Centromeres are unique loci on eukaryotic chromosomes and are complexed with centromere-specific histone H3 molecules (CENP-A in mammals, Cse4 in yeast). The centromere provides the binding site for the kinetochore that captures microtubules and provides the mechanical linkage required for chromosome segregation. Centromeres encounter fluctuations in force as chromosomes jockey for position on the metaphase spindle. We have developed biological assays to examine the response of centromeres to high force. Torsional stress is induced on covalently closed DNA circles from supercoiling. Plasmid-borne centromeres with single-nucleotide inactivating mutations exhibit a high conversion frequency to plasmid dimer species. Conversion to dimers is dependent on the activity of the Rad1 single-strand endonuclease, indicative of unwinding a region of the centromere sequence in the absence of a functional kinetochore. To determine the region of unwinding, we used conditionally functional dicentric chromosomes to exert tension. Centromere DNA is exquisitely sensitive to cleavage following activation of the dicentric chromosome. Cleavage is dependent on the action of Rad1, highlighting the propensity of centromeres to unwind in response to supercoiling or mechanical stress. These studies provide mechanistic insights into the evolution of AT-rich pericentromere DNA throughout phylogeny and suggest a mechanism for stress-induced error correction at the centromere.

An example system of collective behavior in the presence of active agents is the structural maintenance of chromosome (SMC) protein complexes within the nucleus that create an architecture to facilitate the organization and proper function of the genome. Of the diverse functions these SMC proteins are capable of producing, we focus on the creation of localized clusters of chromatin in the nucleolus through transient cross-links. Large-scale simulations revealed three different dynamic behaviors as a function of timescale: slow cross-linking leads to no clusters, fast cross-linking produces rigid slowly changing clusters, while intermediate timescales produce flexible clusters that mediate gene interaction. By mathematically analyzing different relative scalings of the two sources of stochasticity, thermal fluctuations, and the force induced by the transient cross-links, we predict these three distinct regimes of cluster behavior. Standard time averaging that takes the fluctuations of the transient cross-link force to zero predicts the existence of rigid clusters. Accounting for the interaction of both fluctuations from the cross-links and thermal noise with an effective energy landscape predicts the timescale-dependent lifetimes of flexible clusters. No clusters are predicted when the fluctuations of the transient cross-link force are taken to be large relative to thermal fluctuations. This mathematical perturbation analysis illuminates the importance of accounting for stochasticity in local incoherent transient forces to predict emergent complex biological behavior.

In eukaryotic cells, the nucleolus is a pivotal subnuclear organelle, instrumental in ribosomal RNA synthesis and nuclear organization. Although the unique viscoelastic properties of the nucleolus are associated with transient interactions between chromatin and regulatory proteins, the specific mechanistic details driving nucleolar phase separation and mechanical responses have remained largely undefined. In this study, we employ a computational approach to elucidate chromatin-protein interactions within the nucleolus of budding yeast, using a sophisticated bead-spring polymer model. This model integrates DNA and nucleolar architectures with dynamic simulations of interactions involving chromosomal structural maintenance proteins and rDNA transcriptional regulators through systematically varied cross-linking kinetics. Our findings reveal that modulations in protein-DNA interactions critically dictate the phase behavior, relaxation dynamics, and viscoelastic properties of the nucleolus, underscoring a complex but precise regulatory mechanism at play. Notably, protein-mediated bridging emerges as a critical factor enhancing nucleolar condensation and modulating stress relaxation, highlighting the transformative role of transient cross-linking in nuclear mechanics regulation. These insights not only deepen our understanding of nucleolar function but also open avenues for interventions in genetic engineering and disease therapeutics.

Chromatin compaction defines genome topology, evolution, and function. The Saccharomycotina subphylum, including the fermenting yeast Saccharomyces cerevisiae have a decompacted genome, possibly because they lost two genes mediating a specific histone lysine methylation and histone binding protein heterochromatin protein 1 (HP1). This decompaction may result in the higher-than-expected mutation and meiotic recombination rates observed in this species. To test this hypothesis, we retro-engineered S. cerevisiae to compact the genome by expressing the HP1 homologue of Schizosaccharomyces pombe SpSwi6 and H3K9 methyltransferase SpClr4. The resulting strain had significantly more compact chromatin and reduced rates of mutation and meiotic recombination. The increased genomic stability significantly prolongs the optogenetic control of an engineered strain designed to grow only in blue light. This result demonstrates the potential of our approach to enhance the stability of strains for metabolic engineering and other synthetic biology applications, which are prone to lose activities due to genetic instability. ### Competing Interest Statement The authors have declared no competing interest.

Pericentromeric bottlebrush converts DNA into a stiff spring through density and organization of loops relative to the mitotic spindle axis. This spring is integral to tension-sensing mechanisms required for faithful chromosome segregation. Cohesin enrichment is a hallmark of yeast pericentric loops. We used haploid yeasts engineered to contain two instead of the normal 16 chromosomes to determine the number of centromeres required for cohesin loading to form a pericentric bottlebrush. In wild-type yeasts, the mitotic spindle is 1.5 µm long and 16 centromeres appear in tight clusters. Cohesin surrounds the metaphase spindle forming a cylindrical barrel and cross-linking the radial array of chromatin loops. In the two-chromosome strain, our findings show a disrupted cohesin barrel and a longer spindle (∼2.4 µm). The reduction in spring stiffness would lead to the increase in spindle length necessary to achieve a force balance with spindle microtubules. In the two-chromosome strain kinetochores are declustered. Additionally, coordination between the clusters moving toward the poles (anaphase A) and spindle elongation (anaphase B) is abrogated resulting in a mid-anaphase pause. The lack of anaphase A suggests that release and expansion of hitherto confined DNA loops contributes to synchronous chromosome segregation in anaphase.

The kinetochore, a megadalton structure composed of centromeric (CEN) DNA and protein complexes, is required for faithful chromosome segregation in eukaryotes. The evolutionarily conserved Dam1/DASH complex (Ska1 in metazoans) is one of the essential protein sub-complexes of the budding yeast kinetochore. Previous studies showed that methylation of lysine residue 233 in Dam1 by Set1 is important for haploid growth as mutation of lysine 233 to alanine results in lethality. In this study, we report that Set1-mediated cell cycle dependent Dam1 lysine methylation contributes to kinetochore assembly and chromosomal stability. Our results show that Dam1 methylation is cell cycle regulated with the highest levels of methylation in metaphase. Consistent with these results, co-immunoprecipitation experiments revealed an interaction between Dam1 with Set1 in metaphase cells. Set1 has been shown to colocalize with Jhd2, a histone lysine demethylase which demethylates Set1-methylated histones. Affinity purification-based mass spectroscopy of Jhd2 associated proteins identified seven of the ten subunits of the Dam1 complex; an association of Jhd2 with non-histone proteins, such as Dam1 has not been previously reported. We confirmed the interaction of Jhd2 with Dam1 and showed that cells overexpressing JHD2 exhibit reduced levels of methylated lysine in Dam1 in wild type and UBP8 deletion strains, growth defects in kinetochore mutants, reduced levels of kinetochore proteins at CEN chromatin, defects in kinetochore biorientation and chromosome missegregation. In summary, we have shown that cell cycle dependent methylation of Dam1 plays a crucial role in the maintenance of kinetochore assembly for faithful chromosome segregation.

Turning centromere DNA into a mechanical spring is central to the fidelity of chromosome segregation. A recent study shows how centromere DNA loops and partitioning cohesin and condensin convert centromeres and pericentromeres into bipartite bottlebrushes.

The network structure of densely packed chromatin within the nucleus of eukaryotic cells acts in concert with nonequilibrium processes. Using statistical physics simulations, we explore the control provided by transient crosslinking of the chromatin network by structural-maintenance-of-chromosome (SMC) proteins over (i) the physical properties of the chromatin network and (ii) condensate formation of embedded molecular species. We find that the density and lifetime of transient SMC crosslinks regulate structural relaxation modes and tune the sol-vs-gel state of the chromatin network, which imparts control over the kinetic pathway to condensate formation. Specifically, lower density, shorter-lived crosslinks induce sollike networks and a droplet-fusion pathway, whereas higher density, longer-lived crosslinks induce gellike networks and an Ostwald-ripening pathway.

Chromatin is a dynamic polymer in constant motion. These motions are heterogeneous between cells and within individual cell nuclei and are profoundly altered in response to DNA damage. The shifts in chromatin motions following genomic insults depend on the temporal and physical scales considered. They are also distinct in damaged and undamaged regions. In this review, we emphasize the role of chromatin tethering and loop formation in chromatin dynamics, with the view that pulsing loops are key contributors to chromatin motions. Chromatin tethers likely mediate micron-scale chromatin coherence predicted by polymer models and measured experimentally, and we propose that remodeling of the tethers in response to DNA breaks enables uncoupling of damaged and undamaged chromatin regions.

Desiccation kills most cells. Some proteins have been identified to help certain cells survive desiccation, but many protein protectants are likely to be unknown. Moreover, the mechanisms ensuring protection of key cellular components are incompletely understood. We devised an expression-cloning approach to discover further protectants. We expressed cDNA libraries from two species of tardigrades in E. coli, and we subjected the bacteria to desiccation to select for survivors. Sequencing the populations of surviving bacteria revealed enrichment of mitochondrial single-stranded DNA-binding proteins (mtSSBs) from both tardigrade species. Expression of mtSSBs in bacteria improved desiccation survival as strongly as the best tardigrade protectants known to date. We found that DNA-binding activity of mtSSBs was necessary and sufficient to improve the desiccation tolerance of bacteria. Although tardigrade mtSSBs were among the strongest protectants we found, single-stranded DNA binding proteins in general offered some protection. These results identify single-stranded DNA-binding proteins as potent desicco-protectants.

Within the nucleus, structural maintenance of chromosome protein complexes, namely condensin and cohesin, create an architecture to facilitate the organization and proper function of the genome. Condensin, in addition to performing loop extrusion, creates localized clusters of chromatin in the nucleolus through transient crosslinks. Large-scale simulations revealed three different dynamic behaviors as a function of timescale: slow crosslinking leads to no clusters, fast crosslinking produces rigid slowly changing clusters, while intermediate timescales produce flexible clusters that mediate gene interaction. By mathematically analyzing different relative scalings of the two sources of stochasticity, thermal fluctuations and the force induced by the transient crosslinks, we predict these three distinct regimes of cluster behavior. Standard time-averaging that takes the fluctuations of the transient crosslink force to zero predicts the existence of rigid clusters. Accounting for the interaction of both fluctuations from the crosslinks and thermal noise with an effective energy landscape predicts the timescale-dependent lifetimes of flexible clusters. No clusters are predicted when the fluctuations of the transient crosslink force are taken to be large relative to thermal fluctuations. This mathematical perturbation analysis illuminates the importance of accounting for stochasticity in local incoherent transient forces to predict emergent complex biological behavior.

We present a novel method for identifying topological features of chromatin domains in live cells using single-particle tracking and topological data analysis (TDA). By applying TDA to particle trajectories, we can effectively detect complex spatial patterns, such as loops, that are often missed by traditional time series analysis. Using simulations of polymer bead-spring chains, we have validated the accuracy of our method and determined its limitations for detecting loops. Our approach offers a promising avenue for exploring the topological complexity of chromatin in living cells using TDA techniques.

In yeasts and higher eukaryotes, chromatin motions may be tuned to genomic functions, with transcriptional activation and the DNA damage response both leading to profound changes in chromatin dynamics. The RAD51 recombinase is a key mediator of chromatin mobility following DNA damage. As functions of RAD51 beyond DNA repair are being discovered, we asked whether RAD51 modulates chromatin dynamics in the absence of DNA damage and found that inhibition or depletion of RAD51 alters chromatin motions in undamaged cells. Inhibition of RAD51 increased nucleosome clustering. Predictions from polymer models are that chromatin clusters reduce chain mobility and, indeed, we measured reduced motion of individual chromatin loci in cells treated with a RAD51 inhibitor. This effect was conserved in mammalian cells, yeasts, and plant cells. In contrast, RAD51 depletion or inhibition increased global chromatin motions at the microscale. The results uncover a role for RAD51 in regulating local and global chromatin dynamics independently from DNA damage and highlight the importance of considering different physical scales when studying chromatin dynamics.

Chromosomes with two centromeres provide a unique opportunity to study chromosome breakage and DNA repair using completely endogenous cellular machinery. Using a conditional transcriptional promoter to control the second centromere, we are able to activate the dicentric chromosome and follow the appearance of DNA repair products. We find that the rate of appearance of DNA repair products resulting from homology-based mechanisms exceeds the expected rate based on their limited centromere homology (340 bp) and distance from one another (up to 46.3 kb). In order to identify whether DNA breaks originate in the centromere, we introduced 12 single-nucleotide polymorphisms (SNPs) into one of the centromeres. Analysis of the distribution of SNPs in the recombinant centromeres reveals that recombination was initiated with about equal frequency within the conserved centromere DNA elements CDEII and CDEIII of the two centromeres. The conversion tracts range from about 50 bp to the full length of the homology between the two centromeres (340 bp). Breakage and repair events within and between the centromeres can account for the efficiency and distribution of DNA repair products. We propose that in addition to providing a site for kinetochore assembly, the centromere may be a point of stress relief in the face of genomic perturbations.

Table S1: Antibodies used in this paper.

Transient DNA loops occur throughout the genome due to thermal fluctuations of DNA and the function of SMC complex proteins such as condensin and cohesin. Transient crosslinking within and between chromosomes and loop extrusion by SMCs have profound effects on high-order chromatin organization and exhibit specificity in cell type, cell cycle stage, and cellular environment. SMC complexes anchor one end to DNA with the other extending some distance and retracting to form a loop. How cells regulate loop sizes and how loops distribute along chromatin are emerging questions. To understand loop size regulation, we employed bead–spring polymer chain models of chromatin and the activity of an SMC complex on chromatin. Our study shows that (1) the stiffness of the chromatin polymer chain, (2) the tensile stiffness of chromatin crosslinking complexes such as condensin, and (3) the strength of the internal or external tethering of chromatin chains cooperatively dictate the loop size distribution and compaction volume of induced chromatin domains. When strong DNA tethers are invoked, loop size distributions are tuned by condensin stiffness. When DNA tethers are released, loop size distributions are tuned by chromatin stiffness. In this three-way interaction, the presence and strength of tethering unexpectedly dictates chromatin conformation within a topological domain.

A growing list of diverse biological systems and their equally diverse functionalities provides realizations of a paradigm of emergent behavior. In each of these biological systems, pervasive ensembles of weak, short-lived, spatially local interactions act autonomously to convey functionalities at larger spatial and temporal scales. In this article, a range of diverse systems and functionalities are presented in a cursory manner with literature citations for further details. Then two systems and their properties are discussed in more detail: yeast chromosome biology and human respiratory mucus.

Partitioning of active gene loci to the nuclear envelope (NE) is a mechanism by which organisms increase the speed of adaptation and metabolic robustness to fluctuating resources in the environment. In the yeast Saccharomyces cerevisiae, adaptation to nutrient depletion or other stresses, manifests as relocalization of active gene loci from nucleoplasm to the NE, resulting in more efficient transport and translation of mRNA. The mechanism by which this partitioning occurs remains a mystery. Here, we demonstrate that the yeast inositol depletion-responsive gene locus INO1 partitions to the nuclear envelope, driven by local histone acetylation-induced polymer-polymer phase separation from the nucleoplasmic phase. This demixing is consistent with recent evidence for chromatin phase separation by acetylation-mediated dissolution of multivalent histone association and fits a physical model where increased bending stiffness of acetylated chromatin polymer causes its phase separation from de-acetylated chromatin. Increased chromatin spring stiffness could explain nucleation of transcriptional machinery at active gene loci.