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Polymers02:34

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The word polymer is derived from the Greek words “poly” which means “many” and “mer” which means “parts”. Polymers are long chains of molecules composed of repeating units of smaller molecules, known as monomers. They either occur naturally, such as DNA and proteins, or can be constructed synthetically, like plastics. They have varied structural characteristics, such as linear chains, branched chains, or complex networks, that contribute to the...
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Newton's law of gravitation describes the gravitational force between any two point masses. However, for extended spherical objects like the Earth, the Moon, and other planets, the law holds with an assumption that masses of spherical objects are concentrated at their respective centers.
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Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures
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Confining annealed branched polymers inside spherical capsids.

Alexander Y Grosberg1, Robijn Bruinsma2,3

  • 1Department of Physics and Center for Soft Matter Research, New York University, 726 Broadway, New York, NY, 10003, USA. ayg1@nyu.edu.

Journal of Biological Physics
|February 15, 2018
PubMed
Summary
This summary is machine-generated.

Branched polymers confined in spherical cavities exhibit unique quantum harmonic oscillator behavior. Their confinement energy scales with 1/R⁴, differing from linear polymers’ 1/R² scaling.

Keywords:
Branched polymersConfinementViral RNA

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Area of Science:

  • Polymer physics
  • Statistical mechanics
  • Quantum mechanics

Background:

  • The Lifshitz equation describes polymer confinement in spherical cavities.
  • Linear polymers confined in such cavities follow a Schrödinger equation analogous to a particle in a potential well.

Purpose of the Study:

  • To investigate the Lifshitz equation for confined annealed branched polymers.
  • To determine the confinement energy dependence on cavity radius for branched polymers.

Main Methods:

  • Mathematical modeling using the Lifshitz equation.
  • Analogy to the Schrödinger equation for quantum systems.

Main Results:

  • The Lifshitz equation for confined branched polymers resembles the Schrödinger equation for a quantum harmonic oscillator.
  • Confinement energy for branched polymers shows a 1/R⁴ dependence on the cavity radius R.
  • This contrasts with the 1/R² dependence observed for confined linear polymers.

Conclusions:

  • Branched polymers exhibit distinct confinement behavior compared to linear polymers.
  • The findings have implications for understanding the encapsulation of molecules like single-stranded RNA within viral capsids.