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Multiscale Modeling and Analysis of Planar Cell Polarity in the Drosophila Wing
March-April 2013 (vol. 10 no. 2)
pp. 337-351
Qian Gao, Brunel University, Uxbridge
David Gilbert, Brunel University, Uxbridge
Monika Heiner, Brandenburg University of Technology Cottbus, Cottbus
Fei Liu, Brandenburg University of Technology Cottbus, Cottbus
Daniele Maccagnola, Universita degli Studi di Milano-Bicocca, Milan
David Tree, Brunel University, Uxbridge
Modeling across multiple scales is a current challenge in Systems Biology, especially when applied to multicellular organisms. In this paper, we present an approach to model at different spatial scales, using the new concept of Hierarchically Colored Petri Nets (HCPN). We apply HCPN to model a tissue comprising multiple cells hexagonally packed in a honeycomb formation in order to describe the phenomenon of Planar Cell Polarity (PCP) signaling in Drosophila wing. We have constructed a family of related models, permitting different hypotheses to be explored regarding the mechanisms underlying PCP. In addition our models include the effect of well-studied genetic mutations. We have applied a set of analytical techniques including clustering and model checking over time series of primary and secondary data. Our models support the interpretation of biological observations reported in the literature.
Index Terms:
Biological system modeling,Color,Petri nets,Proteins,Mathematical model,Image color analysis,Analytical models,model checking,Biological system modeling,Color,Petri nets,Proteins,Mathematical model,Image color analysis,Analytical models,planar cell polarity,Hierarchically colored Petri nets,continuous Petri nets,ordinary differential equations,multiscale modeling,continuous simulation,cluster analysis
Citation:
Qian Gao, David Gilbert, Monika Heiner, Fei Liu, Daniele Maccagnola, David Tree, "Multiscale Modeling and Analysis of Planar Cell Polarity in the Drosophila Wing," IEEE/ACM Transactions on Computational Biology and Bioinformatics, vol. 10, no. 2, pp. 337-351, March-April 2013, doi:10.1109/TCBB.2012.101
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