Format

Send to

Choose Destination
J Phys Condens Matter. 2011 Sep 21;23(37):374102. doi: 10.1088/0953-8984/23/37/374102. Epub 2011 Aug 23.

The emergence of sarcomeric, graded-polarity and spindle-like patterns in bundles of short cytoskeletal polymers and two opposite molecular motors.

Author information

1
Department of Neurobiology, Physiology and Behavior, University of California, Davis, CA 95616, USA. ecraig@ucdavis.edu

Abstract

We use linear stability analysis and numerical solutions of partial differential equations to investigate pattern formation in the one-dimensional system of short dynamic polymers and one (plus-end directed) or two (one is plus-end, another minus-end directed) molecular motors. If polymer sliding and motor gliding rates are slow and/or the polymer turnover rate is fast, then the polymer-motor bundle has mixed polarity and homogeneous motor distribution. However, if motor gliding is fast, a sarcomeric pattern with periodic bands of alternating polymer polarity separated by motor aggregates evolves. On the other hand, if polymer sliding is fast, a graded-polarity bundle with motors at the center emerges. In the presence of the second, minus-end directed motor, the sarcomeric pattern is more ubiquitous, while the graded-polarity pattern is destabilized. However, if the minus-end motor is weaker than the plus-end directed one, and/or polymer nucleation is autocatalytic, and/or long polymers are present in the bundle, then a spindle-like architecture with a sorted-out polarity emerges with the plus-end motors at the center and minus-end motors at the edges. We discuss modeling implications for actin-myosin fibers and in vitro and meiotic spindles.

PMID:
21862843
PMCID:
PMC3168571
DOI:
10.1088/0953-8984/23/37/374102
[Indexed for MEDLINE]
Free PMC Article

Supplemental Content

Full text links

Icon for IOP Publishing Ltd. Icon for PubMed Central
Loading ...
Support Center