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A model describing cell membranes as optimal shapes with regard to the $L^2$-deficit of their mean curvature to a given constant called spontaneous curvature is considered. It is shown that the corresponding energy functional is lower…

Differential Geometry · Mathematics 2023-11-01 Christian Scharrer

The anchoring biofilm layer is expected to exhibit a different response to environmental stresses than for portions in the bulk, due to the protection from other strata and the proximity to the attachment surface. The effect of hydrodynamic…

Biological Physics · Physics 2021-10-22 Mirpouyan Zarabadi , François Paquet-Mercier , Steve J. Charette , Jesse Greener

The Ekman boundary layer is a fundamental concept in fluid dynamics that describes fluid motion near boundaries affected by Earth's rotation. Most theoretical studies have simplified their analysis by assuming a planar boundary surface,…

Mathematical Physics · Physics 2025-12-23 Yifei Jia , Yi Du , Lihui Guo

We investigate the effects of bacterial activity on the mixing and transport properties of a passive scalar in time-periodic flows in experiments and in a simple model. We focus on the interactions between swimming E. coli and the…

Fluid Dynamics · Physics 2024-06-07 Ranjiangshang Ran , Paulo E. Arratia

Accretion of mineralized thin wall-like structures via localized growth along their edges is observed in a range of physical and biological systems ranging from molluscan and brachiopod shells to carbonate-silica composite precipitates. To…

Soft Condensed Matter · Physics 2022-02-23 C. Nadir Kaplan , L. Mahadevan

In living cells, protein-rich condensates can wet the cell membrane and surfaces of membrane-bound organelles. Interestingly, many phase-separating proteins also bind to membranes leading to a molecular layer of bound molecules. Here we…

Biological Physics · Physics 2022-03-22 Xueping Zhao , Giacomo Bartolucci , Alf Honigmann , Frank Jülicher , Christoph A. Weber

The purpose of this paper is to study the shapes and stabilities of bio-membranes within the framework of exterior differential forms. After a brief review of the current status in theoretical and experimental studies on the shapes of…

Soft Condensed Matter · Physics 2007-05-23 Z. C. Tu , Z. C. Ou-Yang

The celebrated experiment of Tuval et al. \cite{tuval2005bacterial} showed that the bacteria living a water drop can form a thin layer near the air-water interface, where a so-called chemotaxis-fluid system with physical boundary conditions…

Analysis of PDEs · Mathematics 2024-12-07 Jose Antonio Carrillo , Guangyi Hong , Zhi-an Wang

Morphological change of bilayer membrane in vivo is not a spontaneous procedure but modulated by various types of proteins in general. Most of these modulations are associated with the localization of related proteins in the crowded lipid…

Quantitative Methods · Quantitative Biology 2016-06-30 Michael Mikucki , Y. C. Zhou

In this article we study the shape of a compact surface of constant mean curvature of Euclidean space whose boundary is contained in a round sphere. We consider the case that the boundary is prescribed or that the surface meets the sphere…

Differential Geometry · Mathematics 2014-10-22 Rafael López , Juncheol Pyo

Escherichia coli and other bacteria use rotating helical filaments to swim. Each cell typically has about four filaments, which bundle or disperse depending on the sense of motor rotation. To study the bundling process, we built a…

Soft Condensed Matter · Physics 2009-11-10 MunJu Kim , James C. Bird , Annemarie J. Van Parys , Kenneth S. Breuer , Thomas R. Powers

In their search for metabolic resources microbes swim through viscous environments that present physical anisotropies, including steric obstacles across a wide range of sizes. Hydrodynamic forces are known to significantly alter swimmer…

Soft Condensed Matter · Physics 2020-07-03 Kentaro Hoeger , Tristan Ursell

The hydrodynamic interactions among bacterial cell bodies, flagella, and surrounding boundaries are essential for understanding bacterial motility in complex environments. In this study, we demonstrate that each slender flagellum can be…

Soft Condensed Matter · Physics 2025-01-07 Baopi Liu , Lu Chen , Ji Zhang

We derive a mathematical model and the corresponding computational scheme to study deflection of a two-dimensional elastic cantilever beam immersed in a channel, where one end of the beam is fixed to the channel wall. The immersed boundary…

Fluid Dynamics · Physics 2020-07-02 Sudeshna Ghosh

Motivated by the observations of intracellular phase separations and the wetting of cell membranes by protein droplets, we study the nonequilibrium surface wetting by Monte Carlo simulations of a lattice gas model involving particle…

Biological Physics · Physics 2022-06-23 Kyosuke Adachi , Kyogo Kawaguchi

Understanding how submerged vegetation modifies the water surface is crucial for modeling momentum exchange between shallow waters and the atmosphere. In particular, quantifying its impact on the equivalent aerodynamic roughness of the…

Fluid Dynamics · Physics 2026-01-26 Giulio Foggi Rota , Alessandro Chiarini , Marco Edoardo Rosti

The intricate wobbling motion of flagellated bacteria, characterized by the periodic precession of the cell body, is a determinant factor in their motility and navigation within complex fluid environments. While well-studied in quiescent…

Soft Condensed Matter · Physics 2026-01-26 Wei Feng , Fanglong Dang , Hao Luo , Alan C. H. Tsang , Yanan Liu , Guangyin Jing

We study the surface diffusion of the model cyanobacterium Synechocystis sp. PCC $6803$ during the incipient stages of cell contact with a glass surface in the dilute regime. We observe a twitching motility with alternating immobile…

To survive in harsh conditions, motile bacteria swim in complex environment and respond to the surrounding flow. Here we develop a PDE model describing how the flagella bending affects macroscopic properties of bacterial suspensions. First,…

Analysis of PDEs · Mathematics 2016-10-11 Mykhailo Potomkin , Magali Tournus , Leonid Berlyand , Igor Aranson

Biofilm accumulation in the porous media can cause plugging and change many physical properties of porous media. Targeted bioplugging may have significant applications for industrial processes. A deeper understanding of the relative…