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226 results on '"Coudière, Yves"'

1. Comparison of Two Formulations for Computing Body Surface Potential Maps

Author

Lagracie, Emma, Weynans, Lisl, and Coudière, Yves

Subjects
Mathematics - Analysis of PDEs
Abstract

In order to establish a link between the activation map and the body surface signals, we want to compute body potentials from activation maps and a frontlike approximation of the activation of the heart. To do so, two formulations that map the extracardiac potential from the transmembrane voltage naturally emerge from the bidomain model. Either the extracellular/extracardiac potential solves a Laplace equation with discontinuous conductivity coefficient and ionic current as a source (Source Formulation F1); or the quasi-stationary electrical balance between the intra- and extracellular fields (Balance Formulation F2). In this work, we compare F1 and F2, to determine which formulation is the most relevant to use. We compute reference activation map $\psi$ , transmembrane voltage $v$ and body surface map $u$ with a bidomain 2D code. We design two alternative shapes $\tilde{v}$ for a frontlike approximation of $v$ . Afterwards, two extracellular / extracardiac potentials are computed from the activation time $\psi$ and $\tilde{v}$ , using the two different formulations. Then the extracardiac potentials solutions of F1 and F2 are compared respectively to the solution of the bidomain $u$ . Results show that the Balance Formulation F2 is robust to the input data ($\tilde{v}$ and $\psi$). On the contrary, the Source Formulation F1 is very unstable and generates very large errors on the body surface map., Comment: 2023 Computing in Cardiology Conference, Oct 2023, Atlanta, France

Published
2024
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3. Modeling Cardiac Stimulation by a Pacemaker, with Accurate Tissue-Electrode Interface

Author

Pannetier, Valentin, Leguèbe, Michael, Coudière, Yves, Walton, Richard, Dhiver, Philippe, Feuerstein, Delphine, Amaro, Diego, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Bernard, Olivier, editor, Clarysse, Patrick, editor, Duchateau, Nicolas, editor, Ohayon, Jacques, editor, and Viallon, Magalie, editor

Published
2023
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4. Exponential Adams Bashforth integrators for stiff ODEs, application to cardiac electrophysiology

Author

Coudière, Yves, Lontsi, Charlie Douanla, and Pierre, Charles

Subjects
Mathematics - Numerical Analysis
Abstract

Models in cardiac electrophysiology are coupled systems of reaction diffusion PDE and of ODE. The ODE system displays a very stiff behavior. It is non linear and its upgrade at each time step is a preponderant load in the computational cost. The issue is to develop high order explicit and stable methods to cope with this situation.In this article, is is analyzed the resort to exponential Adams Bashforth (EAB) integrators in cardiac electrophysiology. The method is presented in the framework of a general and varying stabilizer, that is well suited in this context. Stability under perturbation (or 0-stability) is proven. It provides a new approach for the convergence analysis of the method. The Dahlquist stability properties of the method is performed. It is presented in a new framework that incorporates the discrepancy between the stabilizer and the system Jacobian matrix. Provided this discrepancy is small enough, the method is shown to be A(alpha)-stable. This result is interesting for an explicit time-stepping method. Numerical experiments are presented for two classes of stiff models in cardiac electrophysiology. They include performances comparisons with several classical methods. The EAB method is observed to be as stable as implicit solvers and cheaper at equal level of accuracy., Comment: Mathematics and Computers in Simulation, Elsevier, In press

Published
2018

5. Efficient high order schemes for stiff ODEs in cardiac electrophysiology

Author

Lontsi, Charlie Douanla, Coudière, Yves, and Pierre, Charles

Subjects
Mathematics - Numerical Analysis
Abstract

In this work we analyze the resort to high order exponential solvers for stiff ODEs in the context of cardiac electrophysiology modeling. The exponential Adams-Bashforth and the Rush-Larsen schemes will be considered up to order 4. These methods are explicit multistep schemes.The accuracy and the cost of these methods are numerically analyzed in this paper and benchmarked with several classical explicit and implicit schemes at various orders. This analysis has been led considering data of high particular interest in cardiac electrophysiology : the activation time ($t\_a$ ), the recovery time ($t\_r $) and the action potential duration ($APD$). The Beeler Reuter ionic model, especially designed for cardiac ventricular cells, has been used for this study. It is shown that, in spite of the stiffness of the considered model, exponential solvers allow computation at large time steps, as large as for implicit methods. Moreover, in terms of cost for a given accuracy, a significant gain is achieved with exponential solvers. We conclude that accurate computations at large time step are possible with explicit high order methods. This is a quite important feature when considering stiff non linear ODEs.

Published
2017

6. Rush-Larsen time-stepping methods of high order for stiff problems in cardiac electrophysiology

Author

Coudière, Yves, Lontsi, Charlie Douanla, and Pierre, Charles

Subjects
Mathematics - Numerical Analysis
Abstract

To address the issues of stability and accuracy for reaction-diffusion equations, the development of high order and stable time-stepping methods is necessary. This is particularly true in the context of cardiac electrophysiology, where reaction-diffusion equations are coupled with stiff ODE systems. Many research have been led in that way in the past 15 years concerning implicit-explicit methods and exponential integrators. In 2009, Perego and Veneziani proposed an innovative time-stepping method of order 2. In this paper we present the extension of this method to the orders 3 and 4 and introduce the Rush-Larsen schemes of order k (shortly denoted RL\_k). The RL\_k schemes are explicit multistep exponential integrators. They display a simple general formulation and an easy implementation. The RL\_k schemes are shown to be stable under perturbation and convergent of order k. Their Dahlquist stability analysis is performed. They have a very large stability domain provided that the stabilizer associated with the method captures well enough the stiff modes of the problem. The RL\_k method is numerically studied as applied to the membrane equation in cardiac electrophysiology. The RL k schemes are shown to be stable under perturbation and convergent oforder k. Their Dahlquist stability analysis is performed. They have a very large stability domain provided that the stabilizer associated with the method captures well enough the stiff modes of the problem. The RL k method is numerically studied as applied to the membrane equation in cardiac electrophysiology.

Published
2017

7. A Volume Source Method for Solving ECGI Inverse Problem

Author

Diallo, Mohamadou Malal, Coudière, Yves, Dubois, Rémi, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Woeginger, Gerhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Ennis, Daniel B., editor, Perotti, Luigi E., editor, and Wang, Vicky Y., editor

Published
2021
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8. Spiral Waves Generation Using an Eikonal-Reaction Cardiac Electrophysiology Model

Author

Gassa, Narimane, Zemzemi, Nejib, Corrado, Cesare, Coudière, Yves, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Woeginger, Gerhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Ennis, Daniel B., editor, Perotti, Luigi E., editor, and Wang, Vicky Y., editor

Published
2021
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9. Model Assessment Through Data Assimilation of Realistic Data in Cardiac Electrophysiology

Author

Gérard, Antoine, Collin, Annabelle, Bureau, Gautier, Moireau, Philippe, Coudière, Yves, Hutchison, David, Editorial Board Member, Kanade, Takeo, Editorial Board Member, Kittler, Josef, Editorial Board Member, Kleinberg, Jon M., Editorial Board Member, Mattern, Friedemann, Editorial Board Member, Mitchell, John C., Editorial Board Member, Naor, Moni, Editorial Board Member, Pandu Rangan, C., Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Terzopoulos, Demetri, Editorial Board Member, Tygar, Doug, Editorial Board Member, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Coudière, Yves, editor, Ozenne, Valéry, editor, Vigmond, Edward, editor, and Zemzemi, Nejib, editor

Published
2019
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12. Image-Based Modeling of the Heterogeneity of Propagation of the Cardiac Action Potential. Example of Rat Heart High Resolution MRI

Author

Davidović, Anđela, Coudière, Yves, Bourgault, Yves, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Weikum, Gerhard, Series editor, Pop, Mihaela, editor, and Wright, Graham A, editor

Published
2017
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13. Improving the Spatial Solution of Electrocardiographic Imaging: A New Regularization Parameter Choice Technique for the Tikhonov Method

Author

Chamorro-Servent, Judit, Dubois, Rémi, Potse, Mark, Coudière, Yves, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Weikum, Gerhard, Series editor, Pop, Mihaela, editor, and Wright, Graham A, editor

Published
2017
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14. A Parameter Optimization to Solve the Inverse Problem in Electrocardiography

Author

Ravon, Gwladys, Dubois, Rémi, Coudière, Yves, Potse, Mark, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Weikum, Gerhard, Series editor, Pop, Mihaela, editor, and Wright, Graham A, editor

Published
2017
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18. Issues in Modeling Cardiac Optical Mapping Measurements

Author

Ravon, Gwladys, Coudière, Yves, Iollo, Angelo, Bernus, Oliver, Walton, Richard D., Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Weikum, Gerhard, Series editor, van Assen, Hans, editor, Bovendeerd, Peter, editor, and Delhaas, Tammo, editor

Published
2015
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19. Inverse Problem of Electrocardiography: Estimating the Location of Cardiac Ischemia in a 3D Realistic Geometry

Author

Chávez, Carlos Eduardo, Zemzemi, Nejib, Coudière, Yves, Alonso-Atienza, Felipe, Álvarez, Diego, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Weikum, Gerhard, Series editor, van Assen, Hans, editor, Bovendeerd, Peter, editor, and Delhaas, Tammo, editor

Published
2015
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22. A Computational Bilayer Surface Model of Human Atria

Author

Labarthe, Simon, Vigmond, Edward, Coudière, Yves, Henry, Jacques, Cochet, Hubert, Jaïs, Pierre, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Ourselin, Sébastien, editor, Rueckert, Daniel, editor, and Smith, Nicolas, editor

Published
2013
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23. In vivo Contact EP Data and ex vivo MR-Based Computer Models: Registration and Model-Dependent Errors

Author

Pop, Mihaela, Sermesant, Maxime, Flor, Roey, Pierre, Charles, Mansi, Tommaso, Oduneye, Samuel, Barry, Jen, Coudiere, Yves, Crystal, Eugene, Ayache, Nicholas, Wright, Graham A., Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Camara, Oscar, editor, Mansi, Tommaso, editor, Pop, Mihaela, editor, Rhode, Kawal, editor, Sermesant, Maxime, editor, and Young, Alistair, editor

Published
2013
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24. EP Challenge - STACOM’11: Forward Approaches to Computational Electrophysiology Using MRI-Based Models and In-Vivo CARTO Mapping in Swine Hearts

Author

Pop, Mihaela, Sermesant, Maxime, Mansi, Tommaso, Crystal, Eugene, Ghate, Sudip, Relan, Jatin, Pierre, Charles, Coudiere, Yves, Barry, Jennifer, Lashevsky, Ilan, Qiang, Beiping, McVeigh, Elliot R., Ayache, Nicholas, Wright, Graham A., Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Nierstrasz, Oscar, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Sudan, Madhu, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Vardi, Moshe Y., Series editor, Weikum, Gerhard, Series editor, Camara, Oscar, editor, Konukoglu, Ender, editor, Pop, Mihaela, editor, Rhode, Kawal, editor, Sermesant, Maxime, editor, and Young, Alistair, editor

Published
2012
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32. An Anisotropic Multi-front Fast Marching Method for Real-Time Simulation of Cardiac Electrophysiology

Author

Sermesant, Maxime, Konukog̃lu, Ender, Delingette, Hervé, Coudière, Yves, Chinchapatnam, Phani, Rhode, Kawal S., Razavi, Reza, Ayache, Nicholas, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Rangan, C. Pandu, editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Sachse, Frank B., editor, and Seemann, Gunnar, editor

Published
2007
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34. MUSIC: Cardiac Imaging, Modelling and Visualisation Software for Diagnosis and Therapy

Author

Merle, Mathilde, primary, Collot, Florent, additional, Castelneau, Julien, additional, Migerditichan, Pauline, additional, Juhoor, Mehdi, additional, Ly, Buntheng, additional, Ozenne, Valery, additional, Quesson, Bruno, additional, Zemzemi, Nejib, additional, Coudière, Yves, additional, Jaïs, Pierre, additional, Cochet, Hubert, additional, and Sermesant, Maxime, additional

Published
2022
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41. Development of a Computational Fluid Dynamics (CFD)-Model of the Arterial Epicardial Vasculature

Author

Martens, Johannes, Panzer, Sabine, van den Wijngaard, Jeroen P. H. M., Siebes, Maria, Schreiber, Laura M., Coudière, Yves, Zemzemi, Nejib, Ozenne, Valéry, Vigmond, Edward, Biomedical Engineering and Physics, Translational Physiology, ACS - Atherosclerosis & ischemic syndromes, and ACS - Microcirculation

Subjects
Physics, Systematic error, business.industry, Quantitative Biology::Tissues and Organs, Physics::Medical Physics, 0206 medical engineering, In-silico modeling, 02 engineering and technology, Blood flow, 030204 cardiovascular system & hematology, Computational fluid dynamics, 020601 biomedical engineering, Imaging data, Cardiac perfusion, Coronary arteries, 03 medical and health sciences, 0302 clinical medicine, Nuclear magnetic resonance, medicine.anatomical_structure, Epicardial blood flow, medicine, Development (differential geometry), business
Abstract

Motivation of the project is the analysis of systematic errors in contrast-enhanced cardiac perfusion imaging by CFD simulations of contrast agent transport in the arterial epicardial vasculature. This requires the realistic modeling of volume blood flow (VBF) in the coronary arteries to provide a physiologically relevant computational framework for the transport simulations. For this purpose, 3D-models of the left and right coronary trees are extracted from high-resolution cardiovascular cryomicrotome imaging data and meshed with computational grids. A dedicated model integrating characteristics of coronary blood flow is used to generate boundary conditions (BCs). Subsequently, VBF is analyzed in left and right ventricular myocardial regions (\(\mathrm{VBF}_\mathrm{m}\)) and in dependence of the vessel sizes (\(\mathrm{VBF}_\mathrm{v}\)). Regarding the distribution of \(\mathrm{VBF}_\mathrm{m}\) in the myocardial segments, good agreement with literature values is found. Partial compliance of the findings of the \(\mathrm{VBF}_\mathrm{v}\)-analysis with results from other groups is promising, however, indicates room for improvement.

Published
2019

44. Rush-Larsen time-stepping methods of high order for stiff problems in cardiac electrophysiology. ETNA - Electronic Transactions on Numerical Analysis

Author

Pierre, Charles, Lontsi, Charlie Douanla, and Coudière, Yves

Subjects
stiff equations, explicit high-order multistep methods, exponential integrators, stability and convergence, Dahlquist stability,Mathematik
Abstract

The stability and accuracy of numerical methods for reaction-diffusion equations still need improvements, which prompts the development of high-order and stable time-stepping methods. This is particularly true in the context of cardiac electrophysiology, where reaction-diffusion equations are coupled with stiff systems of ordinary differential equations. So as to address these issues, much research on implicit-explicit methods and exponential integrators has been carried out during the past 15 years. In 2009, Perego and Veneziani [Electron. Trans. Numer. Anal., 35 (2009), pp. 234–256] proposed an innovative time-stepping scheme of order 2. In this paper we present an extension of this scheme to the orders 3 and 4, which we call Rush-Larsen schemes of order k. These new schemes are explicit multistep methods, which belong to the classical class of exponential integrators. Their general formulation is simple and easy to implement. We prove that they are stable under perturbation and convergent of order k. We analyze their Dahlquist stability and show that they have a very large stability domain provided that the stabilizer associated with the method captures well enough the stiff modes of the problem. We study their application to a system of equations that models the action potential in cardiac electrophysiology.

Published
2020

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