脉搏波本构关系实验研究的探索

王礼立; 王晖; 丁圆圆; 陈霞波; 杨黎明; 龚文波; 浣石; 缪馥星

doi:10.11883/bzycj-2022-0434

脉搏波本构关系实验研究的探索

doi: 10.11883/bzycj-2022-0434

1.
宁波大学冲击与安全工程教育部/浙江省重点实验室，浙江宁波 315211
2.
宁波市中医院王晖工作室，浙江宁波 315000
3.
季华实验室，广东佛山 528200

基金项目: 国家自然科学基金（11872218, 11572161）；浙江省国医名师王晖传承工作室建设项目（GZS2020012）；宁波市公益类科技计划（202002N3144）

详细信息

作者简介:
王礼立（1934－　），男，教授，博士生导师，wanglili@nbu.edu.cn

中图分类号: O347.4
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- 被引次数: 0
出版历程
- 收稿日期: 2022-10-10
- 修回日期: 2022-11-14
- 网络出版日期: 2022-11-21
- 刊出日期: 2022-12-08

Exploration of experimental study on constitutive relations of pulse waves

1.
Key Laboratory of Impact and Safety Engineering, Ministry of Education, Ningbo University, Ningbo 315211, Zhejiang, China
2.
Wang Hui Workroom, Ningbo Hospital of Traditional Chinese Medicine, Ningbo 315000, Zhejiang, China
3.
Jihua Laboratory, Foshan 528200, Guangdong, China

摘要

摘要: 脉搏波本构关系决定着脉搏波的传播特征。如何通过实验研究来确定脉搏波本构关系，以及如何通过这些方法从现有文献数据来获得脉搏波本构关系，是当前研究的核心之一。本文中探索了3个可行途径：(1)由实测脉搏波波速对压力的关系C(p)进行反分析（无创法）；(2)直接对脉搏波p-V本构关系进行实测（有创法）；(3)由一系列实测脉搏波波形进行Lagrange反分析（无创法）。采用上述方法，根据现有文献数据，发现由C(p)关系的Rogers-Huang简化式可推得指数型p(V)本构关系；由MK-Hughes式可推得对数型p(V)本构关系。脉搏波传播特性随非线性本构参数发生显著变化。按中医体质分类观点，相应的脉搏波本构关系原则上也有不同类型，因人而定。在这个意义上，脉搏波的Lagrange反分析具有广阔发展前景，但它对正确选择测点和提高测量敏感性和精度等方面提出了更高要求。
- 脉搏波 /
- 本构关系 /
- 实验研究 /
- 反分析 /
- 中医
Abstract: The pulse wave constitutive relation determines propagation characteristics of pulse wave. How to determine it through experimental studies, and how to obtain it from the existing literature data through these methods, is one of the cores of the current research. Three feasible approaches were explored: (1) inverse analysis of the relationship C(p) (non-invasive method), (2) direct measurement of pulse wave p-V relationship (invasive method), and (3) Lagrange inverse analysis of a series of measured pulse wave (non-invasive method). By using the above methods and according to the existing literature data, it is found that the exponential p(V) constitutive relation can be deduced from the Rogers-Huang simplified formula of C(p) relation. The logarithmic p(V) constitutive relation can be deduced from the MK-Hughes equation. Pulse wave propagation characteristics vary significantly with nonlinear constitutive parameters. According to the viewpoint of body constitution classification in traditional Chinese medicine (TCM), the corresponding constitutive relation of pulse wave also has different types in principle, depending on people. In this sense, the Lagrange inverse analysis of pulse wave has a broad development prospect, but it puts forward higher requirements on the correct selection of measurement points and improving the sensitivity and accuracy of measurement.
- pulse wave /
- constitutive relation /
- experimental study /
- inverse analysis /
- traditional Chinese medicine (TCM)

HTML全文

图 1 波速C取决于本构方程p-V曲线的局部斜率（dp/dV）

Figure 1. The wave velocity C depends on the local slope (dp/dV) of the p-V curve

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图 2 RH简化式（式(7b)）与RH模型（式(7a)）和文献实测舒张压数据的比较

Figure 2. Comparison of the RH simplified formula (Eq.(7b)) with the RH model (Eq. (7a)) and the measured diastolic blood pressure (DBP) literature data

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图 3 不同情况下RH简化式（式(7b)对应的p-V曲线

Figure 3. p-V curves for the RH simplified formula (Eq. (7b)) under different conditions

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4(a) Hughes等^[16-17]在狗的活体体内实验中，用三轴超声导管测得的主动脉内外径随血压的变化

4(a). Aortic inner and outer diameters along with aortic pressure recorded simultaneously and continuously with a triaxial ultrasonic catheter in the in-vivo measurements for dogs by Hughes et al^[16-17]

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4(b) Hughes等^[16-17]在死狗体外直接测得的p-V曲线

4(b). The p-V curve directly measured in the in-vitro measurements for dogs by Hughes et al^[16-17]

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5(a) Hu等^[22]的实验中采用的电容型阵列传感器

5(a). The capacitor array sensor used in the experiment by Hu et al^[22]

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5(b) Hu等^[22]的实验中“关”部各通道的实测波形

5(b). The waveform of each channel at Guan pulse taking position in the experiment by Hu et al^[22]

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5(c) 对应于Hu等^[22]的实验中电容型阵列传感器通道2、5、8的p-t图的电信号

5(c). Electrical signals corresponding to the p-t waveforms measured at Ch2, Ch5 and Ch8 of the capacitor array sensor in the experiment by Hu et al^[22]

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参考文献(22)

[1]	王礼立. 应力波基础 [M]. 2版. 北京: 国防工业出版社, 2005. WANG L L. Foundation of stress waves [M]. 2nd ed. Beijing, China: National Defense Industry Press, 2005.
[2]	WANG L L, WANG H. Mechanics modeling and inverse analyses of pulse wave system from the view-point of traditional Chinese medicine [C]//Proceedings of the 35th International Conference on Ocean, Offshore and Arctic Engineering (OMAE2016). Busan, South Korea: BEXCO Exhibition Convention Center, 2016.
[3]	王礼立, 王晖. 脉搏波系统的力学模型及反演兼对若干中医学问题的讨论 [J]. 力学学报, 2016, 48(6): 1416–1424. DOI: 10.6052/0459-1879-15-322. WANG L L, WANG H. Mechanics modeling and inverse analyses of pulse waves system with discussions on some concepts in the traditional Chinese medicine [J]. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(6): 1416–1424. DOI: 10.6052/0459-1879-15-322.
[4]	王礼立, 王晖, 杨黎明, 等. 论脉搏波客观化和定量化研究的症结所在 [J]. 中华中医药杂志, 2017, 32(11): 4855–4863. WANG L L, WANG H, YANG L M, et al. Crux of objectification and quantification of pulse waves [J]. China Journal of Traditional Chinese Medicine and Pharmacy, 2017, 32(11): 4855–4863.
[5]	缪馥星, 王晖, 王礼立, 等. 血液-血管耦合特性与脉搏波传播特性的关系 [J]. 爆炸与冲击, 2020, 40(4): 041101. DOI: 10.11883/bzycj-2020-0082. MIAO F X, WANG H, WANG L L, et al. Relationship between the blood-vessel coupling characteristics and the propagation of pulse waves [J]. Explosion and Shock Waves, 2020, 40(4): 041101. DOI: 10.11883/bzycj-2020-0082.
[6]	王晖, 王礼立, 缪馥星, 等. 论心脏功能的“泵说”与“波说” [J]. 爆炸与冲击, 2020, 40(11): 111101. DOI: 10.11883/bzycj-2020-0386. WANG H, WANG L L, MIAO F X, et al. On “pump theory” and “wave theory” of cardiac function [J]. Explosion and Shock Waves, 2020, 40(11): 111101. DOI: 10.11883/bzycj-2020-0386.
[7]	王琦. 中医体质学 [M]. 北京: 人民卫生出版社, 2009. WANG Q. Constitutionology of Chinese Medicine [M]. Beijing, China: People’s Medical Publishing House, 2009.
[8]	王晖. 体质的中医保健 [M]. 浙江宁波: 宁波出版社, 2009. WANG H. Traditional Chinese Medicine health care of body constitutions[M]. Ningbo, Zhejiang, China: Ningbo Press, 2009.
[9]	费兆馥. 现代中医脉诊学 [M]. 2版. 北京: 人民卫生出版社, 2006. FEI Z F. Contemporary sphygmology in traditional Chinese medicine [M]. 2nd ed. Beijing, China: People’s Medical Publishing House, 2006.
[10]	LUO C H, CHUNG Y F, HU C S, et al. Possibility of quantifying TCM finger-reading sensation: I. bi-sensing pulse diagnosis instrument [J]. European Journal of Integrative Medicine, 2012, 4(3): 255–262. DOI: 10.1016/j.eujim.2012.03.003.
[11]	XUE Y, SU Y, ZHANG C, et al. Full-field wrist pulse signal acquisition and analysis by 3D Digital Image Correlation [J]. Optics and Lasers in Engineering, 2017, 98: 76–82. DOI: 10.1016/j.optlaseng.2017.05.018.
[12]	2007 Guidelines for the management of arterial hypertension [J]. Hypertension, 2007, 25: 1105–1187.
[13]	中国高血压防治指南(2018年修订版) [J]. 中国心血管杂志, 2019, 24(1): 24–56. Guidelines for the prevention and treatment of hypertension in China (2018 revision) [J]. Chinese Journal of Cardiovascular Sciences, 2019, 24(1): 24–56.
[14]	MOENS A I. Die pulskurve[M]. Leiden, the Netherlands: Brill, 1878.
[15]	KORTEWEG D J. Ueber die fortpflanzungsgeschwindigkeit des schalles in elastischen röhren [J]. Annalen der Physik Chemie, 1878, 241(12): 525–542. DOI: 10.1002/andp.18782411206.
[16]	HUGHES D J, BABBS C F, GEDDES L A, et al. Measurements of Young’s modulus of elasticity of the canine aorta with ultrasound [J]. Ultrason Imaging, 1979, 1(4): 356–367. DOI: 10.1177/016173467900100406.
[17]	HUGHES D J, FEARNOT N E, BABBS C F, et al. Continuous measurement of aortic radius change in vivo with an intra-aortic ultrasonic catheter [J]. Medical and Biological Engineering and Computing, 1985, 23(3): 197–202. DOI: 10.1007/BF02446857.
[18]	MA Y, CHOI J, HOURLIER-FARGETTE A, et al. Relation between blood pressure and pulse wave velocity for human arteries [J]. Proceedings of the National Academy of Sciences, 2018, 115(44): 11144–11149. DOI: 10.1073/pnas.1814392115.
[19]	FUNG Y C. Biomechanics: circulation [M]. New York, USA: Springer, 1997.
[20]	TIMOSHENKO S P, GOODIER J N. Theory of elasticity [M]. 3rd ed. London, UK: McGraw-Hill Book Company, 1970.
[21]	王礼立, 胡时胜, 杨黎明, 等. 材料动力学 [M]. 合肥: 中国科学技术大学出版社, 2017. WANG L L, HU S S, YANG L M, et al. Dynamics of materials [M]. Hefei, Anhui, China: Press of University of Science and Technology of China, 2017.
[22]	HU C S, CHUNG Y F, YEH C C, et al. Temporal and spatial properties of arterial pulsation measurement using pressure sensor array [J]. Evidence-Based Complementary and Alternative Medicine: eCAM, 2012, 2012(1): 745127–745135. DOI: 10.1155/2012/745127.