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The properties of certain networks are determined by hidden variables that are not explicitly measured. The conditional probability (propagator) that a vertex with a given value of the hidden variable is connected to k of other vertices…

Quantitative Methods · Quantitative Biology 2009-11-13 Gerald A. Miller , Yi Y. Shi , Hong Qian , Karol Bomsztyk

The concept of the reduced set of contact maps is introduced. Using this concept we find the ground state candidates for Hydrophobic-Polar lattice model on a two dimensional square lattice. Using these results we exactly enumerate the…

Soft Condensed Matter · Physics 2009-10-31 V. Shahrezaei , N. Hamedani , M. R. Ejtehadi

We introduce a lattice model of protein conformations which is able to reproduce second structures of proteins (alpha--helices and beta--sheets). This model is based on the following two main ideas. First, we model backbone parts of amino…

Soft Condensed Matter · Physics 2012-08-01 S. Albeverio , S. V. Kozyrev

Core-periphery (CP) structure is an important meso-scale network property where nodes group into a small, densely interconnected {core} and a sparse {periphery} whose members primarily connect to the core rather than to each other. While…

Methodology · Statistics 2025-08-08 Eric Yanchenko , Srijan Sengupta , Diganta Mukherjee

Protein structures are much more conserved than sequences during evolution. Based on this observation, we investigate the consequences of structural conservation on protein evolution. We study seven of the most studied protein folds,…

Soft Condensed Matter · Physics 2007-05-23 Ugo Bastolla , Markus Porto , H. Eduardo Roman , Michele Vendruscolo

We numerically explore the pasta structures and properties of low-density nuclear matter without any assumption on the geometry. We observe conventional pasta structures, while a mixture of the pasta structures appears as a metastable state…

Nuclear Theory · Physics 2015-06-03 Minoru Okamoto , Toshiki Maruyama , Kazuhiro Yabana , Toshitaka Tatsumi

A small fraction of all protein structures characterized so far are entangled. The challenge of understanding the properties of these knotted proteins, and the why and the how of their natural folding process, has been taken up in the past…

Biomolecules · Quantitative Biology 2019-06-21 Ana Nunes , Patrícia FN Faísca

We consider a stochastic model of infection spread on the complete graph on $N$ vertices incorporating dynamic partnerships, which we assume to be monogamous. This can be seen as a variation on the contact process in which some form of edge…

Probability · Mathematics 2016-06-23 Eric Foxall , Roderick Edwards , P. van den Driessche

The past decade has witnessed the development and success of coarse-grained network models of proteins for predicting many equilibrium properties related to collective modes of motion. Curiously, the results are usually robust towards the…

Biomolecules · Quantitative Biology 2010-02-04 Canan Atilgan , Osman Burak Okan , Ali Rana Atilgan

Inferring protein-protein interactions from sequences is an important task in computational biology. Recent methods based on Direct Coupling Analysis (DCA) or Mutual Information (MI) allow to find interaction partners among paralogs of two…

Biomolecules · Quantitative Biology 2022-05-19 Andonis Gerardos , Nicola Dietler , Anne-Florence Bitbol

In discrete geometry, the contact number of a given finite number of non-overlapping spheres was introduced as a generalization of Newton's kissing number. This notion has not only led to interesting mathematics, but has also found…

Metric Geometry · Mathematics 2020-02-12 Karoly Bezdek , Muhammad A. Khan

While many good textbooks are available on Protein Structure, Molecular Simulations, Thermodynamics and Bioinformatics methods in general, there is no good introductory level book for the field of Structural Bioinformatics. This book aims…

The structure of finite nuclei is investigated by employing an interaction model which is based on the low-momentum interaction $V_{lowk}$. It is supplemented by a density-dependent contact interaction fitted to reproduce the saturation…

Nuclear Theory · Physics 2015-06-19 E. N. E. van Dalen , H. Müther

Contact defects are time-periodic patterns in one space dimension that resemble spatially homogeneous oscillations with an embedded defect in their core region. For theoretical and numerical purposes, it is important to understand whether…

Dynamical Systems · Mathematics 2023-03-21 Milen Ivanov , Bjorn Sandstede

Transform coding is routinely used for lossy compression of discrete sources with memory. The input signal is divided into N-dimensional vectors, which are transformed by means of a linear mapping. Then, transform coefficients are quantized…

Information Theory · Computer Science 2016-09-13 Marco Tagliasacchi , Marco Visentini-Scarzanella , Pier Luigi Dragotti , Stefano Tubaro

In an attempt to characterize the structure of eigenvectors of random regular graphs, we investigate the correlations between the components of the eigenvectors associated to different vertices. In addition, we provide numerical…

Mathematical Physics · Physics 2009-11-13 Yehonatan Elon

While many good textbooks are available on Protein Structure, Molecular Simulations, Thermodynamics and Bioinformatics methods in general, there is no good introductory level book for the field of Structural Bioinformatics. This book aims…

Structural prediction has long been considered critical in RNA research, especially following the success of AlphaFold2 in protein studies, which has drawn significant attention to the field. While recent advances in machine learning and…

Biomolecules · Quantitative Biology 2024-09-26 Jiaxing Yang

Using the quark-meson coupling model, we calculate the form factors at sigma- and omega-nucleon strong-interaction vertices in nuclear matter. The Peierls-Yoccoz projection technique is used to take account of center of mass and recoil…

Nuclear Theory · Physics 2007-05-23 K. Saito , K. Tsushima

Face-to-face contacts between individuals contribute to shape social networks and play an important role in determining how infectious diseases can spread within a population. It is thus important to obtain accurate and reliable…

Physics and Society · Physics 2014-09-19 Julie Fournet , Alain Barrat