Shape reconstruction of cardiac ischemia from non-contact intracardiac recordings: A model study

Álvarez, Diego; Alonso‐Atienza, Felipe; Rojo-Álvarez, José Luis; García‐Alberola, Arcadi; Moscoso, Miguel

doi:10.1016/j.mcm.2011.11.025

Cited by 19 publications

(37 citation statements)

References 39 publications

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“…Standard electrocardiographic techniques attempt to infer electrophysiological processes in the heart from body surface measurements of the electrical potential, as in the case of electrocardiograms (ECGs), or body surface ECGs (also known as body potential maps). These measurements can provide useful insights for the reconstruction of the cardiac electrical activity within the so-called electrocardiographic imaging, by solving the well-known inverse problem of electrocardiography 1 . A much more invasive option to acquire potential measurements is represented by non-contact electrodes inside a heart cavity to record endocardial potentials.…”

Section: Introductionmentioning

confidence: 99%

“…Indeed, even for the linear counterpart of the inverse problem, it has been shown in [22] and [27] that infinitely many measurements are needed to detect uniquely the unknown inclusions, and that the continuous dependence of the inclusion from the data is logarithmic [20]. Moreover, despite the inverse problem of ischemia identification from measurements of surface potentials has been tackled in an optimization framework for numerical purposes [32,30,1,15], a detailed mathematical analysis of this problem has never been performed. To our knowledge, no theoretical investigation of inverse problems related with ischemia detection involving the monodomain and/or the bidomain model has been carried out.…”

Section: Introductionmentioning

confidence: 99%

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An inverse problem for a semilinear parabolic equation arising from cardiac electrophysiology

Beretta¹,

Cavaterra²,

Cerutti³

et al. 2017

Inverse Problems

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In this paper we develop theoretical analysis and numerical reconstruction techniques for the solution of an inverse boundary value problem dealing with the nonlinear, timedependent monodomain equation, which models the evolution of the electric potential in the myocardial tissue. The goal is the detection of an inhomogeneity ω (where the coefficients of the equation are altered) located inside a domain Ω starting from observations of the potential on the boundary ∂Ω. Such a problem is related to the detection of myocardial ischemic regions, characterized by severely reduced blood perfusion and consequent lack of electric conductivity. In the first part of the paper we provide an asymptotic formula for electric potential perturbations caused by internal conductivity inhomogeneities of low volume fraction, extending the results published in [7] to the case of three-dimensional, parabolic problems. In the second part we implement a reconstruction procedure based on the topological gradient of a suitable cost functional. Numerical results obtained on an idealized three-dimensional left ventricle geometry for different measurement settings assess the feasibility and robustness of the algorithm.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An inverse problem for a semilinear parabolic equation arising from cardiac electrophysiology

Beretta¹,

Cavaterra²,

Cerutti³

et al. 2017

Inverse Problems

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show abstract

“…In these studies the ischemic regions are assessed by reconstructing the transmembrane or the epicardial potentials at a single time-instant during the plateau phase of the action poten-tial, thus ignoring the spatiotemporal correlation information contained in the BSPMs. Using a different approach, we previously developed an inverse procedure that exploits the spatio-temporal correlations contained in the BSPMs through a mathematical model that describes the electrical activity of the heart [8].…”

Section: Introductionmentioning

confidence: 99%

“…In this work, we extended our methodology defined in [8] to 3D realistic anatomical models. The performance of the inverse procedure was analyzed in different noisy scenarios, where BSPMs were corrupted by AWGN with different signal-to-noise ratios (SNRs).…”

Section: Introductionmentioning

confidence: 99%

Inverse localization of ischemia in a 3D realistic geometry: A level set approach

Chávez

Alonso‐Atienza

Zemzemi

et al. 2015

2015 Computing in Cardiology Conference (CinC)

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The reconstruction of cardiac ischemic regions from body surface potential measurements (BSPMs) is usually performed at a single time instant which corresponds to the plateau or resting phase of the cardiac action potential. Using a different approach, we previously proposed a level set formulation that incorporates the knowledge of the cardiac excitation process in the inverse procedure, thus exploiting the spatio-temporal correlations contained in the BSPMs. In this study, we extend our inverse levelset formulation for the reconstruction of ischemic regions to 3D realistic geometries, and analyze its performance in different noisy scenarios. Our method is benchmarked against zero-order Tikhonov regularization. The inverse reconstruction of the ischemic region is evaluated using the correlation coefficient (CC), the sensitive error ratio (SN), and the specificity error ratio (SP). Our algorithm outperforms zero-order Tikhonov regularization, specially in highly noisy scenarios.

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“…The authors in [3] describe the generation of EGM fractionation from changes in activation wavefront curvature in experimental canine infarction. In [4], the modelling of intracardiac recordings was used to aid in the reconstruction of cardiac ischemia. The work in [5] studied the influence of different catheter angles, locations and filter settings on the morphology of simulated intracardiac EGM and compared them to clinical signals.…”

mentioning

confidence: 99%

Image-Based Biophysical Simulation of Intracardiac Abnormal Ventricular Electrograms

Cabrera-Lozoya

Berte

Cochet

et al. 2017

IEEE Trans. Biomed. Eng.

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Abstract-Goal: In this work, we used in silico patientspecific models constructed from 3D delayed-enhanced magnetic resonance imaging (DE-MRI) to simulate intracardiac electrograms (EGM). These included electrically abnormal electrograms as these are potential radiofrequency ablation (RFA) targets. Methods: We generated signals with distinguishable macroscopic normal and abnormal characteristics by constructing MRIbased patient-specific structural heart models and by solving the simplified biophysical Mitchell-Schaeffer model of cardiac electrophysiology. Then, we simulated intracardiac electrograms by modelling a recording catheter using a dipole approach. Results: Qualitative results show that simulated EGM resemble clinical signals. Additionally, the quantitative assessment of signal features extracted from the simulated EGM showed statistically significant differences (p<0.0001) between the distributions of normal and abnormal electrograms, similarly to what is observed on clinical data. Conclusion: We demonstrate the feasibility of coupling simplified cardiac EP models with imaging data to generate intracardiac EMG. Significance: These results are a step forward in the direction of the pre-operative and non-invasive identification of ablation targets to guide RFA therapy.Index Terms-cardiac electrophysiology modelling, intracardiac electrogram modelling, radiofrequency ablation planning, electroanatomical mapping.

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Shape reconstruction of cardiac ischemia from non-contact intracardiac recordings: A model study

Cited by 19 publications

References 39 publications

An inverse problem for a semilinear parabolic equation arising from cardiac electrophysiology

An inverse problem for a semilinear parabolic equation arising from cardiac electrophysiology

Inverse localization of ischemia in a 3D realistic geometry: A level set approach

Image-Based Biophysical Simulation of Intracardiac Abnormal Ventricular Electrograms

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