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The thermodynamical properties of heterogeneous DNA sequences are computed by path integral techniques applied to a nonlinear model Hamiltonian. The base pairs relative displacements are interpreted as time dependent paths whose amplitudes…

Statistical Mechanics · Physics 2010-05-12 Marco Zoli

The Nearest Neighbor model is the $\textit{de facto}$ thermodynamic model of RNA secondary structure formation and is a cornerstone of RNA structure prediction and sequence design. The current functional form (Turner 2004) contains…

Biomolecules · Quantitative Biology 2025-05-13 Ryan K. Krueger , Sharon Aviran , David H. Mathews , Jeffrey Zuber , Max Ward

The statistical physics of homogeneous DNA is investigated by the imaginary time path integral formalism. The base pair stretchings are described by an ensemble of paths selected through a macroscopic constraint, the fulfillement of the…

Statistical Mechanics · Physics 2009-04-30 Marco Zoli

We consider testing for the parameters of Ferromagnetic Ising models. While testing for the presence of possibly sparse magnetizations, we provide a general lower bound of minimax separation rates which yields sharp results in high…

Statistics Theory · Mathematics 2019-06-04 Rajarshi Mukherjee , Gourab Ray

Translating machine learning algorithms into clinical applications requires addressing challenges related to interpretability, such as accounting for the effect of confounding variables (or metadata). Confounding variables affect the…

Machine Learning · Computer Science 2022-07-12 Anthony Vento , Qingyu Zhao , Robert Paul , Kilian M. Pohl , Ehsan Adeli

The thermodynamic properties of DNA circular molecules are investigated by a new path integral computational method which treats in the real space the fundamental forces stabilizing the molecule. The base pair and stacking contributions to…

Soft Condensed Matter · Physics 2014-11-11 Marco Zoli

The lack of specificity in microarray experiments due to non-specific hybridization raises a serious problem for the analysis of microarray data because the residual chemical background intensity is not related to the expression degree of…

Biomolecules · Quantitative Biology 2007-05-23 Hans Binder , Stephan Preibisch , Toralf Kirsten

While the thermodynamics of DNA hybridization is well understood, much less is known about the kinetics of this classic system. Filling this gap in our understanding has new urgency because DNA nanotechnology often depends critically on…

Soft Condensed Matter · Physics 2013-10-28 Thomas E. Ouldridge , Petr Šulc , Flavio Romano , Jonathan P. K. Doye , Ard A. Louis

Systems that synchronize in nature are intrinsically different from one another, with possibly large differences from system to system. While a vast part of the literature has investigated the emergence of network synchronization for the…

Systems and Control · Electrical Eng. & Systems 2023-09-01 Amirhossein Nazerian , Shirin Panahi , Francesco Sorrentino

A mesoscopic model for heterogeneous DNA denaturation is developed in the framework of the path integral formalism. The base pair stretchings are treated as one-dimensional, time dependent paths contributing to the partition function. The…

Soft Condensed Matter · Physics 2011-07-12 Marco Zoli

In a recent paper [Phys. Rev. E 68, 011906 (2003)], Naef and Magnasco suggested that the "bright" mismatches observed in Affymetrix microarray experiments are caused by the fluorescent molecules used to label RNA target sequences, which…

Biomolecules · Quantitative Biology 2007-05-23 E. Carlon , T. Heim , J. Klein Wolterink , G. T. Barkema

Multistep denaturation in a short circular DNA molecule is analyzed by a mesoscopic Hamiltonian model which accounts for the helicoidal geometry. Computation of melting profiles by the path integral method suggests that stacking…

Soft Condensed Matter · Physics 2012-04-13 Marco Zoli

A general method for obtaining highly efficient factorial designs of relatively small sizes is developed for cDNA microarray experiments. The method allows the main effects and interactions of successive orders to be of possibly unequal…

Methodology · Statistics 2012-07-31 Runchu Zhang , Rahul Mukerjee

Standard DNA melting curves record the separation of the two strands versus temperature, but they do not provide any information on the location of the opening. We introduce an experimental method which adds a new dimension to the melting…

Statistical Mechanics · Physics 2009-10-25 Santiago Cuesta-Lopez , Dimitar Angelov , Michel Peyrard

We present a method of detecting sequence defects by supercoiling DNA with magnetic tweezers. The method is sensitive to a single mismatched base pair in a DNA sequence of several thousand base pairs. We systematically compare DNA molecules…

Biomolecules · Quantitative Biology 2017-10-11 Andrew Dittmore , Sumitabha Brahmachari , Yasuhara Takagi , John F. Marko , Keir C. Neuman

It has been shown that a random-effects framework can be used to test the association between a gene's expression level and the number of DNA copies of a set of genes. This gene-set modelling framework was later applied to find associations…

Methodology · Statistics 2015-10-09 Renée Menezes , Leila Mohammadi , Jelle Goeman , Judith Boer

We investigated how the finiteness of the length of the sequence affects the phase transition that takes place at DNA melting temperature. For this purpose, we modified the Transfer Integral method to adapt it to the calculation of both…

Biological Physics · Physics 2011-11-10 Sahin Buyukdagli , Marc Joyeux

By extending the classical Peyrard-Bishop model, we are able to obtain a fully analytical description for the mechanical resistance of DNA under stretching at variable values of temperature, number of base pairs and intrachains and…

Soft Condensed Matter · Physics 2022-07-20 G. Florio , G. Puglisi

By taking into account base-base stacking interactions we improve the Generalized Model of Polypeptide Chain (GMPC). Based on a one-dimensional Potts-like model with many-particle interactions, the GMPC describes the helix-coil transition…

One important preprocessing step in the analysis of microarray data is background subtraction. In high-density oligonucleotide arrays this is recognized as a crucial step for the global performance of the data analysis from raw intensities…

Quantitative Methods · Quantitative Biology 2009-12-08 K. Myriam Kroll , Gerard T. Barkema , Enrico Carlon