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arXiv 2609.18116eess.SYcs.SY

基于高斯过程回归的窦房结心脏节律滑模控制

Sliding Mode Control of Cardiac Rhythms in the Sinoatrial Node using Gaussian Process Regression

  • University of Turku(图尔库大学)
  • Universidade Federal do Rio de Janeiro(里约热内卢联邦大学)

机构由 AI 辅助整理,请以论文原文为准。

Gabriel da Silva Lima, Marcelo Amorim Savi, Wallace Moreira Bessa

AI总结:

本研究提出一种基于滑模和高斯过程回归的窦房结心脏节律控制器,以诱导正常心律,避免心律失常,并通过仿真验证其有效性。

AI中文摘要:

窦房结(SA),也称为天然起搏器,负责启动心脏电活动,通常由心电图(ECG)表示。窦房结的异常可产生紊乱的心脏节律,换言之,即在心电图中可见的心律失常。开发控制策略以稳定天然起搏器处的心脏节律,可为处理和避免某些心脏病理提供有效途径。本文研究使用基于滑模的鲁棒控制器来控制窦房结处的心脏节律,以从病理反应中诱导出正常节律。该控制器中嵌入了一个高斯过程回归器,用于预测并补偿建模不确定性和扰动。采用一个与实验测量结果高度吻合的数学模型来表示心脏功能。所采用的模型包含一个由窦房结、房室结(AV)和希氏-浦肯野复合体(HP)组成的振荡器网络。使用三个非线性振荡器分别代表每个节点,这些节点通过延迟耦合连接。通过类李雅普诺夫稳定性分析研究了有界性和收敛性。为了评估控制律处理患者间变异性的能力,假设心脏模型对控制器设计者不可用,仅在模拟器中用于评估控制性能。结果表明,通过应用所提出的控制方案,可以避免异常节律,使心电图更接近预期的正常行为,并防止关键的心脏反应。

英文摘要:

The Sinoatrial node (SA), also called natural pacemaker, is responsible to initiate the heart electrical activity, usually represented by electrocardiograms (ECGs). Abnormalities at the SA node can produce disordered heart rhythms or, in other words, cardiac arrhythmia that are visualized in the ECGs. The development of control strategies to stabilize the cardiac rhythm at the natural pacemaker can provide efficient ways to deal with and avoid some heart pathology. This paper investigates the use of a robust controller based on sliding modes for cardiac rhythms at the SA node in order to induce normal rhythms from pathological responses. Embedded into this controller, a Gaussian process regressor is utilized to predict and compensate modeling uncertainties and disturbances. A mathematical model that presents close agreement with experimental measurements is employed to represent the heart functioning. The adopted model comprises a network of oscillators formed by sinoatrial node, atrioventricular node (AV) and His-Purkinje complex (HP). Three nonlinear oscillators are employed to represent each one of the nodes that are connected by delayed couplings. The boudedness and convergence properties are investigated with a Lyapunov-like stability analysis. In order to evaluate the ability of the control law to deal with interpatient variability, the heart model is assumed to be not available to the controller designer, being used only in the simulator to assess the control performance. The results show that, by applying the proposed control scheme, abnormal rhythms can be avoided, turning the ECG closer to the expected normal behavior and preventing critical cardiac responses.

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