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Experiments have shown that elasticity of disordered filamentous networks with compliant crosslinks is very different from networks with rigid crosslinks. Here, we model and analyze filamentous networks as a collection of randomly oriented…

Biological Physics · Physics 2015-06-17 A. Sharma , M. Sheinman , K. M. Heidemann , F. C. MacKintosh

The Ising model is a model for pairwise interactions between binary variables that has become popular in the psychological sciences. It has been first introduced as a theoretical model for the alignment between positive (+1) and negative…

Methodology · Statistics 2020-03-16 Jonas Haslbeck , Sacha Epskamp , Maarten Marsman , Lourens Waldorp

Ising models describe the joint probability distribution of a vector of binary feature variables. Typically, not all the variables interact with each other and one is interested in learning the presumably sparse network structure of the…

Machine Learning · Computer Science 2019-07-09 Frank Nussbaum , Joachim Giesen

We consider the coarsening properties of a kinetic Ising model with a memory field. The probability of a spin-flip depends on the persistence time of the spin in a state. The more a spin has been in a given state, the less the spin-flip…

Statistical Mechanics · Physics 2009-11-13 Fabio Caccioli , Silvio Franz , Matteo Marsili

Molecular recognition, which is essential in processing information in biological systems, takes place in a crowded noisy biochemical environment and requires the recognition of a specific target within a background of various similar…

Biomolecules · Quantitative Biology 2010-07-27 Yonatan Savir , Tsvi Tlusty

Empirical scoring functions based on either molecular force fields or cheminformatics descriptors are widely used, in conjunction with molecular docking, during the early stages of drug discovery to predict potency and binding affinity of a…

Machine Learning · Computer Science 2017-03-31 Joseph Gomes , Bharath Ramsundar , Evan N. Feinberg , Vijay S. Pande

Modulation of the properties of AMPA receptors at the post-synaptic membrane is one of the main suggested mechanisms behind synaptic plasticity in the central nervous system of vertebrates. Electrophysiological recordings of single channels…

Molecular Networks · Quantitative Biology 2015-06-22 Ranjita Dutta Roy , Christian Rosenmund , Stuart J Edelstein , Nicolas Le Novère

Ising models, and the physical systems described by them, play a central role in generating entangled states for use in quantum metrology and quantum information. In particular, ultracold atomic gases, trapped ion systems, and Rydberg atoms…

Neurons subject to a common non-stationary input may exhibit a correlated firing behavior. Correlations in the statistics of neural spike trains also arise as the effect of interaction between neurons. Here we show that these two situations…

Quantitative Methods · Quantitative Biology 2021-04-13 Joanna Tyrcha , Yasser Roudi , Matteo Marsili , John Hertz

To investigate the properties of $c=1$ matter coupled to $2$d{--}gravity we have performed large-scale simulations of two copies of the Ising Model on a dynamical lattice. We measure spin susceptibility and percolation critical exponents…

High Energy Physics - Theory · Physics 2009-10-22 Mark Bowick , Marco Falcioni , Geoffrey Harris , Enzo Marinari

Form factor representation of the correlation function of the 2D Ising model on a cylinder is generalized to the case of arbitrary disposition of correlating spins. The magnetic susceptibility on a lattice, one of whose dimensions ($N$) is…

High Energy Physics - Theory · Physics 2008-11-26 A. I. Bugrij , O. Lisovyy

In order to investigate the effects of connectivity and proximity in the specific heat, a special class of exactly solvable planar layered Ising models has been studied in the thermodynamic limit. The Ising models consist of repeated…

Statistical Mechanics · Physics 2018-06-05 Helen Au-Yang , Jacques H. H. Perk

Disordered fibre networks are ubiquitous in nature and have a wide range of industrial applications as novel biomaterials. Predicting their viscoelastic response is straightforward for affine deformations that are uniform over all length…

Soft Condensed Matter · Physics 2020-04-21 L. G. Rizzi , S. Auer , D. A. Head

We consider the equilibrium dynamics of Ising spin models with multi-spin interactions on sparse random graphs (Bethe lattices). Such models undergo a mean field glass transition upon increasing the graph connectivity or lowering the…

Statistical Mechanics · Physics 2009-11-10 Andrea Montanari , Guilhem Semerjian

This is the second in a series of three articles about recovering the full algebraic structure of a boundary conformal field theory (CFT) from the scaling limit of the critical Ising model in slit-strip geometry. Here we study the fusion…

Mathematical Physics · Physics 2021-08-12 Taha Ameen , Kalle Kytölä , S. C. Park

Most widely used ligand docking methods assume a rigid protein structure. This leads to problems when the structure of the target protein deforms upon ligand binding. In particular, the ligand's true binding pose is often scored very…

Biomolecules · Quantitative Biology 2023-03-22 Patricia Suriana , Joseph M. Paggi , Ron O. Dror

We introduce varying spin strengths to the Ising model, a central pillar of statistical physics. With inhomogeneous physical systems in mind, but also anticipating interdisciplinary applications, we present the model on network structures…

Statistical Mechanics · Physics 2020-10-27 Mariana Krasnytska , Bertrand Berche , Yurij Holovatch , Ralph Kenna

This paper reports numerical studies of a compressible version of the Ising spin glass in two dimensions. Compressibility is introduced by adding a term that couples the spin-spin interactions and local lattice deformations to the standard…

Disordered Systems and Neural Networks · Physics 2013-05-29 Adam H. Marshall

We study pairwise Ising models for describing the statistics of multi-neuron spike trains, using data from a simulated cortical network. We explore efficient ways of finding the optimal couplings in these models and examine their…

Quantitative Methods · Quantitative Biology 2009-05-21 Yasser Roudi , Joanna Tyrcha , John Hertz

We study the elastic response of rigid, wire frame particles in concentrated, glassy suspensions to a step strain by applying the simple, geometric methods developed in part I. The wire frame particles are comprised of thin, rigid rods of…

Soft Condensed Matter · Physics 2021-07-28 David A. King , Masao Doi , Erika Eiser