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Mechanical Properties of Arteries in Vivo
Abstract
Methods have been assembled permitting the simultaneous recording of intra-arterial pressure and arterial diameter with sufficient accuracy so that the mechanical properties of arteries in vivo, under physiologic conditions, can be derived. The analysis necessitates finding the relationships between 5 simultaneous variables; hence the data were recorded on magnetic tape and processed by analog and digital computer technics. Analysis of the data established the fact that the mechanical properties of arteries can be described by a linear, first-order differential equation whose coefficients can be defined as the moduli of elasticity and viscosity. Furthermore, the magnitudes of the coefficients were evaluated. The strain which the arteries undergo as a result of arterial pulse pressure variations is normally between 0.01 and 0.04, i.e., between 1 and 4 per cent change in circumference. The total strain associated with marked constriction and dilation does not usually exceed 10 per cent. Therefore, it is established that the circumferential motion of arteries may be characterized as small strain. The fact that the strain is effectively small is confirmed by analytical consideration, i.e., stress-strain relationships can be linearized under physiologic conditions without introducing significant error. The mass of the artery wall does not play a significant role in determining the mechanical behavior of the arteries and can therefore be neglected in any such considerations. The harmonic content, i.e., the frequency spectrum, comprising the pressure and diameter pulsations associated with the cardiac cycle have been evaluated by Fourier analysis. The magnitudes of the coefficients relating pressure and strain are: elastic (E p ) varies from 1,000 to 6,000 Gm./cm. 2 (with the exception of a value of 500 in the thoracic aorta of a 12-week-old puppy), viscous (R p ) from 10 to 150, and mass (M p ) from 0.0002 to 0.005. The magnitudes of the coefficients vary from individual to individual, from one site to another within the vascular tree and temporally in response to vasoactive factors. The effects of epinephrine, norepinephrine, acetylcholine and autonomic nerve stimulation on the mechanical properties and behavior of arteries are discussed. The differences between the pressure-strain relationships and the wall tension-strain relationships are discussed, since the mechanical properties of the wall material itself is not given directly by the pressure-strain relationships, i.e., radius and wall thickness must be considered. An analytical discussion is developed and mathematical equations are derived which relate pressure, wall tension, radius, strain, elasticity, viscosity and inertia in a tube which has been shown to be a reliable model of the living artery. It is concluded that the concept that the arteries function as a "peripheral heart," i.e., rhythmically contract in synchrony with the heart, is not justified. Probable relationships of these properties to the structure and functions of the arterial system are discussed.
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“The arterial wall is often treated as incompressible44,51, pressure changes applied internally translates to vessel wall dilation, but the total wall volume is conserved.”
From Synthetic photoplethysmography (PPG) of the radial artery through parallelized Monte Carlo and its correlation to body mass index (BMI) (2021) · cites this paper as [44]
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Aortic elasticity alterations in special disorders
Gavallér, H. (2013) · doi:10.14232/phd.1695
正明, 佐. (1979) · 医用電子と生体工学 · doi:10.11239/jsmbe1963.17.295
New ultrasonographic approaches to monitoring cardiac and vascular function
Bjällmark, A. (2009) · Diva portal (Dalarna University Library)
Paulus, R., Erpicum, S., Dewals, B., et al. (2010) · International Journal of Design & Nature and Ecodynamics · doi:10.2495/dne-v5-n4-317-334
“The linear analysis, based on the more restrictive assumption that the displacement is relatively small, has been done in a similar manner and is already available since the parameters of the model are mostly available in literature [20–22].”
BackgroundMethodPierini, A., Bertinieri, G., Pagnozzi, G., et al. (2000) · The American Journal of Cardiology · doi:10.1016/s0002-9149(00)01113-9
Assessment of arterial compliance by carotid midwall strain-stress relation in hypertension
Bella, J. N., Roman, M., Pini, R., et al. (1998) · Journal of the American College of Cardiology · doi:10.1016/s0735-1097(98)81200-x
Bia, D., Brum, J., Pessana, F., et al. (2010) · Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society · doi:10.1109/iembs.2010.5626562
Bia, D., Pessana, F., Forcada, P. J., et al. (2010) · Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society · doi:10.1109/iembs.2010.5626872
Un modèle aortique pour l’évaluation physiologique des endoprothèses couvertes
Desai, M. Y., Ahmed, M., Darbyshire, A., et al. (2011) · Annales de Chirurgie Vasculaire · doi:10.1016/j.acvfr.2012.04.029
HEMODYNAMIC RESPONSE FOLLOWING RESISTANCE EXERCISE IN YOUNG AND OLDER ADULT WOMEN
Reyes, R., Alomari, M. A., Brady, S., Li, L., Welsch, M., & Wood, R. (2003) · Medicine & Science in Sports & Exercise · doi:10.1097/00005768-200305001-01366
“, catecholamines and angiotensin (Peterson et al., 1960; Remington, 1963; Safar et al., 1987; Simon et al., 1984; Ting et al., 1986).”
BackgroundLovato, L., Sbarzaglia, P., Magi, S., et al. (2006) · Journal of Mechanics in Medicine and Biology · doi:10.1142/s0219519406001807
Long, A., Rouet, L., Vitry, F., Albertini, J. N., Marcus, C. D., & Clément, C. (2009) · Annales de Chirurgie Vasculaire · doi:10.1016/j.acvfr.2009.04.008
Quasisteady arterial blood flow
Gordon, P. F. (1983) · Journal of Mathematical Physics · doi:10.1063/1.525764
Imaging of in vivo carotid artery with time using ultrasonography and sclerosis
Yokota, Y., Nogata, F., Kawamura, Y., et al. (2012) · doi:10.1109/icch.2012.6724472
“equations (Ep, Einc, VE, and β*) in terms of stiffness reported in references [16-19].”
BackgroundIntraluminal pressure and equivalent arterial wall tension
Wurzel, M., & Roach, R. (1967) · Cellular and Molecular Life Sciences · doi:10.1007/bf02142281
Long, A., Rouet, L., Vitry, F., Albertini, J. N., Marcus, C. D., & Clément, C. (2009) · Anales de Cirugía Vascular · doi:10.1016/j.acvsp.2008.08.008
“524] 236 [137-297] 182,5 [82,8-308] < 0,0001 < 0,0001 0,14 Distensibilidad segmentaria (10 mm/Pa) 28,6 [17,8-36,5] 6,3 [3,5-8] 4,8 [2,3-6,7] < 0,0001 < 0,0001 0,23 Di ametro AP m aximo Dilataci on (mm) 1.”
InfluentialIN VIVOEVALUATION OF THE HUMAN CAROTID ARTERY COMPLEX ELASTIC MODULUS
Sebastián, G., Zócalo, Y., Franco, P., et al. (2006) · Journal of Mechanics in Medicine and Biology · doi:10.1142/s0219519406001868
Nemes, A., Csanády, M., & Forster, T. (2009) · Diabetes Research and Clinical Practice · doi:10.1016/j.diabres.2008.12.001
Biomechanical Behavior of Atherosclerotic Plaque
Topoleski, L. D. T., & Stephen, B. (2014) · Springer eBooks · doi:10.1007/978-3-642-37393-0_31-1
Nonlinear Mechanical Behavior of the Common, External, and Internal Carotid Arteries In Vivo
Kamenskiy, A. V., Dzenis, Y. A., MacTaggart, J., et al. (2011) · Journal of Vascular Surgery · doi:10.1016/j.jvs.2011.09.035
Agianniotis, A. (2014) · Infoscience (Ecole Polytechnique Fédérale de Lausanne) · doi:10.5075/epfl-thesis-5793
Nogata, F., Yokota, Y., Kawamura, Y., et al. (2009) · AIP conference proceedings · doi:10.1063/1.3223930
Mokhtari‐Dizaji, M., Abdolmaleki, P., Saberi, H. R., et al. (2008)
Bjarnegård, N. (2008) · DiVA (Linkoping University)
Nemes, A., Gavallér, H., Högye, M., et al. (2006) · Journal of Cardiac Surgery · doi:10.1111/j.1540-8191.2006.00317.x
Theories and Models of Arterial Circulation
Li, J. (2000) · Humana Press eBooks · doi:10.1007/978-1-59259-034-6_3
Strain Imaging and Vascular Elasticity
Jerome, J. T. J. (2002)
Measurement of nonlinear property of artery wall using remote cyclic actuation ORIGINAL ARTICLE
Hasegawa, H., & Kanai, H. (2006)
Sukkar, I. (1993) · Developments in cardiovascular medicine · doi:10.1007/978-94-011-1848-4_31
CARDIAC MAGNETIC RESONANCE IMAGING TECHNIQUES IN THE ASSESSMENT OF FLOW AND VOLUMETRY
Poutanen, V.-P. (2004) · Työväentutkimus Vuosikirja
Mokhtari‐Dizaji, M., & Nikanjam, N. (2004) · DOAJ (DOAJ: Directory of Open Access Journals)
Nikanjam, N., Mokhtari‐Dizaji, M., & Saberi, H. R. (2004) · Iranian heart journal
KULBERTUS, H. E. (1963) · Archives Internationales de Physiologie et de Biochimie · doi:10.3109/13813456309092174
PREDICTORS OF POSTOPERATIVE ATRIAL FIBRILLATION AFTER HEART VALVE SURGERY
Basiri, H. A., Ghanbarian, K., & Haghjou, M. (2008)
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Tehrani, F. H. E., Kazemi, H., Mojtahedzadeh, S., et al. (2008)
Sugita, S., MATSUMOTΟ, T., & Sato, M. (2013) · Journal of Life Support Engineering · doi:10.5136/lifesupport.25.56
Hasegawa, H., Inagaki, J., Mashiyama, T., et al. (2006) · doi:10.1142/9781860948800_0077
“For the evaluation of dynamic mechanics, arterial elasticity has been determined by measuring the pulse wave velocity [7] and the rough change in the diameter of the artery [8].”
MethodSugita, S. (2013) · TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A · doi:10.1299/kikaia.79.177
Continuous Measurement of Aortic Caliber in Conscious Rats Effect of Acute Hypertension
Compagno, L. T., Leite, J., & Krieger, E. M. (1977) · Mayo Clinic Proceedings · doi:10.1016/s0025-6196(25)09861-1
Analog Computers in Medical Research and Diagnosis
Taskett, B. (1963) · Archives of Environmental Health An International Journal · doi:10.1080/00039896.1963.10663536
Pathogenesis of Aortic Aneurysms
Baxter, B. T., & MacTaggart, J. (2009) · Elsevier eBooks · doi:10.1016/b978-0-323-05726-4.00029-9
Iwiński, J., Petelenz, T., Weiß, P. J., et al. (1995) · Springer eBooks · doi:10.1007/978-1-4471-3095-6_113
Biswas, B., Pal, S., Biswas, S., et al. (2012)
Electronic staining: elasticity imaging of atheroma with transcutaneous ultrasound
Kanai, H., Hasegawa, H., Ichiki, M., et al. (2004) · IEEE Symposium on Ultrasonics · doi:10.1109/ultsym.2003.1293393
“For the evaluation of dynamic mechanics, arterial elasticity has been determined by measuring the pulse wave velocity [9] and rough change in the diameter of the artery [10, 11].”
MethodAAA Treatment Strategy Change Over Time
Ghotbi, R., & Mansour, R. (2017) · Elsevier eBooks · doi:10.1016/b978-0-12-811018-8.00003-5
Small aortic root in aortic stenosis: a bystander of atherosclerotic burden?
Magné, J., Mohty, D., & Aboyans, V. (2017) · European Heart Journal - Cardiovascular Imaging · doi:10.1093/ehjci/jew318
Non-Invasive Cardiovascular Ultrasound
Glen, S. K. (1997) · Enlighten: Theses (The University of Glasgow)
Dorta, M. P. (2020) · doi:10.11606/t.43.2020.tde-29012020-173434
“DA of VSMCs calculated from different porcine arterial beds compared with the inverse of pressure-strain elastic modulus (distensibility) of arteries for dog (diamonds) and sheep (squares) (19).”
BackgroundResultInfluentialNumerical Analysis of Flow in the Branch Pipe with Hyperelasticity Modeling the Coronary Artery
Saito, A., & Kawamura, T. (2018) · Theoretical and applied mechanics Japan · doi:10.11345/nctam.64.155
Hemodinámica y flujo sanguíneo
Hoskins, P. R., McDicken, W. N., & Allan, P. L. (2008) · Elsevier eBooks · doi:10.1016/b978-84-8086-328-5.50002-2
ARTERIAL AND ARTERIOLAR SYSTEMS
(1962) · Elsevier eBooks · doi:10.1016/b978-1-4832-3144-0.50007-2
(2006) · Kluwer Academic Publishers eBooks · doi:10.1007/0-387-23346-6_11
Wetterer, E., Bauer, R. D., & Pasch, T. (1971) · Springer eBooks · doi:10.1007/978-3-642-65203-5_1
Vlachopoulos, C., O'Rourke, M., & Nichols, W. W. (2011) · CRC Press eBooks · doi:10.1201/b13568-32
Autonomic and neuroendocrine modulation of arterial stiffness and hemodynamics
Millar, P. J., Nardone, M., & Floras, J. S. (2022) · Elsevier eBooks · doi:10.1016/b978-0-323-91391-1.00024-8
Chauvet, G. A. (1986) · Elsevier eBooks · doi:10.1016/b978-0-08-041993-0.50025-2
Rodgers, V. G. J., & Borovetz, H. S. (1987) · Journal of Vascular Surgery · doi:10.1016/s0741-5214(87)70061-5
Bugliarello, G. (1973) · Elsevier eBooks · doi:10.1016/b978-0-12-253250-4.50032-4
Mahadeo, M., Roopnarine, A., & Rocke, S. (2023) · International Conference on Bio-engineering for Smart Technologies (BioSMART) · doi:10.1109/biosmart58455.2023.10161995
Computation of Vascular Parameters: Implementing Methodology and Performance Analysis
Sikkandar, M. Y., Padmanabhan, S., Mohan, B., et al. (2023) · Biosensors · doi:10.3390/bios13080757
Arterial wall mechanics in women with polycystic ovary syndrome.
Lakhani, K. (2005) · UCL Discovery (University College London)
(2023) · The Journal of Japanese College of Angiology · doi:10.7133/jca.23-99002
Karlsson, J., Gade, J.-L., Thore, C., Carlhäll, C., Engvall, J. E., & Stålhand, J. (2025) · Medical Sciences · doi:10.3390/medsci13010009
“This analysis provides knowledge of the mechanical properties of the arterial wall that can be added to clinical applications such as the pressure–strain elastic modulus (Ep) [7], the stiffness beta-index [8], and the pulse wave velocity [9], all of which reflect overall vessel wall stiffness.”
Abbas, E. S., Alsalihi, O. J., & Alkaaby, A. H. (2025) · Medical Journal of Babylon · doi:10.4103/mjbl.mjbl_1309_23
Yokota, J., Shirakawa, T., Shimamura, K., et al. (2025) · Interdisciplinary CardioVascular and Thoracic Surgery · doi:10.1093/icvts/ivaf148
“Since then, elasticity, distensibility and stiffness have been assessed [19] and measured in animals [20], cadavers [21] and surgical specimens [11–14].”
Haptics of Pulse Palpation: Simulation and Validation Through Novel Sensor-Actuator System
Subudhi, D., Deepak, K., & Muniyandi, M. (2025) · IEEE Transactions on Haptics · doi:10.1109/toh.2025.3604476
“Where σ ij is the solid stress tensor, E is the modulus of elasticity of the artery wall, (cid:6) λ is the solid strain tensor, and ρ a is the artery wall density (1160 kgm − 3 [47]).”
Johnson, P. C. (1980) · Comprehensive physiology · doi:10.1002/j.2040-4603.1980.tb00973.x
Dobrin, P. B. (1983) · Comprehensive physiology · doi:10.1002/j.2040-4603.1983.tb00983.x
“…who had reported that activation of vascular muscle increases vessel stiffness had presented their data as a function of diameter or volume (153, 186, 218), whereas those who had reported that activation of the muscle decreases vessel stiffness had presented their data as a function of pressure…”
Mechanics of Vascular Smooth Muscle
Murphy, R. A. (1980) · Comprehensive physiology · doi:10.1002/j.2040-4603.1980.tb00971.x
“Segments of vessels may be cannulated in an apparatus that can control the length and radius or the internal pressure (34, 98).”
Circulatory Correlates: Vascular Impedance, Resistance, and Capacity
Gow, B. S. (1980) · Comprehensive physiology · doi:10.1002/j.2040-4603.1980.tb00972.x
Lakatta, E. G. (1994) · Comprehensive physiology · doi:10.1002/j.2040-4603.1994.tb01689.x
Artery Wall Imaging and Effects of Postmenopausal Estrogen Therapy
Wallberg, R.-M., & Kenny, A. (2005)
The Effect of Varying Compliance upon the Long-Term Patency of a Polyurethane Artificial Artery
Annis, D. B., Fisher, A. C., How, T. V., et al. (1986) · Springer eBooks · doi:10.1007/978-1-4613-1809-5_17
Boos, M. (2006) · Univ. Duesseldorf: Duesseldorfer Dokumenten- und Publikationsserver
Cerebral Hemodynamics through Intracrnial Pressure
Shahsavari, S. (2011) · Chalmers Publication Library (Chalmers University of Technology)
Metadata
- Authors
- PETERSON, L. H., JENSEN, R. E., & PARNELL, J.
- Affiliations
- University of Pennsylvania (US)
- Venue
- Circulation Research
- Published
- 1960-05
- Volume
- 8
- Issue
- 3
- Pages
- 622-639
- ISSN
- 0009-7330 (ISSN-L)
- 1524-4571
- OpenAlex
- W2091983820
- Cited by
- 679
- References
- 0
- Citations by year
- 2026: 1 · 2025: 6 · 2024: 5 · 2023: 8 · 2022: 6 · 2021: 12 · 2020: 10 · 2019: 12 · 2018: 9 · 2017: 10 · 2016: 5 · 2015: 11 · 2014: 15 · 2013: 17 · 2012: 18
- FWCI
- 16.92
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Circulation Research (publishedVersion)
- Funders
- University of Pennsylvania
- Topics
- Physical Sciences › Engineering › Biomedical Engineering › Elasticity and Material Modeling
- Health Sciences › Medicine › Cardiology and Cardiovascular Medicine › Cardiovascular Health and Disease Prevention
- Physical Sciences › Engineering › Biomedical Engineering › Non-Invasive Vital Sign Monitoring
- Keywords
- arterial wall mechanics, arterial diameter, pulse pressure, elastic modulus, viscous damping, first-order differential equations, wall tension, epinephrine, norepinephrine, acetylcholine, autonomic nerve stimulation, vasoactive factors, thoracic aorta
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