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 computational modeling of the cardiovascular system is increasingly
providing non‐invasive alternatives to traditional invasive clinical procedures. Moreover, it …

Abstract Systolic Anterior Motion (SAM) of the mitral valve–often associated with
Hypertrophic Obstructive Cardiomyopathy (HOCM)–is a cardiac pathology in which a …

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

We present a robust and computationally efficient parameter estimation strategy for fluid–
structure interaction problems. The method is based on a filtering algorithm restricted to the …

The heterogeneity inherent in cancer means that even a successful clinical trial merely
results in a therapeutic regimen that achieves, on average, a positive result only in a subset …

Several cardiovascular diseases are caused from localised abnormal blood flow such as in
the case of stenosis or aneurysms. Prevailing theories propose that the development is …

Inverse modeling approaches in cardiovascular medicine are a collection of methodologies
that can provide non-invasive patient-specific estimations of tissue properties, mechanical …

The choice of appropriate boundary conditions is a fundamental step in computational fluid
dynamics (CFD) simulations of the cardiovascular system. Boundary conditions, in fact …

Data assimilation techniques, such as ensemble Kalman filtering, have been shown to be a
highly effective and efficient way to combine noisy data with a mathematical model to track …