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This paper considers the backstepping state feedback control of coupled linear parabolic PDEs with spatially varying coefficients and bilateral actuation. By making use of the folding technique, a system representation with unilateral…

Optimization and Control · Mathematics 2021-04-13 Simon Kerschbaum , Joachim Deutscher

Chromatin and associated proteins constitute the highly folded structure of chromosomes. We consider a self-avoiding polymer model of the chromatin, segments of which may get cross-linked via protein binders that repel each other. The…

Soft Condensed Matter · Physics 2019-06-13 Amit Kumar , Debasish Chaudhuri

A combined molecular docking and molecular structure in silico analysis on the substrate and product of leukotriene A4 hydrolase (LTA4H) was performed. The molecular structures of the substrate leukotriene A4 (LTA4) and product leukotirene…

Chemical Physics · Physics 2012-07-05 Paula B. Paz , Esteban G. Vega-Hissi , Mario R. Estrada , Juan C. Garro Martinez

As an example of topic where biology and physics meet, we present the issue of protein folding and stability, and the development of thermodynamics-based bioinformatics tools that predict the stability and thermal resistance of proteins and…

Biomolecules · Quantitative Biology 2016-03-15 Fabrizio Pucci , Marianne Rooman

The stabilization of macromolecules is fundamental to developing biological formulations, such as vaccines and protein therapeutics. In this study, we employ coarse grained polymer models to investigate the impact of four sugars:…

Soft Condensed Matter · Physics 2025-11-26 Praveen Muralikrishnan , Jonathan W. P. Zajac , Caryn L. Heldt , Sarah L. Perry , Sapna Sarupria

Many biological processes are supported by special molecules, called motor proteins or molecular motors, that transport cellular cargoes along linear protein filaments and can reversibly associate to their tracks. Stimulated by these…

Statistical Mechanics · Physics 2021-11-17 Akriti Jindal , Anatoly B. Kolomeisky , Arvind Kumar Gupta

The approach for the description of the DNA conformational transformations on the mesoscopic scales in the frame of the double helix is presented. Due to consideration of the joint motions of DNA structural elements along the conformational…

Biomolecules · Quantitative Biology 2009-09-29 S. N. Volkov

The induction of the lac operon follows cooperative kinetics.The first mechanistic model of these kinetics is the de facto standard in the modeling literature (Yagil & Yagil, Biophys J, 11, 11-27, 1971). Yet, subsequent studies have shown…

Molecular Networks · Quantitative Biology 2007-05-23 Atul Narang

The stability of a $\beta$-sheeted conformation and its transition into a random coil are studied with a 2D lattice biopolymer model. At low temperature and low external force, the polymer folds back and forth on itself and forms a…

Soft Condensed Matter · Physics 2007-05-23 Haijun Zhou

A new lattice protein model with a four-helix bundle ground state is analyzed by a parameter-space Monte Carlo histogram technique to evaluate the effects of an extensive variety of model potentials on folding thermodynamics. Cooperative…

Statistical Mechanics · Physics 2009-10-31 Huseyin Kaya , Hue Sun Chan

Understanding the mechanism of protein secondary structure formation is an essential part of protein-folding puzzle. Here we describe a simple model for the formation of the $\beta$-hairpin, motivated by the fact that folding of a…

Soft Condensed Matter · Physics 2009-10-31 Chinlin Guo , Herbert Levine , David Kessler

Entropic repulsion between DNA ring polymers under confinement is the key mechanism governing the spatial segregation of bacterial chromosomes, although it remains incompletely understood how proteins aid the process of entropic…

Soft Condensed Matter · Physics 2021-12-23 Debarshi Mitra , Shreerang Pande , Apratim Chatterji

Natural protein sequences somehow encode the structural forms that these molecules adopt. Recent developments in structure-prediction are agnostic to the mechanisms by which proteins fold and represent them as static objects. However, the…

Biomolecules · Quantitative Biology 2025-05-26 Ezequiel A. Galpern , Federico Caamaño , Diego U. Ferreiro

We propose that semiflexible polymers in poor solvent collapse in two stages. The first stage is the well known formation of a dense toroidal aggregate. However, if the solvent is sufficiently poor, the condensate will undergo a second…

Soft Condensed Matter · Physics 2009-11-10 Igor M. Kulic , Denis Andrienko , Markus Deserno

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

Proteins are translated from the N- to the C-terminus, raising the basic question of how this innate directionality affects their evolution. To explore this question, we analyze 16,200 structures from the protein data bank (PDB). We find…

Biomolecules · Quantitative Biology 2021-03-17 John M McBride , Tsvi Tlusty

Many native structures of proteins accomodate complex topological motifs such as knots, lassos, and other geometrical entanglements. How proteins can fold quickly even in the presence of such topological obstacles is a debated question in…

Soft Condensed Matter · Physics 2020-10-07 Federico Norbiato , Flavio Seno , Antonio Trovato , Marco Baiesi

The principles underlying protein folding remains one of Nature's puzzles with important practical consequences for Life. An approach that has gathered momentum since the late 1990's, looks at protein hetero-polymers and their folding…

Computational Engineering, Finance, and Science · Computer Science 2011-10-05 Susan Khor

One of the most puzzling and unsolved challenges in molecular biology is understanding how proteins fold. Despite having advanced predictive tools that can accurately estimate the native structures of proteins, we still lack a comprehensive…

Biomolecules · Quantitative Biology 2026-01-13 Jorge Vila

Mechanical stretching of six proteins is studied through molecular dynamics simulations. The model is Go-like, with Lennard-Jones interactions at native contacts. Low temperature unfolding scenarios are remarkably complex and sensitive to…

Biomolecules · Quantitative Biology 2009-11-10 Marek Cieplak , Trinh Xuan Hoang , Mark O. Robbins