Essays about: "Filippo Di Tillio"

Found 1 essay containing the words Filippo Di Tillio.

1. 1. Homogenization of an elliptic transmission system modeling the flux of oxygen from blood vessels to tissues

   University essay from

   Author : Filippo Di Tillio; [2021]
   Keywords : ;

   Abstract : Motivated by the study of the hypoxia problem in cancerous tissues, we propose a system of coupled partial differential equations defined on a heterogeneous, periodically perforated  domain describing the flux of oxygen from blood vessels towards the tissue and the corresponding oxygen diffusion within the tissue. Using heuristics based on dimensional analysis, we rephrase the initially parabolic problem as a semi-linear elliptic transmission problem. READ MORE