Embryogenic remodeling of global chromatin and its role on structure of corresponding lattice representation

Yukio Gunji, Igor Balaz

    Research output: Contribution to journalArticle


    Recent findings demonstrate that chromatin is functionally compartmentalized and packed into three dimensional multi-hierarchical structures that influence gene expression patterns. Using lattice theory tools we compare lattice representation of unstructured DNA, as identified in early-embryo phase, with compartmentalized DNA, as found in later embryo phases and in differentiated cells. By comparing these two representations we show that corresponding contact maps have elementary diagonal structure (unstructured DNA) and block diagonal structure (compartmentalized DNA). We show that a lattice corresponding to the binary relation with block diagonal structure is a product of so called Chinese lantern lattice. In contrast to Boolean lattice, formation of words in Chinese lantern lattice is highly restricted which is comparable to emergence of DNA compartmentalization during embryogenesis.

    Original languageEnglish
    Publication statusAccepted/In press - 2018 Jan 1



    • Boolean lattice
    • DNA
    • Embryogenesis
    • Equivalence class
    • Rough set
    • TAD

    ASJC Scopus subject areas

    • Statistics and Probability
    • Modelling and Simulation
    • Biochemistry, Genetics and Molecular Biology(all)
    • Applied Mathematics

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