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Related Concept Videos

Mechanisms of Membrane-bending01:15

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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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Pulling Membrane Nanotubes from Giant Unilamellar Vesicles
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Deterministic folding in stiff elastic membranes.

T Tallinen1, J A Aström, J Timonen

  • 1Department of Physics, P.O. Box 35, FI-40014 University of Jyväskylä, Finland.

Physical Review Letters
|October 15, 2008
PubMed
Summary
This summary is machine-generated.

Stiff elastic membranes under compression exhibit complex crumpling behaviors. Numerical simulations reveal that slow compression can lead to ordered folds, while rapid compression results in random patterns.

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Area of Science:

  • Physics
  • Materials Science
  • Computational Mechanics

Background:

  • Crumpled membranes display intricate patterns of random facets and high-energy ridges.
  • Understanding the mechanics of crumpling is crucial for predicting material behavior.

Purpose of the Study:

  • To investigate the influence of initial configuration randomness and compression rate on membrane crumpling.
  • To differentiate between random ridge formation and deterministic folding in elastic membranes.

Main Methods:

  • Numerical simulations of compressed stiff elastic membranes.
  • Analysis of configurations based on randomness, elastic energy, and folding patterns.

Main Results:

  • Low initial randomness and slow compression favor deterministic, low-energy folds.
  • High initial randomness or rapid compression leads to high-entropy, random ridge configurations.
  • Folding ceases when structure thickness becomes significant, transitioning to random crumpling.

Conclusions:

  • The crumpling process of elastic membranes is highly sensitive to compression rate and initial conditions.
  • A transition from ordered folding to random crumpling occurs as the structure thickens.