Optimization of Organ Conductivity for the Forward Problem of Electrocardiography

Bear, Laura; Dubois, Rémi; Zemzemi, Néjib

doi:10.22489/cinc.2016.112-136

Cited by 2 publications

(2 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In that work, there was no aim to estimate the conductivity values. The identification of the conductivities of the torso using a single measurement has been subject of a numerical study [10] using synthetic data, or using on in vivo data [7]. However, none of these works coupled the conductivity optimization to the data completion problem.…”

Section: Introductionmentioning

confidence: 99%

A Nash game algorithm for the solution of coupled conductivity identification and data completion in cardiac electrophysiology

Chamekh

Habbal

Kallel

et al. 2019

Math. Model. Nat. Phenom.

Self Cite

View full text Add to dashboard Cite

We consider the identification problem of the conductivity coefficient for an elliptic operator using an incomplete over specified measures on the surface. Our purpose is to introduce an original method based on a game theory approach, and design a new algorithm for the simultaneous identification of conductivity coefficient and data completion process. We define three players with three corresponding criteria. The two first players use Dirichlet and Neumann strategies to solve the completion problem, while the third one uses the conductivity coefficient as strategy, and uses a cost which basically relies on an identifiability theorem. In our work, the numerical experiments seek the development of this algorithm for the electrocardiography imaging inverse problem, dealing with inhomogeneities in the torso domain. Furthermore, in our approach, the conductivity coefficients are known only by an approximate values. We conduct numerical experiments on a 2D torso case including noisy measurements. Results illustrate the ability of our computational approach to tackle the difficult problem of joint identification and data completion.

show abstract

Section: Introductionmentioning

confidence: 99%

A Nash game algorithm for the solution of coupled conductivity identification and data completion in cardiac electrophysiology

Chamekh

Habbal

Kallel

et al. 2019

Math. Model. Nat. Phenom.

Self Cite

View full text Add to dashboard Cite

show abstract

“…The boundary element method (BEM) is often an appropriate way to compute the transfer matrix, despite the different inner physical properties of the conductor medium when the medium is isotropic [4]. Barr et al gives an overall theory of dealing with forward problem and inverse problem based on BEM [5].…”

mentioning

confidence: 99%

A Method for Normal Direction Judge Applied in Electrocardiographic Problem

Tang¹,

Wu²,

Chen³

2018

JBM

View full text Add to dashboard Cite

Boundary Element Method (BEM) is widely used in electrocardiographic (ECG) problem. Formulations of these problems based on mathematical and numerical approximations of the known source in heart and the volume conductor that can transfer voltages on the surface of the body. To analyze the electric potentials on body surface or epicardial surface, a set of discrete equations derived from a boundary integral equations need to be solved. Solving these equations means to get the potential distribution eventually. In the process of solving, transfer matrix of discrete equations has received considerable attention, how to get an appropriate transfer matrix is an important issue. This paper found that the direction of normal vector could affect the results when calculating the transfer matrix and presents a method analogous to Mesh Current Method to deal with this direction problem. Several simulations have been carried out to verify the accurate results with the correct direction of normal vector using new method within a torso model given simultaneous epicardial and body surface potential recordings.

show abstract

Optimization of Organ Conductivity for the Forward Problem of Electrocardiography

Abstract: Abstract

Cited by 2 publications

References 7 publications

A Nash game algorithm for the solution of coupled conductivity identification and data completion in cardiac electrophysiology

A Nash game algorithm for the solution of coupled conductivity identification and data completion in cardiac electrophysiology

A Method for Normal Direction Judge Applied in Electrocardiographic Problem

Contact Info

Product

Resources

About