Ricardo Esteban Ruiz Baier

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Related publications (21)

Analysis of an optimal control problem for the tridomain model in cardiac electrophysiology

Ricardo Esteban Ruiz Baier

In the present paper, an optimal control problem constrained by the tridomain equations in electrocardiology is investigated. The state equations consisting in a coupled reaction-diffusion system modelling the propagation of the intracellular and extracell ...

Elsevier2012

An active strain electromechanical model for cardiac tissue

Alfio Quarteroni, Fabio Nobile, Ricardo Esteban Ruiz Baier

We propose a finite element approximation of a system of partial differential equations describing the coupling between the propagation of electrical potential and large deformations of the cardiac tissue. The underlying mathematical model is based on the ...

Wiley2012

Orthotropic active strain models for the numerical simulation of cardiac biomechanics

Alfio Quarteroni, Ricardo Esteban Ruiz Baier, Simone Rossi

An active strain formulation for orthotropic constitutive laws arising in cardiac mechanics modeling is introduced and studied. The passive mechanical properties of the tissue are described by the Holzapfel-Ogden relation. In the active strain formulation, ...

Wiley2012

A stabilized finite volume element formulation for sedimentation-consolidation processes

Ricardo Esteban Ruiz Baier

A model of sedimentation-consolidation processes in so-called clarifier-thickener units is given by a parabolic equation describing the evolution of the local solids concentration coupled with a version of the Stokes system for an incompressible fluid desc ...

Siam Publications2012

A multiresolution method for the simulation of sedimentation in inclined channels

Ricardo Esteban Ruiz Baier

An adaptive multiresolution scheme is proposed for the numerical solution of a spatially two-dimensional model of sedimentation of suspensions of small solid particles dispersed in a viscous fluid. This model consists in a version of the Stokes equations f ...

2012

On some numerical aspects of an active strain model in cardiac mechanics

Alfio Quarteroni, Ricardo Esteban Ruiz Baier, Simone Rossi

We are interested in the development, implementation and testing of an orthotropic model for cardiac contraction based on an active strain decomposition. Our model addresses the coupling of a transversely isotropic mechanical description at the cell level, ...

Wiley2011

Analysis of a finite volume element method for the Stokes problem

Alfio Quarteroni, Ricardo Esteban Ruiz Baier

In this paper we propose a stabilized conforming finite volume element method for the Stokes equations. On stating the convergence of the method, optimal a priori error estimates in different norms are obtained by establishing the adequate connection betwe ...

Springer2011

Active strain and activation models in cardiac electromechanics

Alfio Quarteroni, Ricardo Esteban Ruiz Baier, Simone Rossi

We present a model for mechanical activation of the cardiac tissue depending on the evolution of the transmembrane electrical potential and certain gating/ionic variables that are available in most of electrophysiological descriptions of the cardiac membra ...

2011

An adaptive finite-volume method for a model of two-phase pedestrian flow

Ricardo Esteban Ruiz Baier

A flow composed of two populations of pedestrians moving in different directions is modeled by a two-dimensional system of convection-diffusion equations. An efficient simulation of the two-dimensional model is obtained by a finite-volume scheme combined w ...

American Institute of Mathematical Sciences2011

Adaptive Multiresolution Methods for the Simulation of Waves in Excitable Media

Ricardo Esteban Ruiz Baier

We present fully adaptive multiresolution methods for a class of spatially two-dimensional reaction-diffusion systems which describe excitable media and often give rise to the formation of spiral waves. A novel model ingredient is a strongly degenerate dif ...

Springer Verlag2010

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