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Stable Length Distributions in Colocalized Polymerizing and Depolymerizing Protein Filaments

Stable Length Distributions in Colocalized Polymerizing and Depolymerizing Protein Filaments

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FREISTÜHLER, Heinrich, Christian SCHMEISER, Nikolaos SFAKIANAKIS, 2012. Stable Length Distributions in Colocalized Polymerizing and Depolymerizing Protein Filaments. In: SIAM Journal on Applied Mathematics. 72(5), pp. 1428-1448. ISSN 0036-1399. eISSN 1095-712X

@article{Freistuhler2012Stabl-23247, title={Stable Length Distributions in Colocalized Polymerizing and Depolymerizing Protein Filaments}, year={2012}, doi={10.1137/100815773}, 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} }

<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/23247"> <dcterms:title>Stable Length Distributions in Colocalized Polymerizing and Depolymerizing Protein Filaments</dcterms:title> <dc:language>eng</dc:language> <dc:rights>deposit-license</dc:rights> <dc:contributor>Sfakianakis, Nikolaos</dc:contributor> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2013-05-15T10:02:12Z</dc:date> <dc:creator>Sfakianakis, Nikolaos</dc:creator> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2013-05-15T10:02:12Z</dcterms:available> <dcterms:abstract xml:lang="eng">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.</dcterms:abstract> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/23247"/> <dc:contributor>Schmeiser, Christian</dc:contributor> <dcterms:rights rdf:resource="http://nbn-resolving.org/urn:nbn:de:bsz:352-20140905103605204-4002607-1"/> <dcterms:issued>2012</dcterms:issued> <dc:creator>Freistühler, Heinrich</dc:creator> <dcterms:bibliographicCitation>SIAM Journal on Applied Mathematics ; 72 (2012), 5. - S. 1428-1448</dcterms:bibliographicCitation> <dc:creator>Schmeiser, Christian</dc:creator> <dc:contributor>Freistühler, Heinrich</dc:contributor> </rdf:Description> </rdf:RDF>

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