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Related Concept Videos

Membrane Domains01:18

Membrane Domains

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The membrane domains concentrate specific lipids and proteins at one place within the membrane, which helps in cell signaling, adhesion, and other critical cellular processes. These domains can differ in size, composition, function, and lifespan.
Protein Domains
The membrane comprises a group of distinct proteins responsible for carrying out a cell's specific function. For example, the plasma membrane of the human sperm, or a single germ cell, contains a unique set of proteins in the...
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Mechanisms of Membrane Domain Formation00:59

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Different physical properties of lipids and proteins allow them to localize and form distinct islands or domains in the membrane. Some membrane domains are formed due to protein-protein interactions, whereas others are formed due to the presence of specific lipids such as sphingolipids and sterols—for example, large proteins, such as bacteriorhodopsin, aggregate and create distinct domains.
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Fluid Mosaic Model01:19

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Scientists identified the plasma membrane in the 1890s and its principal chemical components (lipids and proteins) by 1915. The model for plasma membrane structure, proposed in 1935 by Hugh Davson and James Danielli, was the first model to be widely accepted in the scientific community. The model was based on the plasma membrane's "railroad track" appearance in early electron micrographs. Davson and Danielli theorized that the plasma membrane's structure resembled a sandwich...
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Membrane Fluidity01:26

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Membrane fluidity is explained by the fluid mosaic model of the cell membrane, which describes the plasma membrane structure as a mosaic of components—including phospholipids, cholesterol, proteins, and carbohydrates—that gives the membrane a fluid character.
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Membrane Fluidity01:23

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Cell membranes are composed of phospholipids, proteins, and carbohydrates loosely attached to one another through chemical interactions. Molecules are generally able to move about in the plane of the membrane, giving the membrane its flexible nature called fluidity. Two other features of the membrane contribute to membrane fluidity: the chemical structure of the phospholipids and the presence of cholesterol in the membrane.
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Mechanisms of Membrane-bending01:15

Mechanisms of Membrane-bending

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The living membranes are flexible due to their fluid mosaic nature; however, their bending into different shapes is an active process regulated by specific lipids and proteins. The membrane bending can be transient as seen in vesicles or stable for a long time as in microvilli. Cells regulate the size, location, and duration of the membrane curvature.
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Reconstitution of Septin Assembly at Membranes to Study Biophysical Properties and Functions
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Reconstitution of Septin Assembly at Membranes to Study Biophysical Properties and Functions

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Densely packed membrane configurations.

Stefanie Heyden1, Michael Ortiz2,3

  • 1ETH Zurich, 8092 Zurich, Switzerland.

Meccanica
|October 9, 2025
PubMed
Summary
This summary is machine-generated.

We modeled fluid membranes to find low-energy packing. Minimizing elastic energy and crease formation reveals that membranes form a single, densely packed sheet without topological constraints.

Keywords:
Dense packingsDirector field methodFluid membranes

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Area of Science:

  • Physics
  • Materials Science
  • Applied Mathematics

Background:

  • Fluid membranes are ubiquitous in biological and synthetic systems.
  • Understanding their packing behavior is crucial for predicting material properties.
  • Elastic energy minimization is a key principle governing membrane configurations.

Purpose of the Study:

  • To develop a mathematical model for densely packed fluid membranes.
  • To determine energy-minimizing packing configurations.
  • To investigate the role of topological constraints and creases.

Main Methods:

  • Developed a simple mathematical model for fluid membranes.
  • Employed a finite-difference discretization scheme for numerical calculations.
  • Incorporated minimization of elastic and crease energies.

Main Results:

  • Energy-minimizing configurations without topological constraints resemble solutions to the eikonal equation, forming foliations of closed surfaces.
  • Allowing for cuts and creases, and minimizing crease energy, leads to configurations of a single, densely packed sheet.

Conclusions:

  • The study provides insights into the self-assembly and morphology of fluid membranes.
  • Mathematical modeling and energy minimization are powerful tools for understanding complex membrane structures.
  • The findings suggest a mechanism for forming single-sheet membrane structures through energy minimization principles.