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Related Concept Videos

Modes of Standing Waves - I01:03

Modes of Standing Waves - I

A close look at earthquakes provides evidence for the conditions appropriate for resonance, standing waves, and constructive and destructive interference. A building may vibrate for several seconds with a driving frequency matching the building's natural frequency of vibration; this produces a resonance that results in one building collapsing while the neighboring buildings do not. Often, buildings of a certain height are devastated, while other taller buildings remain intact. This phenomenon...
Modes of Standing Waves: II01:04

Modes of Standing Waves: II

The starting point for expressing the modes of standing waves is understanding the boundary conditions that the waves must follow. The boundary conditions are derived from the physical understanding of how the standing waves are sustained, that is, how the vibrating particles of the medium behave at the boundaries imposed on them.
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end.
Standing Waves in a Cavity01:28

Standing Waves in a Cavity

A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
Sound Waves: Resonance01:14

Sound Waves: Resonance

Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...
Disassembly of Intermediate Filaments01:35

Disassembly of Intermediate Filaments

Intermediate filaments (IFs) do not undergo spontaneous disassembly. Enzymes, kinases, and phosphatases add and remove phosphates from specific sites to regulate their disassembly. The IF concentration in the cytoplasm also regulates the disassembly. If the concentration crosses a threshold, it activates the protein kinases in the vicinity, allowing the phosphorylation of IFs.
Keratin proteins, found at the cell periphery near cell junctions, undergo a cycle of assembly and disassembly. In Type...
Formation of Higher-order Actin Filaments01:11

Formation of Higher-order Actin Filaments

The polymerization of G-actin monomers into filamentous F-actin is a multi-step process. Once the F-actins are formed, they can bundle together in different arrangements to form higher-order networks and regulate cellular functions. Common examples include the formation of lamellipodia and filopodia at the cell's leading edge by actin reorganization in a migrating cell. The microvilli on the brush border epithelial cells are also formed through the F-actin network.
The high-order actin networks...

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Spectral and Angle-Resolved Magneto-Optical Characterization of Photonic Nanostructures
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Topological phonon modes in filamentary structures.

Nina Berg1, Kira Joel, Miriam Koolyk

  • 1Department of Physics, Yeshiva University, New York, New York 10016, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 17, 2011
PubMed
Summary

This study identifies a new type of topological phonon, which are robust mechanical vibrations, in simple biological filament structures. These findings suggest topological phonons may be widespread in nature and utilized by living organisms.

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Area of Science:

  • Solid State Physics
  • Biophysics
  • Materials Science

Background:

  • Topological phonon modes are mechanical vibrations with unique robustness properties.
  • Previous work identified these modes in 2D structures like microtubules.
  • The biological relevance of these modes is an emerging area of research.

Purpose of the Study:

  • To introduce and analyze a novel class of topological phonon modes.
  • To investigate these modes in quasi-one-dimensional filamentary structures with inversion symmetry.
  • To explore the potential ubiquity and biological function of topological phonons.

Main Methods:

  • Theoretical modeling and analysis of quasi-1D filamentary structures.
  • Utilizing a system inspired by actin microfilaments as a model.
  • Detailed analysis in both time and frequency domains.

Main Results:

  • A new class of topological phonon modes has been identified in quasi-1D structures.
  • The actin microfilament-inspired system serves as a simple model for studying these modes.
  • The analysis provides insights into the behavior of topological phonons in simplified biological contexts.

Conclusions:

  • Topological phonon modes can exist in simple, quasi-1D biological structures.
  • The identified modes are robust against structural deformations.
  • It is hypothesized that topological phonons are ubiquitous in biology and play functional roles in living organisms.