Numerical treatment of the Filament-Based Lamellipodium Model (FBLM)

Manhart, Angelika , Oelz, Dietmar , Schmeiser, Christian and Sfakianakis, Nikolaos (2017). Numerical treatment of the Filament-Based Lamellipodium Model (FBLM). In Frederik Graw, Franziska Matthäus and Jürgen Pahle (Ed.), Modeling cellular systems (pp. 141-159) Cham, Switzerland: Springer. doi:10.1007/978-3-319-45833-5_7


Author Manhart, Angelika
Oelz, Dietmar
Schmeiser, Christian
Sfakianakis, Nikolaos
Title of chapter Numerical treatment of the Filament-Based Lamellipodium Model (FBLM)
Title of book Modeling cellular systems
Place of Publication Cham, Switzerland
Publisher Springer
Publication Year 2017
Sub-type Research book chapter (original research)
DOI 10.1007/978-3-319-45833-5_7
Open Access Status Not yet assessed
Series Contributions in Mathematical and Computational Sciences
ISBN 9783319458311
9783319458335
ISSN 2191-303X
2191-3048
Editor Frederik Graw
Franziska Matthäus
Jürgen Pahle
Volume number 11
Chapter number 7
Start page 141
End page 159
Total pages 19
Total chapters 7
Collection year 2018
Language eng
Abstract/Summary We describe in this work the numerical treatment of the Filament-Based Lamellipodium Model (FBLM). This model is a two-phase two-dimensional continuum model, describing the dynamics of two interacting families of locally parallel F actin filaments. It includes, among others, the bending stiffness of the filaments, adhesion to the substrate, and the cross-links connecting the two families. The numerical method proposed is a Finite Element Method (FEM) developed specifically for the needs of this problem. It is comprised of composite Lagrange–Hermite twodimensional elements defined over a two-dimensional space. We present some elements of the FEM and emphasize in the numerical treatment of the more complex terms. We also present novel numerical simulations and compare to in-vitro experiments of moving cells.
Q-Index Code B1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Book Chapter
Collections: School of Mathematics and Physics
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Created: Wed, 19 Jul 2017, 17:21:10 EST by Dietmar Oelz on behalf of Mathematics