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MATHEMATICAL BIOSCIENCES doi:10.3934/mbe.2009.6.117 AND ENGINEERING
 

Summary: MATHEMATICAL BIOSCIENCES doi:10.3934/mbe.2009.6.117
AND ENGINEERING
Volume 6, Number 1, January 2009 pp. 117­134
AN IN VIVO INTERMEDIATE FILAMENT ASSEMBLY MODEL
St´ephanie Portet and Julien Arino
Department of Mathematics
University of Manitoba, Winnipeg, MB, Canada
(Communicated by James Glazier)
Abstract. A model is developed to study the in vivo intermediate filament
organization in terms of repartition between four different structural states:
soluble proteins, particles, short, and long filaments. An analysis is conducted,
showing that the system has a unique, globally asymptotically stable equilib-
rium. By means of sensitivity analysis, the influence of parameters on the
system is studied. It is shown that, in agreement with biological observations,
posttranslational modifications of intermediate filament proteins resulting in
filament solubilization are the main regulators of the intermediate filament or-
ganization. A high signalling-dependent solubilization of filaments favours the
intermediate filament aggregation in particles.
1. Introduction. The cytoskeleton is a complex arrangement of structural pro-
teins organized in three different networks: microfilaments, intermediate filaments,

  

Source: Arino, Julien - Department of Mathematics, University of Manitoba

 

Collections: Mathematics