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：

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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

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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.	陳夫華, 蔡永銘, 陳華艷.基于氣體定律的模擬肺的數學模型[J].數理醫藥學雜志, 2011, 24(2):127-129.
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10.	MEAD J. Control of respiratory frequency[J]. J Appl Physiol, 1960, 15(3): 325-336.
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12.	徐梁, 羅哲.可調節模擬肺的設計[J].中國醫療器械雜志, 2011, 35(2):108-109.
13.	張盛華, 秦任甲.呼吸過程胸膜腔內壓和肺泡壁壓強的產生與變化規律[J].生物醫學工程學雜志, 2012, 29(2):264-266.
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15.	謝新武, 孫秋明, 倪愛娟, 等.人體胸廓心肺復蘇胸外按壓力學模型及其模擬研究進展[J].生物醫學工程學雜志, 2009, 26(3):681-684.
16.	梁洪超, 葛斌, 嚴榮國, 等.一種新型模擬肺模型的實驗研究[J].傳感器與微系統, 2010, 29(7):11-13.
17.	朱紅, 蔡洪流, 方強.模擬肺研究容量控制通氣輔用自動變流的意義[J].浙江預防醫學, 2005, 17(9):11-13.
18.	賴偉, 譚小蘋, 裴覺民.人體肺支氣管樹內的氣流分布研究[J].生物醫學工程學雜志, 2004, 21(2):229-232.
19.	黃秀義, 譚小蘋, 裴覺民.右肺支氣管樹的三維分形模擬[J].生物醫學工程學雜志, 2004, 21(3):377-380.
20.	蔡洪流, 朱紅, 方強.模擬肺容量控制通氣輔用自動變流呼吸力學變化研究[J].浙江醫學, 2004, 26(8):5-7.
21.	何筱毅.肺氣道內氣體流動的動力學機理[J].國際生物醫學工程雜志, 1988, 11(1):65.
22.	劉曉琳, 蔡永銘.智智能模擬肺的嵌入式單片機控制系統設計能模擬肺的嵌入式單片機控制系統設計[J].中國數字醫學, 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. 陳夫華, 蔡永銘, 陳華艷.基于氣體定律的模擬肺的數學模型[J].數理醫藥學雜志, 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, 嚴榮國, 等.基于USB2.0數據采集系統的新型模擬肺設計研究[J].微計算機信息, 2011, 27(3):46-47.
12. 徐梁, 羅哲.可調節模擬肺的設計[J].中國醫療器械雜志, 2011, 35(2):108-109.
13. 張盛華, 秦任甲.呼吸過程胸膜腔內壓和肺泡壁壓強的產生與變化規律[J].生物醫學工程學雜志, 2012, 29(2):264-266.
14. 王偉, 葛斌.基于活塞運動的主動模擬肺的研究與設計[J].中國醫療器械雜志, 2012, 36(3):199-201.
15. 謝新武, 孫秋明, 倪愛娟, 等.人體胸廓心肺復蘇胸外按壓力學模型及其模擬研究進展[J].生物醫學工程學雜志, 2009, 26(3):681-684.
16. 梁洪超, 葛斌, 嚴榮國, 等.一種新型模擬肺模型的實驗研究[J].傳感器與微系統, 2010, 29(7):11-13.
17. 朱紅, 蔡洪流, 方強.模擬肺研究容量控制通氣輔用自動變流的意義[J].浙江預防醫學, 2005, 17(9):11-13.
18. 賴偉, 譚小蘋, 裴覺民.人體肺支氣管樹內的氣流分布研究[J].生物醫學工程學雜志, 2004, 21(2):229-232.
19. 黃秀義, 譚小蘋, 裴覺民.右肺支氣管樹的三維分形模擬[J].生物醫學工程學雜志, 2004, 21(3):377-380.
20. 蔡洪流, 朱紅, 方強.模擬肺容量控制通氣輔用自動變流呼吸力學變化研究[J].浙江醫學, 2004, 26(8):5-7.
21. 何筱毅.肺氣道內氣體流動的動力學機理[J].國際生物醫學工程雜志, 1988, 11(1):65.
22. 劉曉琳, 蔡永銘.智智能模擬肺的嵌入式單片機控制系統設計能模擬肺的嵌入式單片機控制系統設計[J].中國數字醫學, 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

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