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Transport across heterogeneous, patchy environments is a ubiquitous phenomenon spanning fields of study including ecological movement, intracellular transport and regions of specialised function in a cell. These regions or patches may be…

Statistical Mechanics · Physics 2017-10-06 Sergei Fedotov , Helena Stage

The thermodynamic (TD) properties of biological membranes play a central role for living systems. It has been suggested, for instance, that nonlinear pulses such as action potentials (APs) can only exist if the membrane state is in vicinity…

Biological Physics · Physics 2020-07-16 Christian Fillafer , Anne Paeger , Matthias F. Schneider

Reactive, semi-permeable interfaces play important roles in key biological processes such as targeted drug delivery, lipid metabolism, and signal transduction. These systems involve coupled surface reactions, transmembrane transport, and…

Numerical Analysis · Mathematics 2025-07-22 Weidong Shi , Shixin Xu , Zhen Zhang , Quan Zhao

How internal forces are transduced into motion through soft, fluid membranes remains a fundamental question in the study of active systems. To investigate this coupling, we develop a minimal system consisting of a single ferromagnetic…

Soft Condensed Matter · Physics 2025-07-11 Paula Magrinya , Arin Escobar Ortiz , Juan L. Aragones , Laura R. Arriaga

Early recordings of nervous conduction revealed a notable thermal signature associated with the electrical signal. The observed production and subsequent absorption of heat arise from physicochemical processes that occur at the cell…

Biological Physics · Physics 2020-02-19 Aymar C. L. de Lichtervelde , J. Pedro de Souza , Martin Z. Bazant

Transport of ions and small molecules across the cell membrane against electrochemical gradients is catalyzed by integral membrane proteins that use a source of free energy to drive the energetically uphill flux of the transported…

Biomolecules · Quantitative Biology 2022-03-25 Oliver Beckstein , Fiona Naughton

A generalized multibaker map with periodic boundary conditions is shown to model boundary-driven transport, when the driving is applied by a ``perturbation'' of the dynamics localised in a macroscopically small region. In this case there…

Chaotic Dynamics · Physics 2015-06-26 Juergen Vollmer , Tamas Tel , Laszlo Matyas

Quantitative studies of cell metabolism are often based on large chemical reaction network models. A steady state approach is suited to analyze phenomena on the timescale of cell growth and circumvents the problem of incomplete experimental…

Molecular Networks · Quantitative Biology 2019-02-20 A. De Martino , D. De Martino , E. Marinari

Molecular motors work collectively to transport cargo within cells, with anywhere from one to several hundred motors towing a single cargo. For a broad class of collective-transport systems, we use tools from stochastic thermodynamics to…

Statistical Mechanics · Physics 2022-09-13 Matthew P. Leighton , David A. Sivak

Membranes regulate transport in a wide variety of industrial and biological applications. The microscale geometry of the membrane can significantly affect overall transport through the membrane, but the precise nature of this multiscale…

Soft Condensed Matter · Physics 2026-02-02 Molly Brennan , Edwina F. Yeo , Philip Pearce , Mohit P. Dalwadi

All living cells transport molecules and ions across membranes, often against concentration gradients. This active transport requires continual energy expenditure and is clearly a nonequilibrium process for which standard equilibrium…

Subcellular Processes · Quantitative Biology 2007-05-23 Robert W. Finkel

Many fundamental biological processes are dependent on cellular migration. Although the mechanical mechanisms of single-cell migration are relatively well understood, those underlying migration of multiple cells adhered to each other in a…

Biological Physics · Physics 2023-07-25 Katsuhiko Sato

The architecture of the eukaryotic genome is characterized by a high degree of spatial organization. Chromosomes occupy preferred territories correlated to their state of activity and, yet, displace their genes to interact with remote sites…

Genomics · Quantitative Biology 2015-05-14 Mario Nicodemi , Antonella Prisco

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

Cells produce RNA and proteins via molecular templating networks. We show that information transmission in such networks is bounded by functions of a simple thermodynamic property of the network, regardless of complexity. Surprisingly,…

Biological Physics · Physics 2025-06-10 Benjamin Qureshi , Jenny M. Poulton , Thomas E. Ouldridge

Technologies based on the use of hydrogen are promising for future energy requirements in a more sustainable world. Consequently, modelling fuel cells is crucial, for instance, to optimize their control to achieve excellent performance, to…

Systems and Control · Electrical Eng. & Systems 2024-10-18 Raphaël Gass , Zhongliang Li , Rachid Outbib , Samir Jemei , Daniel Hissel

We consider a continuum mechanical model for the migration of multiple cell populations through parts of tissue separated by thin membranes. In this model, cells belonging to different populations may be characterised by different…

Analysis of PDEs · Mathematics 2021-09-28 Chiara Giverso , Tommaso Lorenzi , Luigi Preziosi

The Na$^+$/K$^+$ ATPase is an essential component of cardiac electrophysiology, maintaining physiological Na$^+$ and K$^+$ concentrations over successive heart beats. Terkildsen et al. (2007) developed a model of the ventricular myocyte…

Biomolecules · Quantitative Biology 2020-09-08 Michael Pan , Peter J. Gawthrop , Joseph Cursons , Kenneth Tran , Edmund J. Crampin

Here we generalize our previous model of molecular motors trafficking subdiffusing cargos in viscoelastic cytosol by (i) including mechanochemical coupling between cyclic conformational fluctuations of the motor protein driven by the…

Biological Physics · Physics 2015-05-01 Igor Goychuk

Cell membranes separate the cell interior from the external environment. They are constituted by a variety of lipids; their composition determines the dynamics of membrane proteins and affects the ability of the cells to adapt. Even though…

Quantitative Methods · Quantitative Biology 2018-10-04 Nicola Galvanetto