Publikation:

Stable Length Distributions in Colocalized Polymerizing and Depolymerizing Protein Filaments

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2012

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Schmeiser, Christian
Sfakianakis, Nikolaos

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http://nbn-resolving.de/urn:nbn:de:bsz:352-232473
DOI (zitierfähiger Link)
https://doi.org/10.1137/100815773
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Mathematik und Statistik: Publikationen
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SIAM Journal on Applied Mathematics. 2012, 72(5), pp. 1428-1448. ISSN 0036-1399. eISSN 1095-712X. Available under: doi: 10.1137/100815773

Zusammenfassung

A model for the dynamics of the length distribution in colocalized groups of polar polymer filaments is presented. It considers nucleation, polymerization at plus-ends, and depolymerization at minus-ends and is derived as a continuous macroscopic limit from a discrete description. Its main feature is a nonlinear coupling due to competition of the depolymerizing ends for the limited supply of a depolymerization agent. The model takes the form of an initial-boundary value problem for a one-dimensional nonlinear hyperbolic conservation law, subject to a nonlinear, nonlocal boundary condition. Besides existence and uniqueness of entropy solutions, convergence to a steady state is proven. Technical difficulties are caused by the fact that the prescribed boundary data are not always assumed by entropy solutions.

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Fachgebiet (DDC)
510 Mathematik

Schlagwörter

actin filaments, hyperbolic conservation law, nonlocal boundary condition

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ISO 690FREISTÜHLER, Heinrich, Christian SCHMEISER, Nikolaos SFAKIANAKIS, 2012. Stable Length Distributions in Colocalized Polymerizing and Depolymerizing Protein Filaments. In: SIAM Journal on Applied Mathematics. 2012, 72(5), pp. 1428-1448. ISSN 0036-1399. eISSN 1095-712X. Available under: doi: 10.1137/100815773
BibTex
@article{Freistuhler2012Stabl-23247,
  year={2012},
  doi={10.1137/100815773},
  title={Stable Length Distributions in Colocalized Polymerizing and Depolymerizing Protein Filaments},
  number={5},
  volume={72},
  issn={0036-1399},
  journal={SIAM Journal on Applied Mathematics},
  pages={1428--1448},
  author={Freistühler, Heinrich and Schmeiser, Christian and Sfakianakis, Nikolaos}
}
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