to as dimorphic to distinguish them from polymorphic pairs, which differ at multiple positions. The present study has revealed the following effects at these bz heteroalleles: (1) recombination between polymorphic heteroalleles produces mostly CO chromosomes; (2) recombination between dimorphic heteroalleles produces both CO and NCO chromosomes, in ratios apparently dependent on the nature of the heteroalleles; and (3) in dimorphic heterozygotes, the two NCO classes are recovered in approximately equal numbers when the two mutations are point mutations but not when one or both mutations are insertions. These observations are discussed in light of a recent version of the double-strand break repair model of recombination that postulates separate pathways for the formation of CO and NCO products.

Alleles↗

Revisited crystal symmetry of the high-spin form of the iron(II) spin-crossover complex dicyano[2,13-dimethyl-6,9-dioxa-3,12,18-triazabicyclo[12.3.1]octadeca-1(18),2,12,14,16-pentaene]iron(II) monohydrate.

The title iron(II) complex, [Fe(CN)(2)(C(15)H(23)N(3)O(2))].H(2)O, is of interest to the spin-crossover community because of its unusual temperature-dependent magnetic behaviour as well as its relatively high relaxation temperature for the light-induced spin-crossover phenomenon. Structural modifications are strongly suspected to cause the unusual thermal spin-crossover features. Recently, the high-spin crystal structure has been reported but with an inadequate space group. In the present paper, the crystal structure is corrected by a new investigation, and some consequences for the structure-property relationships of this complex are discussed. The Fe(II) ion is seven-coordinate and lies on a twofold axis.

Journal Article↗

Crossover trials are only useful when there is a positive correlation between the response to different treatment modalities.

1. Trials that do not allow us to reject the null hypothesis of no treatment effect may have had an inappropriate design. Trials are virtually never assessed for correlation between responses to different treatment modalities. 2. The level of correlation between responses to different treatment modalities is a major determinant of the power of crossover trials. 3. It is relevant to assess correlation levels between responses to the different treatment modalities a priori. With a negative correlation a crossover design is likely to lack power. 4. In 1991 the British Journal of Clinical Pharmacology published eight crossover trials which would have been more efficient had they been performed with a parallel groups design.

Clinical Trials as Topic↗

Molecular analysis of two recombinant mouse strains with crossovers in the E alpha recombination hot spot.

Recombination in the E alpha gene of the mouse major histocompatibility complex has been found to occur only in mice derived from crosses between strains with the k and p haplotypes. In the present paper the crossover sites of six additional strains were examined by RFLP analysis. These recombinant strains were derived from crosses between strains (B10.RPD1, B10.RPD2) with crossovers in the E alpha gene and B10.M (H-2f). Four have crossover sites between the E alpha gene and the S region. One recombinant (B10.RFD7) also crossed over within the E alpha gene and a second (B10.RPF1) crossed over within a segment located to the left of the E alpha gene. This study suggests that the DNA sequence responsible for recombination in the E alpha gene is also present in the B10.RPD1 and B10.RPD2 recombinant strains.

Animals↗

A crossover in the mechanical response of nanocrystalline ceramics.

Multimillion-atom molecular dynamics simulation of indentation of nanocrystalline silicon carbide reveals unusual deformation mechanisms in brittle nanophase materials, resulting from the coexistence of brittle grains and soft amorphous grain boundary phases. Simulations predict a crossover from intergranular continuous deformation to intragrain discrete deformation at a critical indentation depth. The crossover arises from the interplay between cooperative grain sliding, grain rotations, and intergranular dislocation formation similar to stick-slip behavior. The crossover is also manifested in switching from deformation dominated by indentation-induced crystallization to deformation dominated by disordering, leading to amorphization. This interplay between deformation mechanisms is critical for the design of ceramics with superior mechanical properties.

Journal Article↗

Evolution of repeated DNA sequences by unequal crossover.

It is often supposed that highly repetitious DNA's arise only as a result of unusual mechanisms or in response to selective pressure. My arguments and simulations suggest, by contrast, that a pattern of tandem repeats is the natural state of DNA whose sequence is not maintained by selection. The simulations show that periodicities can develop readily from nonreptitious DNA as a result of the random accumulation of random mutations and random homology-dependent unequal crossovers. The lengths of these periodicities, and the patterns of subrepeats within them, would fluctuate in evolution, with the probability of a given pattern being dependent on the unknown exact nature of the crossover mechanism. Qualitatively, then, unequal crossover provides a reasonable and uncontrived explanation for the prevalence of highly repeated sequences in DNA and for the patterns of periodicity they evince.

Animals↗

Proviral progeny of heterodimeric virions reveal a high crossover rate for human immunodeficiency virus type 2.

Human immunodeficiency virus type 1 (HIV-1), the causative agent of AIDS in humans, exhibits a very high rate of recombination. Bearing in mind the significant epidemiological and clinical contrast between HIV-2 and HIV-1 as well as the critical role that recombination plays in viral evolution, we examined the nature of HIV-2 recombination. Towards this end, a strategy was devised to measure the rate of crossover of HIV-2 by evaluating recombinant progeny produced exclusively by heterodimeric virions. The results showed that HIV-2 exhibits a crossover rate similar to that of HIV-1 and murine leukemia virus, indicating that the extremely high rate of crossover is a common retroviral feature.

Crossing Over, Genetic↗

Homologous RNA recombination in brome mosaic virus: AU-rich sequences decrease the accuracy of crossovers.

Brome mosaic virus, a tripartite positive-stranded RNA virus of plants, was used for the determination of sequence requirements of imprecise (aberrant) homologous recombination. A 23-nucleotide (nt) region that included a 6-nt UUAAAA sequence (designated the AU sequence) common between wild-type RNA2 and mutant RNA3 supported both precise and imprecise homologous recombination, though the latter occurred with lower frequency. Doubling the length of the 6-nt AU sequence in RNA3 increased the incidence of imprecise crossovers by nearly threefold. Duplication or triplication of the length of the AU sequence in both RNA2 and RNA3 further raised the frequency of imprecise crossovers. The majority of imprecise crosses were located within or close to the extended AU sequence. Imprecise recombinants contained either nucleotide substitutions, nontemplated nucleotides, small deletions, or small sequence duplications within the region of crossovers. Deletion of the AU sequence from the homologous region in RNA3 resulted in the accumulation of only precise homologous recombinants. Our results provide experimental evidence that AU sequences can facilitate the formation of imprecise homologous recombinants. The generation of small additions or deletions can be explained by a misannealing mechanism within the AU sequences, while replicase errors during RNA copying might explain the occurrence of nucleotide substitutions or nontemplated nucleotides.

Base Sequence↗

Mnd1/Hop2 facilitates Dmc1-dependent interhomolog crossover formation in meiosis of budding yeast.

During meiosis, each chromosome must pair with its homolog and undergo meiotic crossover recombination in order to segregate properly at the first meiotic division. Recombination in meiosis in Saccharomyces cerevisiae relies on two Escherichia coli recA homologs, Rad51 and Dmc1, as well as the more recently discovered heterodimer Mnd1/Hop2. Meiotic recombination in S. cerevisiae mnd1 and hop2 single mutants is initiated via double-strand breaks (DSBs) but does not progress beyond this stage; heteroduplex DNA, joint molecules, and crossovers are not detected. Whereas hop2 and mnd1 single mutants are profoundly recombination defective, we show that mnd1 rad51, hop2 rad51, and mnd1 rad17 double mutants are able to carry out crossover recombination. Interestingly, noncrossover recombination is absent, indicating a role for Mnd1/Hop2 in the designation of DSBs for noncrossover recombination. We demonstrate that in the rad51 mnd1 double mutant, recombination is more likely to occur between repetitive sequences on nonhomologous chromosomes. Our results support a model in which Mnd1/Hop2 is required for DNA-DNA interactions that help ensure Dmc1-mediated stable strand invasion between homologous chromosomes, thereby preserving genomic integrity.

Adenosine Triphosphatases↗

Is bran efficacious in irritable bowel syndrome? A double blind placebo controlled crossover study.

Twenty eight patients with classical irritable bowel syndrome completed a double blind placebo controlled crossover trial in which they added to their normal diet a daily supplement of either 12 bran biscuits (1 = 1.3 g fibre) or 12 placebo biscuits (1 = 0.23 g fibre). Each biscuit was given for three months in random order with crossover to the alternative biscuit at three months. After the initial three months therapy, there was a significant symptomatic improvement compared with pretreatment in both the bran treated (p less than 0.01) and placebo treated groups (p less than 0.01), but there was no significant difference in symptom scores between these two groups. There was no further improvement in either group after the second three months treatment with the alternative therapy. When crossover data for all 28 subjects were combined, symptoms scores after three months bran therapy and after three months placebo therapy did not differ significantly. Twenty four patients completed three day stool collections in both treatment periods. When the symptomatic response to bran among 15 subjects in whom stool weights rose on bran was compared with that among nine subjects whose stool weights were static or fell on the bran, it was shown that symptomatic improvement was independent of an increase in stool weight. These data suggest that in irritable bowel syndrome, especially that associated with abdominal pain, the beneficial effects of bran are due to a placebo response which is independent of an increase in stool weight.

Adult↗

A call for reporting the relevant exposure term in air pollution case-crossover studies.

The exposure term in the case-crossover design consists in the difference between the ambient concentration on the event day and the concentration(s) on some control day(s). So far, all air pollution case-crossover studies presented the distribution of the daily ambient pollutant concentrations but do not publish the distributional properties of the relevant exposure term--that is, the concentration difference. This article shows that this difference can be very small for a large fraction of event days, therefore, seriously limiting the statistical power to refute the null hypothesis. Publishing the distribution of the relevant differences will improve the interpretation and discussion of findings from case-crossover studies, particularly in cases with statistically non-significant associations.

Air Pollutants↗

The effects of particulate air pollution on daily deaths: a multi-city case crossover analysis.

BACKGROUND: Numerous studies have reported that day-to-day changes in particulate air pollution are associated with day-to-day changes in deaths. Recently, several reports have indicated that the software used to control for season and weather in some of these studies had deficiencies. AIMS: To investigate the use of the case-crossover design as an alternative. METHODS: This approach compares the exposure of each case to their exposure on a nearby day, when they did not die. Hence it controls for seasonal patterns and for all slowly varying covariates (age, smoking, etc) by matching rather than complex modelling. A key feature is that temperature can also be controlled by matching. This approach was applied to a study of 14 US cities. Weather and day of the week were controlled for in the regression. RESULTS: A 10 microg/m3 increase in PM10 was associated with a 0.36% increase in daily deaths from internal causes (95% CI 0.22% to 0.50%). Results were little changed if, instead of symmetrical sampling of control days the time stratified method was applied, when control days were matched on temperature, or when more lags of winter time temperatures were used. Similar results were found using a Poisson regression, but the case-crossover method has the advantage of simplicity in modelling, and of combining matched strata across multiple locations in a single stage analysis. CONCLUSIONS: Despite the considerable differences in analytical design, the previously reported associations of particles with mortality persisted in this study. The association appeared quite linear. Case-crossover designs represent an attractive method to control for season and weather by matching.

Air Pollution↗

A role for the MutL homologue MLH2 in controlling heteroduplex formation and in regulating between two different crossover pathways in budding yeast.

BACKGROUND AND AIMS: Mismatch repair proteins play important roles during meiotic recombination in the budding yeast Saccharomyces cerevisiae and most eukaryotic organisms studied to date. To study the functions of the mismatch repair protein Mlh2p in meiosis, we constructed mlh2Delta strains and measured rates of crossing over, gene conversion, post-meiotic segregation and spore viability. We also analysed mlh1Delta, mlh3Delta, msh4Delta, msh5Delta, exo1Delta and mus81Delta mutant strains singularly and in various combinations. RESULTS: Loss of MLH2 resulted in a small but significant decrease in spore viability and a significant increase in gene conversion frequencies but had no apparent effect on crossing over. Deletion of MLH2 in mlh3Delta, msh4Delta or msh5Delta strains resulted in significant proportion of the "lost" crossovers found in single deletion strains being regained in some genetic intervals. We and others propose that there are at least two pathways to generate crossovers in yeast (Ross-Macdonald and Roeder, 1994; Zalevsky et al., 1999; Khazanehdari and Borts, 2000; Novak et al., 2001; de los Santos et al., 2003). Most recombination intermediates are processed by the "major", Msh4-dependent pathway, which requires the activity of Mlh1p/Mlh3p/Msh4p/Msh5p as well as a number of other proteins. The minor pathway(s) utilizes Mms4p/Mus81p. We suggest that the absence of Mlh2p allows some crossovers from the MSH4 pathway to traverse the MUS81-dependent pathway.

Adaptor Proteins, Signal Transducing↗

Incorporating crossover interference into pedigree analysis using the chi 2 model.

Crossover interference is now known to exist in humans but to date has been ignored in routine genetic mapping because of the computational burden involved. In a recent paper by Weeks et al. [Hum Hered 1993;43:86-97], interference was accounted for by the use of a variety of multilocus feasible map functions and a crossover model of Goldgar and Fain [Am J Hum Genet 1988;43:38-45]. In this paper, we present an alternative approach to incorporating crossover interference into multilocus likelihood computation, by modelling the underlying chiasma process directly using the chi 2 model, supplemented by an assumption of no chromatid interference. This procedure was applied to the same CEPH consortium chromosome 10 data set that was analyzed by Weeks et al. A fit to the data was achieved which was significantly better than that offered by the no-interference model, and comparable to the best of the alternatives considered by Weeks et al. We briefly discuss the relative merits of the different models for interference.

Chi-Square Distribution↗