230 citations · 1.9k across the 63 of their papers we have counts for
4 papers · 1 filter
Initial/boundary-value problems of tumor growth within a host tissue
Andrea Tosin
This paper concerns multiphase models of tumor growth in interaction with a surrounding tissue, taking into account also the interplay with diffusible nutrients feeding the cells.…
Multiphase modeling of tumor growth with matrix remodeling and fibrosis
Andrea Tosin, Luigi Preziosi
We present a multiphase mathematical model for tumor growth which incorporates the remodeling of the extracellular matrix and describes the formation of fibrotic tissue by tumor ce…
Multiphase modeling and qualitative analysis of the growth of tumor cords
Andrea Tosin
In this paper a macroscopic model of tumor cord growth is developed, relying on the mathematical theory of deformable porous media. Tumor is modeled as a saturated mixture of proli…
Modeling self-organization in pedestrians and animal groups from macroscopic and microscopic viewpoints
Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
This paper is concerned with mathematical modeling of intelligent systems, such as human crowds and animal groups. In particular, the focus is on the emergence of different self-or…