Toward Patient-Specific Myocardial Models of the Heart

Sermesant, Maxime; Peyrat, Jean-Marc; Chinchapatnam, Phani; Billet, Florence; Mansi, Tommaso; Rhode, Kawal; Delingette, Hervé; Razavi, Reza; Ayache, Nicholas

doi:10.1016/j.hfc.2008.02.014

Cited by 37 publications

(29 citation statements)

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“…Most approaches in the literature utilize explicit time integration schemes, e.g., [21,25]. Although some groups suggest fourth order Runge-Kutta methods, e.g., [32,33], we have found the backward Euler scheme extremely satisfying. We assume that the unexpectedly good performance of the backward Euler scheme can be traced back to the somewhat constrained nature of the action potential which, unlike most evolving variables in continuum mechanics, always returns to a unique stable equilibrium state.…”

Section: The Recovery Problem: Local Solution At the Integration Poinmentioning

confidence: 81%

“…Even slight disturbances of the complex electrical conduction system can have devastating physiological consequences and initiate conditions under which the tissue re-excites itself through re-entrant spiral waves, see, e.g., the early experimental investigations of Mines [19], or the modern analytical and computational studies by Fenton et al [7,8], Nash and Panfilov [21], Panfilov et al [24,25], Rogers and McCulloch [27][28][29], and Sermesant et al [32,33]. The uncoordinated propagation of excitation waves within closed circuits typically manifest itself in a fast, uncoordinated, arrhyhthmic contraction of the heart and a severe loss of pump function, see, e.g., the illustrative textbooks of Ganong [10], Klabunde [16], or Plonsey and Barr [26].…”

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confidence: 99%

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Atrial and ventricular fibrillation: computational simulation of spiral waves in cardiac tissue

2009

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This manuscript proposes a novel, efficient finite element solution technique for the computational simulation of cardiac electrophysiology. We apply a two-parameter model that is characterized through a fast action potential and a slow recovery variable. The former is introduced globally as a nodal degree of freedom, whereas the latter is treated locally as internal variable on the integration point level. This particular discretization is extremely efficient and highly modular since different cardiac cell models can be incorporated straightforwardly through only minor local modifications on the integration point level. In this manuscript, we illustrate the algorithm in terms of the Aliev-Panfilov model for cardiomyocytes. To ensure unconditional stability, a backward Euler scheme is applied to discretize the evolution equation for both the action potential and the recovery variable in time. To increase robustness and guarantee optimal quadratic convergence, we suggest an incremental iterative Newton-Raphson scheme and illustrate the consistent linearization of the weak form of the excitation problem. The proposed algorithm is illustrated by means of two-and three-dimensional examples of re-entrant spiral and scroll waves characteristic of cardiac arrhythmias in atrial and ventricular fibrillation.

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Section: The Recovery Problem: Local Solution At the Integration Poinmentioning

confidence: 81%

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confidence: 99%

Atrial and ventricular fibrillation: computational simulation of spiral waves in cardiac tissue

2009

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“…diagnosis and therapy planning); scar characterization obtained from ex vivo imaging data is useful in facilitating this validation / calibration phase. The goal of the these models is to be used in combination with less invasive imaging and EP diagnostic procedures, to improve the outcome of the therapy and its success rate [23]. Minimal amount of imaging time and pre-operative processing is desired; our model is highly adaptive and ultimately will be fitted to patient data.…”

Section: Discussion and Future Workmentioning

confidence: 99%

Characterization of Post-infarct Scars in a Porcine Model – A Combined Experimental and Theoretical Study

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Sermesant

Mansi

et al. 2009

Functional Imaging and Modeling of the Heart

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Abstract. Arrhythmias are often associated with healing infarcts and could arise from the border zone of the scars. The main purpose of this work was to characterize the infarct scars using in vivo electro-anatomic CARTO maps (recorded in sinus rhythm) and high-resolution ex-vivo MR images in a porcine model of chronic infarct. The MR images were segmented into scar, peri-infarct and healthy ventricular tissue, and, in select slices, the results of segmentation were validated against histology. Further, the segmented volumes and associated fiber directions (derived from diffusion-weighted (DW) MRI as well as from synthetic models), were used as input to a simple two-variable mathematical model that calculates the propagation of depolarization waves and isochronal maps; and these isochronal maps were compared to the measured ones. We further correlated the size of the scar measured during the electrophysiology (EP) study with scar dimensions obtained from MRI using ex-vivo DW-MRI methods. Finally, we present preliminary results from a qualitative comparison between the scar delineation from ex vivo and in vivo MR images.

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“…A valve model was therefore implemented in order to apply alternatively different boundary conditions depending on the four phases of the cycle [28]: filling, isovolumetric contraction, ejection and isovolumetric relaxation.…”

Section: Modeling the Heartmentioning

confidence: 99%

SOFA: A Multi-Model Framework for Interactive Physical Simulation

Fauré

Duriez

Delingette

et al. 2012

Studies in Mechanobiology, Tissue Engineering and Biomaterials

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SOFA (Simulation Open Framework Architecture) is an open-source C++ library primarily targeted at interactive computational medical simulation. SOFA facilitates collaborations between specialists from various domains, by decomposing complex simulators into components designed independently and organized in a scenegraph data structure. Each component encapsulates one of the aspects of a simulation, such as the degrees of freedom, the forces and constraints, the differential equations, the main loop algorithms, the linear solvers, the collision detection al- Authors Suppressed Due to Excessive Length gorithms or the interaction devices. The simulated objects can be represented using several models, each of them optimized for a different task such as the computation of internal forces, collision detection, haptics or visual display. These models are synchronized during the simulation using a mapping mechanism. CPU and GPU implementations can be transparently combined to exploit the computational power of modern hardware architectures. Thanks to this flexible yet efficient architecture, SOFA can be used as a test-bed to compare models and algorithms, or as a basis for the development of complex, high-performance simulators.

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Toward Patient-Specific Myocardial Models of the Heart

Cited by 37 publications

References 50 publications

Atrial and ventricular fibrillation: computational simulation of spiral waves in cardiac tissue

Atrial and ventricular fibrillation: computational simulation of spiral waves in cardiac tissue

Characterization of Post-infarct Scars in a Porcine Model – A Combined Experimental and Theoretical Study

SOFA: A Multi-Model Framework for Interactive Physical Simulation

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