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The dynamics of two groups of molecular motors pulling in opposite directions on a rigid filament is studied theoretically. To this end we first consider the behavior of one set of motors pulling in a single direction against an external…

Subcellular Processes · Quantitative Biology 2015-05-13 Daniel Hexner , Yariv Kafri

Extreme mechanical processes such as strong lattice distortion and bond breakage during fracture are ubiquitous in nature and engineering, which often lead to catastrophic failure of structures. However, understanding the nucleation and…

Materials Science · Physics 2024-07-23 Pengjie Shi , Zhiping Xu

We present a statistical mechanical study of stiff polymers, motivated by experiments on actin filaments and the considerable current interest in polymer networks. We obtain simple, approximate analytical forms for the force-extension…

Soft Condensed Matter · Physics 2009-11-13 Abhijit Ghosh , Joseph Samuel , Supurna Sinha

The classical approach to protein folding inspired by statistical mechanics avoids the high dimensional structure of the conformation space by using effective coordinates. Here we introduce a network approach to capture the statistical…

Biomolecules · Quantitative Biology 2007-05-23 Erzsebet Ravasz , S. Gnanakaran , Zoltan Toroczkai

Kinetics of folding of a protein held in a force-clamp are compared to an unconstrained folding. The comparison is made within a simple topology-based dynamical model of ubiquitin. We demonstrate that the experimentally observed variations…

Biomolecules · Quantitative Biology 2009-11-13 Marek Cieplak , Piotr Szymczak

The intrinsic property of proteins to form structural motifs such as alpha-helices and beta-sheets leads to a complex phase behavior in which proteins can assemble into various types of aggregates including crystals, liquidlike phases of…

Biomolecules · Quantitative Biology 2010-06-08 Stefan Auer , Dimo Kashchiev

Protein molecules often self-assemble by means of non-covalent physical bonds to form extended filaments, such as amyloids, F-actin, intermediate filaments, and many others. The kinetics of filament growth is limited by the disassembly…

Soft Condensed Matter · Physics 2015-03-24 A. Zaccone , I. Terentjev , L. DiMichele , E. M. Terentjev

The native state structures of globular proteins are stable and well-packed indicating that self-interactions are favored over protein-solvent interactions under folding conditions. We use this as a guiding principle to derive the geometry…

Biomolecules · Quantitative Biology 2021-07-14 Tatjana Škrbić , Amos Maritan , Achille Giacometti , George D. Rose , Jayanth R. Banavar

Motor systems show an overall robustness, but because they are highly nonlinear, understanding how they achieve robustness is difficult. In many rhythmic systems, robustness against perturbations involves response of both the shape and the…

Neurons and Cognition · Quantitative Biology 2022-05-18 Yangyang Wang , Jeffrey P. Gill , Hillel J. Chiel , Peter J. Thomas

Cellular form and function emerge from complex mechanochemical systems within the cytoplasm. No systematic strategy currently exists to infer large-scale physical properties of a cell from its many molecular components. This is a…

Protein amyloid fibrils are a form of linear protein aggregates that are implicated in many neurodegenerative diseases. Here, we study the dynamics of amyloid fibril elongation by performing Langevin dynamic simulations on a coarse-grained…

Biological Physics · Physics 2009-10-06 Chiu Fan Lee , James Loken , Letitia Jean , David J. Vaux

Exploring and understanding the protein-folding problem has been a long-standing challenge in molecular biology. Here, using molecular dynamics simulation, we reveal how parallel distributed adjacent planar peptide groups of unfolded…

Biomolecules · Quantitative Biology 2019-01-11 Xiaoliang Ma , Chengyu Hou , Liping Shi , Long Li , Jiacheng Li , Lin Ye , Lin Yang , Xiaodong He

How do protein structure prediction models fold proteins? We investigate this question by tracing how ESMFold folds a beta hairpin, a prevalent structural motif. Through counterfactual interventions on model latents, we identify two…

Machine Learning · Computer Science 2026-02-10 Kevin Lu , Jannik Brinkmann , Stefan Huber , Aaron Mueller , Yonatan Belinkov , David Bau , Chris Wendler

Protein function depends on both protein structure and amino acid (aa) sequence. Here we show that modular features of both structure and function can be quantified from the aa sequences alone for the small (40,42 aa) plaque-forming amyloid…

Biomolecules · Quantitative Biology 2014-03-06 J. C. Phillips

We propose a simple phenomenological model for describing the conformational dynamics of biopolymers via the nonlinearity-induced buckling and collapse (i.e. coiling up) instabilities. Taking into account the coupling between the internal…

Soft Condensed Matter · Physics 2009-11-07 Serge F. Mingaleev , Yuri B. Gaididei , Peter L. Christiansen , Yuri S. Kivshar

We explore dynamic structural superlubricity for the case of a relatively large contact area, where the friction force is proportional to the area (exceeding $\sim 100\,nm^2$) experimentally, numerically, and theoretically. We use a setup…

The $\alpha$ and $\beta$ subunits comprising the hexameric assembly of F1-ATPase share a high degree of structural identity, though low primary identity. Each subunit binds nucleotide in similar pockets, yet only $\beta$ subunits are…

Biomolecules · Quantitative Biology 2016-11-08 Monique M. Tirion

The need to understand the assembly kinetics of fibril formation has become urgent because of the realization that soluble oligomers of amyloidogenic peptides may be even more neurotoxic than the end product, namely, the amyloid fibrils. In…

Biomolecules · Quantitative Biology 2007-05-23 Ruxandra I. Dima , Bogdan Tarus , John E. Straub , D. Thirumalai

We describe quantitatively a RNA molecule under the influence of an external force exerted at its two ends as in a typical single-molecule experiment. Our calculation incorporates the interactions between nucleotides by using the…

Soft Condensed Matter · Physics 2009-11-07 Ulrich Gerland , Ralf Bundschuh , Terence Hwa

We study a physical system which, while devoid of the complexity one usually associates with proteins, nevertheless displays a remarkable array of protein-like properties. The constructive hypothesis that this striking resemblance is not…

Statistical Mechanics · Physics 2009-11-10 Jayanth R. Banavar , Trinh Xuan Hoang , Amos Maritan , Flavio Seno , Antonio Trovato