Homogenized flow in malignant microvessels
Blood circulation in capillaries occurs in a complex hierarchical network of capillaries. At this spatial scale the vessels deliver nutrients to the living tissues; tumor vessels characterized by a tortuous geometry, leaky walls and small transmural pressure gap are particularly ineffective in delivering drug to the malignant cells.
Numerical simulations at a single capillary level are difficult to carry out at a large scale. Homogenization techniques allow to extract from the geometrical characteristics of the capillary network the effective hydraulic properties that drive the blood flow and oxygen/drug exchanges in the tissue at an average level.
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