Modeling the perfusion characteristics of liver tissue may provide information useful in surgical treatment which require resection of the pathological tissue regions or for drug delivery. At the macro-scale the whole organ may be modeled as a porous medium with nonuniform, non isotropic permeability. At an intermediate scale, the tissue […]
Daily Archives: January 18, 2022
4 posts
Many types of cell have the ability to migrate orchestrating in a complex way the poli/depolimerization of the actin network and actively generating a pattern of forces in the surrounding environment. Mathematics can be of support to understand such a complex phenomenon in two ways. Force traction microscopy is the determination of the stress […]
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 […]
The study of cooperative migration and the onset of patterns in developing living organisms is an extremely multidisciplinary field of research, that combines biological information with the mathematical theories of nonlinear dynamics and the physics and mechanics of non-equilibrium processes. Cooperative migration and self-organization in living aggregates is known to […]