Arterial pulse waveforms contain a wealth of information about the cardiovascular system. There is a lack of physical meaning in the mathematical model of arterial pulse waves, while the physical model fails to offer individuality as too many assumptions are involved. In this article, we focus on promoting the interpretability of the arterial pulse mathematical model. The proposed method is based on newly developed 3-term fitting functions individualized by the physiological parameter assignment, which are the peak times of the reflected and dicrotic waves in a pulse. In this manner, the model allows decomposition of the pulse into sub-signals with clear physiological significance. With nearly 10,000 pulse fitting experiments, it is demonstrated that the proposed method outperforms the standard methods in fitting accuracy while providing parameters linked to hemodynamic characteristics and common clinical indices such as the peripheral augmentation index (pAI). The proposed method innovatively maintains the individuality and accuracy of mathematical models while improving the interpretability of their parameters. The applications of this newly developed method, which explicitly incorporates hemodynamic characteristics, are expected to be particularly valuable in future pulse wave decomposition studies.

中文翻译：

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用于动脉脉搏波建模和分解的可解释且准确的曲线拟合方法


动脉脉搏波形包含有关心血管系统的丰富信息。动脉脉搏波的数学模型缺乏物理意义，而物理模型由于涉及太多假设而无法提供个性化。在本文中，我们的重点是提高动脉脉搏数学模型的可解释性。所提出的方法基于新开发的通过生理参数分配个性化的三项拟合函数，这些函数是脉冲中反射波和重搏波的峰值时间。通过这种方式，该模型可以将脉冲分解为具有明确生理意义的子信号。经过近 10,000 次脉冲拟合实验，证明该方法在拟合精度方面优于标准方法，同时提供与血流动力学特征和常见临床指标（例如外周增强指数（pAI））相关的参数。所提出的方法创新性地保持了数学模型的个性和准确性，同时提高了其参数的可解释性。这种新开发的方法的应用明确地结合了血流动力学特征，预计在未来的脉搏波分解研究中特别有价值。