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Uperieure s ormale n ecole.
| Content Provider | CiteSeerX |
|---|---|
| Author | Mathmatiques, Dpartement De Benoît, Perthame Filbet, Francis Cole, E. Perthame, Benoît |
| Abstract | A Chapman-Enskog expansion is used to derive hyperbolic models for chemosensitive movements as a hydrodynamic limit of a velocityjump process. On the one hand, it connects parabolic and hyperbolic chemotaxis models since the former arise as di#usion limits of a similar velocity-jump process. On the other hand, this approach provides a unified framework which includes previous models obtained by ad hoc methods or methods of moments. Numerical simulations are also performed and are motivated by recent experiments with human endothelial cells on matrigel. Their movements lead to the formation of networks that are interpreted as the beginning of a vasculature. These structures cannot be explained by parabolic models but are recovered by numerical experiments on hyperbolic models. |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Chapman-enskog Expansion Hydrodynamic Limit Human Endothelial Cell Velocityjump Process Recent Experiment Numerical Experiment Previous Model Ad Hoc Method Hyperbolic Chemotaxis Model Numerical Simulation Similar Velocity-jump Process Former Arise Di Usion Limit Hyperbolic Model Parabolic Model Chemosensitive Movement Uperieure Ormale Ecole Unified Framework |
| Content Type | Text |
