Publications by Ricardo Esteban Ruiz Baier

Integrated Heart-Coupling multiscale and multiphysics models for the simulation of the cardiac function

Alfio Quarteroni, Ricardo Esteban Ruiz Baier, Toni Mikael Lassila, Simone Rossi

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 world. Like other physiological systems, the heart can be understood as a compl ...

Elsevier Science Sa2017

Solvability analysis and numerical approximation of linearized cardiac electromechanics

Alfio Quarteroni, Ricardo Esteban Ruiz Baier

This paper is concerned with the mathematical analysis of a coupled elliptic–parabolic system modeling the interaction between the propagation of electric potential and subsequent deformation of the cardiac tissue. The problem consists in a reaction–diffus ...

World Scientific Publ Co Pte Ltd2015

Finite element and finite volume-element simulation of pseudo-ECGs and cardiac alternans

Alfio Quarteroni, Ricardo Esteban Ruiz Baier

In this paper, we are interested in the spatio-temporal dynamics of the transmembrane potential in paced isotropic and anisotropic cardiac tissues. In particular, we observe a specific precursor of cardiac arrhythmias that is the presence of alternans in t ...

Wiley-Blackwell2015

Finite volume element approximation of an inhomogeneous Brusselator model with cross-diffusion

Ricardo Esteban Ruiz Baier

This paper is concerned with the study of pattern formation for an inhomogeneous Brusselator model with cross-diffusion, modeling an autocatalytic chemical reaction taking place in a three-dimensional domain. For the spatial discretization of the problem w ...

Elsevier2014

Mathematical modelling of active contraction in isolated cardiomyocytes

Alfio Quarteroni, Ricardo Esteban Ruiz Baier, Simone Rossi, Aymen Laadhari

We investigate the interaction of intracellular calcium spatio-temporal variations with the self-sustained contractions in cardiac myocytes. A consistent mathematical model is presented considering a hyperelastic description of the passive mechanical prope ...

Oxford University Press2014

Thermodynamically consistent orthotropic activation model capturing ventricular systolic wall thickening in cardiac electromechanics

Alfio Quarteroni, Ricardo Esteban Ruiz Baier, Toni Mikael Lassila, Simone Rossi, Adélia Sequeira

The complex phenomena underlying mechanical contraction of cardiac cells and their influence in the dynamics of ventricular contraction are extremely important in understanding the overall function of the heart. In this paper we generalize previous contrib ...

Elsevier2014

Mathematical analysis and numerical simulation of pattern formation under cross-diffusion

Ricardo Esteban Ruiz Baier

Cross-diffusion driven instabilities have gained a considerable attention in the field of population dynamics, mainly due to their ability to predict some important features in the study of spatial distribution of species in ecological systems. This paper ...

Pergamon-Elsevier Science Ltd2013

An augmented mixed finite element method for the vorticity–velocity–pressure formulation of the Stokes equations

Ricardo Esteban Ruiz Baier

This paper deals with the numerical approximation of the stationary two-dimensional Stokes equations, formulated in terms of vorticity, velocity and pressure, with non-standard boundary conditions. Here, by introducing a Galerkin least-squares term, we end ...

Elsevier2013

Convergence of a stabilized discontinuous Galerkin method for incompressible nonlinear elasticity

Alfio Quarteroni, Ricardo Esteban Ruiz Baier, Davide Baroli

In this paper we present a discontinuous Galerkin method applied to incompressible nonlinear elastostatics in a total Lagrangian deformation-pressure formulation, for which a suitable interior penalty stabilization is applied. We prove that the proposed di ...

Springer Verlag2013

Fully Eulerian finite element approximation of a fluid-structure interaction problem in cardiac cells

Alfio Quarteroni, Ricardo Esteban Ruiz Baier, Aymen Laadhari

We propose in this paper an Eulerian finite element approximation of a coupled chemical fluid-structure interaction problem arising in the study of mesoscopic cardiac biomechanics. We simulate the active response of a myocardial cell (here considered as an ...

Wiley-Blackwell2013