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Mathematical Biosciences and Engineering

2009, Volume 6, Issue 1: 117-134. doi: 10.3934/mbe.2009.6.117
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An in vivo intermediate filament assembly model

  • 1.
    Department of Mathematics, University of Manitoba, Winnipeg, MB
  • Received: 01 December 2007 Accepted: 29 June 2018 Published: 01 December 2008

  • MSC : Primary: 92C37

  • 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.

    Citation: Stéphanie Portet, Julien Arino. An in vivo intermediate filament assembly model[J]. Mathematical Biosciences and Engineering, 2009, 6(1): 117-134. doi: 10.3934/mbe.2009.6.117

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  • 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.


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    2. Chengjun Sun, Julien Arino, Stéphanie Portet, Intermediate filament dynamics: Disassembly regulation, 2017, 10, 1793-5245, 1750015, 10.1142/S1793524517500152
    3. Qi Wen, Paul A. Janmey, Polymer physics of the cytoskeleton, 2011, 15, 13590286, 177, 10.1016/j.cossms.2011.05.002
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  • © 2009 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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