Simple Growth Models of Rigid Multifilament Biopolymers

Details Simple Growth Models of Rigid Multifilament Biopolymers Simple Growth Models of Rigid Multifilament Biopolymers

2004-02-08

arxiv.org/abs/cond-mat/0402220v1

Physics

Condensed Matter

Statistical Mechanics

18 pages, 6 figures, submitted to J. Chem. Phys

Scientific paper

10.1063/1.1759316

The growth dynamics of rigid biopolymers, consisting of $N$ parallel protofilaments, is investigated theoretically using simple approximate models. In our approach, the structure of a polymer's growing end and lateral interactions between protofilaments are explicitly taken into account, and it is argued that only few conformations are important for biopolymer's growth. As a result, exact analytic expressions for growth velocity and dispersion are obtained for {\it any} number of protofilaments and arbitrary geometry of the growing end of the biopolymer. Our theoretical predictions are compared with a full description of biopolymer growth dynamics for the simplest N=2 model. It is found that the results from the approximate theory are approaching the exact ones for large lateral interactions between the protofilaments. Our theory is also applied to analyze the experimental data on the growth of microtubules.

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