2004
DOI: 10.1209/epl/i2003-10107-2
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Helicase activity on DNA as a propagating front

Abstract: We develop a propagating front analysis, in terms of a local probability of zipping, for the helicase activity of opening up a double stranded DNA (dsDNA). In a fixed-distance ensemble (conjugate to the fixed-force ensemble) the front separates the zipped and unzipped phases of a dsDNA and a drive acts locally around the front. Bounds from variational analysis and numerical estimates for the speed of a helicase are obtained. Different types of helicase behaviours can be distinguished by the nature of the drive. Show more

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Cited by 15 publications
(14 citation statements)
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“…In contrast to Davydov's model, Yomosa [37] and very recently Sataric et al [38] studied soliton excitations in protein by considering the molecule as a toda lattice chain. The recent results on the statistical mechanics of protein-DNA system through coarse-grain and worm-like chain models describe unzipping of the DNA chain [39,40,41,42]. Normally, protein molecule interacts with DNA either through non-specific interaction (sequence-independent) which is mainly driven by the electrostatic attractive force between positively charged amino acids and negatively charged phosphate groups of the DNA back bone or through specific interactions (sequence-dependent) including hydrogen bonds, van der Waals force and water mediated bonds between the protein molecule and specific site of DNA [43].…”
Section: Introductionmentioning
confidence: 99%
“…In contrast to Davydov's model, Yomosa [37] and very recently Sataric et al [38] studied soliton excitations in protein by considering the molecule as a toda lattice chain. The recent results on the statistical mechanics of protein-DNA system through coarse-grain and worm-like chain models describe unzipping of the DNA chain [39,40,41,42]. Normally, protein molecule interacts with DNA either through non-specific interaction (sequence-independent) which is mainly driven by the electrostatic attractive force between positively charged amino acids and negatively charged phosphate groups of the DNA back bone or through specific interactions (sequence-dependent) including hydrogen bonds, van der Waals force and water mediated bonds between the protein molecule and specific site of DNA [43].…”
Section: Introductionmentioning
confidence: 99%
“…Helicases like dnaB work in the fixed distance ensemble, but PcrA type helicases have both the fixed-distance and the fixed-force character (see, e.g., the references in Ref. [18,19]). Consequently, these explore or take advantage of the various features of the phase diagrams.…”
Section: Introductionmentioning
confidence: 99%
“…We define β = 1/k B T and denote the time of relaxation of the long wave length oscillations of the string by τ = ζ/k. A model with similar structure has been studied in the context of DNA replication by Bhattacharjee [19].…”
mentioning
confidence: 99%