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Related papers: Probability distribution of bubble lengths in DNA

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We investigate the distribution of bubble lifetimes and bubble lengths in DNA at physiological temperature, by performing extensive molecular dynamics simulations with the Peyrard-Bishop-Dauxois (PBD) model, as well as an extended version…

Biological Physics · Physics 2021-01-04 Malcolm Hillebrand , George Kalosakas , Haris Skokos , Alan Bishop

The dynamical properties of double-stranded DNA are studied in the framework of the Peyrard-Bishop-Dauxois model using Langevin dynamics. Our simulations are analyzed in terms of two probability functions describing coherently localized…

Soft Condensed Matter · Physics 2007-06-13 B. S. Alexandrov , L. T. Wille , K. O. Rasmussen , A. R. Bishop , K. B. Blagoev

We present numerical results on the temperature dependence of the distribution of bubble lengths in DNA segments of various guanine-cytosine (GC) concentrations. Base-pair openings are described by the Peyrard-Bishop-Dauxois model and the…

Biomolecules · Quantitative Biology 2009-06-26 G. Kalosakas , S. Ares

Relative lifetimes of inherent double stranded DNA openings with lengths up to ten base pairs are presented for different gene promoters and corresponding mutants that either increase or decrease transcriptional activity, in the framework…

Biomolecules · Quantitative Biology 2021-09-15 M Hillebrand , G Kalosakas , A R Bishop , Ch Skokos

The onset of intermediate states (denaturation bubbles) and their role during the melting transition of DNA are studied using the Peyrard-Bishop-Daxuois model by Monte Carlo simulations with no adjustable parameters. Comparison is made with…

Statistical Mechanics · Physics 2009-11-10 S. Ares , N. K. Voulgarakis , K. O. Rasmussen , A. R. Bishop

It appears that thermally activated DNA bubbles of different sizes play central roles in important genetic processes. Here we show that the probability for the formation of such bubbles is regulated by the number of soft AT pairs in…

Soft Condensed Matter · Physics 2007-05-23 Z. Rapti , A. Smerzi , K. Ø. Rasmussen , A. R. Bishop

We obtain, using transfer matrix methods, the distribution function $P(R)$ of the end-to-end distance, the loop formation probability and force-extension relations in a model for short double-stranded DNA molecules. Accounting for the…

Soft Condensed Matter · Physics 2009-11-10 P. Ranjith , P. B. Sunil Kumar , Gautam I. Menon

The equilibrium statistical properties of DNA denaturation bubbles are examined in detail within the framework of the Peyrard-Bishop-Dauxois model. Bubble formation in homogeneous DNA is found to depend crucially on the presence of…

Statistical Mechanics · Physics 2008-03-26 Nikos Theodorakopoulos

The denaturation dynamics of a long double-stranded DNA is studied by means of a model of the Poland-Scheraga type. We note that the linking of the two strands is a locally conserved quantity, hence we introduce local updates that respect…

Statistical Mechanics · Physics 2009-01-28 Marco Baiesi , Roberto Livi

The formation of local denaturation zones (bubbles) in double-stranded DNA is an important example for conformational changes of biological macromolecules. We study the dynamics of bubble formation in terms of a Fokker-Planck equation for…

Soft Condensed Matter · Physics 2009-11-10 Andreas Hanke , Ralf Metzler

The damping effect to the DNA bubble is investigated within the Peyrard-Bishop model. In the continuum limit, the dynamics of the bubble of DNA is described by the damped nonlinear Schrodinger equation and studied by means of variational…

Biomolecules · Quantitative Biology 2012-06-25 A. Sulaiman , F. P. Zen , H. Alatas , L. T. Handoko

Understanding the inherent timescales of large bubbles in DNA is critical to a thorough comprehension of its physicochemical characteristics, as well as their potential role on helix opening and biological function. In this work we employ…

Biological Physics · Physics 2022-08-12 Malcolm Hillebrand , George Kalosakas , Alan R Bishop , Charalampos Skokos

We have recently suggested that the probability for the formation of thermally activated DNA bubbles is, to a very good approximation, proportional to the number of soft AT pairs over a length L(n) that depend on the size $n$ of the bubble…

Soft Condensed Matter · Physics 2007-05-23 Z. Rapti , A. Smerzi , K. O. Rasmussen , A. R. Bishop , C. H. Choi , A. Usheva

After crossing an initial barrier to break the first base-pair (bp) in double-stranded DNA, the disruption of further bps is characterized by free energies between less than one to a few kT. This causes the opening of intermittent…

Statistical Mechanics · Physics 2015-06-25 Tobias Ambjornsson , Suman K Banik , Michael A Lomholt , Ralf Metzler

It has been speculated that bubble formation of several base-pairs due to thermal fluctuations is indicatory for biological active sites. Recent evidence, based on experiments and molecular dynamics (MD) simulations using the…

Biological Physics · Physics 2009-11-11 Titus S. van Erp , Santiago Cuesta-Lopez , Johannes-Geert Hagmann , Michel Peyrard

We investigate DNA breathing dynamics by suggesting and examining several different Brownian functionals associated with bubble lifetime and reactivity. Bubble dynamics is described as an overdamped random walk in the number of broken base…

Soft Condensed Matter · Physics 2013-12-04 Malay Bandyopadhyay , Shamik Gupta , Dvira Segal

We present a general framework to study the thermodynamic denaturation of double-stranded DNA under superhelical stress. We report calculations of position- and size-dependent opening probabilities for bubbles along the sequence. Our…

Biomolecules · Quantitative Biology 2013-05-29 Daniel Jost , Asif Zubair , Ralf Everaers

We investigate the role of bubble positioning in the force-induced melting of double-stranded DNA using two distinct approaches: Brownian Dynamics simulations and the Gaussian Network Model. We isolate the effect of bubble positioning by…

Soft Condensed Matter · Physics 2025-06-24 Bidisha Mukherjee , Amit Raj Singh , Garima Mishra

From a mathematical and statistical point of view, a segment of a DNA strand can be viewed as a sequence of four-state (A, C, G, T) trials. We consider distributions of runs and patterns related to run lengths of multi-state sequences,…

Probability · Mathematics 2024-06-27 Jungtaek Oh

The local opening of DNA is an intriguing phenomenon from a statistical physics point of view, but is also essential for its biological function. For instance, the transcription and replication of our genetic code can not take place without…

Biological Physics · Physics 2009-11-13 Titus S. van Erp , Santiago Cuesta-Lopez , Michel Peyrard
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