We propose a novel approach to modeling cell migration in an anisotropic environment with biochemical heterogeneity and interspecies interactions, using as a paradigm glioma invasion in brain tissue under the influence of hypoxia-triggered angiogenesis. The multiscale procedure links single-cell and mesoscopic dynamics with population level behavior, leading on the macroscopic scale to flux-limited glioma diffusion and multiple taxis. We verify the non-negativity of regular solutions (provided they exist) to the obtained macroscopic PDE-ODE system and perform numerical simulations to illustrate the solution behavior under several scenarios.

Résumé L’article analyse les transformations du management intermédiaire et souligne l’intérêt des notions de position et de proximité pour appréhender ses figures et rendre compte à la fois de leur unité, de leur diversité et de leur champ d’action possible. Il montre ensuite comment la GRH s’approprie ces figures pour se mettre en scène au sein d’un système de management dont elle vise à renforcer la cohérence.

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As the lifespan of our dialysis patient population continues to improve, we will see an increasing need to perform complicated access procedures to maintain HD support. These three cases emphasize the value of the transmediastinal technique using basic C-arm fluoroscopy and a limited stock of basic catheters and guidewires.

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We propose a novel approach to modeling cell migration in an anisotropic environment with biochemical heterogeneity and interspecies interactions, using as a paradigm glioma invasion in brain tissue under the influence of hypoxia-triggered angiogenesis. The multiscale procedure links single-cell and mesoscopic dynamics with population level behavior, leading on the macroscopic scale to flux-limited glioma diffusion and multiple taxis. We verify the nonnegativity of regular solutions (provided they exist) to the obtained macroscopic PDE-ODE system and perform numerical simulations to illustrate the solution behavior under several scenarios.

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