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 …

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

The inverse problem of electrocardiography is usually analyzed during stationary rhythms.
However, the performance of the regularization methods under fibrillatory conditions has not …

Sequences of weak electrical pulses are considered a promising alternative for terminating
ventricular and atrial fibrillations while avoiding strong defibrillation shocks with adverse …

Current treatments of cardiac arrhythmias like ventricular fibrillation involve the application of
a high-energy electric shock, that induces significant electrical currents in the myocardium …

The conventional termination technique of life threatening cardiac arrhythmia like ventricular
fibrillation is the application of a high-energy electrical defibrillation shock, coming along …

We introduce a new local meshfree method for the approximation of the Laplace–Beltrami
operator on a smooth surface in R^ 3 R 3. It is a direct method that uses radial basis …

The inverse problem of electrocardiography (IPE) has been formulated in different ways in
order to non invasively obtain valuable informations about the heart condition. Most of the …

Goal: In this paper, we used in silico patient-specific models constructed from three-
dimensional delayed-enhanced magnetic resonance imaging (DE-MRI) to simulate …

In this paper we develop a reconstruction algorithm for the solution of an inverse boundary
value problem dealing with a semilinear elliptic partial differential equation of interest in …