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Partitioning of (bio)materials in polymeric mixtures is a key phenomenon both in cellular environments, as well as in industrial applications. In cells, several macromolecules are suspended within different biomolecular phases. On the other…

Soft Condensed Matter · Physics 2025-10-15 Vikki Anand Varma , Alberto Scacchi

An exact analytical solution of the statistical multifragmentation model is found in thermodynamic limit. Excluded volume effects are taken into account in the thermodynamically self-consistent way. The model exhibits a 1-st order phase…

Nuclear Theory · Physics 2007-05-23 K. A. Bugaev , M. I. Gorenstein , I. N. Mishustin , W. Greiner

Lipid bilayer membranes below their main transition have two tilt order parameters, corresponding to the two monolayers. These two tilts may be strongly coupled to membrane shape but only weakly coupled to each other. We discuss some…

Soft Condensed Matter · Physics 2009-10-28 Udo Seifert , Julian Shillcock , Philip Nelson

We derived free energy functional of a bilayer lipid membrane from the first principles of elasticity theory. The model explicitly includes position-dependent mutual slide of monolayers and bending deformation. Our free energy functional of…

Soft Condensed Matter · Physics 2009-11-10 S. V. Baoukina , S. I. Mukhin

A one-dimensional model on a line of the length L is investigated, which involves particle diffusion as well as single particle annihilation. There are also creation and annihilation at the boundaries. The static and dynamical behaviors of…

Mathematical Physics · Physics 2014-03-17 Mohammad Khorrami , Amir Aghamohammadi

We use a simple and efficient computer model to investigate the physical properties of bilayer membranes. The amphiphilic molecules are modeled as short rigid trimers with finite range pair interactions between them. The pair potentials…

Soft Condensed Matter · Physics 2009-11-10 Oded Farago

We theoretically investigate the thermally-driven curvature and lipid density fluctuations of a quasi-spherical vesicle, accounting for the dissipation due to monolayer viscosity and intermonolayer friction. The theory predicts that…

Soft Condensed Matter · Physics 2026-05-06 Petia M. Vlahovska , Rony Granek

We employ a molecular model to study a ternary mixture of saturated lipid, with tails of sixteen carbons, a mono unsaturated lipid with tails of eighteen carbons, and cholesterol. The model, solved within mean-field theory, produces several…

Biological Physics · Physics 2009-11-11 R. Elliott , I. Szleifer , M. Schick

Response of lipid bilayers to external mechanical stimuli is an active area of research with implications for fundamental and synthetic cell biology. However, there is a lack of tools for systematically imposing mechanical strains and…

Binary fluid mixtures are examples of complex fluids whose microstructure and flow are strongly coupled. For pairs of simple fluids, the microstructure consists of droplets or bicontinuous demixed domains and the physics is controlled by…

Soft Condensed Matter · Physics 2018-06-05 Michael E. Cates , Elsen Tjhung

We derive and analyse an energy to model lipid raft formation on biological membranes involving a coupling between the local mean curvature and the local composition. We apply a perturbation method recently introduced by Fritz, Hobbs and…

Analysis of PDEs · Mathematics 2020-12-24 Charles M. Elliott , Luke Hatcher

We review recent computer simulation studies of undulating lipid bilayers. Theoretical interpretations of such fluctuating membranes are most commonly based on generalized Helfrich-type elastic models, with additional contributions of local…

Biological Physics · Physics 2013-09-03 Friederike Schmid

A new approach is developed for computational modelling of microstructure evolution problems. The approach combines the phase-field method with the recently-developed laminated element technique (LET) which is a simple and efficient method…

Numerical Analysis · Mathematics 2024-02-29 Jedrzej Dobrzanski , Stanislaw Stupkiewicz

Fluorescence resonance energy transfer (FRET) from individual, dye-labeled RNA molecules confined in freely-diffusing attoliter-volume aqueous droplets is carefully compared to FRET from unconfined RNA in solution. The use of…

Biological Physics · Physics 2015-05-21 Sheema Rahmanseresht , Peker Milas , Kieran P. Ramos , Ben D. Gamari , Lori S. Goldner

FRET-based approaches are a unique tool for sensing the immediate surroundings and interactions of (bio)molecules. FRET imaging and FLIM (Fluorescence Lifetime Imaging Microscopy) enable the visualization of the spatial distribution of…

Many coarse-grained models have been developed for equilibrium studies of lipid bilayer membranes. To achieve in simulations access to length-scales and time-scales difficult to attain in fully atomistic molecular dynamics, these…

Soft Condensed Matter · Physics 2023-02-28 Yaohong Wang , Jon Karl Sigurdsson , Paul J. Atzberger

The supramolecular assembly of lipids into bilayer membranes is essential for cellular structure and function. However, the impact of lipid structural variations such as acyl chain length, degree of unsaturation, and headgroup type on…

Soft Condensed Matter · Physics 2024-12-13 Sonam Phuntsho

Coarse-grained continuous descriptions for lipid bilayers are typically based on minimizing the Helfrich energy. Such models consider the fluid properties of these structures only implicitly and have been shown to nicely reproduce…

Soft Condensed Matter · Physics 2026-04-29 Ingo Nitschke , Jan Magnus Sischka , Axel Voigt

We apply lattice Boltzmann methods to study the segregation of binary fluid mixtures under oscillatory shear flow in two dimensions. The algorithm allows to simulate systems whose dynamics is described by the Navier-Stokes and the…

Soft Condensed Matter · Physics 2009-11-07 Aiguo Xu , G. Gonnella , A. Lamura

In this work lipid ordering phase changes arising in planar membrane bilayers is investigated both accounting for elas- ticity alone and for effective viscoelastic response of such assemblies. The mechanical response of such membranes is…

Soft Condensed Matter · Physics 2015-10-16 L. Deseri , P. Pollaci , M. Zingales , K. Dayal
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