A new MOX Report entitled “Hybrid dimensional models for blood flow and mass transport” by Formaggia, L.; Zunino, P. has appeared in the MOX Report Collection.
Check it out here: https://www.mate.polimi.it/biblioteca/add/qmox/101-2023.pdf
Abstract: Mathematical models accounting of several space scales have proved to be very effective tools in the description and simulation of the cardiovascular system. In this chapter, we review the family of models that are based on partial differential equations defined on domains with hybrid dimension. Referring to the vascular applications, the most prominent example consists of coupling three-dimensional (3D) with one-dimensional (1D) mathematical models for blood flow and mass transport. On the basis of their coupling conditions these models can be subdivided into two main categories: the ones based on sequential coupling and those arising from the embedded coupling. We organize this work in two main sections, reflecting this subdivision.
