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The function of proteins arises from cooperative interactions and rearrangements of their amino acids, which exhibit large-scale dynamical modes. Long-range correlations have also been revealed in protein sequences, and this has motivated…

Quantitative Methods · Quantitative Biology 2018-05-02 Sandipan Dutta , Jean-Pierre Eckmann , Albert Libchaber , Tsvi Tlusty

We present a novel formulation for biochemical reaction networks in the context of signal transduction. The model consists of input-output transfer functions, which are derived from differential equations, using stable equilibria. We select…

Molecular Networks · Quantitative Biology 2013-02-26 Gabriele Scheler

Cellular membranes are elastic lipid bilayers that contain a variety of proteins, including ion channels, receptors, and scaffolding proteins. These proteins are known to diffuse in the plane of the membrane and to influence the bending of…

Soft Condensed Matter · Physics 2020-10-28 Arijit Mahapatra , David Saintillan , Padmini Rangamani

Protein synthesis is one of the most fundamental biological processes, which consumes a significant amount of cellular resources. Despite existence of multiple mathematical models of translation, varying in the level of mechanistical…

Molecular Networks · Quantitative Biology 2021-01-06 Alexander N. Gorban , Annick Harel-Bellan , Nadya Morozova , Andrei Zinovyev

Cells use temporal dynamical patterns to transmit information via signaling pathways. As optimality with respect to the environment plays a fundamental role in biological systems, organisms have evolved optimal ways to transmit information.…

Biological Physics · Physics 2016-12-21 Yoshihiko Hasegawa

We present a three dimensional, time dependent model for bone regeneration in the presence of porous scaffolds to bridge critical size bone defects. Our approach uses homogenized quantities, thus drastically reducing computational cost…

Analysis of PDEs · Mathematics 2021-01-25 Patrick Dondl , Patrina S. P. Poh , Marius Zeinhofer

Experimental observations suggest that proteins follow different pathways under different environmental conditions. We perform molecular dynamics simulations of a model of the SH3 domain over a broad range of temperatures, and identify…

Biological Physics · Physics 2009-11-10 J. M. Borreguero , F. Ding , S. V. Buldyrev , H. E. Stanley , N. V. Dokholyan

We study the mechanical unfolding of a simple model protein. The Langevin dynamics results are analyzed using Markov-model methods which allow to describe completely the configurational space of the system. Using transition path theory we…

Biological Physics · Physics 2015-06-08 Rafael Tapia-Rojo , Sergio Arregui , Juan José Mazo , Fernando Falo

Control of the cytoskeleton and mechanical contacts with the extracellular environment are essential component of motility in eukaryotic cells. In the absence of signals, cells continuously rebuild the cytoskeleton and periodically extend…

Cell Behavior · Quantitative Biology 2013-09-27 Varunyu Khamviwath , Hans G. Othmer

Intracellular transport processes are essential to the healthy development of many organisms as well as more generally to healthy cellular function. The complex dynamics and interactions between protein molecules and filaments on different…

Dynamical Systems · Mathematics 2022-07-27 Maria-Veronica Ciocanel

We describe modeling approaches to a "network" of connected enzyme-catalyzed reactions, with added (bio)chemical processes that introduce biochemical filtering steps into the functioning of such a biocatalytic cascade. Theoretical…

Molecular Networks · Quantitative Biology 2016-12-13 Vladimir Privman

How do single cell fate decisions induced by activation of key signaling proteins above threshold concentrations within a time interval are affected by stochastic fluctuations in biochemical reactions? We address this question using minimal…

Molecular Networks · Quantitative Biology 2015-06-12 Jayajit Das

Experiments show that the movement of eukaryotic cells is regulated by a process of phase separation of two competing enzymes on the cell membrane, that effectively amplifies shallow external gradients of chemical attractant. Notably, the…

Statistical Mechanics · Physics 2008-12-19 Teresa Ferraro , Antonio de Candia , Andrea Gamba , Antonio Coniglio

Synthesis of protein molecules in a cell are carried out by ribosomes. A ribosome can be regarded as a molecular motor which utilizes the input chemical energy to move on a messenger RNA (mRNA) track that also serves as a template for the…

Biological Physics · Physics 2009-07-12 Ashok Garai , Debanjan Chowdhury , Debashish Chowdhury , T. V. Ramakrishnan

We consider a problem from biological network analysis of determining regions in a parameter space over which there are multiple steady states for positive real values of variables and parameters. We describe multiple approaches to address…

Symbolic Computation · Computer Science 2019-11-25 R. Bradford , J. H. Davenport , M. England , H. Errami , V. Gerdt , D. Grigoriev , C. Hoyt , M. Kosta , O. Radulescu , T. Sturm , A. Weber

The formation of condensates is now considered as a major organization principle of eukaryotic cells. Several studies have recently shown that the properties of these condensates are affected by enzymatic reactions. We propose here a simple…

Soft Condensed Matter · Physics 2024-11-19 Jacques Fries , Javier Diaz , Marie Jardat , Ignacio Pagonabarraga , Pierre Illien , Vincent Dahirel

Performing cell-free expression (CFE) in tailored microfluidic environments is a powerful tool to investigate the organisation of biosystems from molecular to multicellular scales. While cell-free transcription-translation systems simplify…

Biomolecules · Quantitative Biology 2025-09-29 Aukse Gaizauskaite , Emma E. Crean , Imre Banlaki , Jan L. Kalkowski , Henrike Niederholtmeyer

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

Proteins fold using a two-state or multi-state kinetic mechanisms, but up to now there isn't a first-principle model to explain this different behaviour. We exploit the network properties of protein structures by introducing novel…

Molecular Networks · Quantitative Biology 2015-12-04 Giulia Menichetti , Piero Fariselli , Daniel Remondini

Natively unfolded proteins exist as an ensemble of flexible conformations lacking a well defined tertiary structure along a large portion of their polypeptide chain. Despite the absence of a stable configuration, they are involved in…

Genomics · Quantitative Biology 2008-07-14 Antonio Deiana , Andrea Giansanti
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