摘要
本研究以「徑向共振理論」為基礎，將生理上造成血管伸長的主動脈軸向張力，利用彈性管拉長來進行模擬研究。測量不同張力管子的波速、不同材質加張力的管子相接，其探討天然頻、並研究張力變化跟管子橫向振動動能的關係。
實驗是以電磁鐵的台座輸出脈衝波進入長直管系統模擬心臟輸出;以各種尺寸之乳膠管(Latex)及豬的主動脈作為系統主管;使用水槽提供系統靜壓模擬動脈中的靜壓;並拉長主管模擬在生理上的軸向張力。脈衝波輸入後由壓力轉換器量測壓力隨時間的變化經傅利葉頻譜分析後再與理論比較。
研究的結果證實了波速、天然頻會隨張力大小而變。而我們導入的新參數「動脈壁的橫向振動動能」，經由乳膠管及豬主動脈的模擬實驗也發現了在某定伸長量時有最大的「動脈壁的橫向振動動能」，也就是有最好的能量傳遞。

參考資料
1.Harvey,W(1628),Movement of the heart and blood in animals,Frankurt:William Fitzer
2. McDonald.D.A .1974: Blood flow in arteries. 2nd edn.London:Edward Arnold
3. Milnor W.R:Hemodynamics(2nd ed) WILLIAMS&WILKINS.(1989)
4. Campbell KB. Lee LC. Frasch HF. Noordergraaf A Pulse reflection sites and effective length of the arterial system. Am J Physiol 1989 Jun;256(6 Pt 2):H1684-9
5.Milnor,W.R. ,Bertrsm,C.D.(1978).The Relation between arterial viscoelasticity and wave propagation in the canine Femoral Artery in vivo.Cir.Res.43:870-879
6.Milnor,W.R.,Conti,C.R.,Walker,W.E.,and Milnor,W.R.(1977b),Input impedence of the systemic circulation in man.Circ.Res.40:451-458.
7. Nichols WW. Avolio AP. O'Rourke MF Ascending aortic impedance patterns in the kangaroo: their explanation and relation to pressure waveforms. Circ Res 1986 Sep;59(3):247-55
8.WangLin,Y.Y. ,Chang,S.L.,Wu,Y.E.,Hsu,T.L.,Wang,W.K.(1991).”Resonance”The missing phenomenon in Hemodynomics.Cir.Res.69:246-248
9. 陳忠誠:壓力波在血管中行進的模擬與探討. 國立台灣師範大學物理研究所.碩士論文.1994
10.Bergel D.H.,The static elastic properties of the arterial wall,J.of Physiol.1961;156 445-57
11. Jackson ZS, Gotlieb AI, Langille BL. Wall Tissue Remodeling Regulates Longitudinal Tension in Arteries. Circ Res. 2002; 90: 918 - 925.
12. Lin Wang YY, Jan MY, Shyu CS,Chiang CA.Wang WK.The natural frequencies of the arterial system and their relation to the heart rate.IEEE Trans Biomed Eng.2004;51(1):193-195
13.Benetos A,Rudnichi A,Safar M,Guize L.Pulse pressure and cardiovascular mortality in normotensive and hypertensive subjects.Hypertension.1998;32:560-564
14.Laurent S,Boutouyrie P,Asmar R,Gautier I,Laloux B ,Guize L,Ducimetiere P,Benetos A.Aortc stiffness is an independent predictor of all-case and cardiovascular mortality in hypertensive patients.Hypertension,2001;vol.37(5);1236-1241
15.O’Leary DH,Polak JF,Kronmal RA,Manolio TA,Burke GL,Wolfson SK Jr.Carotid-artery intima and media thickness as arisk factor for myocardial infarction and stroke in older adults:Cardiovascular Health study collaborative research group.EngIJ Med.,1999;340:14-22
16.Peterson LH,Jensen RE,J.Parnell J.Mechanical properties of arteries in vivo,Circ Res.1960;Vol.8:622-639
17. Jan M Y, Hsin H, Bau J G and Lin Wang Y Y 2004 One important area gradient force has been omitted in the Moens and Korteweg’s equation Proc. of the 26th Annual Int. Conf. of the IEEE EMBS ,2004; 3681-3683
18. 賴文哲:主動脈振動與天然頻率之探討. 國立台灣師範大學物理研究所.碩士論文.1996
19. 黃啟裕:主動脈血壓波與血流波的模擬與分析.國立台灣大學物理研究所.碩士論文.1998
20. 徐清秀:彈性血管壓力波動方程式之初步應用. 國立台灣師範大學物理研究所.碩士論文.2000
21. Lin Wang YY, Wang GC, Chen YH, Guo DJ, Wang WK. The eccentric position of the heart in the mammalian body and optimal energy transfer in single tube models. Physiological Measurement .2005; 26:99-108
22. Harvey,W. (1628), Movement of the heart and blood in animals, Frank: William Fitzer
23. O'Rourke MF. Avolio AP Pulsatile flow and pressure in human systemic arteries. Studies in man and in a multibranched model of the human systemic arterial tree. Circ Res 1980 Mar;46(3):363-372
24. Lamb,H.(1932) Hydrodynamics, ed 6. Cambridge: University Press. (Reprinted 1945 by Dover Publications, New Yourk.)
25. Patel, D. J,Janicki, J. S.,and Carew, T. E. (1969). Static anitropic elastic Properties of the aorta in living dog. Circ. Res. 25: 765-769
26.姜智昂:動脈系統之頻率匹配.國立台灣大學電機研究所.碩士論文.2001
27.YY Lin Wang,MY Jan,GC Wang,JG Bau and WK Wang “Pressure pulse velocity is related to the longitudinal elastic properties of the artery”,PHYSIOLOGICAL MEASUREMENT,2004;1397-1403