In this paper, we prove a stability estimate of the conductivity parameters identification problem in cardiac electrophysiology. The propagation of the electrical wave in the heart is described by the monodomain model coupled to an elliptic equation describing the diffusion of the electrical wave in the whole body. Our result concerns both heart and torso conductivity parameters. The main difficulty that we solve in this paper is related to the transmission conditions between the heart and the torso. We first, establish Carleman estimates for the coupled heart-torso system. Then, using these estimates and the Bukhgeim and Klibanov approach, we prove a Lipschitz stability estimate of cardiac and torso conductivity parameters.

在本文中，我们证明了心脏电生理学中电导率参数识别问题的稳定性估计。电波在心脏中的传播由单域模型描述，该模型耦合到描述电波在全身扩散的椭圆方程。我们的结果涉及心脏和躯干电导率参数。我们在本文中解决的主要困难与心脏和躯干之间的传输条件有关。我们首先为耦合的心脏-躯干系统建立 Carleman 估计。然后，使用这些估计以及 Bukhgeim 和 Klibanov 方法，我们证明了心脏和躯干电导率参数的 Lipschitz 稳定性估计。