Title |
Confining annealed branched polymers inside spherical capsids
|
---|---|
Published in |
Journal of Biological Physics, February 2018
|
DOI | 10.1007/s10867-018-9483-x |
Pubmed ID | |
Authors |
Alexander Y. Grosberg, Robijn Bruinsma |
Abstract |
The Lifshitz equation for the confinement of a linear polymer in a spherical cavity of radius R has the form of the Schrödinger equation for a quantum particle trapped in a potential well with flat bottom and infinite walls at radius R. We show that the Lifshitz equation of a confined annealed branched polymer has the form of the Schrödinger equation for a quantum harmonic oscillator. The resulting confinement energy has a 1/R4dependence on the confinement radius R, in contrast to the case of confined linear polymers, which have a 1/R2dependence. We discuss the application of this result to the problem of the confinement of single-stranded RNA molecules inside spherical capsids. |
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