The circulatory system: from case studies to mathematical modeling

Abstract

In this work we illustrate actual case studies in vascular medicine and surgery that we have recently investigated with the support of mathematical models and numerical simulations. We present six examples, where our investigation has different purposes, ranging from a better understanding of phenomena of clinical interest to the optimization of surgical procedures. For each case, the description of the problem is followed by an illustration of the mathematical model and the numerical technique used for its investigation, including the discussion of numerical results. Each example thus provides the conceptual framework to introduce mathematical models and numerical methods whose applicability, however, goes beyond the specific case that is addressed. © Springer-Verlag Italia, Milano 2006.