Fulltext

Dynamic formation of oriented patches in chondrocyte cell cultures

Grote, Marcus ; Palumberi, Viviana ; Wagner, Barbara ; Barbero, Andrea ; Martin, Ivan

In: Journal of Mathematical Biology, 2011, vol. 63, no. 4, p. 757-777

Ajouter à la liste personnelle
    Titre
    • Dynamic formation of oriented patches in chondrocyte cell cultures
    Auteur
    • Grote, Marcus. Institute of Mathematics, Rheinsprung 21, 4051, Basel, Switzerland
    • Palumberi, Viviana. Institute of Mathematics, Rheinsprung 21, 4051, Basel, Switzerland
    • Wagner, Barbara. Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, 10117, Berlin, Germany
    • Barbero, Andrea. Department of Biomedicine, University Hospital, Hebelstrase 20, 4031, Basel, Switzerland
    • Martin, Ivan. Department of Biomedicine, University Hospital, Hebelstrase 20, 4031, Basel, Switzerland
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • Journal of Mathematical Biology, 2011, vol. 63, no. 4, p. 757-777. Springer-Verlag
    Autre version électronique
    Identifiant OAI-PMH
    • oai:doc.rero.ch:317824
    Summary
    Growth factors have a significant impact not only on the growth dynamics but also on the phenotype of chondrocytes (Barbero etal. in J. Cell. Phys. 204:830-838, 2005). In particular, as chondrocytes approach confluence, the cells tend to align and form coherent patches. Starting from a mathematical model for fibroblast populations at equilibrium (Mogilner etal. in Physica D 89:346-367, 1996), a dynamic continuum model with logistic growth is developed. Both linear stability analysis and numerical solutions of the time-dependent nonlinear integro-partial differential equation are used to identify the key parameters that lead to pattern formation in the model. The numerical results are compared quantitatively to experimental data by extracting statistical information on orientation, density and patch size through Gabor filters