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Experimental studies of systems containing active proteins that undergo conformational changes driven by catalytic chemical reactions have shown that the diffusion coefficients of passive tracer particles and active molecules are larger…

Soft Condensed Matter · Physics 2017-02-27 Matthew Dennison , Raymond Kapral , Holger Stark

The reaction-diffusion master equation (RDME) is a standard modelling approach for understanding stochastic and spatial chemical kinetics. An inherent assumption is that molecules are point-like. Here we introduce the crowded…

Statistical Mechanics · Physics 2016-03-23 Claudia Cianci , Stephen Smith , Ramon Grima

The work presented in this paper essentially focuses at providing a scientific theory to explain the growth of information bearing molecules (size and information contents) without the need of any enzymatic system. It infers the footprints…

Biological Physics · Physics 2009-01-15 Anita Mukherjee , Arun Kumar Attri

In bacteria, regulatory proteins search for a specific DNA binding target via "facilitated diffusion": a series of rounds of 3D diffusion in the cytoplasm, and 1D linear diffusion along the DNA contour. Using large scale Brownian dynamics…

Biological Physics · Physics 2013-09-05 C. A. Brackley , M. E. Cates , D. Marenduzzo

Unlike their model membrane counterparts, biological membranes are richly decorated with a heterogeneous assembly of membrane proteins. These proteins are so tightly packed that their excluded area interactions can alter the free energy…

Biological Physics · Physics 2017-08-23 Martin Lindén , Pierre Sens , Rob Phillips

We study the effect of confinement on diffusion limited bimolecular reactions within a lattice model where a small number of reactants diffuse amongst a much larger number of inert particles. When the number of inert particles is held…

Soft Condensed Matter · Physics 2013-05-29 Jeremy D. Schmit , Ercan Kamber , Jané Kondev

We investigate the effect of macromolecular crowding on protein folding, using purely repulsive crowding particles and a self-organizing polymer model of protein folding. We find that the thermodynamics of folding for typical alpha-, beta-…

Soft Condensed Matter · Physics 2009-02-27 Jeetain Mittal , Robert B. Best

A statistical mechanical theory is presented to predict the effects of macromolecular crowding on protein association equilibria, accounting for both excluded volume and attractive interactions between proteins and crowding molecules.…

Soft Condensed Matter · Physics 2015-06-11 Young C. Kim , Jeetain Mittal

The macroscopic behavior of the solution of a coupled system of partial differential equations arising in the modeling of reaction-diffusion processes in periodic porous media is analyzed. Our mathematical model can be used for studying…

Analysis of PDEs · Mathematics 2019-06-19 G. Cardone , C. Perugia , C. Timofte

Experiments show that macromolecular crowding modestly reduces the size of intrinsically disordered proteins (IDPs) even at volume fraction ($\phi$) similar to that in the cytosol whereas DNA undergoes a coil-to-globule transition at very…

Soft Condensed Matter · Physics 2016-12-28 Hongsuk Kang , Philip A. Pincus , Changbong Hyeon , D. Thirumalai

The spatiotemporal coordination and regulation of cell proliferation is fundamental in many aspects of development and tissue maintenance. Cells have the ability to adapt their division rates in response to mechanical constraints, yet we do…

Quantitative Methods · Quantitative Biology 2024-04-25 Carles Falcó , Daniel J. Cohen , José A. Carrillo , Ruth E. Baker

Investigation of protein self-assembly processes is important for the understanding of the growth processes of functional proteins as well as disease-causing amyloids. Inside cells, intrinsic molecular fluctuations are so high that they…

Biological Physics · Physics 2021-02-03 John Bridstrup , John S Schreck , Jesse L Jorgenson , Jian-Min Yuan

We investigate the influences of the excluded volume of molecules on biochemical reaction processes on 2-dimensional surfaces using a model of signal transduction processes on biomembranes. We perform simulations of the 2-dimensional…

Biomolecules · Quantitative Biology 2013-05-08 Masashi Fujii , Hiraku Nishimori , Akinori Awazu

The hydrodynamic effects of macromolecular crowding inside cells is often studied in vitro by using polymers as crowding reagents. Confinement of polymers inside cell-sized droplets has been shown to affect the diffusion of small molecules.…

Soft Condensed Matter · Physics 2023-04-28 Yaam Deckel , Lauren A. Lowe , Siddharth Rawat , Matthew Turner , James Luong , Anna Wang

A simple model of an active colloid consisting of dumbbell-shaped particles that cyclically change their length without propelling themselves is proposed and analyzed. At nanoscales, it represents an idealization for bacterial cytoplasm or…

Adaptation and Self-Organizing Systems · Physics 2020-01-28 Yuki Koyano , Hiroyuki Kitahata , Alexander S. Mikhailov

Most biochemical reactions in living cells rely on diffusive search for target molecules or regions in a heterogeneous overcrowded cytoplasmic medium. Rapid re-arrangements of the medium constantly change the effective diffusivity felt…

Statistical Mechanics · Physics 2019-11-13 Yann Lanoiselée , Nicolas Moutal , Denis S. Grebenkov

Diffusion in the crowded environments of the biological membranes or materials interfaces often involves intermittent binding to surface proteins or defects. To account for this situation we study a 2-dimensional lattice gas in a field of…

Soft Condensed Matter · Physics 2021-06-25 Mislav Cvitković , Dipanwita Ghanti , Niklas Raake , Ana-Sunčana Smith

Effect of molecular crowding and confinement experienced by protein in the cell during unfolding has been studied by modeling a linear polymer chain on a percolation cluster. It is known that internal structure of the cell changes in time,…

Soft Condensed Matter · Physics 2015-05-14 Amit Raj Singh , Debaprasad Giri , Sanjay Kumar

A ubiquitous observation in cell biology is that diffusion of macromolecules and organelles is anomalous, and a description simply based on the conventional diffusion equation with diffusion constants measured in dilute solution fails. This…

Soft Condensed Matter · Physics 2013-03-14 Felix Höfling , Thomas Franosch