American Institute of Mathematical Sciences

Advanced
2009, 6(1): 117-134. doi: 10.3934/mbe.2009.6.117

An in vivo intermediate filament assembly model

Stéphanie Portet 1, and  Julien Arino 1,

1. 

Department of Mathematics, University of Manitoba, Winnipeg, MB, Canada, Canada

Received  December 2007 Revised  September 2008 Published  December 2008

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 equilibrium. 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 organization. A high signalling-dependent solubilization of filaments favours the intermediate filament aggregation in particles.
Keywords: cytoskeleton assembly dynamics, intermediate filaments.
Mathematics Subject Classification: Primary: 92C37.
Citation: Stéphanie Portet, Julien Arino. An in vivo intermediate filament assembly model. Mathematical Biosciences & Engineering, 2009, 6 (1) : 117-134. doi: 10.3934/mbe.2009.6.117
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