The standard electrocardiogram (ECG) is a point-wise evaluation of the body potential at certain given locations. These locations are subject to uncertainty and may vary from patient to patient or even for a single patient. In this work, we estimate the uncertainty in the ECG induced by uncertain electrode positions when the ECG is derived from the bidomain model. In order to avoid the high computational cost associated to the solution of the bidomain model in the entire torso, we propose a low-rank approach to solve the uncertainty quantification problem. More precisely, we exploit the sparsity of the ECG and the lead field theory to translate it into a set of deterministic, time-independent problems, whose solution is eventually used to evaluate expectation and covariance of the ECG. We assess the approach with numerical experiments in a simple geometry.

翻译：标准心电图(ECG)是对某些特定地点的体能潜力的点度评估,这些地点存在不确定性,可能因病人和病人而有所不同,甚至对单一病人而言也不尽相同。在这项工作中,当ECG从色素模型中得出时,我们估计ECG的电极位置不确定,导致ECG的不确定性。为了避免与解决整个托尔索的色素模型有关的高计算成本,我们建议采用低级方法来解决不确定的量化问题。更确切地说,我们利用ECG的广度和领先场理论,将它转化为一套确定性、时间独立的问题,最终用这些问题来评估ECG的预期和共性。我们用简单的几何方法来评估数字实验的方法。