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We present a statistical mechanics approach to the protein folding problem. We first review some of the basic properties of proteins, and introduce some physical models to describe their thermodynamics. These models rely on a random…

Disordered Systems and Neural Networks · Physics 2008-02-03 T. Garel , H. Orland , E. Pitard

Theories of protein crystallization based on spheres that form close-packed crystals predict optimal assembly within a `slot' of second virial coefficients and enhanced assembly near the metastable liquid-vapor critical point. However, most…

Soft Condensed Matter · Physics 2014-04-04 Thomas K. Haxton , Stephen Whitelam

Proteins are a matter of dual nature. As a physical object, a protein molecule is a folded chain of amino acids with multifarious biochemistry. But it is also an instantiation along an evolutionary trajectory determined by the function…

Biomolecules · Quantitative Biology 2019-09-04 Jean-Pierre Eckmann , Jacques Rougemont , Tsvi Tlusty

Monte Carlo simulations are performed to study structure and dynamics of a protein CoVE in random media generated by a random distribution of barriers at concentration c with a coarse-grained model in its native (low temperature) and…

Biological Physics · Physics 2021-04-07 R. B. Pandey

Structure, function and dynamics of many biomolecular systems can be characterized by the energetic variational principle and the corresponding systems of partial differential equations (PDEs). This principle allows us to focus on the…

Numerical Analysis · Mathematics 2016-11-03 Guo-Wei Wei , Y. C. Zhou

In this paper homogenization of a mathematical model for biomechanics of a plant tissue with randomly distributed cells is considered. Mechanical properties of a plant tissue are modelled by a strongly coupled system of…

Analysis of PDEs · Mathematics 2020-10-28 Andrey Piatnitski , Mariya Ptashnyk

We present a thermodynamically consistent mesoscopic model of protein adsorption at liquid-solid interfaces. First describing the equilibrium state under varying protein concentration of the solution and binding conditions, we predict a…

Soft Condensed Matter · Physics 2016-08-31 Gergely J. Szollosi , Imre Derenyi , Janos Voros

We recently introduced a physical model [Hoang et al., P. Natl. Acad. Sci. USA (2004), Banavar et al., Phys. Rev. E (2004)] for proteins which incorporates, in an approximate manner, several key features such as the inherent anisotropy of a…

Biomolecules · Quantitative Biology 2007-05-23 Trinh X. Hoang , Antonio Trovato , Flavio Seno , Jayanth R. Banavar , Amos Maritan

Dislocation-interface interactions dictate the mechanical properties of polycrystalline materials through dislocation absorption, emission and reflection and interface sliding. We derive a mesoscale interface boundary condition to describe…

Materials Science · Physics 2023-06-19 Jinxin Yu , Alfonso H. W. Ngan , David J. Srolovitz , Jian Han

The modeling of atomistic biomolecular simulations using kinetic models such as Markov state models (MSMs) has had many notable algorithmic advances in recent years. The variational principle has opened the door for a nearly fully automated…

Biological Physics · Physics 2019-11-26 Martin K. Scherer , Brooke E. Husic , Moritz Hoffmann , Fabian Paul , Hao Wu , Frank Noé

We present a Machine Learning approach based on Symbolic Regression to derive, from either numerically generated or experimentally measured spectral data, closed-form expressions that model the optical properties of biological materials. To…

Computational Physics · Physics 2025-08-26 Julian Sierra-Velez , Alexandre Vial , Marina Inchaussandague , Diana Skigin , Demetrio Macías

Plastic deformation of crystalline and amorphous matter often involves intermittent local strain burst events. To understand the physical background of the phenomenon a minimal stochastic mesoscopic model was introduced, where…

Materials Science · Physics 2017-02-15 Péter Dusán Ispánovity , Dániel Tüzes , Péter Szabó , Michael Zaiser , István Groma

Characterizing the softness of deformable materials having partial elastic and partial viscous behaviour via soft lubrication experiments has emerged as a versatile and robust methodology in recent times. However, a straightforward…

Soft Condensed Matter · Physics 2021-07-22 Pratyaksh Karan , Jeevanjyoti Chakraborty , Suman Chakraborty

During growth, tissue expands and deforms. Given its elastic properties, stresses emerge in an expanding and deforming tissue. Cell rearrangements can dissipate these stresses and numerous experiments confirm the viscoelastic properties of…

Tissues and Organs · Quantitative Biology 2017-10-20 M. D. Peters , D. Iber

Polycrystalline materials undergoing coarsening can be represented as evolving networks of grain boundaries, whose statistical characteristics determine macroscopic materials properties. The process of formation of various statistical…

Materials Science · Physics 2015-02-23 Claudio Torres , Maria Emelianenko , Dmitry Golovaty , David Kinderlehrer , Shlomo Ta'asan

X-ray crystallography is the predominant method for obtaining atomic-scale information about biological macromolecules. Despite the success of the technique, obtaining well diffracting crystals still critically limits going from protein to…

Ferrogels and magnetic elastomers differentiate themselves from other materials by their unique capability of reversibly changing shape and mechanical properties under the influence of an external magnetic field. A crucial issue in the…

Soft Condensed Matter · Physics 2015-10-28 Giorgio Pessot , Rudolf Weeber , Christian Holm , Hartmut Löwen , Andreas M. Menzel

Proteins constitute a large group of macromolecules with a multitude of functions for all living organisms. Proteins achieve this by adopting distinct three-dimensional structures encoded by the sequence of their constituent amino acids in…

Methodology · Statistics 2021-09-16 Mohammad Arashi , Najmeh Nakhaei Rad , Andriette Bekker , Wolf Dieter Schubert

In this paper, we propose a data-driven method to learn interpretable topological features of biomolecular data and demonstrate the efficacy of parsimonious models trained on topological features in predicting the stability of synthetic…

Machine Learning · Statistics 2024-08-12 Amish Mishra , Francis Motta

Accurately predicting friction in sliding interfaces that contain third body wear particles is critical for engineering applications such as sliding movement in pistons, bearings, or metal forming. We present a hierarchical multiscale…