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Collapse of the polymer chain upon the sharp decrease of solvent quality isstudied. During collapse, any pair of polymer units appearing in a sufficientlyclose vicinity in space has the possibility with a certain probability to forman irreversible crosslink, thereby preventing the interpenetration of chainmaterial between the forming clusters. Globular structures having differentspatial chain packing at various scales are obtained by computer simulations.It is shown that the dependence of probability of contact between two monomersin space , where s is a distance between monomers along chain, reproduces anumber of characteristic features observed previously in experiments on theanalysis of three-dimensional chromatin packing. The cluster analysis ofintramolecular contact maps makes it possible to express the hypothesis thatthere are characteristic discrete hierarchical levels in polymer packingassociated with the number-theoretic origin of rare-event statistics andinherent to individual maps of intra- and interchromosomal contacts.

Statistical Properties of a Polymer Globule Formed during Collapse with the Irreversible Coalescence of Units