Stability, Convergence, and Sensitivity Analysis of the FBLM and the Corresponding FEM

Publication type:
Journal article
Metadata:
Autoren
  • N Sfakianakis
  • A Brunk
Autoren-URL
https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=fis-test-1&SrcAuth=WosAPI&KeyUT=WOS:000446527200001&DestLinkType=FullRecord&DestApp=WOS_CPL
DOI
10.1007/s11538-018-0460-0
eISSN
1522-9602
Externe Identifier
  • Clarivate Analytics Document Solution ID: GW0BN
  • PubMed Identifier: 30159856
ISSN
0092-8240
Ausgabe der Veröffentlichung
11
Zeitschrift
BULLETIN OF MATHEMATICAL BIOLOGY
Schlüsselwörter
  • Lamellipodium
  • Actin filaments
  • Cell motility
  • Convergence
  • Stability
  • Sensitivity analysis
Paginierung
2789 - 2827
Datum der Veröffentlichung
2018
Status
Published
Titel
Stability, Convergence, and Sensitivity Analysis of the FBLM and the Corresponding FEM
Sub types
  • Article
Ausgabe der Zeitschrift
80

Data source: Web of Science (Lite)

Other metadata sources:
Autoren
  • N Sfakianakis
  • A Brunk
DOI
10.1007/s11538-018-0460-0
eISSN
1522-9602
ISSN
0092-8240
Ausgabe der Veröffentlichung
11
Zeitschrift
Bulletin of Mathematical Biology
Sprache
en
Online publication date
2018
Paginierung
2789 - 2827
Datum der Veröffentlichung
2018
Status
Published
Herausgeber
Springer Science and Business Media LLC
Herausgeber URL
http://dx.doi.org/10.1007/s11538-018-0460-0
Datum der Datenerfassung
2022
Titel
Stability, Convergence, and Sensitivity Analysis of the FBLM and the Corresponding FEM
Ausgabe der Zeitschrift
80

Data source: Crossref

Abstract
We study in this paper the filament-based lamellipodium model (FBLM) and the corresponding finite element method (FEM) used to solve it. We investigate fundamental numerical properties of the FEM and justify its further use with the FBLM. We show that the FEM satisfies a time step stability condition that is consistent with the nature of the problem and propose a particular strategy to automatically adapt the time step of the method. We show that the FEM converges with respect to the (two-dimensional) space discretization in a series of characteristic and representative chemotaxis and haptotaxis experiments. We embed and couple the FBLM with a complex and adaptive extracellular environment comprised of chemical and adhesion components that are described by their macroscopic density and study their combined time evolution. With this combination, we study the sensitivity of the FBLM on several of its controlling parameters and discuss their influence in the dynamics of the model and its future evolution. We finally perform a number of numerical experiments that reproduce biological cases and compare the results with the ones reported in the literature.
Addresses
  • Institute of Applied Mathematics, Heidelberg University, Im Neuenheimer Feld 205, 69120, Heidelberg, Germany. sfakiana@math.uni-heidelberg.de.
Autoren
  • N Sfakianakis
  • A Brunk
DOI
10.1007/s11538-018-0460-0
eISSN
1522-9602
Externe Identifier
  • PubMed Identifier: 30159856
Open access
false
ISSN
0092-8240
Ausgabe der Veröffentlichung
11
Zeitschrift
Bulletin of mathematical biology
Schlüsselwörter
  • Pseudopodia
  • Extracellular Space
  • Animals
  • Humans
  • Myosins
  • Cell Adhesion
  • Cell Movement
  • Chemotaxis
  • Finite Element Analysis
  • Models, Biological
  • Computer Simulation
  • Mathematical Concepts
  • Polymerization
  • Actin Cytoskeleton
Sprache
eng
Medium
Print-Electronic
Online publication date
2018
Paginierung
2789 - 2827
Datum der Veröffentlichung
2018
Status
Published
Datum der Datenerfassung
2018
Titel
Stability, Convergence, and Sensitivity Analysis of the FBLM and the Corresponding FEM.
Sub types
  • Research Support, Non-U.S. Gov't
  • Journal Article
Ausgabe der Zeitschrift
80

Data source: Europe PubMed Central

Abstract
We study in this paper the filament-based lamellipodium model (FBLM) and the corresponding finite element method (FEM) used to solve it. We investigate fundamental numerical properties of the FEM and justify its further use with the FBLM. We show that the FEM satisfies a time step stability condition that is consistent with the nature of the problem and propose a particular strategy to automatically adapt the time step of the method. We show that the FEM converges with respect to the (two-dimensional) space discretization in a series of characteristic and representative chemotaxis and haptotaxis experiments. We embed and couple the FBLM with a complex and adaptive extracellular environment comprised of chemical and adhesion components that are described by their macroscopic density and study their combined time evolution. With this combination, we study the sensitivity of the FBLM on several of its controlling parameters and discuss their influence in the dynamics of the model and its future evolution. We finally perform a number of numerical experiments that reproduce biological cases and compare the results with the ones reported in the literature.
Date of acceptance
2018
Autoren
  • N Sfakianakis
  • A Brunk
Autoren-URL
https://www.ncbi.nlm.nih.gov/pubmed/30159856
DOI
10.1007/s11538-018-0460-0
eISSN
1522-9602
Ausgabe der Veröffentlichung
11
Zeitschrift
Bull Math Biol
Schlüsselwörter
  • Actin filaments
  • Cell motility
  • Convergence
  • Lamellipodium
  • Sensitivity analysis
  • Stability
  • Actin Cytoskeleton
  • Animals
  • Cell Adhesion
  • Cell Movement
  • Chemotaxis
  • Computer Simulation
  • Extracellular Space
  • Finite Element Analysis
  • Humans
  • Mathematical Concepts
  • Models, Biological
  • Myosins
  • Polymerization
  • Pseudopodia
Sprache
eng
Country
United States
Paginierung
2789 - 2827
PII
10.1007/s11538-018-0460-0
Datum der Veröffentlichung
2018
Status
Published
Datum, an dem der Datensatz öffentlich gemacht wurde
2019
Titel
Stability, Convergence, and Sensitivity Analysis of the FBLM and the Corresponding FEM.
Sub types
  • Journal Article
  • Research Support, Non-U.S. Gov't
Ausgabe der Zeitschrift
80

Data source: PubMed

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