Blood pressure (BP) is one of the most important monitoring parameters in clinical medicine.
For years, the cuff-based sphygmomanometer and the arterial invasive line have been the …

This survey paper is based on three talks given by the second author at the London
Mathematical Society Durham Symposium on Computational Linear Algebra for Partial …

We propose a mathematical and numerical model for the simulation of the heart function that
couples cardiac electrophysiology, active and passive mechanics and hemodynamics, and …

Mathematical modeling of the human heart and its function can expand our understanding of
various cardiac diseases, which remain the most common cause of death in the developed …

We present a methodology combining neural networks with physical principle constraints in
the form of partial differential equations (PDEs). The approach allows to train neural …

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

The numerical simulation of multiple scenarios easily becomes computationally prohibitive
for cardiac electrophysiology (EP) problems if relying on usual high-fidelity, full order models …

This is a book on Optimal Control Problems (OCPs): how to formulate them, how to set up a
suitable mathematical framework for their analysis, how to approximate them numerically …

Predicting the electrical behavior of the heart, from the cellular scale to the tissue level, relies
on the numerical approximation of coupled nonlinear dynamical systems. These systems …

This paper deals with the numerical simulation of electrocardiograms (ECG). Our aim is to
devise a mathematical model, based on partial differential equations, which is able to …