Upscaling of fluid flow in spatially heterogeneous bone tumors

Adel Moreno (1) , Michel Quintard (1) , Anthony Mancini (1) , Anne Gomez-Brouchet (2) , Pascal Swider (1) , Pauline Assemat (1)

1 IMFT - Institut de mécanique des fluides de Toulouse
2 IUCT Oncopole - UMR 1037 - Institut Universitaire du Cancer de Toulouse - Oncopole

Osteosarcoma is a malignant bone tumor that preferentially arises in adolescents and young adults. Like many sarcomas with complex genomics, this type of tumors exhibits strong spatial heterogeneities in terms of micro-architecture or differentiated response to treatments due to localized effect of chemotherapy. Clinical images at a tissue scale such as histological and immunohistological sections, exhibit three phases: fluid, solid, cells populations. Therefore the tumor can be considered as a porous medium. The objective of this work was to develop a mechanical approach based on upscaling methods to study the interstitial flow within the tumor at the tissue scale. The statistical study of the micro-architecture of the media shows that the identification of characteristic lengths is complex and that a separation of spatial scales is not necessarily identified. We therefore chose a special sequential upscaling technique, named Grid-Block approach to solve this problem.

Mots clés: Osteosarcoma; Porous media; Homogenization; Grid-Block technique

Domaines: Mécanique des fluides [physics.class-ph]

Adel Moreno, Michel Quintard, Anthony Mancini, Anne Gomez-Brouchet, Pascal Swider, et al.. Upscaling of fluid flow in spatially heterogeneous bone tumors. VPH 2020 Conference, Aug 2020, Paris, France. pp.0. ⟨hal-03113650⟩