A novel family of space-filling curves in their relation to chromosome conformation in eukaryotes

Jan Smrek, Alexander Y. Grosberg

    Research output: Contribution to journalArticlepeer-review

    Abstract

    Spatial conformation of DNA chains during interphase in eukaryotic cell nucleus is relatively dense, yet unknotted and exhibits self-similar fractal properties. In this respect it resembles the space-filling curves of Hilbert, but differs in the experimentally accessible contact probability of distant loci. Here we construct space-filling curves with fractal domain boundaries of dimension close to that of the embedding space and show how these match the statistical properties and the contact probability of the DNA conformation. The present mathematical model should shed light on the statistical ensemble of unknotted dense polymers and ease the modeling of genome folding and related biological processes.

    Original languageEnglish (US)
    Pages (from-to)6375-6388
    Number of pages14
    JournalPhysica A: Statistical Mechanics and its Applications
    Volume392
    Issue number24
    DOIs
    StatePublished - Dec 15 2013

    Keywords

    • DNA
    • Fractal
    • Genome folding
    • Polymer
    • Space-filling curve

    ASJC Scopus subject areas

    • Statistics and Probability
    • Condensed Matter Physics

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