A passive strain-energy function for elastic and muscular arteries: correlation of material parameters with histological data.
A plethora of phenomenological and structure-motivated constitutive models have thus far been used as pseudoelastic descriptors in arterial biomechanics, but their parameters have not been explicitly correlated with histology. This study associated biaxial histological data with strain-energy function (SEF) parameters derived from uniaxial tension data of arteries from different topographical sites (carotid artery vs. thoracic aorta vs. femoral artery). A two-term SEF fitted the passive stress-strain data of healthy porcine tissue, justified by the biphasic response characterizing elastin-rich tissues. Selection of a quadratic (orthotropic) over the neo-Hookean (isotropic) term was dictated by the directional dissimilarities in low-stress mechanical response, consistent with our histological data indicating orthotropic symmetry for unstressed elastin. Use of the exponential term was dictated by mechanical dissimilarities at high stresses and variations in unstressed collagen composition and orientation. Accurate fits were attained; topographical variations and anisotropy in material parameters were accounted by respective variations in histomorphometrical data.
Sokolis
Dimitrios P
DP
Laboratory of Biomechanics, Foundation of Biomedical Research, Academy of Athens, Athens, 11527, Greece. DimitrisSokolis@ath.forthnet.gr
D000818:Animals; D016880:Anisotropy; D001158:Arteries / Q000033:anatomy & histology / Q000502:physiology*; D004548:Elasticity; D008955:Models, Cardiovascular; D013314:Stress, Mechanical; D034421:Sus scrofa
Am J Anat. 1986 Apr;175(4):481-92
3717050
Circ Res. 1964 May;14:400-13
14156860
Ciba Found Symp. 1983;100:37-55
6557898
Can J Biochem Physiol. 1957 Aug;35(8):681-90
13460788
Anat Rec. 1991 May;230(1):86-96
2064031
Anat Rec. 1995 Nov;243(3):376-83
8579257
Crit Rev Biomed Eng. 1995;23(1-2):1-162
8665806
Scanning Microsc. 1988 Jun;2(2):994-1004
3041576
Can J Physiol Pharmacol. 1983 Jun;61(6):539-45
6883206
J R Soc Interface. 2006 Feb 22;3(6):15-35
16849214
Am J Physiol. 1978 May;234(5):H533-41
645918
J Mol Cell Cardiol. 1986 Jun;18(6):567-78
3735439
J Biomech. 2004 Jul;37(7):989-1000
15165869
J Biomech Eng. 2003 Jun;125(3):395-406
12929245
J Theor Biol. 2006 Jan 21;238(2):290-302
16043190
Med Eng Phys. 2007 Jan;29(1):8-16
16497534
J Thorac Cardiovasc Surg. 2009 Jan;137(1):101-9
19154911
J Biomech Eng. 1987 May;109(2):115-20
3599935
Biomed Tech (Berl). 1986 Mar;31(3):46-52
3697471
Am J Physiol Heart Circ Physiol. 2003 Nov;285(5):H1986-2000
12842812
J Biomech. 1976;9(10):649-57
965417
J Vasc Res. 1995 Sep-Oct;32(5):301-12
7578798
Am J Physiol Heart Circ Physiol. 2005 Nov;289(5):H2048-58
16006541
Med Biol Eng Comput. 2008 Dec;46(12):1187-99
18612671
J Biomech Eng. 2008 Jun;130(3):031017
18532866
Am J Physiol. 1996 Jun;270(6 Pt 2):H2169-76
8764270
Am J Physiol. 1984 Jul;247(1 Pt 2):H124-31
6331204
Biorheology. 1980;17(3):227-34
7213989
J Med Eng Technol. 2007 Nov-Dec;31(6):397-409
17852649
Cardiovasc Res. 1999 Aug 1;43(2):471-80
10536677
Annu Rev Biomed Eng. 2003;5:413-39
12730083
Comput Biol Med. 1998 Jul;28(4):377-92
9805198
J Biomech. 1984;17(6):425-35
6480618
J Biomech. 2006;39(9):1651-62
16045914
Acta Physiol (Oxf). 2007 Aug;190(4):277-89
17635348
J Biomech Eng. 1993 Nov;115(4B):481-8
8302029
Proc Natl Acad Sci U S A. 1997 Dec 23;94(26):14255-60
9405599