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We classify the stability of flat-core $p$-elasticae in $\mathbf{R}^d$ subject to the pinned boundary condition. Together with previous work, this completes the classification of stable pinned $p$-elasticae in $\mathbf{R}^d$ for all…

Analysis of PDEs · Mathematics 2025-08-15 Tatsuya Miura , Kensuke Yoshizawa

Proteins are vital biological molecules found in every living organism, and their function is determined by what shape they fold into. Peptides are essentially subsets of proteins, and therefore ideal as model systems for protein folding.…

Biological Physics · Physics 2025-09-11 Åke Andersson , Vitali Zhaunerchyk

Cellular functions are established through biological evolution, but are constrained by the laws of physics. For instance, the physics of protein folding limits the lengths of cellular polypeptide chains. Consequently, many cellular…

Biological Physics · Physics 2019-07-09 Pablo Sartori , Stanislas Leibler

We review the background, theory and general equations for the analysis of equilibrium protein unfolding experiments, focusing on denaturant and heat-induced unfolding. The primary focus is on the thermodynamics of reversible…

Biological Physics · Physics 2020-12-23 Kresten Lindorff-Larsen , Kaare Teilum

We describe and test an implicit solvent all-atom potential for simulations of protein folding and aggregation. The potential is developed through studies of structural and thermodynamic properties of 17 peptides with diverse secondary…

Biomolecules · Quantitative Biology 2009-04-09 Anders Irbäck , Simon Mitternacht , Sandipan Mohanty

Polypeptides can self-assemble into hierarchically organized fibrils consisting of a stack of individually folded polypeptides driven together by hydrophobic interaction. Using a coarse grained model, we systematically studied this…

Soft Condensed Matter · Physics 2013-07-31 Ran Ni , Sanne Abeln , Marieke Schor , Martien A. Cohen Stuart , Peter G. Bolhuis

Proteins work only if folded in their native state, but changes in temperature T and pressure P induce their unfolding. Therefore for each protein there is a stability region (SR) in the T-P thermodynamic plane outside which the biomolecule…

Soft Condensed Matter · Physics 2017-04-12 Valentino Bianco , Neus Pagès Gelabert , Ivan Coluzza , Giancarlo Franzese

The goal of quantitative elastography is to identify biomechanical parameters from interior displacement data, which are provided by other modalities, such as ultrasound or magnetic resonance imaging. In this paper, we analyze the stability…

Analysis of PDEs · Mathematics 2015-06-19 Thomas Widlak , Otmar Scherzer

We study the folding thermodynamics of a beta-hairpin and two three-stranded beta-sheet peptides using a simplified sequence-based all-atom model, in which folding is driven mainly by backbone hydrogen bonding and effective hydrophobic…

Biomolecules · Quantitative Biology 2007-05-23 Anders Irbäck , Fredrik Sjunnesson

We study a minimal extension of the worm-like chain to describe polypeptides having alpha-helical secondary structure. In this model presence/absence of secondary structure enters as a scalar variable that controls the local chain bending…

Statistical Mechanics · Physics 2009-11-10 Buddhapriya Chakrabarti , Alex J. Levine

Protein aggregation in cell membrane is vital for the majority of biological functions. Recent experimental results suggest that transmembrane domains of proteins such as $\alpha$-helices and $\beta$-sheets have different structural…

Biological Physics · Physics 2016-01-20 Hamidreza Jafarinia , Atefeh Khoshnood , Mir Abbas Jalali

Development of the new antimicrobial agents against antibiotic resistance pathogens is the nowadays challenge. Antimicrobial peptides (AMP) occur as important defence agents in many organisms and offer a viable alternative to conventional…

Biomolecules · Quantitative Biology 2013-07-24 M. Pirtskhalava , B. Vishnepolsky , M. Grigolava

A theoretical approach has been undertaken in order to model the thermodynamic equilibrium of a vesicle adhering to a flat substrate. The vesicle is treated in a canonical description with a fixed number of sites. A finite number of these…

Soft Condensed Matter · Physics 2009-11-11 Ana-Suncana Smith , Udo Seifert

Comments: 6 pages RevTeX, 6 Postscript figures. We review a statistical mechanics treatment of the stability of globular proteins based on a simple model Hamiltonian taking into account protein self interactions and protein-water…

Condensed Matter · Physics 2009-10-31 Alex Hansen , Mogens H. Jensen , Kim Sneppen , Giovanni Zocchi

The protein folding problem has attracted an increasing attention from physicists. The problem has a flavor of statistical mechanics, but possesses the most common feature of most biological problems -- the profound effects of evolution. I…

Statistical Mechanics · Physics 2009-10-31 Chao Tang

Assembly and stability of mitotic spindle is governed by the interplay of various intra-cellular forces, e.g. the forces generated by motor proteins by sliding overlapping anti-parallel microtubules (MTs) polymerized from the opposite…

Biological Physics · Physics 2016-08-24 Paolo Malgaretti , Sudipto Muhuri

Single-molecule pulling experiments on unstructured proteins linked to neurodegenerative diseases have measured rupture forces comparable to those for stable folded proteins. To investigate the structural mechanisms of this unexpected force…

Biomolecules · Quantitative Biology 2013-06-19 S. Æ. Jónsson , S. Mitternacht , A. Irbäck

The linear stability of a lipid membrane under a DC electric field, applied perpendicularly to the interface, is investigated in the electrokinetic framework, taking into account the dynamics of the Debye layers formed near the membrane.…

Soft Condensed Matter · Physics 2025-10-10 Zongxin Yu , Shuozhen Zhao , Michael J. Miksis , Petia M. Vlahovska

Peptides are ubiquitous and important biologically derived molecules, that have been found to self-assemble to form a wide array of structures. Extensive research has explored the impacts of both internal chemical composition and external…

Soft Condensed Matter · Physics 2024-11-11 Zhenze Yang , Sarah K. Yorke , Tuomas P. J. Knowles , Markus J. Buehler

We introduce a simple theoretical approach for an equilibrium study of proteins with known native state structures. We test our approach with results on well-studied globular proteins, Chymotrypsin Inhibitor (2ci2), Barnase and the alpha…

Statistical Mechanics · Physics 2009-11-07 Cristian Micheletti , Jayanth Banavar , Amos Maritan