A correction method for calculating resistance of Westerhof ’s resistor_Journal of Biomedical Engineering

Authors：

YANG Yunshu ,  ZOU Yuanwen

Department of Biomedical Engineering, College of Materials Science & Engineering, Sichuan University, Chengdu 610065, P.R.China;

Corresponding author：

ZOU Yuanwen, Email: zyw@scu.edu.cn

Keywords：

mock circulatory system; Westerhof ’s resistor; Poiseuille’s law; resistance; simulation

DOI：

10.7507/1001-5515.201703020

Video：

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Abstract Full text Figures/Tables Video References Cited by

The objective of the mock circulatory system (MCS) is to construct the characteristics of cardiovascular hemodynamics. Westerhof ’s resistor that often regarded as the laminar flow resistance in the MCS, is commonly used to simulate the peripheral resistance of the cardiovascular system. However, the theoretical calculation value of fluid resistance of the Westerhof ’s resistor shows distinguished difference with the actual needed value. If the theoretical resistance is regarded as the actual needed one and be used directly in the experiment, the experimental accuracy would not be acceptable. In order to improve the accuracy, an effective correction method for calculating the resistance of Westerhof ’s resistor was proposed in this paper. Simulation software was also developed to compute accurately the capillary number, total length and resistance. The results demonstrate the proposed method is able to reduce the difficulty and complexity of the design of the resistor, which would obviously increase the manufactured precision of the Westerhof ’s resistor. Simulation software would provide great support to the construction of various MCSs.

Citation： YANG Yunshu, ZOU Yuanwen. A correction method for calculating resistance of Westerhof ’s resistor. Journal of Biomedical Engineering, 2017, 34(4): 627-631. doi: 10.7507/1001-5515.201703020 Copy

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6.	Tbowles C, Sshah S, Kazunobunishimura, et al. Development of mock circulation models for the assessment of counterpulsation systems. Cardiovasc Res, 1991, 25(11): 901-908.
7.	王成, 王惠荪, 金永安, 等. 利用简单多普勒流量计长期监测左心辅助泵的搏出量的探讨. 生物医学工程学杂志, 1987, 4(3): 170-177.
8.	Sharp M K, Dharmalingham R K. Development of a hydraulic model of the human systemic circulation. ASAIO J, 2000, 45(6): 535-540.
9.	Westerhof N, Stergiopulos N, Noble M I M. Snapshots of Hemodynamics. America: Springer US, 2005: 14-39.
10.	Westerhof N, Elzinga G, Sipkema P. An artificial arterial system for pumping hearts. J Appl Physiol, 1971, 31(5): 776-781.
11.	Wolters B J B M, Emmer M, Rutten M C M, et al. Assessment of endoleak significance after endovascular repair of abdominal aortic aneurysms: A lumped parameter model. Med Eng Phys, 2007, 29(10): 1106-1118.
12.	Lanzarone E, Ruggeri F. Inertance estimation in a lumped-parameter hydraulic simulator of human circulation. J Biomech Eng, 2013, 135(6): 61012-61017.
13.	Lanzarone E, Vismara R, Fiore G B. A new pulsatile volumetric device with biomorphic valves for the in vitro study of the cardiovascular system. Artif Organs, 2009, 33(12): 1048-1062.
14.	Westerhof N, Lankhaar J-W, Westerhof B E. The arterial Windkessel. Med Biol Eng Comput, 2009, 47(2): 131-141.
15.	Ferrari G, De Lazzari C, Kozarski M, et al. A hybrid mock circulatory system: testing a prototype under physiologic and pathological conditions. ASAIO J, 2002, 48(5): 487-494.
16.	Kung E O, Les A S, Medina F, et al. In vitro validation of finite-element model of AAA hemodynamics incorporating realistic outlet boundary conditions. J Biomech Eng, 2011, 133(4): 041003.
17.	陈君楷. 心血管血流动力学. 成都: 四川教育出版社, 1990: 436-452.

1. Camp T A, Stewart K C, Figliola R S, et al. In vitro study of flow regulation for pulmonary insufficiency. J Biomech Eng, 2007, 129(2): 284-288.
2. 刘一, 杨明, 李世阳, 等. 简易模拟心血管系统的设计与控制. 生物医学工程学杂志, 2010, 27(1): 165-169.
3. Yoffe B, Vaysbeyn I, Urin Y, et al. Experimental study of a novel suture-less aortic anastomotic device. Eur J Vasc Endovasc Surg, 2007, 34(1): 79-86.
4. Lanzarone E, Vismara R, Fiore G B. Response to the letter to the editor: a new pulsatile volumetric device with biomorphic valves for the in vitro study of the cardiovascular system by M. B. Munir et al. Artificial Organs, 2011, 35(1): 97-98.
5. Ando M, Nishimura T, Takewa Y, et al. What is the ideal off-test trial for continuous-flow ventricular-assist-device explantation? Intracircuit back-flow analysis in a mock circulation model. J Artif Organs, 2011, 14(1): 70-73.
6. Tbowles C, Sshah S, Kazunobunishimura, et al. Development of mock circulation models for the assessment of counterpulsation systems. Cardiovasc Res, 1991, 25(11): 901-908.
7. 王成, 王惠荪, 金永安, 等. 利用简单多普勒流量计长期监测左心辅助泵的搏出量的探讨. 生物医学工程学杂志, 1987, 4(3): 170-177.
8. Sharp M K, Dharmalingham R K. Development of a hydraulic model of the human systemic circulation. ASAIO J, 2000, 45(6): 535-540.
9. Westerhof N, Stergiopulos N, Noble M I M. Snapshots of Hemodynamics. America: Springer US, 2005: 14-39.
10. Westerhof N, Elzinga G, Sipkema P. An artificial arterial system for pumping hearts. J Appl Physiol, 1971, 31(5): 776-781.
11. Wolters B J B M, Emmer M, Rutten M C M, et al. Assessment of endoleak significance after endovascular repair of abdominal aortic aneurysms: A lumped parameter model. Med Eng Phys, 2007, 29(10): 1106-1118.
12. Lanzarone E, Ruggeri F. Inertance estimation in a lumped-parameter hydraulic simulator of human circulation. J Biomech Eng, 2013, 135(6): 61012-61017.
13. Lanzarone E, Vismara R, Fiore G B. A new pulsatile volumetric device with biomorphic valves for the in vitro study of the cardiovascular system. Artif Organs, 2009, 33(12): 1048-1062.
14. Westerhof N, Lankhaar J-W, Westerhof B E. The arterial Windkessel. Med Biol Eng Comput, 2009, 47(2): 131-141.
15. Ferrari G, De Lazzari C, Kozarski M, et al. A hybrid mock circulatory system: testing a prototype under physiologic and pathological conditions. ASAIO J, 2002, 48(5): 487-494.
16. Kung E O, Les A S, Medina F, et al. In vitro validation of finite-element model of AAA hemodynamics incorporating realistic outlet boundary conditions. J Biomech Eng, 2011, 133(4): 041003.
17. 陈君楷. 心血管血流动力学. 成都: 四川教育出版社, 1990: 436-452.

Journal of Biomedical Engineering

A correction method for calculating resistance of Westerhof ’s resistor

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