Mathematical and numerical modelling of the cardiovascular system is a research topic that
has attracted remarkable interest from the mathematical community because of its intrinsic …

This review paper addresses the so called geometric multiscale approach for the numerical
simulation of blood flow problems, from its origin (that we can collocate in the second half …

Mathematical and numerical modelling of the human cardiovascular system has attracted
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …

Implementation of boundary conditions in cardiovascular simulations poses numerical
challenges due to the complex dynamic behavior of the circulatory system. The use of …

We consider Bayesian inference for large-scale inverse problems, where computational
challenges arise from the need for repeated evaluations of an expensive forward model …

High-fidelity blood flow modelling is crucial for enhancing our understanding of
cardiovascular disease. Despite significant advances in computational and experimental …

Coronary artery disease (CAD) is the most common cardiovascular disease. Early diagnosis
of CAD's physiological significance is of utmost importance for guiding individualized risk …

The solution of inverse problems in cardiovascular mathematics is computationally
expensive. In this paper, we apply a domain parametrization technique to reduce both the …

The aim of this position paper is to provide a brief overview of the current status of
cardiovascular modelling and of the processes required and some of the challenges to be …

SUMMARY A new framework for estimation of lumped (for instance, Windkessel) model
parameters from uncertain clinical measurements is presented. The ultimate aim is to …