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Dynamic Formation of Oriented Patches in Chondrocyte Cell Cultures

Barbero, Andrea and Grote, Marcus and Martin, Ivan and Palumberi, Viviana and Wagner, Barbara. (2010) Dynamic Formation of Oriented Patches in Chondrocyte Cell Cultures. Preprints Fachbereich Mathematik, 2010 (03).

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Abstract

Growth factors have a significant impact not only on the growth dynamics but also on the phenotype of chondrocytes (Barbero et al. , J. Cell. Phys. 204, pp. 830-838, 2005). In particular, as chondrocyte populations approach confluence, the cells tend to align and form coherent patches. Starting from a mathematical model for fibroblast populations at equilibrium (Mogilner et al., Physica D 89, pp. 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.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Numerik (Grote)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Grote, Marcus J. and Palumberi, Viviana
Item Type:Preprint
Publisher:Universität Basel
Language:English
Last Modified:13 May 2019 19:41
Deposited On:28 Mar 2019 09:52

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