caa a22 4500 445330058 CHVBK 20180317142734.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s00285-010-0390-4 doi (NATIONALLICENCE)springer-10.1007/s00285-010-0390-4 Dynamic formation of oriented patches in chondrocyte cell cultures [Elektronische Daten] [Marcus Grote, Viviana Palumberi, Barbara Wagner, Andrea Barbero, Ivan Martin] 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. Springer-Verlag, 2010 Cell alignment nationallicence Pattern formation nationallicence Stability nationallicence Integro-partial differential equations nationallicence Image processing nationallicence Grote Marcus Institute of Mathematics, Rheinsprung 21, 4051, Basel, Switzerland aut Palumberi Viviana Institute of Mathematics, Rheinsprung 21, 4051, Basel, Switzerland aut Wagner Barbara Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, 10117, Berlin, Germany aut Barbero Andrea Department of Biomedicine, University Hospital, Hebelstrase 20, 4031, Basel, Switzerland aut Martin Ivan Department of Biomedicine, University Hospital, Hebelstrase 20, 4031, Basel, Switzerland aut Journal of Mathematical Biology Springer-Verlag 63/4(2011-10-01), 757-777 0303-6812 63:4<757 2011 63 285 https://doi.org/10.1007/s00285-010-0390-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00285-010-0390-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Grote Marcus Institute of Mathematics, Rheinsprung 21, 4051, Basel, Switzerland aut NATIONALLICENCE 700 1- Palumberi Viviana Institute of Mathematics, Rheinsprung 21, 4051, Basel, Switzerland aut NATIONALLICENCE 700 1- Wagner Barbara Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, 10117, Berlin, Germany aut NATIONALLICENCE 700 1- Barbero Andrea Department of Biomedicine, University Hospital, Hebelstrase 20, 4031, Basel, Switzerland aut NATIONALLICENCE 700 1- Martin Ivan Department of Biomedicine, University Hospital, Hebelstrase 20, 4031, Basel, Switzerland aut NATIONALLICENCE 773 0- Journal of Mathematical Biology Springer-Verlag 63/4(2011-10-01), 757-777 0303-6812 63:4<757 2011 63 285 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer