Elasticity and structure of eukaryote chromosomes studied by micromanipulation and micropipette aspiration

Micromechanics of human mitotic chromosomes

Eukaryote cells dramatically reorganize their long chromosomal DNAs to facilitate their physical segregation during mitosis. The internal organization of folded mitotic chromosomes remains a basic mystery of cell biology; its understanding would likely shed light on how chromosomes are separated from one another as well as into chromosome structure between cell divisions. We report biophysical experiments on single mitotic chromosomes from human cells, where we combine micromanipulation, nano-Newton-scale force measurement and biochemical treatments to study chromosome connectivity and topology. Results are in accord with previous experiments on amphibian chromosomes and support the 'chromatin network' model of mitotic chromosome structure. Prospects for studies of chromosome-organizing proteins using siRNA expression knockdowns, as well as for differential studies of chromosomes with and without mutations associated with genetic diseases, are also discussed.

Chromatin higher-order structure and dynamics

The primary role of the nucleus as an information storage, retrieval, and replication site requires the physical organization and compaction of meters of DNA. Although it has been clear for many years that nucleosomes constitute the first level of chromatin compaction, this contributes a relatively small fraction of the condensation needed to fit the typical genome into an interphase nucleus or set of metaphase chromosomes, indicating that there are additional "higher order" levels of chromatin condensation. Identifying these levels, their interrelationships, and the principles that govern their occurrence has been a challenging and much discussed problem. In this article, we focus on recent experimental advances and the emerging evidence indicating that structural plasticity and chromatin dynamics play dominant roles in genome organization. We also discuss novel approaches likely to yield important insights in the near future, and suggest research areas that merit further study.

Condensin regulates the stiffness of vertebrate centromeres

When chromosomes are aligned and bioriented at metaphase, the elastic stretch of centromeric chromatin opposes pulling forces exerted on sister kinetochores by the mitotic spindle. Here we show that condensin ATPase activity is an important regulator of centromere stiffness and function. Condensin depletion decreases the stiffness of centromeric chromatin by 50% when pulling forces are applied to kinetochores. However, condensin is dispensable for the normal level of compaction (rest length) of centromeres, which probably depends on other factors that control higher-order chromatin folding. Kinetochores also do not require condensin for their structure or motility. Loss of stiffness caused by condensin-depletion produces abnormal uncoordinated sister kinetochore movements, leads to an increase in Mad2(+) kinetochores near the metaphase plate and delays anaphase onset.

An integrated mechanobiochemical feedback mechanism describes chromosome motility from prometaphase to anaphase in mitosis

During mitosis, chromosomes undergo a series of movements while being end-on attached to the kinetochore microtubules (KMTs) from spindle poles. The mechanism underlying such movements and their physiological functions remains elusive. We describe a mechanobiochemical feedback model of chromosome motility. The key ingredient is a feedback mechanism between the local chemical reactions that control the dynamics of KMTs and the mechanical state of the chromosome via tension-sensitive proteins localized at the kinetochores. This model can recapitulate all of the essential and distinct features of chromosome motilities from prometaphase to anaphase in a coherent manner. We further show that this feedback mechanism provides robust and precise means of guiding the chromosome to the cell equator regardless of the initial conditions and uncertainty in velocity. Predictions of our model can be tested experimentally.

Micromechanical studies of mitotic chromosomes

Mitotic chromosomes respond elastically to forces in the nanonewton range, a property important to transduction of stresses used as mechanical regulatory signals during cell division. In addition to being important biologically, chromosome elasticity can be used as a tool for investigating the folding of chromatin. This paper reviews experiments studying stretching and bending stiffness of mitotic chromosomes, plus experiments where changes in chromosome elasticity resulting from chemical and enzyme treatments were used to analyse connectivity of chromatin inside chromosomes. Experiments with nucleases indicate that non-DNA elements constraining mitotic chromatin must be isolated from one another, leading to the conclusion that mitotic chromosomes have a chromatin 'network' or 'gel' organization, with stretches of chromatin strung between 'crosslinking' points. The as-yet unresolved questions of the identities of the putative chromatin crosslinkers and their organization inside mitotic chromosomes are discussed.

Topoisomerase II inactivation prevents the completion of DNA replication in budding yeast

Type II topoisomerases are essential for resolving topologically entwined double-stranded DNA. Although anti-topoisomerase 2 (Top2) drugs are clinically important antibiotics and chemotherapies, to our knowledge, the mechanisms of cell killing by Top2 depletion and inactivation have never been directly compared. We show that depletion of Top2 protein from budding yeast cells prevents DNA decatenation during S phase. Cells complete DNA replication and enter the ensuing mitosis on schedule, suffering extensive chromosome missegregation. Cytokinesis through incompletely segregated chromosomes causes lethal DNA damage. By contrast, expression of catalytically inactive Top2 causes a stable G2 arrest requiring an intact DNA damage checkpoint. Checkpoint activation correlates with an inability to complete DNA replication, resulting in hypercatenated, gapped daughter DNA molecules. Thus, Top2 depletion and inactivation kill cells by different mechanisms, which has implications for understanding the nature of the catenation checkpoint, how DNA replication terminates, how anti-Top2 drugs work, and how new drugs might be designed.

Influence of the methacrylate monolith structure on genomic DNA mechanical degradation, enzymes activity and clogging

The chromatography of mechanically sensitive macromolecules still represents a challenge. While larger pores can reduce the mechanically induced cleavage of large macromolecules and column clogging, the column performance inevitably decreases. To investigate the effect of pore size on the mechanical degradation of DNA, column permeability and enzyme biological activity, methacrylate monoliths with different pore sizes were tested. Monolith with a 143 nm pore radius mechanically damaged the DNA and was clogged at flow rates above 0.5 ml min(-1) (26 cm h(-1)). For monoliths with a pore radius of 634 nm and 2900 nm, no mechanical degradation of DNA was observed up to 5 ml min(-1) (265 cm h(-1)) above which the HPLC itself became the main source of damage. A decrease of a permeability appeared at flow rate 1.8 ml min(-1) (95 cm h(-1)) and 2.3 ml min(-1) (122 cm h(-1)), respectively. The effect of the pore size on enzyme biological activity was tested with immobilized DNase and trypsin on all three monoliths. Although the highest amount of enzyme was immobilized on the monolith with the smallest pores, monolith with the pore radius 634 nm exhibited the highest DNase biological activity probably due to restricted access for DNA molecules into the small pores. Interestingly, specific biological activity was increasing with a pore size decrease. This was attributed to higher number of contacts between a substrate and immobilized ligand.

Efficiency of a self-aminoacylating ribozyme: effect of the length and base-composition of its 3' extension

Variants of a previously described small self-aminoacylating ribozyme are tested in order to uncover the potentialities of a 3' extension responsible for the esterification. The base-composition and the length of this specific part of the ribozyme are investigated. Very short extensions can still reach the active site, reflecting the small persistence length of RNA. The yield of aminoacylation is particularly high for ribozymes with extensions made up of a poly-U, for which a maximum of efficiency is observed for a total length of about 10 nucleotides. A simple model describing the behavior of this region of the ribozyme can account for the data.

BLM is required for faithful chromosome segregation and its localization defines a class of ultrafine anaphase bridges

Mutations in BLM cause Bloom's syndrome, a disorder associated with cancer predisposition and chromosomal instability. We investigated whether BLM plays a role in ensuring the faithful chromosome segregation in human cells. We show that BLM-defective cells display a higher frequency of anaphase bridges and lagging chromatin than do isogenic corrected derivatives that eptopically express the BLM protein. In normal cells undergoing mitosis, BLM protein localizes to anaphase bridges, where it colocalizes with its cellular partners, topoisomerase IIIalpha and hRMI1 (BLAP75). Using BLM staining as a marker, we have identified a class of ultrafine DNA bridges in anaphase that are surprisingly prevalent in the anaphase population of normal human cells. These so-called BLM-DNA bridges, which also stain for the PICH protein, frequently link centromeric loci, and are present at an elevated frequency in cells lacking BLM. On the basis of these results, we propose that sister-chromatid disjunction is often incomplete in human cells even after the onset of anaphase. We present a model for the action of BLM in ensuring complete sister chromatid decatenation in anaphase.

Measuring structural dynamics of chromosomes in living cells by fluorescence microscopy

Mitotic and meiotic chromosomes are the compact packages that faithfully transport the genetic and epigenetic information to the following cell generations. How chromatin dynamically cycles between the decompacted interphase state that supports transcription and replication and the compacted state required for chromosome segregation is not understood. To address this long-standing problem, the structure of chromatin should ideally be studied in the physiological context of intact cells and organisms. We discuss here, the contributions that live-cell imaging can and has made to the study of mitotic chromosome compaction and highlight the power and limitations of this approach. We review methodologies used and suggest that combinatorial approaches and developing new imaging technologies will be key to shedding light on this long-standing question in cell biology.

Direct observation of nanomechanical properties of chromatin in living cells

Precise manipulation of nanometer-sized magnetic particles using magnetic tweezers has yielded insights into the rheology of the cell cytoplasm. We present first results using this approach to study the nanomechanics of the cell nucleus. Using a custom-designed micro-magnetic-tweezers instrument, we can achieve sufficiently high magnetic forces enabling the application and measurement of controlled distortion of the internal nuclear structure on the nanometer scale. We precisely measure the elasticity and viscosity inside the nucleus of living HeLa cells. The high value of the Young's modulus (Y = 2.5 x 10(2) Pa) measured relative to the cytoplasm is explained by a large-scale model for in vivo chromatin structure using a polymer network model.

Stretching short biopolymers by fields and forces

We study the mechanical properties of semiflexible polymers when the contour length of the polymer is comparable to its persistence length. We compute the exact average end-to-end distance and shape of the polymer for different boundary conditions, and show that boundary effects can lead to significant deviations from the well-known long-polymer results. We also consider the case of stretching a uniformly charged biopolymer by an electric field, for which we compute the average extension and the average shape, which is shown to be trumpetlike. Our results also apply to long biopolymers when thermal fluctuations have been smoothed out by a large applied field or force.

Examining how the spatial organization of chromatin signals influences metaphase spindle assembly

During cell division, the proper assembly of a microtubule-based bipolar spindle depends on signals from chromatin. However, it is unknown how the spatial organization of chromatin signals affects spindle morphology. Here, we use paramagnetic chromatin beads, and magnetic fields for their alignment in cell-free extracts, to examine the spatial components of signals that regulate spindle assembly. We find that for linear chromatin-bead arrays that vary by eightfold in length, metaphase spindle size and shape are constant. Our findings indicate that, although chromatin provides cues for microtubule formation, metaphase spindle organization, which is controlled by microtubule-based motors, is robust to changes in the shape of chromatin signals.

Monte Carlo simulation of chromatin stretching

We present Monte Carlo (MC) simulations of the stretching of a single chromatin fiber. The model approximates the DNA by a flexible polymer chain with Debye-Hückel electrostatics and uses a two-angle zigzag model for the geometry of the linker DNA connecting the nucleosomes. The latter are represented by flat disks interacting via an attractive Gay-Berne potential. Our results show that the stiffness of the chromatin fiber strongly depends on the linker DNA length. Furthermore, changing the twisting angle between nucleosomes from 90 degrees to 130 degrees increases the stiffness significantly. An increase in the opening angle from 22 degrees to 34 degrees leads to softer fibers for small linker lengths. We observe that fibers containing a linker histone at each nucleosome are stiffer compared to those without the linker histone. The simulated persistence lengths and elastic moduli agree with experimental data. Finally, we show that the chromatin fiber does not behave as an isotropic elastic rod, but its rigidity depends on the direction of deformation: Chromatin is much more resistant to stretching than to bending.

The influence of chromosome flexibility on chromosome transport during anaphase A

The role of protein flexibility in molecular motor function has previously been studied by considering a Brownian ratchet motor that is connected to its cargo by an elastic spring, with the result that the average velocity of the motor/cargo system is increased by reducing the stiffness of the linkage. Here, we extend this investigation to the case of chromosome transport during anaphase A, in which the relevant flexibility is not primarily in the motor/cargo linkage but rather in the cargo itself, i.e., in the chromosome. We model the motor mechanism as an imperfect Brownian ratchet with a built-in opposing load and the chromosome as a collection of discrete segments linked by an elastic energy function that discretizes the potential energy of an elastic rod. Thermal fluctuations are produced in the model by random forces, as in Brownian dynamics. All of the parameters that characterize the chromosome are known or can be estimated from experimental data, as can all but one of the motor parameters, which is adjusted to give the correct transport velocity of normal-length chromosomes. With the parameters so determined, we then reproduce the experimental finding of Nicklas [Nicklas, R. B. (1965) J. Cell Biol. 25, 119-135] that chromosome speed is essentially independent of chromosome length, even though our model contains no "velocity governor." We find instead that this effect is a consequence of chromosome flexibility, as it disappears when stiffer than normal chromosomes are considered.

Proteolysis of mitotic chromosomes induces gradual and anisotropic decondensation correlated with a reduction of elastic modulus and structural sensitivity to rarely cutting restriction enzymes

The effect of nonspecific proteolysis on the structure of single isolated mitotic newt chromosomes was studied using chromosome elastic response as an assay. Exposure to either trypsin or proteinase K gradually decondensed and softened chromosomes but without entirely eliminating their elastic response. Analysis of chromosome morphology revealed anisotropic decondensation upon digestion, with length increasing more than width. Prolonged protease treatment resulted only in further swelling of the chromosome without complete dissolution. Mild trypsinization induced sensitivity of chromosome elasticity to five- and six-base-specific restriction enzymes. These results, combined with previous studies of effects of nucleases on mitotic chromosome structure, indicate that mild proteolysis gradually reduces the density of chromatin-constraining elements in the mitotic chromosome, providing evidence consistent with an anisotropically folded "chromatin network" model of mitotic chromosome architecture.

Early spindle assembly in Drosophila embryos: role of a force balance involving cytoskeletal dynamics and nuclear mechanics

Mitotic spindle morphogenesis depends upon the action of microtubules (MTs), motors and the cell cortex. Previously, we proposed that cortical- and MT-based motors acting alone can coordinate early spindle assembly in Drosophila embryos. Here, we tested this model using microscopy of living embryos to analyze spindle pole separation, cortical reorganization, and nuclear dynamics in interphase-prophase of cycles 11-13. We observe that actin caps remain flat as they expand and that furrows do not ingress. As centrosomes separate, they follow a linear trajectory, maintaining a constant pole-to-furrow distance while the nucleus progressively deforms along the elongating pole-pole axis. These observations are incorporated into a model in which outward forces generated by zones of active cortical dynein are balanced by inward forces produced by nuclear elasticity and during cycle 13, by Ncd, which localizes to interpolar MTs. Thus, the force-balance driving early spindle morphogenesis depends upon MT-based motors acting in concert with the cortex and nucleus.

Chromatin organization measured by AluI restriction enzyme changes with malignancy and is regulated by the extracellular matrix and the cytoskeleton

Given that expression of many genes changes when cells become malignant or are placed in different microenvironments, we asked whether these changes were accompanied by global reorganization of chromatin. We reasoned that sequestration or exposure of chromatin-sensitive sites to restriction enzymes could be used to detect this reorganization. We found that AluI-sensitive sites of nonmalignant cells were relatively more exposed compared to their malignant counterparts in cultured cells and human tumor samples. Changes in exposure and sequestration of AluI-sensitive sites in normal fibroblasts versus fibrosarcoma or those transfected with oncogenes, nonmalignant breast cells versus carcinomas and poorly metastatic versus highly invasive melanoma were shown to be independent of the cell cycle and may be influenced by proteins rich in disulfide bonds. Remarkably, regardless of degree of malignancy, AluI-sensitive sites became profoundly sequestered when cells were incubated with laminin, Matrigel, or a circular RGD peptide (RGD-C), but became exposed when cells were placed on collagen I or in serum-containing medium. Disruption of the actin cytoskeleton led to exposure, whereas disruption of microtubules or intermediate filaments exerted a sequestering effect. Thus, AluI-sensitive sites are more sequestered with increasing malignant behavior, but the sequestration and exposure of these sites is exquisitely sensitive to information conferred to the cell by molecules and biomechanical forces that regulate cellular and tissue architecture.

[Centromere elasticity]

In addition to the role in the spindle apparatus and associated motors, the chromosome themselves play an important role in facilitating chromosome segregation. Sister chromatids are joined at the centromere through a protein complex called cohesin. Chromatids separation requires the degradation by separase of specific proteins acting as a glue to form the cohesin complex. This evolutionally complex is required for the establishment and maintenance of sister chromatids in a ring like structure. It is therefore a key question whether cohesin is indeed a main component of active centromere. Cohesin is insufficient to resist the splitting force exerted by microtubules until anaphase and must be renforced by cohesion provided by flanking DNA. The ring model suggests that cohesine might possess a considerable mobility when associated with chromatin. Observations demonstrate that the interior region of the centromere behaves as an elastic element. Chromosomes display remarkable elasticity, returning to their initial shape after being extended by up to 10 times. For larger deformations the thick filament is converted in thin filament which can be stretched six times before breaking. This article suggests an additional and novel role for the protein titin on chromosome structure and dynamic. Titine was identified as a chromosomal component and it was hypothesised that titin may provide elasticity to chromosome and resistance to chromosome breakages during mitosis. The elastic properties of purified titin correspond well to the elastic properties of chromosome in living cells. The deformability and bending rigidity are consistent with a model developed for titin elasticity. The association of the presence of cohesine ring and the activity of titin could be necessary for segregation.

Connecting mitotic instability and chromosome aberrations in cancer—can telomeres bridge the gap?

Gross mitotic disturbances are often found in malignant tumours, but not until recently have the molecular causes and the genomic consequences of these abnormalities started to become known. One potential source of mitotic instability is chromosomes with dysfunctional telomeres, giving rise to a high rate of chromatin bridges at anaphase. These bridges could lead either to structural chromosome rearrangements through chromatin fragmentation or to whole-chromosome losses through kinetochore-spindle detachment. Statistical meta-analyses have recently revealed that tumours with high rates of anaphase bridging, such as ovarian, head and neck, and pancreatic carcinomas, are characterised by multimodal distributions of genomic imbalances, consistent with a dramatically increased rate of chromosome rearrangements. In contrast, tumours without gross cell division disturbances are characterised by a monotonously decreasing distribution of genomic changes. This distribution follows a power-law, best described by a preferential attachment model in which the tolerance for chromosomal changes increases steadily with tumour growth. Even though many common cancers, such as breast, colorectal, and renal cell carcinomas adhere to this simple power-law dynamics, the underlying molecular mechanisms remain elusive.

Accurate height and volume measurements on soft samples with the atomic force microscope

The suitability of three common atomic force microscope (AFM) imaging modes for quantitative height and volume measurements on soft samples was investigated. The height and volume of rehydrated human metaphase chromosomes in liquid were measured using the contact mode, the tapping mode, and the force mapping mode. In both the contact and tapping modes, the measured height and volume strongly depended on the imaging setpoint that sets the imaging force. Measurement deviations up to 50% were observed. The force mapping mode, on the other hand, yielded reproducible height and volume measurements independent of the imaging force. It is therefore suggested that the force mapping mode should be used whenever the height or volume of soft samples need to be accurately determined.

The nuclear envelope lamina network has elasticity and a compressibility limit suggestive of a molecular shock absorber

Mechanical properties of the nuclear envelope have implications for cell and nuclear architecture as well as gene regulation. Using isolated Xenopus oocyte nuclei, we have established swelling conditions that separate the intact nuclear envelope (membranes, pore complexes and underlying lamin filament network) from nucleoplasm and the majority of chromatin. Swelling proves reversible with addition of high molecular mass dextrans. Micropipette aspiration of swollen and unswollen nuclear envelopes is also reversible and yields a network elastic modulus, unaffected by nucleoplasm, that averages 25 mN/m. Compared to plasma membranes of cells, the nuclear envelope is much stiffer and more resilient. Our results suggest that the nuclear lamina forms a compressed network shell of interconnected rods that is extensible but limited in compressibility from the native state, thus acting as a 'molecular shock absorber'. In light of the conservation of B-type lamins in metazoan evolution, the mechanical properties determined in this investigation suggest physical mechanisms by which mutated lamins can either destabilize nuclear architecture or influence nuclear responses to mechanical signals in Emery-Dreifuss muscular dystrophy, cardiomyopathy, progeria syndromes (premature 'aging') and other laminopathies.

Forces generated during actin-based propulsion: a direct measurement by micromanipulation

Dynamic actin networks generate forces for numerous types of movements such as lamellipodia protrusion or the motion of endocytic vesicles. The actin-based propulsive movement of Listeria monocytogenes or of functionalized microspheres have been extensively used as model systems to identify the biochemical components that are necessary for actin-based motility. However, quantitative force measurements are required to elucidate the mechanism of force generation, which is still under debate. To directly probe the forces generated in the process of actin-based propulsion, we developed a micromanipulation experiment. A comet growing from a coated polystyrene bead is held by a micropipette while the bead is attached to a force probe, by using a specially designed "flexible handle." This system allows us to apply both pulling and pushing external forces up to a few nanonewtons. By pulling the actin tail away from the bead at high speed, we estimate the elastic modulus of the gel and measure the force necessary to detach the tail from the bead. By applying a constant force in the range of -1.7 to 4.3 nN, the force-velocity relation is established. We find that the relation is linear for pulling forces and decays more weakly for pushing forces. This behavior is explained by using a dimensional elastic analysis.

Micromechanical studies of mitotic chromosomes

We review micromechanical experiments studying mechanoelastic properties of mitotic chromosomes. We discuss the history of this field, starting from the classic in vivo experiments of Nicklas (1983). We then focus on experiments where chromosomes were extracted from prometaphase cells and then studied by micromanipulation and microfluidic biochemical techniques. These experiments reveal that chromosomes have a well-behaved elastic response over a fivefold range of stretching, with an elastic modulus similar to that of a loosely tethered polymer network. Perturbation by microfluidic "spraying" of various ions reveals that the mitotic chromosome can be rapidly and reversibly decondensed or overcondensed, i.e., that the native state is not maximally compacted. We compare our results for chromosomes from cells to results of experiments by Houchmandzadeh and Dimitrov (1999) on chromatids reconstituted using Xenopus egg extracts. Remarkably, while the stretching elastic response of reconstituted chromosomes is similar to that observed for chromosomes from cells, reconstituted chromosomes are far more easily bent. This result suggests that reconstituted chromatids have a large-scale structure that is quite different from chromosomes in somatic cells. Finally, we discuss microspraying experiments of DNA-cutting enzymes, which reveal that the element that gives mitotic chromosomes their mechanical integrity is DNA itself. These experiments indicate that chromatin-condensing proteins are not organized into a mechanically contiguous "scaffold," but instead that the mitotic chromosome is best thought of as a cross-linked network of chromatin. Preliminary results from restriction enzyme digestion experiments indicate a spacing between chromatin "cross-links" of roughly 15 kb, a size similar to that inferred from classical chromatin loop isolation studies. These results suggest a general strategy for the use of micromanipulation methods for the study of chromosome structure.

The mitotic chromosome is an assembly of rigid elastic axes organized by structural maintenance of chromosomes (SMC) proteins and surrounded by a soft chromatin envelope

The structure of mitotic chromosomes is still poorly understood. Here we describe the use of a novel approach based on elasticity measurements of a single chromosome for studying the organization of these objects. The data reveal that mitotic chromosomes exhibit a non-homogenous structure consisting of rigid elastic axes surrounded by a soft chromatin envelope. The chemical continuity of DNA, but not RNA, was required for the maintenance of these axes. The axes show a modular structure, and the structural maintenance of chromosomes (SMC) proteins participate in their organization. Topoisomerase II was not involved in either the organization of the axes or the maintenance of the mitotic chromosomes. A model for the assembly and the structure of the mitotic chromosome is proposed. According this model, the chromosome axes are dynamic structures that assemble at the onset and disassemble the end of mitosis, respectively. The SMC proteins, in addition to maintaining axis elasticity, are essential for the determination of the rod-like chromosome shape. The extreme compaction of mitotic chromosomes is determined mainly by the high amount of bivalent ions bound to DNA at mitosis.

Optical tweezers stretching of chromatin

Recently significant success has emerged from exciting research involving chromatin stretching using optical tweezers. These experiments, in which a single chromatin fibre is attached by one end to a micron-sized bead held in an optical trap and to a solid surface or second bead via the other end, allows manipulation and force detection at a single-molecule level. Through force-induced stretching of chromatin, mechanical properties, specific intermolecular bond strengths and DNA-protein association and dissociation kinetics have been determined. These studies will be extremely fruitful in terms of understanding the function of chromatin structure and its dynamics within the cell.

Micromechanical studies of mitotic chromosomes

We review micromechanical experiments on mitotic chromosomes. We focus on work where chromosomes were extracted from prometaphase amphibian cells, and then studied by micromanipulation and microfluidic biochemical techniques. These experiments reveal that chromosomes have well-behaved elastic response over a fivefold range of stretching, with an elastic modulus similar to that of a loosely tethered polymer network. Perturbation by microfluidic 'spraying' of various ions reveals that the mitotic chromosome can be rapidly and reversibly decondensed or overcondensed, i.e. that the native state is not maximally compacted. Finally, we discuss microspraying experiments of DNA-cutting enzymes which reveal that the element which gives mitotic chromosomes their mechanical integrity is DNA itself. These experiments indicate that chromatin-condensing proteins are not organized into a mechanically contiguous 'scaffold', but instead that the mitotic chromosome is best thought of as a cross-linked network of chromatin. Preliminary results from restriction-enzyme digestion experiments indicate a spacing between chromatin 'cross-links' of roughly 15 kb, a size similar to that inferred from classical chromatin-loop-isolation studies. We compare our results to similar experiments done by Houchmandzadeh and Dimitrov (J Cell Biol 145: 215-213 (1999)) on chromatids reconstituted using Xenopus egg extracts. Remarkably, while the stretching elastic response of the reconstituted chromosomes is similar to that observed for chromosomes from cells, the reconstituted chromosomes are far more easily bent. This result suggests that reconstituted chromatids have a large-scale structure which is quite different from chromosomes in somatic cells. More generally our results suggest a strategy for the use of micromanipulation methods for the study of chromosome structure.

Micromechanics of chromatin and chromosomes

The enzymes that transcribe, recombine, package, and duplicate the eukaryotic genome all are highly processive and capable of generating large forces. Understanding chromosome function therefore will require analysis of mechanics as well as biochemistry. Here we review development of new biophysical-biochemical techniques for studying the mechanical properties of isolated chromatin fibers and chromosomes. We also discuss microscopy-based experiments on cells that visualize chromosome structure and dynamics. Experiments on chromatin tell us about its flexibility and fluctuation, as well as quantifying the forces generated during chromatin assembly. Experiments on whole chromosomes provide insight into the higher-order organization of chromatin; for example, recent experiments have shown that the mitotic chromosome is held together by isolated chromatin-chromatin links and not a large, mechanically contiguous non-DNA "scaffold".

The making of the mitotic chromosome: modern insights into classical questions

The condensation of mitotic chromosomes is essential for the faithful segregation of sister chromatids in anaphase. An emerging view is that chromosome assembly is an active and dynamic process of chromatin reorganization in which two ATP hydrolyzing enzymes, topoisomerase II and the condensin complex, play central roles. In this review, we discuss recent work that sheds new light on the molecular and structural dynamics of mitotic chromosomes.

Mechanical elongation of the centromere in the barley metaphase chromosome

The present study investigated the mechanical elongation of the centromere in the barley chromosomes by a microneedle manipulation method for the structural analysis of the chromosomes. Chromosomes were extracted from barley root cells, affixed on a cover slip by a standard preparation method, and elongated in either distilled water, phosphate buffered saline (PBS), or 2 x sodium saline citrate (SSC). The mechanical property of the chromosome elongation was assessed by the measurement of the force required for the elongation of chromosomes. This assessment has shown that the chromosomes in distilled water were much firmer than those in the PBS or 2 x SSC. To confirm the elongation of the centromere, the elongated chromosomes were investigated by fluorescence in situ hybridization with a centromere probe. The fluorescence information indicated that the extent of the loosening of the centromere during elongation differed depending on the buffers used; the centromere elongated in 2 x SSC was more loosened than that in the PBS. Atomic force microscopy also revealed the structure of the unpacked centromere after the mechanical elongation, when rows of fibrous structures about 30 to 50 nm thick were clearly observed in the centromere elongated in 2 x SSC. The investigation of elongated chromosomes should prove useful for an understanding of the structural analysis of chromosomes.

Mitotic chromosomes are chromatin networks without a mechanically contiguous protein scaffold

Isolated newt (Notophthalmus viridescens) chromosomes were studied by using micromechanical force measurement during nuclease digestion. Micrococcal nuclease and short-recognition-sequence blunt-cutting restriction enzymes first remove the native elastic response of, and then to go on to completely disintegrate, single metaphase newt chromosomes. These experiments rule out the possibility that the mitotic chromosome is based on a mechanically contiguous internal non-DNA (e.g., protein) "scaffold"; instead, the mechanical integrity of the metaphase chromosome is due to chromatin itself. Blunt-cutting restriction enzymes with longer recognition sequences only partially disassemble mitotic chromosomes and indicate that chromatin in metaphase chromosomes is constrained by isolated chromatin-crosslinking elements spaced by approximately 15 kb.

Effect of length, topology, and concentration on the microviscosity and microheterogeneity of DNA solutions

The viscoelastic behavior of chromosomal DNA, which is heterogeneously distributed within the nucleus, may influence the diffusion of nuclear organelles and proteins. To identify some of the parameters that affect DNA viscoelasticity, we use the high-throughput method of multiple-particle nanotracking to measure the microviscosity and degree of heterogeneity of solutions of chromosomal DNA, linear DNA, and circular double-stranded DNA over a wide range of concentrations and lengths. The thermally excited displacements of multiple fluorescent microspheres imbedded in DNA solutions are monitored with 5nm spatial resolution and 30Hz temporal resolution, from which mean-squared displacement (MSD) and viscosity distributions are generated. For all probed DNA solutions but the most concentrated solution of the longest molecules, the ensemble-averaged MSD increases linearly with time at all probed time scales, a signature of viscous transport. The associated mean viscosity of the DNA solutions increases slowly with concentration for circular DNA and more rapidly for linear DNA, but more slowly than predicted by theory. The heterogeneity of the DNA solutions is assessed by computing the relative contributions of the 10%, 25%, and 50% highest values of MSD and viscosity to the ensemble-averaged MSD and viscosity. For both linear DNA and circular DNA, these contributions are much larger than observed in homogeneous liquids such as glycerol. The microheterogeneity of the linear DNA solutions increases with concentration more significantly for linear DNA than circular DNA. These in vitro results suggest that the topology, local concentration, and length of DNA influence the microrheology and microheterogeneity of the DNA within the nucleus.

Micromechanical coupling between cell surface receptors and RGD peptides

Contact between an adherent cell and the extracellular matrix (ECM) promotes the recruitment of structural and signaling molecules to the cytoplasmic domain of integrins, which mediate cell adhesion, cell migration, and cell growth. It is unclear whether the intracellular recruitment of these cytoplasmic molecules enhances the affinity between the ECM and the extracellular domain of the cell surface receptors (integrins). Using soft microneedles coated with Arg-Gly-Asp (RGD) peptides, a sequence commonly shared by ECM proteins, we apply a localized ramp shear stress to the surface of a HeLa cell and measure the cell stiffness and the collective (or apparent) unbinding lifetime of its surface receptors to RGD. These measurements demonstrate that both cell stiffness and the collective cell surface receptor-RGD unbinding lifetime increase with the duration of the pre-shear cell-microneedle contact and with the rate of shear applied to the cell membrane. These parameters are also crucially dependent on the integrity of the actin filament network. Our results are consistent with a model of positive feedback signaling where RGD-mediated initial recruitment of cytoskeletal proteins to the cytoplasmic domain of integrins directly enhances the interaction between the extracellular domain of integrins and the RGD sequence of ECM molecules.

Dynamics of chromosome compaction during mitosis

We have quantitatively studied the space-time dynamics of mitotic chromosome compaction in cultured amphibian cells. After collecting digital phase-contrast images we have done digital image analysis to study spatial correlations in density. We find a characteristic distance at which the strongest correlations occur, which provides a quantitative measure of the size of patches of dense chromatin during interphase and early prophase. Later in mitosis, this length corresponds to the thickness of prophase and metaphase chromosomes. We find that during interphase strong correlations exist at a few-micrometer length; during prophase this correlation length progressively drops as the chromosomes are compacted. Our data are explained by a model based on assembly of chromatin loops onto already fiberlike interphase chromosomes. To test this model we have microinjected cobalt hexamine trichloride into interphase nuclei and have observed the rapid condensation of the interphase chromatin into thick fibers with a spacing similar to the native-state interphase correlation length determined from our image analysis.

The bending rigidity of mitotic chromosomes

The bending rigidities of mitotic chromosomes isolated from cultured N. viridescens (newt) and Xenopus epithelial cells were measured by observing their spontaneous thermal bending fluctuations. When combined with simultaneous measurement of stretching elasticity, these measurements constrain models for higher order mitotic chromosome structure. We measured bending rigidities of B approximately 10(-22) N. m(2) for newt and approximately 10(-23) N. m(2) for Xenopus chromosomes extracted from cells. A similar bending rigidity was measured for newt chromosomes in vivo by observing bending fluctuations in metaphase-arrested cells. Following each bending rigidity measurement, a stretching (Young's) modulus of the same chromosome was measured in the range of 10(2) to 10(3) Pa for newt and Xenopus chromosomes. For each chromosome, these values of B and Y are consistent with those expected for a simple elastic rod, B approximately YR(4), where R is the chromosome cross-section radius. Our measurements rule out the possibility that chromosome stretching and bending elasticity are principally due to a stiff central core region and are instead indicative of an internal structure, which is essentially homogeneous in its connectivity across the chromosome cross-section.

Computer simulation of the 30-nanometer chromatin fiber

A new Monte Carlo model for the structure of chromatin is presented here. Based on our previous work on superhelical DNA and polynucleosomes, it reintegrates aspects of the "solenoid" and the "zig-zag" models. The DNA is modeled as a flexible elastic polymer chain, consisting of segments connected by elastic bending, torsional, and stretching springs. The electrostatic interaction between the DNA segments is described by the Debye-Hückel approximation. Nucleosome core particles are represented by oblate ellipsoids; their interaction potential has been parameterized by a comparison with data from liquid crystals of nucleosome solutions. DNA and chromatosomes are linked either at the surface of the chromatosome or through a rigid nucleosome stem. Equilibrium ensembles of 100-nucleosome chains at physiological ionic strength were generated by a Metropolis-Monte Carlo algorithm. For a DNA linked at the nucleosome stem and a nucleosome repeat of 200 bp, the simulated fiber diameter of 32 nm and the mass density of 6.1 nucleosomes per 11 nm fiber length are in excellent agreement with experimental values from the literature. The experimental value of the inclination of DNA and nucleosomes to the fiber axis could also be reproduced. Whereas the linker DNA connects chromatosomes on opposite sides of the fiber, the overall packing of the nucleosomes leads to a helical aspect of the structure. The persistence length of the simulated fibers is 265 nm. For more random fibers where the tilt angles between two nucleosomes are chosen according to a Gaussian distribution along the fiber, the persistence length decreases to 30 nm with increasing width of the distribution, whereas the other observable parameters such as the mass density remain unchanged. Polynucleosomes with repeat lengths of 212 bp also form fibers with the expected experimental properties. Systems with larger repeat length form fibers, but the mass density is significantly lower than the measured value. The theoretical characteristics of a fiber with a repeat length of 192 bp where DNA and nucleosomes are connected at the core particle are in agreement with the experimental values. Systems without a stem and a repeat length of 217 bp do not form fibers.

The N-terminus of histone H2B, but not that of histone H3 or its phosphorylation, is essential for chromosome condensation

We have studied the role of individual histone N-termini and the phosphorylation of histone H3 in chromosome condensation. Nucleosomes, reconstituted with histone octamers containing different combinations of recombinant full-length and tailless histones, were used as competitors for chromosome assembly in Xenopus egg extracts. Nucleosomes reconstituted with intact octamers inhibited chromosome condensation as efficiently as the native ones, while tailless nucleosomes were unable to affect this process. Importantly, the addition to the extract of particles containing only intact histone H2B strongly interfered with chromosome formation while such an effect was not observed with particles lacking the N-terminal tail of H2B. This demonstrates that the inhibition effect observed in the presence of competitor nucleosomes is mainly due to the N-terminus of this histone, which, therefore, is essential for chromosome condensation. Nucleosomes in which all histones but H3 were tailless did not impede chromosome formation. In addition, when competitor nucleosome particles were reconstituted with full-length H2A, H2B and H4 and histone H3 mutated at the phosphorylable serine 10 or serine 28, their inhibiting efficiency was identical to that of the native particles. Hence, the tail of H3, whether intact or phosphorylated, is not important for chromosome condensation. A novel hypothesis, termed 'the ready production label' was suggested to explain the role of histone H3 phosphorylation during cell division.

Chromatin: a tunable spring at work inside chromosomes

This paper focuses on mechanical aspects of chromatin biological functioning. Within a basic geometric modeling of the chromatin assembly, we give a complete set of elastic constants (twist and bend persistence lengths, stretch modulus and twist-stretch coupling constant) of the so-called 30-nm chromatin fiber, in terms of DNA elastic properties and geometric properties of the fiber assembly. The computation naturally embeds the fiber within a current analytical model known as the "extensible wormlike rope," allowing a straightforward prediction of the force-extension curves. We show that these elastic constants are strongly sensitive to the linker length, up to 1 bp, or equivalently to its twist, and might locally reach very low values, yielding a highly flexible and extensible domain in the fiber. In particular, the twist-stretch coupling constant, reflecting the chirality of the chromatin fiber, exhibits steep variations, and sign changes when the linker length is varied. We argue that this tunable elasticity might be a key feature for chromatin function, for instance, in the initiation and regulation of transcription.

Chromosome motors on the move. From motion to spindle checkpoint activity

Spindle assembly and chromosome segregation require the concerted activities of a variety of microtubule-dependent motors. This review focuses on our current knowledge of the roles played by the chromosome-associated motors during mitosis. While some appear to function conventionally in moving chromosomes along microtubules others seem to act in different ways. For example, by docking microtubules to chromosome arms, chromatin-associated motors prevent chromosome loss and participate in spindle formation and stability. Kinetochore motors participate in the formation of stable kinetochore fibers or in the control of microtubule dynamics and are involved in spindle checkpoint activity. Chromosome-associated motors thus appear to be key molecules that function in complementary ways to ensure the accuracy of chromosome segregation.

Histone H3 phosphorylation and cell division

Histone H3 is specifically phosphorylated during both mitosis and meiosis in patterns that are specifically coordinated in both space and time. Histone H3 phosphorylation may initiate at different phases of the cell division in different organisms, but metaphase chromosomes are always found to be heavily phosphorylated. Upon exit of mitosis/meiosis a global dephosphorylation of H3 takes place. Potential candidates for H3 kinases are described and their hypothetical mechanism of action on highly condensed chromatin templates is discussed. In addition, a novel hypothesis for the role of histone H3 phosphorylation during cell division is proposed. This hypothesis, termed the 'ready production label' model, explains the results in the literature and suggests that phosphorylation of histone H3 is a part of a complex signaling mechanism.

Chromosome elasticity and mitotic polar ejection force measured in living Drosophila embryos by four-dimensional microscopy-based motion analysis

BACKGROUND

Mitosis involves the interaction of many different components, including chromatin, microtubules, and motor proteins. Dissecting the mechanics of mitosis requires methods of studying not just each component in isolation, but also the entire ensemble of components in its full complexity in genetically tractable model organisms.

RESULTS

We have developed a mathematical framework for analyzing motion in four-dimensional microscopy data sets that allows us to measure elasticity, viscosity, and forces by tracking the conformational movements of mitotic chromosomes. We have used this approach to measure, for the first time, the basic biophysical parameters of mitosis in wild-type Drosophila melanogaster embryos. We found that Drosophila embryo chromosomes are significantly less rigid than the much larger chromosomes of vertebrates. Anaphase kinetochore force and nucleoplasmic viscosity were comparable with previous estimates in other species. Motion analysis also allowed us to measure the magnitude of the polar ejection force exerted on chromosome arms during metaphase by individual microtubules. We find the magnitude of this force to be approximately 1 pN, a number consistent with force generation either by collision of growing microtubules with chromosomes or by single kinesin motors.

CONCLUSIONS

Motion analysis allows noninvasive mechanical measurements to be made in complex systems. This approach should allow the functional effects of Drosophila mitotic mutants on chromosome condensation, kinetochore forces, and the polar ejection force to be determined.

Higher-order structure of chromatin and chromosomes

The linear array of nucleosomes that comprises the primary structure of chromatin is folded and condensed to varying degrees in nuclei and chromosomes forming 'higher order structures'. We discuss the recent findings from novel experimental approaches that have yielded significant new information on the different hierarchical levels of chromatin folding and their functional significance.

Twisting and stretching single DNA molecules

The elastic properties of DNA are essential for its biological function. They control its bending and twisting as well as the induction of structural modifications in the molecule. These can affect its interaction with the cell machinery. The response of a single DNA molecule to a mechanical stress can be precisely determined in single-molecule experiments which give access to an accurate measurement of the elastic parameters of DNA.

Titin as a chromosomal protein

We identified titin as a chromosomal protein using a human autoimmune scleroderma serum. We cloned the corresponding gene in the fruitfly, Drosophila melanogaster. We have demonstrated that titin is not only expressed and localized in striated muscle but is also distributed uniformly on condensed mitotic chromosomes using multiple antibodies directed against different domains of both Drosophila and vertebrate titin. Titin is a giant sarcomeric protein responsible for the elasticity of striated muscle. Titin may also function as a molecular scaffold during myofibril assembly. We hypothesize that titin is a component of chromosomes that may function to determine chromosome structure and provide elasticity, playing a role similar to that proposed for titin in muscle. We have identified mutations in Drosophila Titin (D-Titin) and are characterizing phenotypes in muscle and chromosomes.

Probing chromosome structure with dynamic force relaxation

We report measurements of the dynamics of force relaxation in single mitotic chromosomes, following step strains applied with micropipettes of force constant approximately 1 nN/microm. The force relaxes exponentially after an elongation (l/l(0)) to less than 3x native length, with a relaxation time approximately 2 sec. This relaxation time corresponds to an effective viscosity approximately 10(5) times that of water. We experimentally rule out solvent flow into the chromosome as the mechanism for the relaxation time. Instead, the relaxation can be explained in terms of the disentanglement dynamics of approximately 80 kb chromatin loop domains.

Fluctuating filaments: statistical mechanics of helices

We examine the effects of thermal fluctuations on thin elastic filaments with noncircular cross section and arbitrary spontaneous curvature and torsion. Analytical expressions for orientational correlation functions and for the persistence length of helices are derived, and it is found that this length varies nonmonotonically with the strength of thermal fluctuations. In the weak fluctuation regime, the local helical structure is preserved and the statistical properties are dominated by long-wavelength bending and torsion modes. As the amplitude of fluctuations is increased, the helix "melts" and all memory of intrinsic helical structure is lost. Spontaneous twist of the cross section leads to resonant dependence of the persistence length on the twist rate.

D-Titin: a giant protein with dual roles in chromosomes and muscles

Previously, we reported that chromosomes contain a giant filamentous protein, which we identified as titin, a component of muscle sarcomeres. Here, we report the sequence of the entire titin gene in Drosophila melanogaster, D-Titin, and show that it encodes a two-megadalton protein with significant colinear homology to the NH(2)-terminal half of vertebrate titin. Mutations in D-Titin cause chromosome undercondensation, chromosome breakage, loss of diploidy, and premature sister chromatid separation. Additionally, D-Titin mutants have defects in myoblast fusion and muscle organization. The phenotypes of the D-Titin mutants suggest parallel roles for titin in both muscle and chromosome structure and elasticity, and provide new insight into chromosome structure.