Possible nucleosome arrangements in the higher-order structure of chromatin

Consideration has been given to possible sequences of nucleosomes which can produce a ‘thick fibre’-like structure. Only a few basic requirements were imposed: (i) the thick fibre is a regular single helix with about 7 nucleosomes per turn; (ii) the nucleosomes are equidistant along the polynuclesome chain; (iii) the helix is flexible having variable pitch. It was found that in addition to the straightforward sequential arrangement there is only one other nonsequential arrangement which satisfies these requirements. This is a helix with around 8 nucleosomes per turn in which all nucleosomes are identically placed. It is possible in the region of 200 to 218 ± 10 base pairs (b.p.) DNA repeats lengths. The linker DNA is straight or almost straight and crosses the internal ‘hollow’ cylinder which is not occupied by nucleosomes. This structure satisfies the experimental data for the distance distribution function, and the observed mass per unit length and changes noted in the mass per unit length. Further, if it is assumed that the core particle axis of symmetry is in the plane of the two linkers and bisects them then this makes the core particles oblique to the thick fibre radii with alternate angles of ± 20 to 30°. This orientation of the nucleosomes can explain the DNA digestion patterns obtained with DNase II and with DNase I.     

Base-stacking interactions in double-helical DNA structures: experiment versus theory

Atom-atom potential energy calculations have been undertaken for deriving stacking energies in double-helical structures. A comparison between the energy patterns of A- and B-type double-helical fragments determined by single-crystal X-ray diffraction methods versus idealized uniform models based on fibre diffraction data shows that the van der Waals stacking energy is largely sensitive to local changes in the relative orientation of adjacent base pairs. The sequence-dependent conformational variability observed in the high-resolution structures appears to be a consequence of the equipartitioning of the stacking energy along the double helix. The large energy variations expected for a uniform structure are dampened considerably in the observed structures by means of local changes in conformational features such as helix rotation and roll angles between base pairs.     

Interaction of chromatin with a histone H1 containing swapped N- and C-terminal domains

Although the details of the structural involvement of histone H1 in the organization of the nucleosome are quite well understood, the sequential events involved in the recognition of its binding site are not as well known. We have used a recombinant human histone H1 (H1.1) in which the N- and C-terminal domains (NTD/CTD) have been swapped and we have reconstituted it on to a 208-bp nucleosome. We have shown that the swapped version of the protein is still able to bind to nucleosomes through its structurally folded wing helix domain (WHD); however, analytical ultracentrifuge analysis demonstrates its ability to properly fold the chromatin fibre is impaired. Furthermore, FRAP analysis shows that the highly dynamic binding association of histone H1 with the chromatin fibre is altered, with a severely decreased half time of residence. All of this suggests that proper binding of histone H1 to chromatin is determined by the simultaneous and synergistic binding of its WHD–CTD to the nucleosome.     

Nucleosomes stacked with aligned dyad axes are found in native compact chromatin in vitro

In this study, electron tomograms of plunge-frozen isolated chromatin in both open and compacted form were recorded. We have resolved individual nucleosomes in these tomograms in order to provide a 3D view of the arrangement of nucleosomes within chromatin fibers at different compaction states. With an optimized template matching procedure we obtained accurate positions and orientations of nucleosomes in open chromatin in "low-salt" conditions (5 mM NaCl). The mean value of the planar angle between three consecutive nucleosomes is 70°, and the mean center-to-center distance between consecutive nucleosomes is 22.3 nm. Since the template matching approach was not effective in crowded conditions, for nucleosome detection in compact fibers (40 mM NaCl and 1 mM MgCl(2)) we developed the nucleosome detection procedure based on the watershed algorithm, followed by sub-tomogram alignment, averaging, and classification by Principal Components Analysis. We find that in compact chromatin the nucleosomes are arranged with a predominant face-to-face stacking organization, which has not been previously shown for native isolated chromatin. Although the path of the DNA cannot be directly seen in compact conditions, it is evident that the nucleosomes stack with their dyad axis aligned in forming a "double track" conformation which is a consequence of DNA joining adjacent nucleosome stacks. Our data suggests that nucleosome stacking is an important mechanism for generating chromatin compaction in vivo.     

Nucleosome geometry and internucleosomal interactions control the chromatin fiber conformation

Based on model structures with atomic resolution, a coarse-grained model for the nucleosome geometry was implemented. The dependence of the chromatin fiber conformation on the spatial orientation of nucleosomes and the path and length of the linker DNA was systematically explored by Monte Carlo simulations. Two fiber types were analyzed in detail that represent nucleosome chains without and with linker histones, respectively: two-start helices with crossed-linker DNA (CL conformation) and interdigitated one-start helices (ID conformation) with different nucleosome tilt angles. The CL conformation was derived from a tetranucleosome crystal structure that was extended into a fiber. At thermal equilibrium, the fiber shape persisted but relaxed into a structure with a somewhat lower linear mass density of 3.1 ± 0.1 nucleosomes/11 nm fiber. Stable ID fibers required local nucleosome tilt angles between 40° and 60°. For these configurations, much higher mass densities of up to 7.9 ± 0.2 nucleosomes/11 nm fiber were obtained. A model is proposed, in which the transition between a CL and ID fiber is mediated by relatively small changes of the local nucleosome geometry. These were found to be in very good agreement with changes induced by linker histone H1 binding as predicted from the high resolution model structures.     

Distinct effects of histone H1 and non-histone chromosomal proteins on the structure of nucleosomes and the chromatin fibre in solution

In this study we attempt to differentiate between the effects of the non-histone chromosomal proteins and histone H1 on the structure of the nucleosomes and the chromatin fibre in solution. The properties of chromatin preparations with different histone H1 and non-histone protein compositions were compared using circular dichroism and flow linear dichroism and the following conclusions were drawn. When histone H1 is absent the non-histone proteins partially prevent the unfolding of the nucleosomes at low ionic strength. The complete blocking of this unfolding, however, is accomplished only in the presence of histone H1. The non-histone proteins do not affect the orientation of the nucleosomes along the fibre axis. Only histone H1 can maintain the positive anisotropy of the chromatin fibre.     

A critical role for linker DNA in higher-order folding of chromatin fibers

Nucleosome-nucleosome interactions drive the folding of nucleosomal arrays into dense chromatin fibers. A better physical account of the folding of chromatin fibers is necessary to understand the role of chromatin in regulating DNA transactions. Here, we studied the unfolding pathway of regular chromatin fibers as a function of single base pair increments in linker length, using both rigid base-pair Monte Carlo simulations and single-molecule force spectroscopy. Both computational and experimental results reveal a periodic variation of the folding energies due to the limited flexibility of the linker DNA. We show that twist is more restrictive for nucleosome stacking than bend, and find the most stable stacking interactions for linker lengths of multiples of 10 bp. We analyzed nucleosomes stacking in both 1- and 2-start topologies and show that stacking preferences are determined by the length of the linker DNA. Moreover, we present evidence that the sequence of the linker DNA also modulates nucleosome stacking and that the effect of the deletion of the H4 tail depends on the linker length. Importantly, these results imply that nucleosome positioning in vivo not only affects the phasing of nucleosomes relative to DNA but also directs the higher-order structure of chromatin.     

The superstructure of chromatin and its condensation mechanism

Model calculations on the superstructure of uncondensed and condensed chromatin are presented. It is found that agreement between the calculated X-ray solution scattering patterns and the experimental observations can be reached with the assumptions that: a) The uncondensed chromatin fibre in solution has a helix-like structure, with a pitch of ca. 33.0 nm, a helical diameter of ca. 20.0 nm and 2.75–3.25 nucleosomes per turn. b) The most condensed state of the chromatin fibre in solution is best represented by a helix-like structure with ca. 2.56 nucleosomes per turn, a pitch of ca. 3.0 nm and a helical diameter of ca. 27.0 nm.     

Helix Capping in RNA Structure

Helices are an essential element in defining the three-dimensional architecture of structured RNAs. While internal basepairs in a canonical helix stack on both sides, the ends of the helix stack on only one side and are exposed to the loop side, thus susceptible to fraying unless they are protected. While coaxial stacking has long been known to stabilize helix ends by directly stacking two canonical helices coaxially, based on analysis of helix-loop junctions in RNA crystal structures, herein we describe helix capping, topological stacking of a helix end with a basepair or an unpaired nucleotide from the loop side, which in turn protects helix ends. Beyond the topological protection of helix ends against fraying, helix capping should confer greater stability onto the resulting composite helices. Our analysis also reveals that this general motif is associated with the formation of tertiary structure interactions. Greater knowledge about the dynamics at the helix-junctions in the secondary structure should enhance the prediction of RNA secondary structure with a richer set of energetic rules and help better understand the folding of a secondary structure into its three-dimensional structure. These together suggest that helix capping likely play a fundamental role in driving RNA folding.     

DNase I footprinting of the nucleosome in whole nuclei

DNase I was used to footprint the 147 bp DNA fragment of the nucleosome in whole chicken erythrocyte nuclei. It was found that the higher-order structure imposes an additional protection on nucleosomes at sites close to the entry and exit points of the linker DNA, around the dyad axis (site S 0). The observed protection is extended up to 20 bp on either side of S 0. It is partial (∼50%) and most probably reflects a full protection of different regions in alternatively oriented nucleosomes. These are the same regions which interact with linker histones. The results strongly support the findings by simulation of DNase I digests of unlabelled oligonucleosome fragments in the 30 nm fibre that in all nucleosomes sites S −5 to S −3 and S +3 to S +5 ara on the outside of the fibre exposed to DNase I.     

The coexistence of the nucleosome positioning code with the genetic code on eukaryotic genomes

It is known that there are several codes residing simultaneously on the DNA double helix. The two best-characterized codes are the genetic code—the code for protein production, and the code for DNA packaging into nucleosomes. Since these codes have to coexist simultaneously on the same DNA region, both must be degenerate to allow this coexistence. A-tracts are homopolymeric stretches of several adjacent deoxyadenosines on one strand of the double helix, having unusual structural properties, which were shown to exclude nucleosomes and as such are instrumental in setting the translational positioning of DNA within nucleosomes. We observe, cross-kingdoms, a strong codon bias toward the avoidance of long A-tracts in exon regions, which enables the formation of high density of nucleosomes in these regions. Moreover, long A-tract avoidance is restricted exclusively to nucleosome-occupied exon regions. We show that this bias in codon usage is sufficient for enabling DNA organization within nucleosomes without constraints on the actual code for proteins. Thus, there is inter-dependency of the two major codes within DNA to allow their coexistence. Furthermore, we show that modulation of A-tract occurrences in exon versus non-exon regions may result in a unique alternation of the diameter of the ‘30-nm’ fiber model.     

Nucleosome positioning and nucleosome stacking: two faces of the same coin

Nucleosomes are regularly spaced along eukaryotic genomes. In the emerging model, known as "statistical positioning", this spacing is due to steric repulsion between nucleosomes and to the presence of nucleosome excluding barriers on the genome. However, new experimental evidence recently challenged the "statistical positioning" model (Z. Zhang et al., Science, 2011, 332(6032), 977-980). We propose here that the regular spacing can be better explained by adding attractive interactions between nucleosomes. In our model those attractions are due to the fact that nucleosomes are stacked in regular chromatin fibers. In a self-reinforcing mechanism, regular nucleosome spacing promotes in turn nucleosome stacking. We first show that this model can precisely account for the nucleosome spacing observed in Saccharomyces cerevisiae. We then use a simple toy model to show that attraction between nucleosomes can fasten the formation of the chromatin fiber.     

A triple helix model for the structure of chromatin fiber

A model of chromatin fiber structure is presented in which a repeating unit of a trinucleosome forms a 3-dimensional zigzag. Twisting and compression of the zigzag result in a triple helix structure. The model is built mainly on the flow linear dichroism data showing that nucleosomal disc faces are tilted relative to the fiber axis, the orientation of nucleosomes does not change upon folding and unfolding of chromatin, and the orientation of nucleosomes is maintained by the globular domain of histone H1.     

Simulation of DNA fragment distributions after irradiation with photons

The Monte Carlo track structure code PARTRAC has been further improved by implementing electron scattering cross-sections for liquid water and by explicitly modelling the interaction of water radicals with DNA. The model of the genome inside a human cell nucleus in its interphase is based on the atomic coordinates of the DNA double helix with an additional volume for the water shell. The DNA helix is wound around histone complexes, and these nucleosomes are folded into chromatin fibres and further to fibre loops, which are interconnected to build chromosomes with a territorial organisation. Simulations have been performed for the irradiation of human fibroblast cells with carbon K and aluminium K ultrasoft x-rays, 220 kVp x-rays and ⁶⁰Co γ-rays. The ratio single-strand breaks to double-strand breaks (ssb/dsb) for both types of ultrasoft x-rays is lower than for γ-rays by a factor of 2. The contributions of direct and indirect effects to strand break induction are almost independent of photon energy. Strand break patterns from indirect effects reflect differences in the susceptibility of the DNA helix to OH^• attack inside the chromatin fibre. Distributions of small DNA fragments (<3 kbp) are determined by the chromatin fibre structure irrespective of whether direct or indirect effects are causing the breaks. In the calculated fragment size distributions for larger DNA fragments (>30 kbp), a substantial deviation from random breakage is found only for carbon K irradiation, and is attributed to its inhomogeneous dose distribution inside the cell nucleus. For the other radiation qualities, the results for larger fragments can be approximated by random breakage distributions calculated for a yield of dsb which is about 10% lower than the average for the whole genome. The excess of DNA fragments detected experimentally in the 8–300 kbp region after x-ray irradiation is not seen in our simulation results. Received: 19 October 1998 / Accepted in revised form: 14 January 1999     

Ion-induced DNA structure change in nucleosomes

Physical methods have been used to study calcium binding to the nucleosome core particle. Equilibrium dialysis of Ca2+ and spectroscopic analysis of a Ca2+ analogue show that the ion binds tightly to the particles, resulting in a significant change of DNA circular dichroism. This suggests that base stacking may be altered as a result of Ca2+ binding. In the presence of Ca2+, the absorbance and fluorescence properties of methylene blue (MB), a DNA-specific intercalator, confirm that the dye binds tightly to nucleosomes by intercalation. However, secondary changes occur which suggest that the MB binding site is altered as a result of Ca2+ binding. Triplet state anisotropy decay and triplet lifetime quenching both show that in the Ca2+-nucleosome complex, methylene blue is capable of wobbling over a substantial angular range at its binding site. To explain these data, it is proposed that Ca2+ binding to nucleosomes causes DNA to fold by means of a series of sharp bends (kinks). The properties of bound MB are best explained if it is presumed that the intercalator binds tightly to such kinked sites in the nucleosome. On the basis of these observations, we discuss the possibility that multivalent ion concentration in the nucleus is high enough that the smooth to kinked helix equilibrium may be near to its midpoint. Near such a midpoint, the secondary structure of DNA in the nucleosome might prove to be sensitive to effector molecule binding and to site-specific variation of DNA or histone composition within genes.