Shepherd Model for Knot-Limited Polymer Ejection from a Capsid

Details Shepherd Model for Knot-Limited Polymer Ejection from a Capsid Shepherd Model for Knot-Limited Polymer Ejection from a Capsid

2009-05-06

arxiv.org/abs/0905.0732v2

Journal Theoretical Biology 261, 488-493 (2009)

Biology

Quantitative Biology

Quantitative Methods

9 pages, 4 figures. version 2 has minor changes in response to referee comments

Scientific paper

10.1016/j.jtbi.2009.08.021

We construct a tractable model to describe the rate at which a knotted polymer is ejected from a spherical capsid via a small pore. Knots are too large to fit through the pore and must reptate to the end of the polymer for ejection to occur. The reptation of knots is described by symmetric exclusion on the line, with the internal capsid pressure represented by an additional biased particle that drives knots to the end of the chain. We compute the exact ejection speed for a finite number of knots L and find that it scales as 1/L. We also construct a continuum theory for many knots that matches the exact discrete theory for large L.

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