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.

中文翻译：

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12导联心电图的不确定度量化：导联场方法

标准心电图（ECG）是对某些给定位置处的身体电位的逐点评估。这些位置易受不确定性的影响，可能因患者而异，甚至对于单个患者而言也有所不同。在这项工作中，当从双畴模型导出ECG时，我们估计了由不确定电极位置引起的ECG中的不确定性。为了避免在整个躯干中与双域模型的求解相关的高计算成本，我们提出了一种低秩方法来解决不确定性量化问题。更确切地说，我们利用ECG的稀疏性和前场理论将其转化为一组确定性的，与时间无关的问题，这些问题的解决方案最终用于评估ECG的期望和协方差。