Publikation:

On the length distribution in bundles of polymerizing and depolymerizing actin filaments

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FrSchSf.pdf
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Datum

2010

Autor:innen

Schmeiser, Christian
Sfakianakis, Nikolaos

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http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-126036
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Attribution-NonCommercial-NoDerivs 2.0 Generic

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Open Access Green

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Mathematik und Statistik: Publikationen
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Preprint
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Zusammenfassung

A model for the dynamics of the length distribution in polymer bundles is presented. It considers nucleation, polymerization, and depolymerization 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 he fact that the prescribed boundary data are not always assumed by entropy solutions.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Mathematische Biologie, Bewegung von Zellen, Mathematical Biology

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ISO 690FREISTÜHLER, Heinrich, Christian SCHMEISER, Nikolaos SFAKIANAKIS, 2010. On the length distribution in bundles of polymerizing and depolymerizing actin filaments
BibTex
@unpublished{Freistuhler2010lengt-697,
  year={2010},
  title={On the length distribution in bundles of polymerizing and depolymerizing actin filaments},
  author={Freistühler, Heinrich and Schmeiser, Christian and Sfakianakis, Nikolaos}
}
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