PMID- 21599199 OWN - NLM STAT- MEDLINE DCOM- 20110930 LR - 20110523 IS - 1550-2376 (Electronic) IS - 1539-3755 (Linking) VI - 83 IP - 4 Pt 1 DP - 2011 Apr TI - Mean-field study of the role of lateral cracks in microtubule dynamics. PG - 041905 AB - A link between dimer-scale processes and microtubule (MT) dynamics at macroscale is studied by comparing simulations obtained using computational dimer-scale model with its mean-field approximation. The novelty of the mean-field model (MFM) is in its explicit representation of inter-protofilament cracks, as well as in the direct incorporation of the dimer-level kinetics. Due to inclusion of both longitudinal and lateral dimer interactions, the MFM is two dimensional, in contrast to previous theoretical models of MTs. It is the first analytical model that predicts and quantifies crucial features of MT dynamics such as (i) existence of a minimal soluble tubulin concentration needed for the polymerization (with concentration represented as a function of model parameters), (ii) existence of steady-state growth and shortening phases (given with their respective velocities), and (iii) existence of an unstable pause state near zero velocity. In addition, the size of the GTP cap of a growing MT is estimated. Theoretical predictions are shown to be in good agreement with the numerical simulations. CI - (c)2011 American Physical Society FAU - Margolin, Gennady AU - Margolin G AD - Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, Indiana 46556, USA. FAU - Goodson, Holly V AU - Goodson HV FAU - Alber, Mark S AU - Alber MS LA - eng GR - GM065420/GM/NIGMS NIH HHS/United States PT - Journal Article PT - Research Support, N.I.H., Extramural PT - Research Support, U.S. Gov't, Non-P.H.S. DEP - 20110408 PL - United States TA - Phys Rev E Stat Nonlin Soft Matter Phys JT - Physical review. E, Statistical, nonlinear, and soft matter physics JID - 101136452 SB - IM MH - Computer Simulation MH - Hardness MH - Microtubules/*chemistry/*ultrastructure MH - *Models, Chemical MH - *Models, Molecular MH - Stress, Mechanical MH - Surface Properties EDAT- 2011/05/24 06:00 MHDA- 2011/10/01 06:00 CRDT- 2011/05/24 06:00 PHST- 2010/11/06 00:00 [received] PHST- 2011/01/22 00:00 [revised] PHST- 2011/05/24 06:00 [entrez] PHST- 2011/05/24 06:00 [pubmed] PHST- 2011/10/01 06:00 [medline] AID - 10.1103/PhysRevE.83.041905 [doi] PST - ppublish SO - Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Apr;83(4 Pt 1):041905. doi: 10.1103/PhysRevE.83.041905. Epub 2011 Apr 8.