A Nonlinear Multi-compartment Lung Model for Optimization of Breathing Airflow Pattern_Journal of Biomedical Engineering

Authors：

 CAIYongming , GULingyan , CHENFuhua

College of Medical Information Engineering, Guangdong Pharmaceutical University, Guangzhou 510006, China;

Corresponding author：

CAIYongming, Email: bruce_cai@163.com

Keywords：

simulated lung; multi-compartment lung; mechanical ventilation; breathing pattern

DOI：

10.7507/1001-5515.20150006

Video：

Export PDF Favorites Scan Get Citation

Abstract Full text Figures/Tables Video References Cited by

It is difficult to select the appropriate ventilation mode in clinical mechanical ventilation. This paper presents a nonlinear multi-compartment lung model to solve the difficulty. The purpose is to optimize respiratory airflow patterns and get the minimum of the work of inspiratory phrase and lung volume acceleration, minimum of the elastic potential energy and rapidity of airflow rate changes of expiratory phrase. Sigmoidal function is used to smooth the respiratory function of nonlinear equations. The equations are established to solve nonlinear boundary conditions BVP, and finally the problem was solved with gradient descent method. Experimental results showed that lung volume and the rate of airflow after optimization had good sensitivity and convergence speed. The results provide a theoretical basis for the development of multivariable controller monitoring critically ill mechanically ventilated patients.

Citation： CAIYongming, GULingyan, CHENFuhua. A Nonlinear Multi-compartment Lung Model for Optimization of Breathing Airflow Pattern. Journal of Biomedical Engineering, 2015, 32(1): 32-37. doi: 10.7507/1001-5515.20150006 Copy

1.	CAMPBELL D, BROWN J. The electrical analog of the lung[J]. Br J Anaesth, 1963, 35(11): 684-693.
2.	WALD A A, MURPHY T W, MAZZIA V D. A theoretical study of controlled ventilation[J]. IEEE Trans Biomed Eng, 1968, 15(4): 237-248.
3.	OTIS A B, FENN W O, RAHN H. Mechanics of breathing in man[J]. J Appl Physiol, 1950, 11(2): 592-607.
4.	YAMASHIRO S M, GRODINS F S. Optimal regulation of respiratory airflow[J]. J Appl Physiol, 1971, 30(5): 597-602.
5.	HAMALAINEN R P, SIPILA A. Optimal control of inspiratory airflow in breathing[J]. Optimal Control Applications and Methods, 1984, 5(2): 177-191.
6.	SUNDARESAN A, YUTA T, HANN C E, et al. A minimal model of lung mechanics and model-based markers for optimizing ventilator treatment in ARDS patients[J]. Comput Methods Programs Biomed, 2009, 95(2): 166-180.
7.	陈夫华, 蔡永铭, 陈华艳.基于气体定律的模拟肺的数学模型[J].数理医药学杂志, 2011, 24(2):127-129.
8.	CHELLABOINA V S, HADDAD W M, LI H, et al. Limit cycle stability analysis and adaptive control of a multicompartment model for a pressure-limited respirator and lung mechanics system[J]. Int J Control, 2010, 83(5): 940-955.
9.	HAMALAINEN R P, VILJANEN A. A hierarchical goal seeking model of the control of breathing I-II[J]. Biol Cybern, 1978, 29(3): 151-166.
10.	MEAD J. Control of respiratory frequency[J]. J Appl Physiol, 1960, 15(3): 325-336.
11.	唐睿, 葛斌, 严荣国, 等.基于USB2.0数据采集系统的新型模拟肺设计研究[J].微计算机信息, 2011, 27(3):46-47.
12.	徐梁, 罗哲.可调节模拟肺的设计[J].中国医疗器械杂志, 2011, 35(2):108-109.
13.	张盛华, 秦任甲.呼吸过程胸膜腔内压和肺泡壁压强的产生与变化规律[J].生物医学工程学杂志, 2012, 29(2):264-266.
14.	王伟, 葛斌.基于活塞运动的主动模拟肺的研究与设计[J].中国医疗器械杂志, 2012, 36(3):199-201.
15.	谢新武, 孙秋明, 倪爱娟, 等.人体胸廓心肺复苏胸外按压力学模型及其模拟研究进展[J].生物医学工程学杂志, 2009, 26(3):681-684.
16.	梁洪超, 葛斌, 严荣国, 等.一种新型模拟肺模型的实验研究[J].传感器与微系统, 2010, 29(7):11-13.
17.	朱红, 蔡洪流, 方强.模拟肺研究容量控制通气辅用自动变流的意义[J].浙江预防医学, 2005, 17(9):11-13.
18.	赖伟, 谭小苹, 裴觉民.人体肺支气管树内的气流分布研究[J].生物医学工程学杂志, 2004, 21(2):229-232.
19.	黄秀义, 谭小苹, 裴觉民.右肺支气管树的三维分形模拟[J].生物医学工程学杂志, 2004, 21(3):377-380.
20.	蔡洪流, 朱红, 方强.模拟肺容量控制通气辅用自动变流呼吸力学变化研究[J].浙江医学, 2004, 26(8):5-7.
21.	何筱毅.肺气道内气体流动的动力学机理[J].国际生物医学工程杂志, 1988, 11(1):65.
22.	刘晓琳, 蔡永铭.智智能模拟肺的嵌入式单片机控制系统设计能模拟肺的嵌入式单片机控制系统设计[J].中国数字医学, 2013, 8(2):36-39.
23.	SWAN J, CLARK A R, TAWHAI M H. A computational model of the topographic distribution of ventilation in healthy human lungs annalisa[J]. J Theor Biol, 2012, 300(5): 222-231.
24.	STEIMLE K L, MOGENSEN M L, KARBING D S, et al. A model of ventilation of the healthy human lung[J]. Comput Methods Programs Biomed, 2011, 101(2): 144-155.
25.	REYNOLDS A, BARD ERMENTROUT G, CLERMONT G. A mathematical model of pulmonary gas exchange under inflammatory stress[J]. J Theor Biol, 2010, 264(2): 161-173.

1. CAMPBELL D, BROWN J. The electrical analog of the lung[J]. Br J Anaesth, 1963, 35(11): 684-693.
2. WALD A A, MURPHY T W, MAZZIA V D. A theoretical study of controlled ventilation[J]. IEEE Trans Biomed Eng, 1968, 15(4): 237-248.
3. OTIS A B, FENN W O, RAHN H. Mechanics of breathing in man[J]. J Appl Physiol, 1950, 11(2): 592-607.
4. YAMASHIRO S M, GRODINS F S. Optimal regulation of respiratory airflow[J]. J Appl Physiol, 1971, 30(5): 597-602.
5. HAMALAINEN R P, SIPILA A. Optimal control of inspiratory airflow in breathing[J]. Optimal Control Applications and Methods, 1984, 5(2): 177-191.
6. SUNDARESAN A, YUTA T, HANN C E, et al. A minimal model of lung mechanics and model-based markers for optimizing ventilator treatment in ARDS patients[J]. Comput Methods Programs Biomed, 2009, 95(2): 166-180.
7. 陈夫华, 蔡永铭, 陈华艳.基于气体定律的模拟肺的数学模型[J].数理医药学杂志, 2011, 24(2):127-129.
8. CHELLABOINA V S, HADDAD W M, LI H, et al. Limit cycle stability analysis and adaptive control of a multicompartment model for a pressure-limited respirator and lung mechanics system[J]. Int J Control, 2010, 83(5): 940-955.
9. HAMALAINEN R P, VILJANEN A. A hierarchical goal seeking model of the control of breathing I-II[J]. Biol Cybern, 1978, 29(3): 151-166.
10. MEAD J. Control of respiratory frequency[J]. J Appl Physiol, 1960, 15(3): 325-336.
11. 唐睿, 葛斌, 严荣国, 等.基于USB2.0数据采集系统的新型模拟肺设计研究[J].微计算机信息, 2011, 27(3):46-47.
12. 徐梁, 罗哲.可调节模拟肺的设计[J].中国医疗器械杂志, 2011, 35(2):108-109.
13. 张盛华, 秦任甲.呼吸过程胸膜腔内压和肺泡壁压强的产生与变化规律[J].生物医学工程学杂志, 2012, 29(2):264-266.
14. 王伟, 葛斌.基于活塞运动的主动模拟肺的研究与设计[J].中国医疗器械杂志, 2012, 36(3):199-201.
15. 谢新武, 孙秋明, 倪爱娟, 等.人体胸廓心肺复苏胸外按压力学模型及其模拟研究进展[J].生物医学工程学杂志, 2009, 26(3):681-684.
16. 梁洪超, 葛斌, 严荣国, 等.一种新型模拟肺模型的实验研究[J].传感器与微系统, 2010, 29(7):11-13.
17. 朱红, 蔡洪流, 方强.模拟肺研究容量控制通气辅用自动变流的意义[J].浙江预防医学, 2005, 17(9):11-13.
18. 赖伟, 谭小苹, 裴觉民.人体肺支气管树内的气流分布研究[J].生物医学工程学杂志, 2004, 21(2):229-232.
19. 黄秀义, 谭小苹, 裴觉民.右肺支气管树的三维分形模拟[J].生物医学工程学杂志, 2004, 21(3):377-380.
20. 蔡洪流, 朱红, 方强.模拟肺容量控制通气辅用自动变流呼吸力学变化研究[J].浙江医学, 2004, 26(8):5-7.
21. 何筱毅.肺气道内气体流动的动力学机理[J].国际生物医学工程杂志, 1988, 11(1):65.
22. 刘晓琳, 蔡永铭.智智能模拟肺的嵌入式单片机控制系统设计能模拟肺的嵌入式单片机控制系统设计[J].中国数字医学, 2013, 8(2):36-39.
23. SWAN J, CLARK A R, TAWHAI M H. A computational model of the topographic distribution of ventilation in healthy human lungs annalisa[J]. J Theor Biol, 2012, 300(5): 222-231.
24. STEIMLE K L, MOGENSEN M L, KARBING D S, et al. A model of ventilation of the healthy human lung[J]. Comput Methods Programs Biomed, 2011, 101(2): 144-155.
25. REYNOLDS A, BARD ERMENTROUT G, CLERMONT G. A mathematical model of pulmonary gas exchange under inflammatory stress[J]. J Theor Biol, 2010, 264(2): 161-173.

Journal of Biomedical Engineering

A Nonlinear Multi-compartment Lung Model for Optimization of Breathing Airflow Pattern

Abstract Full text Figures/Tables Video References Cited by

Previous Article

Next Article

Format

Content