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The diffusion-controlled limit of reaction times for site-specific DNA-binding proteins is derived from first principles. We follow the generally accepted concept that a protein propagates via two competitive modes, a three-dimensional…

Biological Physics · Physics 2009-11-11 Konstantin V. Klenin , Holger Merlitz , Joerg Langowski , Chen-Xu Wu

We investigate the folding and forced-unbinding transitions of adsorbed semiflexible polymer chains using theory and simulations. These processes describe biologically relevant phenomena that include adhesive interactions between proteins…

Soft Condensed Matter · Physics 2007-05-23 V. Barsegov , D. Thirumalai

Navigation of microorganisms is controlled by internal processes ultimately sensitive to mechanical or chemical signaling encountered along the path. In many natural environments, such as porous soils or physiological ducts, motile species…

Once an epidemic outbreak has been effectively contained through non-pharmaceutical interventions, a safe protocol is required for the subsequent release of social distancing restrictions to prevent a disastrous resurgence of the infection.…

The behavior of active matter under confinement poses significant challenges due to the intricate coupling between dynamics near boundaries and those in the bulk. A defining feature of active matter systems is that a substantial portion of…

Analysis of PDEs · Mathematics 2025-08-25 Leonid Berlyand , Spencer Dang , Pierre-Emmanuel Jabin , Mykhailo Potomkin

The dynamics of particles interacting by key-lock binding of attached biomolecules are studied theoretically. Experimental realizations of such systems include colloids grafted with complementary single-stranded DNA (ssDNA), and particles…

Soft Condensed Matter · Physics 2009-11-13 Nicholas A. Licata , Alexei V. Tkachenko

In many biological situations, a species arriving from a remote source diffuses in a domain confined between two parallel surfaces until it finds a binding partner. Since such a geometric shape falls in between two- and three-dimensional…

Chemical Physics · Physics 2019-11-05 Denis S. Grebenkov , Diego Krapf

Certain biochemical reactions can only be triggered after binding of a sufficient number of particles to a specific target region such as an enzyme or a protein sensor. We investigate the distribution of the reaction time, i.e., the first…

Chemical Physics · Physics 2022-10-10 Denis S. Grebenkov , Aanjaneya Kumar

Many essential cellular processes, including cell division and the establishment of cell polarity during embryogenesis, are regulated by pattern-forming proteins. These proteins often need to bind to a substrate, such as the cell membrane,…

Soft Condensed Matter · Physics 2025-10-08 Amélie Chardac , Michael M. Norton , Jonathan Touboul , Guillaume Duclos

The thermodynamic behavior of a three-dimensional off-lattice model for protein folding is probed. The model has only two types of residues, hydrophobic and hydrophilic. In absence of local interactions, native structure formation does not…

Chemical Physics · Physics 2009-10-30 Anders Irbäck , Carsten Peterson , Frank Potthast , Ola Sommelius

Many types of cells can sense external ligand concentrations with cell-surface receptors at extremely high accuracy. Interestingly, ligand-bound receptors are often internalized, a process also known as receptor-mediated endocytosis. While…

Biological Physics · Physics 2015-05-18 Gerardo Aquino , Robert G. Endres

The process of ligand-protein unbinding is crucial in biophysics. Water is an essential part of any biological system and yet, many aspects of its role remain elusive. Here, we simulate with state-of-the-art enhanced sampling techniques the…

Biological Physics · Physics 2022-09-30 Narjes Ansari , Valerio Rizzi , Michele Parrinello

Diffusion-mediated surface phenomena are crucial for human life and industry, with examples ranging from oxygen capture by lung alveolar surface to heterogeneous catalysis, gene regulation, membrane permeation and filtration processes.…

Statistical Mechanics · Physics 2020-08-19 Denis S. Grebenkov

We introduce a derangement model of ligand-receptor binding that allows us to quantitatively frame the question "How can ligands seek out and bind to their optimal receptor sites in a sea of other competing ligands and suboptimal receptor…

Biomolecules · Quantitative Biology 2022-08-24 Mobolaji Williams

Covering elastic substrates with stiff biomimetic scales significantly alters the bending behavior via scales engagement. This engagement is the dominant source of nonlinearity in small deflection regime. As deformation proceeds, an…

Soft Condensed Matter · Physics 2019-11-07 Hessein Ali , Hossein Ebrahimi , Ranajay Ghosh

Structure-based drug design (SBDD) aims to generate 3D ligand molecules that bind to specific protein targets. Existing 3D deep generative models including diffusion models have shown great promise for SBDD. However, it is complex to…

Biomolecules · Quantitative Biology 2024-03-01 Zhilin Huang , Ling Yang , Zaixi Zhang , Xiangxin Zhou , Yu Bao , Xiawu Zheng , Yuwei Yang , Yu Wang , Wenming Yang

We study a lattice model describing the non-equilibrium dynamics emerging from the pulling of a tracer particle through a disordered medium occupied by randomly placed obstacles. The model is considered in a restricted geometry pertinent…

Statistical Mechanics · Physics 2026-03-09 A. Squarcini , A. Tinti , P. Illien , O. Bénichou , T. Franosch

Resetting or restart, when applied to a stochastic process, usually brings its dynamics to a time-independent stationary state. In turn, the optimal resetting rate makes the mean time to reach a target to be the shortest one. These and…

Statistical Mechanics · Physics 2022-08-31 Przemyslaw Chelminiak

Adhesion processes of biological membranes that enclose cells and cellular organelles are essential for immune responses, tissue formation, and signaling. These processes depend sensitively on the binding constant K2D of the…

Biomolecules · Quantitative Biology 2015-11-30 Guang-Kui Xu , Jinglei Hu , Reinhard Lipowsky , Thomas R. Weikl

The motion involved in barrier crossing for protein folding are investigated in terms of the chain dynamics of the polymer backbone, completing the microscopic description of protein folding presented in the previous paper. Local reaction…

Soft Condensed Matter · Physics 2009-10-31 John J. Portman , Shoji Takada , Peter G. Wolynes