An implementation of data assimilation techniques for transmural visualization of action potential propagation in cardiac tissue
An implementation of data assimilation techniques for transmural visualization of action potential propagation in cardiac tissue
复制标题
心脏组织动作电位传播透壁可视化数据同化技术的实现
DOI：
10.1117/12.2550467
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Otani, Niels F.
中科院分区：
文献类型：
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作者：
Beam, Christopher;Linte, Cristian A.;Otani, Niels F.
已经提出了许多模型来描述心肌组织内动作电位的运动和传播。这些模型产生的信息可能无法验证，因为目前还没有技术可以准确测量心脏组织壁内的电压，特别是在体内环境中。在大多数情况下，测量心肌的收缩运动要简单得多，这是这些动作电位传播的结果之一。先前的工作已经表明，人们可以解决一个逆问题，以获得存在于心脏组织中的动作电位从测量的位移引起的收缩运动;然而，这个逆问题的解决方案迅速退化，在面对这些位移的测量误差。在我们的工作中，我们表明，一个潜在的解决方案，以减少这些错误的影响是通过实施的无迹卡尔曼滤波。这种技术使我们能够将容易出错的测量结果与电生理模型的知识同化，以改进我们的估计并帮助改进我们对逆问题的解决方案。使用这个过程，我们能够以显著减少估计中存在的误差的方式解决一维问题，这反过来又使我们能够更准确地解决系统中的电气行为。
A number of models have been put forward which describe the motion and propagation of action potentials within cardiac muscle tissue. The information produced by these models can be unverifiable, as no techniques currently exist to accurately measure voltage within the walls of the cardiac tissue, especially in an in vivo environment. In most situations it is much simpler to measure the contractile motion of the cardiac muscle, which is one of the results of the propagation of these action potentials. Prior work has suggested that one can solve an inverse problem to derive the action potentials present in the cardiac tissue from measurements of the displacement caused by the contractile motion; nevertheless, the solutions to this inverse problem degrade quickly in the face of error in the measurements of these displacements. In our work, we show that one potential solution for reducing the effects of these errors is through the implementation of the Unscented Kalman Filter. This technique allows us to assimilate our error-prone measurements with knowledge of an electrophysiological model to improve our estimates and help refine our solutions to the inverse problem. Using this process, we are able to solve the one dimensional problem in a way that reduces the error present in our estimates significantly, which, in turn, allows us to more accurately resolve the electrical behavior in our system.