A reaction-diffusion model for interference in meiotic crossing over

One crossover point between a pair of homologous chromosomes in meiosis appears to interfere with occurrence of another in the neighborhood. It has been revealed that Drosophila and Neurospora, in spite of their large difference in the frequency of crossover points, show very similar plots of coincidence-a measure of the interference-against the genetic distance of the interval, defined as one-half the average number of crossover points within the interval. We here propose a simple reaction-diffusion model, where a "randomly walking" precursor becomes immobilized and matures into a crossover point. The interference is caused by pair-annihilation of the random walkers due to their collision and by annihilation of a random walker due to its collision with an immobilized point. This model has two parameters-the initial density of the random walkers and the rate of its processing into a crossover point. We show numerically that, as the former increases and/or the latter decreases, plotted curves of the coincidence vs. the genetic distance converge on a unique curve. Thus, our model explains the similarity between Drosophila and Neurospora without parameter values adjusted finely, although it is not a "genetic model" but is a "physical model," specifying explicitly what happens physically.     

Chromosome rearrangement: two ways of influencing crossing over in Drosophila]

Insertion of the Y-material into the 34A Is(Y;2L)419 region diminished recombinational length of the left arm of chromosome 2 (2L) from 49.1 to 15.0 cM. This decrease was compensated by the increase of recombinational length in the other chromosomal arms due to interchromosomal effect. The increase in the X chromosome was 11.4 cM; it was 2.0 cM in chromosome 2R; and 17.3 cM in chromosome 3. The insertion-induced decrease of the 2L recombinational length could be eliminated by evoking interchromosomal effects from other chromosomes. The presence of the inversion in the X chromosome increased the 2L recombinational length from 15.0 to 30.2 cM, while its association with the In(3LR)D inversion increased this length to 45.6 cM. The interchromosomal effects in the inductor chromosome were induced by distortion of pairing rather than by the low recombinational length of this chromosome. For example, the interchromosomal effect of the insertion on the X chromosome was higher in the Is(Y;2L)/+; In(3LR)/+ females than in the Is(Y;2L)/+; +/+ females (15.4 versus 11.5 cM), though the 2L recombinational length in the females with the former genotype (30.2 cM) was twofold higher than in females with the latter genotype (15.0 cM). It is suggested that chromosomal rearrangement hampers the development of local contacts in the homologues. This delay affects crossing over in the given pair of homologues in two ways: directly via diminishing the number of exchange sites, and indirectly through regulatory delay of crossing over determination in the meiocyte. The effects of the insertion on crossing over in nonhomologous chromosomes are implemented by through the second way.     

Satellite DNA and heterochromatin variants: The case for unequal mitotic crossing over

Summary Variations of constitutive heterochromatin (heteromorphisms) appear to be a general feature of eucaryotes. A variety of molecular and cytogenetic evidence supports the hypothesis that heteromorphisms result from unequal double-strand exchanges during mitotic DNA replication. Constitutive heterochromatin consists of highly repeated DNA sequences that are not transcribed. Thus, heteromorphisms are tolerated without overt phenotypic effect. Several of the highly repeated DNAs that comprise constitutive heterochromatin have been shown to contain site-specific endonuclease recognition sequences interspersed at regular intervals dependent upon nucleosome structure. These interspersed short repeated sequences could mediate unequal crossovers, resulting in quantitative variability of constitutive heterochromatin and satellite DNA. De novo variations of constitutive heterochromatin may be useful as markers of exposure to mutagens and/or carcinogens.     

Comments on lack of interference in the four strand model of crossing over

Summary Assuming a four strand model and no chromatid interference, lack of chiasma interference is known to be equivalent to the assumption that the formation of chiasmata follows a Poisson process. We prove that lack of chiasma interference is also equivalent to the assumption that a random gamete shows recombination on any given interval of a chromosome independently of recombination on all disjoint intervals. Both assumptions are sufficient, but not necessary, for Haldane's formula relating recombination to map distance to be true, as we demonstrate by specific counterexamples. These issues are discussed in the context of the theory of stochastic point processes.Research supported by: University of California at Los Angeles, NIH Special Resources Grant RR-3, and USPHS Predoctoral Traineeship GM 7104.     

Caenorhabditis elegans msh-5 is required for both normal and radiation-induced meiotic crossing over but not for completion of meiosis

Crossing over and chiasma formation during Caenorhabditis elegans meiosis require msh-5, which encodes a conserved germline-specific MutS family member. msh-5 mutant oocytes lack chiasmata between homologous chromosomes, and crossover frequencies are severely reduced in both oocyte and spermatocyte meiosis. Artificially induced DNA breaks do not bypass the requirement for msh-5, suggesting that msh-5 functions after the initiation step of meiotic recombination. msh-5 mutants are apparently competent to repair breaks induced during meiosis, but accomplish repair in a way that does not lead to crossovers between homologs. These results combine with data from budding yeast to establish a conserved role for Msh5 proteins in promoting the crossover outcome of meiotic recombination events. Apart from the crossover deficit, progression through meiotic prophase is largely unperturbed in msh-5 mutants. Homologous chromosomes are fully aligned at the pachytene stage, and germ cells survive to complete meiosis and gametogenesis with high efficiency. Our demonstration that artificially induced breaks generate crossovers and chiasmata using the normal meiotic recombination machinery suggests (1) that association of breaks with a preinitiation complex is not a prerequisite for entering the meiotic recombination pathway and (2) that the decision for a subset of recombination events to become crossovers is made after the initiation step.     

Functional genomics identifies monopolin: a kinetochore protein required for segregation of homologs during meiosis i

The orderly reduction in chromosome number that occurs during meiosis depends on two aspects of chromosome behavior specific to the first meiotic division. These are the retention of cohesion between sister centromeres and their attachment to microtubules that extend to the same pole (monopolar attachment). By deleting genes that are upregulated during meiosis, we identified in Saccharomyces cerevisiae a kinetochore associated protein, Mam1 (Monopolin), which is essential for monopolar attachment. We also show that the meiosis-specific cohesin, Rec8, is essential for maintaining cohesion between sister centromeres but not for monopolar attachment. We conclude that monopolar attachment during meiosis I requires at least one meiosis-specific protein and is independent of the process that protects sister centromere cohesion.     

Fission yeast Mus81.Eme1 Holliday junction resolvase is required for meiotic crossing over but not for gene conversion

Most models of homologous recombination invoke cleavage of Holliday junctions to explain crossing over. The Mus81.Eme1 endonuclease from fission yeast and humans cleaves Holliday junctions and other branched DNA structures, leaving its physiological substrate uncertain. We report here that Schizosaccharomyces pombe mus81 mutants have normal or elevated frequencies of gene conversion but 20- to 100-fold reduced frequencies of crossing over. Thus, gene conversion and crossing over can be genetically separated, and Mus81 is required for crossing over, supporting the hypothesis that the fission yeast Mus81.Eme1 protein complex resolves Holliday junctions in meiotic cells.     

Testing predictions of the double-strand break repair model relating to crossing over in Mammalian cells

In yeast, four-stranded, biparental "joint molecules" containing a pair of Holliday junctions are demonstrated intermediates in the repair of meiotic double-strand breaks (DSBs). Genetic and physical evidence suggests that when joint molecules are resolved by the cutting of each of the two Holliday junctions, crossover products result at least most of the time. The double-strand break repair (DSBR) model is currently accepted as a paradigm for acts of DSB repair that lead to crossing over. In this study, a well-defined mammalian gene-targeting assay was used to test predictions that the DSBR model makes about the frequency and position of hDNA in recombinants generated by crossing over. The DSBR model predicts that hDNA will frequently form on opposite sides of the DSB in the two homologous sequences undergoing recombination [half conversion (HC); 5:3, 5:3 segregation]. By examining the segregation patterns of poorly repairable small palindrome genetic markers, we show that this configuration of hDNA is rare. Instead, in a large number of recombinants, full conversion (FC) events in the direction of the unbroken chromosomal sequence (6:2 segregation) were observed on one side of the DSB. A conspicuous fraction of the unidirectional FC events was associated with normal 4:4 marker segregation on the other side of the DSB. In addition, a large number of recombinants displayed evidence of hDNA formation. In several, hDNA was symmetrical on one side of the DSB, suggesting that the two homologous regions undergoing recombination swapped single strands of the same polarity. These data are considered within the context of modified versions of the DSBR model.     

Age-related changes in crossing over in Drosophila resemble the picture of interchromosomal effect of chromosome rearrangement on crossing over

Crossing over in the left arm of chromosome 2 (2L) was studied in successive broods of Drosophila melanogaster females carrying intact chromosomes (+/+), inversion Muller-5 in the X chromosome (M-5/+), and insertion of the Y-chromosome material into region 34A (Is(2L)/+). The regions net-dp, dp-b, b-pr and pr-cn were examined in 14 two-day-old broods of females +/+ and M-5/+ and in 10 broods of females Is(2L)/+. In all lines, the highest level of crossing over was in the first three broods (eggs laid during the first 6 days of oviposition) and the lowest level in the broods 7-8 (eggs laid at days 14-16). A high rate of crossing over in the first broods of females +/+ and M-5/+ was due to an increment of exchanges in the proximal euchromatin regions (b-pr and pr-cn) and to an increase in the number of tetrads with double exchanges. These changes are similar to a pattern of the interchromosomal effect on crossing over (IEC) in structurally normal chromosomes. In Is(2L)/+ females, a high level of crossing over was due to extensive exchanges in the interstitial regions net-dp and dp and an increase in the number of tetrads with single exchanges. These changes resembled the IEC in rearranged chromosomes (in this case, in chromosomes bearing an insertion). Thus, the age changes of crossing over are similar to the consequences of the presence or absence of IEC. Age changes in crossing over in a chromosome depended both on the local rearrangements in this chromosome (the local effect on crossing over, LEC) and on rearrangements in nonhomologous chromosomes (IEC). In the first broods, both LEC and IEC decreased with an increase in the level of crossing over. In subsequent broods, the reduced level of crossing over was accompanied by an increase in both LEC and IEC. This suggests that the mechanisms responsible for the age changes in crossing over and IEC may have common steps. The contact model of crossing over may explain the similarity between the age changes in crossing-over and IEC. It is suggested that both phenomena result from delayed determination of crossing over in a meiotic cell. This may occur due to the retarded formation of the local contacts in one of the homologous chromosome pairs or because a higher number of local contacts is required to trigger crossing over in a meiotic cell (of early age).     

The effects of tandem duplications on crossing over inDrosophila melanogaster

Each of three tandem duplications,Bar, Beadex ^r49k andDp(I)z-w, when homozygous increases crossing over in their environs in excess of the genetic length of the duplication.Detailed crossing over studies withDp(I)z-w showed that in the duplication homozygotes interference is reduced and when combined with heterologous autosomal inversions, double crossovers occurring in less than 10 map units are readily recovered.These results are interpreted in terms of the concept of effective pairing and suggest that tandem duplications increase crossing over by increasing effective pairing.     

Cutting edge: expansion of the KIR locus by unequal crossing over

The killer Ig-like receptor (KIR) genes have high sequence similarity and are organized in a head-to-tail fashion. These properties may enhance misalignment of homologous chromosomes during synapsis preceding meiotic recombination, resulting in unequal crossing over. We have identified an extended KIR haplotype that contains a novel hybrid gene and two copies of each of two previously described KIR genes. A parsimonious mechanism for the derivation of this haplotype invokes unequal crossing over between two known ancestral KIR haplotypes. These data raise the possibility that unequal crossing over may be responsible in part for the expansion/contraction of KIR haplotypes as well as other homologous gene families that map in tandem.     

Double crossing over: elementary events and the sequence of their occurrence

Analysis of the crossing over increment in the structurally normal chromosome of Drosophila caused by a rearrangement in nonhomologous chromosome (interchromosomal effect on crossing over, IEC) was carried out based on the author's personal and literature data. The IEC in the left arm of chromosome 2 caused by inversions in chromosomes X and 3, as well as the IEC in X chromosome caused by inversions in chromosomes 2 and 3, were examined. The IEC-induced increment of crossing over results from the increase of the number of double exchanges under the constant or reduced number of single exchanges. Tetrad analysis showed that the given alternation of the crossing over processes could occur only in the case of conversion of the tetrads with single exchanges into the tetrads with double exchanges. In other words, the events leading to the formation of double exchanges occur consecutively. The borders of the IEC-induced double exchanges can be seen all over the chromosome body. However, the IEC-induced increase of chromosome recombination length occurs only in the proximal region (in rare cases, in proximal and distal regions) of the chromosome arm. This means that a double exchange is formed when the first event with predominant location in the middle of the arm is supplemented with the second event predominantly localized at the arm T end, most frequently in the proximal region. The pattern of the IEC-induced double exchange formation can be satisfactorily described in terms of the contact model of the crossing over. According to the model, an elementary crossing-over event is the local contact between the homologues. Neither single exchange nor a double-stranded DNA break can serve as an elementary event in the process of any multiple exchange formation.     

Mlh1 is required for female fertility in Drosophila melanogaster: An outcome of effects on meiotic crossing over,ovarian follicles and egg activation

Mismatch repair (MMR) system, a conserved DNA repair pathway, plays crucial role in DNA recombination and is involved in gametogenesis. The impact of alterations in MMR family of proteins (bacterial MutS and MutL homologues) on mammalian fertility is well documented. However, an insight to the role of MMR in reproduction of non-mammalian organisms is limited. Hence, in the present study, we analysed the impact of mlh1 (a MutL homologue) on meiotic crossing over/recombination and fertility in a genetically tractable model, Drosophila melanogaster. Using mlh1^e00130 hypomorphic allele, we report female specific adverse reproductive outcome for reduced mlh1 in Drosophila: mlh1^e00130 homozygous females had severely reduced fertility while males were fertile. Further, mlh1^e00130 females contained small ovaries with large number of early stages as well as significantly reduced mature oocytes, and laid fewer eggs, indicating discrepancies in egg production and ovulation. These observations contrast the sex independent and/or male specific sterility and normal follicular development as well as ovulation reported so far for MMR family proteins in mammals. However, analogous to the role(s) of mlh1 in meiotic crossing over and DNA repair processes underlying mammalian fertility, ovarian follicles from mlh1^e00130 females contained significantly increased DNA double strand breaks (DSBs) and reduced synaptonemal complex foci. In addition, large proportion of fertilized eggs display discrepancies in egg activation and fail to proceed beyond stage 5 of embryogenesis. Hence, reduction of the Mlh1 protein level leads to defective oocytes that fail to complete embryogenesis after fertilization thereby reducing female fertility.     

The conditions required for the induction of petite yeast mutants by fluorinated pyrimidines

Summary Newly magnified bobbed loci, combined with bb⁺ or bb^o loci, are in certain cases unstable. This may lead either to a reversion to the original bobbed mutation, or to lethal bobbed mutations. We name this instability modification. Modification occurs very early during the first divisions following fecondation of eggs, in embryos heterozygous for a magnified bobbed locus and a bb⁺ or bb^o locus. The phenomenon of modification is consistent with the model proposed by Ritossa (1972) to account for the phenomenom of magnification.     

The modification of crossing over in maize by extraneous chromosomal elements

Summary Five regions of the maize genome were tested for their response to endogenous factors influencing recombination. These included heterochromatic B chromosomes and abnormal chromosome 10 as well as the sex in which recombination occurred.The frequency of recombination in the proximal A ₂-Bt and Bt-Pr segments of chromosome 5 was increased in the presence of B chromosomes, with the male meiocytes showing a greater response than the female meiocytes. In addition, experiments involving 0, 1, 2 and 4 B's revealed a dosage effect of B chromosomes on crossing over in chromosome 5. Recombination in the proximal Wx-Gl ₁₅ interval of chromosome 9 was found to be slightly higher than normal in male flowers when two B chromosomes were present. This increase was accompanied by a decrease in the adjacent Sh-Wx segment. Crossing over in the distal C-Sh segment and in the C-Sh-Wx-Gl ₁₅ regions of female flowers was unaffected by B's.Comparisons of plants heterozygous for abnormal chromosome 10 (K10 k10) and homozygous for the standard chromosome 10 (k10 k10) showed that abnormal 10 greatly enhances crossing over in the A ₂-Bt and Bt-Pr segments of chromosome 5. In contrast to the finding with B's, the effect is greater in female than in male sporocytes. K10 showed no significant effect on recombination in the C-Sh-Wx-Gl ₁₅ region of chromosome 9 except in male sporocytes, where there was a slight increase in the Sh-Wx region of 0 B K10 k10 plants and a possible interaction with B chromosomes to raise the level of recombination between Wx and Gl ₁₅. The fact that the regions adjacent to the centromere of chromosome 9 show little or no response to the presence of K10 indicates that the proximal heterochromatin of this chromosome differs qualitatively from that of other maize chromosomes. This conclusion is supported by a comparison of the effects of B chromosomes, K10 and sex on crossing over in chromosomes 5 and 9.Dedicated to Dr. M. M. Rhoades on the occasion of his seventieth birthday.