Transport of species in a fibrous media during tissue growth
Communication avec acte
Author
LETELLIER, SamuelLASSEUX, Didier 
AHMADI-SENICHAULT, AzitaAbstract
Tissue engineering is of major importance in biomedical transplantation techniques. However, some questions subsist as for example the mass transport between each pahse (cell, fluide and solid). In a previous paper, a one-equation model was developed in order to model mass transport during in vitro tissue growth using the volume averaging method. Using a dimensionless form of the model and a convenient formulation of the effective dispersion tensor, a numerical resolution of the closure problem is proposed. Some results allowing to validate the numerical tool are presented. This validation is carried out using results available in the literature for 2-D unit cells and under-classes of our model (namely diffusion, diffusion/reaction and diffusion/advection problems). Finally, we provide some results for the complete model taking into account diffusion, reaction and advection in the three phase system.
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