Linear and nonlinear viscoelastic modeling of aorta and carotid pressure-area dynamics under in vivo and ex vivo conditions

Annals of Biomedical Engineering

Volumn 39, Issue 5, 2011, Pages 1438-1456

  Valdez Jasso, Daniela ^a   Bia, Daniel ^b   Zócalo, Yanina ^b   Armentano, Ricardo L ^b   Haider, Mansoor A ^a   Olufsen, Mette S ^a  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

^b UNIVERSIDAD DE LA REPÚBLICA   (Uruguay)

Author keywords

Arterial wall properties; Carotid artery; Mathematical modeling; Nonlinear elasticity; Thoracic descending aorta; Viscoelasticity

Indexed keywords

ARTERIAL WALL; CAROTID ARTERY; MATHEMATICAL MODELING; NONLINEAR ELASTICITY; THORACIC DESCENDING AORTA;

BIOMECHANICS; BLOOD PRESSURE; BLOOD VESSELS; COMPUTER SIMULATION; ELASTICITY; FORECASTING; GRAFTS; ISOMERS; NONLINEAR ANALYSIS; PARAMETER ESTIMATION; REGRESSION ANALYSIS; VISCOELASTICITY; VISCOSITY;

PHYSIOLOGICAL MODELS;

ANIMAL; AORTA; ARTICLE; BIOLOGICAL MODEL; BLOOD PRESSURE; CAROTID ARTERY; ELASTICITY; FEMALE; HUMAN; MALE; PHYSIOLOGY; SHEEP; THORACIC AORTA;

ANIMALS; AORTA; AORTA, THORACIC; BLOOD PRESSURE; CAROTID ARTERIES; ELASTICITY; FEMALE; HUMANS; MALE; MODELS, CARDIOVASCULAR; SHEEP;

EID: 79954449795     PISSN: 00906964     EISSN: 15739686     Source Type: Journal    
DOI: 10.1007/s10439-010-0236-7     Document Type: Article

References (48)

1. RL Armentano JG Barra J Levenson A Simon RH Pichel 1995 Arterial wall mechanics in conscious dogs: assessment of viscous, inertial, and elastic moduli to characterize aortic wall behavior Circ Res 76 468 478 7859392 1:CAS:528:DyaK2MXkt1Wrsr8%3D
2. RL Armentano JG Barra DB Santana FM Pessana S Graf D Craiem LM Brandani HP Baglivo RA Sanchez 2006 Smart damping modulation of carotid wall energetics in human hypertension: effects of angiotensin-converting enzyme inhibition Hypertension 47 3 384 390 16461847 10.1161/01.HYP.0000205915.15940.15 1:CAS:528:DC%2BD28Xht1Cmt70%3D (Pubitemid 43740279)
3. RL Armentano JG Barra FM Pessana DO Craiem S Graf DB Santana RA Sanchez 2007 Smart smooth muscle spring-dampers. Smooth muscle smart filtering helps to more efficiently protect the arterial wall IEEE Eng. Med Biol Mag 26 1 62 70 17278774 10.1109/MEMB.2007.289123 (Pubitemid 46188192)
4. Banks, H. T., M. Davidian, Jr. J. R. Samuels, and K. L. Sutton. An inverse problem statistical methodology summary. In: Mathematical and Statistical Estimation Approaches in Epidemiology, edited by G. Chowell, J. M. Hyman, L. M. A. Bettencourt, C. Castillo-Chavez. Amsterdam: Springer, 2009, pp. 249-302.
5. JG Barra RL Armentano J Levenson A Simon RH Pichel 1993 Assessment of smooth muscle contribution to descending thoracic aortic elastic mechanics in conscious dogs Circ Res 76 468 478
6. D Bia I Aguirre Y Zócalo L Devera E Fischer 2005 Regional differences in viscosity, elasticity, and wall buffering function in systemic arteries: pulse wave analysis of the arterial pressure-diameter relationship Rev Esp Cardiol 58 167 174 15743563 10.1157/13071891 (Pubitemid 40439575)
7. D Bia Y Zócalo RL Armentano J. Camus E Forteza E Cabrera-Fischer 2008 Increased reversal and oscillatory shear stress cause smooth muscle contraction-dependent changes in sheep aortic dynamics: role in aortic balloon pump circulatory support Acta Physiol (Oxf) 192 487 503 10.1111/j.1748-1716. 2007.01765.x 1:CAS:528:DC%2BD1cXkt1Cmur4%3D (Pubitemid 351322723)
8. D. Bia Y. Zócalo R.L. Armentano E. de Forteza E. Cabrera-Fischer 2007 Acute increase in reversal blood flow during counterpulsation is associated with vasoconstriction and changes in the aortic mechanics Conf. Proc. IEEE Eng. Med. Biol. Soc. 2007 3986 3989 18002873
9. D Bia Y Zócalo RL Armentano S Laza D Craiem M Saldías I Alvarez 2009 Non-invasive biomechanical evaluation of implanted human cryopreserved arterial homografts: comparison with pre-implanted cryografts and arteries from human donors and recipients Ann Biomed Eng 37 7 1273 1286 19381813 10.1007/s10439-009-9693-2
10. P Boutouyrie Y Bézie P Lacolley P Challande P Chamiot-Clerc A Benetos JF de la Faverie M Safar S Laurent 1997 In vivo in vitro comparison of rat abdominal aorta wall viscosity Influence of endothelial function Arterioscler Thromb Vasc Biol 17 7 1346 55 9261266 1:STN:280: DyaK2svgsVGntw%3D%3D (Pubitemid 27329859)
11. AC Burton 1954 Relation of structure to function of the tissues of the wall of blood vessels Am Physiol Soc 4 619 642
12. EI Cabrera-Fischer D Bia JM Camus Y Zócalo E de Forteza RL Armentano 2006 Adventitia-dependent mechanical properties of braciocephalic ovine arteries in in vivo and in vitro studies Acta Physiol (Oxf) 188 103 111 10.1111/j.1748-1716.2006.01614.x 1:CAS:528:DC%2BD28XhtVCnsrzF (Pubitemid 44337807)
13. EI Cabrera-Fischer D Bia Y Zócalo RL Armentano 2009 Smooth muscle-dependent changes in aortic wall dynamics during intra-aortic counterpulsation in an animal model of acute heart failure Int J Artif Organs 32 354 361 19670187
14. EI Cabrera-Fischer DB Santana Y Zócalo J Camus E de Forteza RL Armentano 2010 Effects of removing the adventitia on the mechanical properties of ovine femoral arteries in vivo and in vitro Circ J 74 5 1014 22 10.1253/circj.CJ-09-0496
15. Casella, G., and R. L. Berger. Statistical Inference. Duxbury: Thomson Learning, 2002.
16. D Craiem G Chironi J Gariepy J Miranda-Lacet J Levenson J Simon 2007 New monitoring software for larger clinical application of brachial artery flow-mediated vasodilatation measurements J Hypertesns 25 133 140 10.1097/HJH.0b013e3280109287 1:CAS:528:DC%2BD28Xht1OhtrjM (Pubitemid 44885674)
17. Davidian, M., and D. Giltinan. Nonlinear Models for Repeated Measurements Data. London: Chapman and Hall, 1998.
18. K DeVault P Gremaud V Novak MS Olufsen G Vernieres P Zhao 2008 Blood flow in the circle of Willis: modeling and calibration Multiscale Model Simul: SIAM Int J 7 888 909 10.1137/07070231X
19. Fung, Y. C. Biomechanics: Mechanical Properties of Living Tissues. New York: Springer, 1993.
20. Fung, Y. C. Biomechanics: Circulation. New York: Springer, 1996.
21. LG Gamero RL Armentano JG Barra A Simon J Levenson 2001 Identification of arterial wall dynamics in conscious dogs Exp Physiol 86 519 528 11445831 10.1113/eph8602172 1:STN:280:DC%2BD38%2FivVWrsQ%3D%3D (Pubitemid 32694644)
22. LG Gamero RL Armentano J Levenson 2002 Arterial wall diameters and viscoelastic variability Comput Cardiol 29 513 516
23. S Graf J Gariepy M Massonneau RL Armentano S Mansour JG Barra A Simon J Levenso 1999 Experimental and clinical validation of arterial diameter waveform and intimal media thickness obtained from B-mode ultrasound image processing Ultrasound Med Biol 25 1353 1363 10626622 10.1016/S0301-5629(99)00089-7 1:STN:280:DC%2BD3c%2FptVSnug%3D%3D
24. Guyton, A. C., and J. E. Hall. Textbook of Medical Physiology, 9th ed. Philadelphia, PA: W.B. Saunders Company, 1996.
25. R Holenstein P Niederer M Anliker 1980 A viscoelastic model for use in predicting arterial pulse waves J Biomech Eng 102 318 325 6965195 10.1115/1.3138229 1:STN:280:DyaL1c7ntlGhsg%3D%3D
26. GA Holzapfel TC Gasser RW Ogden 2001 A new constitutive framework for arterial wall mechanics and a comparative study of material models J Elast 61 1 48 10.1023/A:1010835316564 (Pubitemid 32732278)
27. GA Holzapfel TC Gasser M Stadler 2002 A structural model for the viscoelastic behavior of arterial walls: continuum formulation and finite element simulation Eur J Mech A 21 441 463 10.1016/S0997-7538(01)01206-2
28. Horgan, C. O., and G. Saccomandi. A Description of Arterial Wall Mechanics Using Limiting Chain Extensibility Constitutive Models, vol. 1. Berlin: Springer, 2003, pp. 251-266.
29. Humphrey, J. D. Cardiovascular Solid Mechanics: Cells, Tissues, and Organs. New York: Springer, 2002.
30. M Kawasaki Y Ito H Yokoyama M Arai G Takemura A Hara Y Ichiki H Takatsu S Minatoguchi H Fujiwara 2005 Assessment of arterial medical characteristics in human carotid arteries using integrated backscatter ultrasound and its histological implications Atherosclerosis 180 145 154 15823287 10.1016/j.atherosclerosis.2004.11.018 1:CAS:528:DC%2BD2MXjt1Kiu7c%3D
31. R Kelly C Hayward J Ganis J Daley A Avolio M O'Rourke 1989 Non-invasive registration of arterial pressure pulse waveform using high-fidelity applanation tonometry J Vasc Med Biol 3 142 149
32. TR Kohler TR Kirkman 1999 Dialysis access failure: a sheep model of rapid stenosis J Vasc Surg 30 744 751 10514214 10.1016/S0741-5214(99)70114-X 1:STN:280:DyaK1Mvktl2mug%3D%3D (Pubitemid 29487568)
33. G Langewouters K Wesseling W Goedhard 1984 The static elastic properties of 45 human thoracic and 20 abdominal aortas in vitro and the parameters of a new model J Biomech 17 6 425 435 6480618 10.1016/0021-9290(84)90034-4 1:STN:280:DyaL2M%2Fgs12qsw%3D%3D (Pubitemid 14074069)
34. S Laurent J Cockcroft L Van Bortel P Boutouyrie C Giannattasio D Hayoz B Pannier C Vlachopoulos I Wilkinson H Struijker-Boudier 2006 European network for noninvasive investigation of large arteries Expert consensus document on arterial stiffness: methodological issues and clinical applications Eur Heart J 27 21 2588 2605 17000623 10.1093/eurheartj/ehl254 (Pubitemid 44627304)
35. MS Olufsen 1999 Structured tree outflow condition for blood flow in the larger systemic arteries Am J Physiol 276 H257 H268 9887040 1:CAS:528: DyaK1MXnt12nug%3D%3D
36. MS Olufsen CS Peskin WY Kim EM Pedersen A Nadim J Larsen 2000 Numerical simulatoin and experimental validation of blood flow in arteries with structured tree outflow conditions Ann Biomed Eng 28 1281 1299 11212947 10.1114/1.1326031 1:STN:280:DC%2BD3M3gtlemsw%3D%3D (Pubitemid 32872598)
37. M Orosz G Molnarka E Monos 1997 Curve fitting methods and mechanical models for identification of viscoelastic parameters of vascular wall. A comparative study Med Sci Monit 3 599 604 (Pubitemid 27479016)
38. AS Podoltsev ZP Shulman 1999 Numerical simulation of the hemodynamics and biomechanics of the arterial system J Eng Phys Thermophys 72 422 429 10.1007/BF02699205
39. P Reymond F Merenda F Perren D Rufenacht N Stergiopulos 2009 Validation of a one-dimensional model of the systemic arterial tree Am J Physiol 297 H208 H222 1:CAS:528:DC%2BD1MXovVKitrg%3D
40. FH Silver I Horvath DJ Foran 2001 Viscoelasticity of the vessel wall: the role of collagen and elastic fibers CRC Crit Rev Biomed Eng 29 288 312
41. Valdez-Jasso, D. Modeling and Identification of Vascular Biomechanical Properties in Large Arteries. PhD Thesis, North Carolina State University, Raleigh, NC, 2010.
42. D Valdez-Jasso D Bia Y Zócalo RL Armentano HT Banks MA Haider MS Olufsen 2008 Viscoelastic models for passive arterial wall dynamics Adv Appl Math Mech 1 2 151 165
43. D Valdez-Jasso MA Haider HT Banks D Bia Y Zócalo RL Armentano MS Olufsen 2009 Analysis of viscoelastic wall properties in ovine arteries IEEE Trans Biomed Engr 56 2 210 219 10.1109/TBME.2008.2003093
44. SM Wells BL Langille SL Adamson 1998 In vivo and in vitro mechanical properties of the sheep thoracic aorta in the perinatal period and adulthood Am J Physiol 274 5 Pt 2 H1749 H1760 9612387 1:CAS:528:DyaK1cXjsV2js7w%3D
45. W Zhang H Chen GS Kassab 2006 A rate-insensitive linear viscoelastic model for soft tissues Biomaterials 28 3579 3586 10.1016/j.biomaterials.2007.04. 040
46. W Zhang Y Liu GS Kassab 2007 Viscoelasticity reduces the dynamic stress and strains in the vessel wall: implications for vessel fatigue Am J Physiol Heart Circ Physiol 293 H2355 H2360 17604330 10.1152/ajpheart.00423.2007 1:CAS:528:DC%2BD2sXht1WlurbF (Pubitemid 47605881)
47. Y Zócalo 2009 A rate-insensitive linear viscoelastic model for soft tissues Biomaterials 28 3579 3586
48. Y Zócalo D Bia JM González-Moreno J Torrado G Varela F Calleriza D Craiem W. Reyes-Caorsi RL Armentano 2009 Cardiac resynchronization results in aortic blood flow-associated changes in the arterial load components: basal biomechanical conditions determine the load changes Conf. Proc. IEEE Eng. Med. Biol. Soc 2009 2843 2847 20191680