A quantitative model of interphase chromosome higher-order structure is presented based on the isochore model of the genome and results obtained in the field of copolymer research. G1 chromosomes are approximated in the model as multiblock copolymers of the 30-nm chromatin fiber, which alternately contain two types of 0.5- to 1-Mbp blocks (R and G minibands) differing in GC content and DNA-bound proteins. A G1 chromosome forms a single-chain string of loop clusters (micelles), with each loop approximately 1-2 Mbp in size. The number of approximately 20 loops per micelle was estimated from the dependence of geometrical versus genomic distances between two points on a G1 chromosome. The greater degree of chromatin extension in R versus G minibands and a difference in the replication time for these minibands (early S phase for R versus late S phase for G) are explained in this model as a result of the location of R minibands at micelle cores and G minibands at loop apices. The estimated number of micelles per nucleus is close to the observed number of replication clusters at the onset of S phase. A relationship between chromosomal and nuclear sizes for several types of higher eukaryotic cells (insects, plants, and mammals) is well described through the micelle structure of interphase chromosomes. For yeast cells, this relationship is described by a linear coil configuration of chromosomes.
Our analysis of the data of van den Engh, Sachs, and Trask (Science 257, 1410 (1992)), for the dependence of the mean square distance between pairs of hybridization sites (< L2n >, micron 2) on the known genomic distance (n, bp) separating these sites on chromosome number 4 in G1 human fibroblast nuclei, shows that < L2n > is proportional to n2v with v = 3/5 for n < 1 Mbp. The v-value of 3/5 is characteristic of flexible polymer chains with excluded volume effects in dilute good solutions. Since the DNA concentration in nuclei is very high (ca. 1-10 mg/ml), and theory (Flory, J. Chem. Phys. 17, 303, 1949) predicts v = 1/2 for overlapping polymers, the finding of v = 3/5 means that the chromatin fibers do not overlap in interphase nuclei. The dependence of < L2n > on n for n < 4 Mbp is consistent with the model of large (approximately 6 Mbp, 3 microns diameter) loops of interphase chromatin attached to nuclear membrane sites. Using the constant (e.g., Widom, Ann. Rev. Biophys. Biophys. Chem. 18, 365 (1989)) and variable (Williams & Langmore, Biophys. J. 59, 606 (1991)) diameter fiber models, the Kuhn statistical segment of the 30 nm chromatin fiber was estimated to have a length of 196-272 nm with a corresponding DNA content of 21-37 kbp.(ABSTRACT TRUNCATED AT 250 WORDS)
The model of radiation action that is presented relates the surviving fraction of irradiated cells to unrepaired DNA double-strand breaks (DSBs). The following assumptions are made in the model: (i) A DNA fragment created by the induced DSBs may move out of its chromosome (become lost), and the probability of that process depends on the fragment size. (ii) An irradiated cell will lose its proliferative capacity if it has an unrepaired DSB (including DNA fragments) at certain points in the cell cycle. Mathematical expressions of the model yield the dose and time dependencies of the surviving fraction, the number of unrepaired DSBs, and the number of prematurely condensed chromosome fragments. Radiobiological phenomena described include effects of low dose rate, delayed plating, hypertonic solution, araA, and high-LET radiation. The calculated dose dependence of the residual number of unrepaired DSBs for ataxia telangiectasia and normal fibroblast cells is very close to the experimentally obtained [M. N. Cornforth and J. S. Bedford, Radiat. Res. 111, 385-405 (1987)] total number of chromosomal aberrations. This leads to the conclusion that each unrepaired DSB becomes a chromosomal aberration. Analysis in terms of the model shows that the radiosensitivity of various cell lines is predominantly due to the different amounts of time available for DSB repair in these cells.
A quantitative model of large-scale chromatin organization was applied to nuclei of fission yeast Schizosaccharomyces pombe (meiotic prophase and G2 phase), budding yeast Saccharomyces cerevisiae (young and senescent cells), Drosophila (embryonic cycles 10 and 14, and polytene tissues) and Caenorhabditis elegans (G1 phase). The model is based on the coil-like behavior of chromosomal fibers and the tight packing of discrete chromatin domains in a nucleus. Intrachromosomal domains are formed by chromatin anchoring to nuclear structures (e.g., the nuclear envelope). The observed sizes for confinement of chromatin diffusional motion are similar to the estimated sizes of corresponding domains. The model correctly predicts chromosome configurations (linear, Rabl, loop) and chromosome associations (homologous pairing, centromere and telomere clusters) on the basis of the geometrical constraints imposed by nuclear size and shape. Agreement between the model predictions and literature observations supports the notion that the average linear density of the 30-nm chromatin fiber is ϳ4 nucleosomes per 10 nm contour length.
Intermicelle contacts determine exchange-type chromosome aberrations. Ratios of inter- to intrachromosomal exchanges calculated in the model are similar to the experimental data (literature) for human lymphocytes and flat fibroblasts. The frequency of interchanges is affected by nuclear shape; this might explain the greater number of interchanges observed in 3-D spherical lymphocytes vs. that in 2-D flat fibroblasts. Chromosome configuration (linear vs. folded Rab1) affects the pattern of micelle contacts. The model predicts that chromosomes in haploid Tradescantia microspores have the folded Rab1 orientation; this explains quantitatively the low value of the ratio of dicentrics to centric rings observed in these cells.
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