Liangran Zhang

Meiotic double-strand breaks occur once per pair of (sister) chromatids and, via Mec1/ATR and Tel1/ATM, once per quartet of chromatids.

Meiotic recombination initiates via programmed double-strand breaks (DSBs). We investigate whether, at a given initiation site, DSBs occur independently among the four available chromatids. For a single DSB “hot spot”, the proportions of nuclei exhibiting zero, one, or two (or more) observable events were defined by tetrad analysis and compared with those predicted by different DSB distribution scenarios. Wild-type patterns are incompatible with independent distribution of DSBs among the four chromatids. In most or all nuclei, DSBs occur one-per-pair of chromatids, presumptively sisters. In many nuclei, only one DSB occurs per four chromatids, confirming the existence of trans inhibition where a DSB on one chromosome interactively inhibits DSB formation on the partner chromosome. Several mutants exhibit only a one-per-pair constraint, a phenotype we propose to imply loss of trans inhibition. Signal transduction kinases Mec1 (ATR) and Tel1 (ATM) exhibit this phenotype and thus could be mediators of this effect. Spreading trans inhibition can explain even spacing of total recombinational interactions and implies that establishment of interhomolog interactions and DSB formation are homeostatic processes. The two types of constraints on DSB formation provide two different safeguards against recombination failure during meiosis.

Topoisomerase II mediates meiotic crossover interference

Spatial patterning is a ubiquitous feature of biological systems. Meiotic crossovers provide an interesting example, defined by the classic phenomenon of crossover interference. Here we identify a molecular pathway for interference by analysing crossover patterns in budding yeast. Topoisomerase II plays a central role, thus identifying a new function for this critical molecule. SUMOylation (of topoisomerase II and axis component Red1) and ubiquitin-mediated removal of SUMOylated proteins are also required. The findings support the hypothesis that crossover interference involves accumulation, relief and redistribution of mechanical stress along the protein/DNA meshwork of meiotic chromosome axes, with topoisomerase II required to adjust spatial relationships among DNA segments.

Crossover patterning by the beam-film model: analysis and implications.

Crossing-over is a central feature of meiosis. Meiotic crossover (CO) sites are spatially patterned along chromosomes. CO-designation at one position disfavors subsequent CO-designation(s) nearby, as described by the classical phenomenon of CO interference. If multiple designations occur, COs tend to be evenly spaced. We have previously proposed a mechanical model by which CO patterning could occur. The central feature of a mechanical mechanism is that communication along the chromosomes, as required for CO interference, can occur by redistribution of mechanical stress. Here we further explore the nature of the beam-film model, its ability to quantitatively explain CO patterns in detail in several organisms, and its implications for three important patterning-related phenomena: CO homeostasis, the fact that the level of zero-CO bivalents can be low (the “obligatory CO”), and the occurrence of non-interfering COs. Relationships to other models are discussed.

Meiotic crossover patterns: Obligatory crossover, interference and homeostasis in a single process

During meiosis, crossover recombination is tightly regulated. A spatial patterning phenomenon known as interference ensures that crossovers are well-spaced along the chromosomes. Additionally, every pair of homologs acquires at least one crossover. A third feature, crossover homeostasis, buffers the system such that the number of crossovers remains steady despite decreases or increases in the number of earlier recombinational interactions. Here we summarize recent work from our laboratory supporting the idea that all 3 of these aspects are intrinsic consequences of a single basic process and suggesting that the underlying logic of this process corresponds to that embodied in a particular (beam-film) model.

E3 ligase Hei10: a multifaceted structure-based signaling molecule with roles within and beyond meiosis

Human enhancer of invasion-10 (Hei10) mediates meiotic recombination and also plays roles in cell proliferation. Here we explore Hei10s roles throughout the sexual cycle of the fungus Sordaria with respect to localization and effects of null, RING-binding, and putative cyclin-binding (RXL) domain mutations. Hei10 makes three successive types of foci. Early foci form along synaptonemal complex (SC) central regions. At some of these positions, depending on its RING and RXL domains, Hei10 mediates development and turnover of two sequential types of recombination complexes, each demarked by characteristic amplified Hei10 foci. Integration with ultrastructural data for recombination nodules further reveals that recombination complexes differentiate into three types, one of which corresponds to crossover recombination events during or prior to SC formation. Finally, Hei10 positively and negatively modulates SUMO localization along SCs by its RING and RXL domains, respectively. The presented findings suggest that Hei10 integrates signals from the SC, associated recombination complexes, and the cell cycle to mediate both the development and programmed turnover/evolution of recombination complexes via SUMOylation/ubiquitination. Analogous cell cycle-linked assembly/disassembly switching could underlie localization and roles for Hei10 in centrosome/spindle pole body dynamics and associated nuclear trafficking. We suggest that Hei10 is a unique type of structure-based signal transduction protein.

Interference-mediated synaptonemal complex formation with embedded crossover designation

Significance Spatial patterns occur in biological and nonbiological systems. A paradigmatic example occurs during meiosis. As shown a century ago, crossover recombination events occur at different positions in different meiotic nuclei; nonetheless, occurrence of a cross-over at one position decreases the probability that another will occur nearby. As a result, crossovers tend to be evenly spaced. This study suggests that this classical cross-over interference is part of a broader program that concomitantly specifies even spacing of nucleation sites for formation of synaptonemal complex, a prominent meiotic chromosome structure. A model emerges for how the observed patterns could occur. This model provides an explanation for the formation of complex, multilayered patterns that is generally applicable to biological and nonbiological systems. Biological systems exhibit complex patterns at length scales ranging from the molecular to the organismic. Along chromosomes, events often occur stochastically at different positions in different nuclei but nonetheless tend to be relatively evenly spaced. Examples include replication origin firings, formation of chromatin loops along chromosome axes and, during meiosis, localization of crossover recombination sites (“crossover interference”). We present evidence in the fungus Sordaria macrospora that crossover interference is part of a broader pattern that includes synaptonemal complex (SC) nucleation. This pattern comprises relatively evenly spaced SC nucleation sites, among which a subset are crossover sites that show a classical interference distribution. This pattern ensures that SC forms regularly along the entire length of the chromosome as required for the maintenance of homolog pairing while concomitantly having crossover interactions locally embedded within the SC structure as required for both DNA recombination and structural events of chiasma formation. This pattern can be explained by a threshold-based designation and spreading interference process. This model can be generalized to give diverse types of related and/or partially overlapping patterns, in two or more dimensions, for any type of object.

Absence of SUN-domain protein Slp1 blocks karyogamy and switches meiotic recombination and synapsis from homologs to sister chromatids

Significance Meiosis is the specialized cellular program that generates gametes for sexual reproduction. In the fungus Sordaria macrospora karyogamy is required to produce the diploid cell that enters the meiotic program. In absence of the mid-Sad1p, UNC-84–domain sun like protein 1, karyogamy does not occur. Meiosis nonetheless proceeds efficiently in the two haploid nuclei, but with the entire program of interhomolog events now occurring instead between sister chromatids, including spatially patterned recombination and synaptonemal complex formation. As a result, significant levels of gametes are still formed. In contrast, other cases of meiosis in haploid genome complements exhibit inefficient or aberrant chromosomal programs. We thus propose that Sordaria can sense the absence of karyogamy so as to trigger an appropriately regular response. Karyogamy, the process of nuclear fusion is required for two haploid gamete nuclei to form a zygote. Also, in haplobiontic organisms, karyogamy is required to produce the diploid nucleus/cell that then enters meiosis. We identify sun like protein 1 (Slp1), member of the mid–Sad1p, UNC-84–domain ubiquitous family, as essential for karyogamy in the filamentous fungus Sordaria macrospora, thus uncovering a new function for this protein family. Slp1 is required at the last step, nuclear fusion, not for earlier events including nuclear movements, recognition, and juxtaposition. Correspondingly, like other family members, Slp1 localizes to the endoplasmic reticulum and also to its extensions comprising the nuclear envelope. Remarkably, despite the absence of nuclear fusion in the slp1 null mutant, meiosis proceeds efficiently in the two haploid “twin” nuclei, by the same program and timing as in diploid nuclei with a single dramatic exception: the normal prophase program of recombination and synapsis between homologous chromosomes, including loading of recombination and synaptonemal complex proteins, occurs instead between sister chromatids. Moreover, the numbers of recombination-initiating double-strand breaks (DSBs) and ensuing recombinational interactions, including foci of the essential crossover factor Homo sapiens enhancer of invasion 10 (Hei10), occur at half the diploid level in each haploid nucleus, implying per-chromosome specification of DSB formation. Further, the distribution of Hei10 foci shows interference like in diploid meiosis. Centromere and spindle dynamics, however, still occur in the diploid mode during the two meiotic divisions. These observations imply that the prophase program senses absence of karyogamy and/or absence of a homolog partner and adjusts the interchromosomal interaction program accordingly.

Quantitative Modeling and Automated Analysis of Meiotic Recombination

Many morphological features, in both physical and biological systems, exhibit spatial patterns that are specifically characterized by a tendency to occur with even spacing (in one, two, or three dimensions). The positions of crossover (CO) recombination events along meiotic chromosomes provide an interesting biological example of such an effect. In general, mechanisms that explain such patterns may (a) be mechanically based, (b) occur by a reaction-diffusion mechanism in which macroscopic mechanical effects are irrelevant, or (c) involve a combination of both types of effects. We have proposed that meiotic CO patterns arise by a mechanical mechanism, have developed mathematical expressions for such a process based on a particular physical system with analogous properties (the so-called beam-film model), and have shown that the beam-film model can very accurately explain experimental CO patterns as a function of the values of specific defined parameters. Importantly, the mathematical expressions of the beam-film model can apply quite generally to any mechanism, whether it involves mechanical components or not, as long as its logic and component features correspond to those of the beam-film system. Furthermore, via its various parameters, the beam-film model discretizes the patterning process into specific components. Thus, the model can be used to explore the theoretically predicted effects of various types of changes in the patterning process. Such predictions can expand detailed understanding of the bases for various biological effects. We present here a new MATLAB program that implements the mathematical expressions of the beam-film model with increased robustness and accessibility as compared to programs presented previously. As in previous versions, the presented program permits both (1) simulation of predicted CO positions along chromosomes of a test population and (2) easy analysis of CO positions, both for experimental data sets and for data sets resulting from simulations. The goal of the current presentation is to make these approaches more readily accessible to a wider audience of researchers. Also, the program is easily modified, and we encourage interested users to make changes to suit their specific needs. A link to the program is available on the Kleckner laboratory website: http://projects.iq.harvard.edu/kleckner_lab .