Probabilistic modeling of the self-assembly of the1-dimensional DNA structures

Alex Amarioarei, Gefry Barad, Eugen Czeizler, Andrei Paun, Romica Trandafir

Research output: Contribution to journalArticleScientificpeer-review


In a recent paper, using one of the algorithmic assembly formalisms of DNA nanotechnology, we proved that one tile can self-assemble length n structures and n× n squares, which are basic shapes in the study of DNA origami. This new result within a classic Tile Assembly Model (TAM) would not have been possible without the following programming topics: how can we simulate one-dimensional staged self-assembly using the signal-passing TAM, and how can we program staged self-assembly using the available software? We provide probabilistic approaches for investigating the assembly of tile-based onedimensional structures. We obtain a probabilistic proof of Han’s hook length formula in Enumerative Combinatorics. We identify algebraic and combinatorial structures underlying these algorithmic and information theory results.
Original languageEnglish
Pages (from-to)311-329
Number of pages18
JournalRomanian Journal of Information Science and Technology
Issue number3
Publication statusPublished - 2020
MoE publication typeA1 Journal article-refereed


  • Probabilistic models
  • DNA Tile Assembly Model
  • self-assembly


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