From the Clinic to Partial Differential Equations and Back: Emerging challenges for Cardiovascular Mathematics
Mathematical models have been giving remarkable contributions in advancing knowledge and supporting decisions in several branches of medicine.
Some progress in applying predictive mathematical tools has been made, for example: surgical planning of the Total Cavopulmonary Connection in cardiac pediatrics is, in some hospitals, based on extensive numerical simulation. However, despite the significance, the impact of predictive modeling in the routine medical treatment falls behind.
The ultimate goal of this workshop is to foster collaboration between mathematicians and medical doctors on modeling cardiovascular system. The workshop is organized into two lines that reflect the special format of the workshop: (a) "Core topics" are up-to-date research areas in mathematics and scientific computing that still present several open exciting challenges, which can require developing new numerical models, computational approaches and validation techniques; (b) "New challenges" are a set of cardiovascular (in broad sense) problems and diseases that have not been attacked extensively with numerical tools.
The "core topics" will include fluid-structure interaction, multi-scale dynamics, data assimilation, while the "new challenges" will focus on the liver circulation, cardiac re-synchronization therapy, chronic venous insufficiency and coiling of intracranial aneurysms. The workshop will be based on round-table discussions in smaller groups and lectures.