Building maps of local apparent conductivity of the epicardium with a 2-D electrophysiological model of the heart

Building maps of local apparent conductivity of the epicardium with a 2-D electrophysiological model of the heart
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DOI:
10.1109/tbme.2006.877794
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发表时间:
2006-08-01
影响因子:
4.6
通讯作者:
Ayache, Nicholas
Ayache, Nicholas
中科院分区:
工程技术2区
文献类型:
--
作者:
Moreau-Villeger, Valerie;Delingette, Herve;Ayache, Nicholas

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在本文中,我们解决的问题,估计的心脏电生理模型的参数,从一组电记录。所选择的模型是Aliev和Panfilov提出的跨膜电位的反应扩散模型。对于这个模型的跨膜,我们估计一个局部的表观二维电导率从测得的去极化时间分布。首先,我们进行初始调整,包括初始条件和一组全局参数的选择。然后,我们提出了一个本地估计,通过最小化的二次误差之间的去极化时间计算的模型和措施。作为第一步,我们解决的问题,在各向同性版本的Aliev和Panfilov模型的情况下,心外膜表面。使用布伦特方法进行最小化,而不计算误差的导数。该方法的可行性证明合成电生理测量。通过正常和梗死犬心脏的真实的电生理测量获得了概念证明。
In this paper, we address the problem of estimating the parameters of an electrophysiological model of the heart from a set of electrical recordings. The chosen model is the reaction-diffusion model on the transmembrane potential proposed by Aliev and Panfilov. For this model of the transmembrane, we estimate a local apparent two-dimensional conductivity from a measured depolarization time distribution. First, we perform an initial adjustment including the choice of initial conditions and of a set of global parameters. We then propose a local estimation by minimizing the quadratic error between the depolarization time computed by the model and the measures. As a first step we address the problem on the epicardial surface in the case of an isotropic version of the Aliev and Panfilov model. The minimization is performed using Brent method without computing the derivative of the error. The feasibility of the approach is demonstrated on synthetic electrophysiological measurements. A proof of concept is obtained on real electrophysiological measures of normal and infarcted canine hearts.