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Density fields for branching, stiff networks in rigid confining regions

  • Somiéalo AzoteEmail author
  • Kristian K. Müller-Nedebock
Regular Article

Abstract.

We develop a formalism to describe the equilibrium distributions for segments of confined branched networks consisting of stiff filaments. This is applicable to certain situations of cytoskeleton in cells, such as for example actin filaments with branching due to the Arp2/3 complex. We develop a grand ensemble formalism that enables the computation of segment density and polarisation profiles within the confines of the cell. This is expressed in terms of the solution to nonlinear integral equations for auxiliary functions. We find three specific classes of behaviour depending on filament length, degree of branching and the ratio of persistence length to the dimensions of the geometry. Our method allows a numerical approach for semi-flexible filaments that are networked.

Graphical abstract

Keywords

Soft Matter: Self-organisation and Supramolecular Assemblies 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Somiéalo Azote
    • 1
    Email author
  • Kristian K. Müller-Nedebock
    • 1
    • 2
  1. 1.Institute of Theoretical Physics, Department of PhysicsStellenbosch UniversityStellenboschSouth Africa
  2. 2.National Institute for Theoretical PhysicsStellenboschSouth Africa

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