Oxidation of aorta by hydroxyl radicals produces structural changes in arterial proteins like elastin and collagen. This in turn results in change in the mechanical response of aorta. In this paper, a thermodynamically consistent constitutive model is developed within the framework of mixture theory, to describe the changes in aorta and isolated elastin with oxidation. The model is then studied under uniaxial extension using experimental data from literature.

References

1.
Powers
,
A. N.
,
Kavazis
,
S. K.
, and
DeRuisseau
,
K. C.
,
2005
, “
Mechanisms of Disuse Muscle Atrophy: Role of Oxidative Stress
,”
Am. J. Physiol. Regul. Integr. Comp. Physiol.
,
288
(
2
), pp.
R337
R344
.
2.
Booth
,
F. W.
,
1982
, “
Effect of Limb Immobilization on Skeletal Muscle
,”
J. Appl. Physiol. Respir. Environ. Exerc. Physiol.
,
52
(
5
), pp.
1113
1118
.
3.
Stadtman
,
E. R.
,
2004
, “
Role of Oxidant Species in Aging
,”
Curr. Med. Chem.
,
11
(
9
), pp.
1105
1112
.
4.
Barreiro
,
E.
,
de la Puente
,
B.
,
Minguella
,
J.
,
Corominas
,
J. M.
,
Serrano
,
S.
,
Hussain
,
S. N. A.
, and
Gea
,
J.
,
2005
, “
Oxidative Stress and Respiratory Muscle Dysfunction in Severe Chronic Obstructive Pulmonary Disease
,”
Am. J. Respir. Crit. Care Med.
,
171
(
10
), pp.
1116
1124
.
5.
Humphrey
,
J. D.
,
2006
, “
Towards a Theory of Vascular Growth and Remodeling
,”
Mechanics of Biological Tissue
,
G. A.
Holzapfel
and
R. W.
Ogden
, eds.,
Springer
,
Berlin
, pp.
3
16
.
6.
Dean
,
R. T.
,
Fu
,
S.
,
Stocker
,
R.
, and
Davies
,
M. J.
,
1997
, “
Biochemistry and Pathology of Radical-Mediated Protein Oxidation
,”
J. Biochem.
,
324
(
1
), pp.
1
18
.
7.
Harman
,
D.
,
1956
, “
Aging: A Theory Based on Free Radical and Radiation Chemistry
,”
J. Gerontol.
,
11
(
3
), pp.
298
300
.
8.
Berlett
,
B. S.
, and
Stadtman
,
E. R.
,
1997
, “
Protein Oxidation in Aging, Disease and Oxidative Stress
,”
J. Biol. Chem.
,
272
(
33
), pp.
20313
20316
.
9.
Oliver
,
C. N.
,
Ahn
,
B. W.
,
Moerman
,
E. J.
,
Goldstein
,
S.
, and
Stadtman
,
E. R.
,
1987
, “
Age-Related Changes in Oxidized Proteins
,”
J. Biol. Chem.
,
262
(
12
), pp.
5488
5491
.https://www.ncbi.nlm.nih.gov/pubmed/3571220
10.
Stadtman
,
E. R.
,
1990
, “
Metal Ion-Catalyzed Oxidation of Proteins: Biochemical Mechanism and Biological Consequences
,”
Free. Radic. Biol. Med.
,
9
(
4
), pp.
315
325
.
11.
Stadtman
,
E. R.
, and
Levine
,
R. L.
,
2003
, “
Free Radical-Mediated Oxidation of Free Amino Acids and Amino Acid Residues in Proteins
,”
Amino Acids
,
25
(
3–4
), pp.
207
218
.
12.
Levine
,
R. L.
,
1983
, “
Oxidative Modification of Glutamine Synthetase—II: Characterization of the Ascorbate Model System
,”
J. Biol. Chem.
,
258
(
19
), pp.
11828
11833
.http://www.jbc.org/content/258/19/11828
13.
Rivett
,
A. J.
,
Roseman
,
J. E.
,
Oliver
,
C. N.
,
Levine
,
R. L.
,
R. Stadtman
,
E.
,
1985
, “
Covalent Modification of Proteins by Mixed-Function Oxidation: Recognition by Intracellular Proteases
,”
Intracellular Protein Catabolism
,
E. A.
Khairallah
,
J. S.
Bond
, and
J. W. C.
Bird
, eds.,
Alan R Liss
,
New York
, pp.
317
328
.
14.
Fucci
,
L.
,
Oliver
,
C. N.
,
Coon
,
M. J.
, and
Stadtman
,
E. R.
,
1983
, “
Inactivation of Key Metabolic Enzymes by Mixed-Function Oxidation Reactions: Possible Implications in Protein Turnover and Aging
,”
Proc. Natl. Acad. Sci. U. S. A
,
80
(
6
), pp.
1521
1525
.
15.
Amici
,
A.
,
Levine
,
R. L.
,
Tsai
,
L.
, and
Stadtman
,
E. R.
,
1989
, “
Conversion of Amino Acid Residues in Proteins and Amino Acid Homopolymers to Carbonyl Derivatives by Metal-Catalyzed Oxidation Reactions
,”
J. Biol. Chem.
,
264
(
6
), pp.
3341
3346
.http://www.jbc.org/content/264/6/3341.short
16.
Dalle-Donne
,
I.
,
Rossi
,
R.
,
Giustarini
,
D.
,
Milzani
,
A.
, and
Colombo
,
R.
,
2003
, “
Protein Carbonyl Groups as Biomarkers of Oxidative Stress
,”
Clin. Chim. Acta
,
329
(
1–2
), pp.
23
38
.
17.
Rees
,
M. D.
,
Kennett
,
E. C.
,
Whitelock
,
J. M.
, and
Davies
,
M. J.
,
2008
, “
Oxidative Damage to Extracellular Matrix and Its Role in Human Pathologies
,”
Free. Radic. Biol. Med.
,
44
(
12
), pp.
1973
2001
.
18.
Raghavan
,
M. L.
,
Webster
,
M. W.
, and
Vorp
,
D. A.
,
1996
, “
Ex Vivo Biomechanical Behavior of Abdominal Aortic Aneurysm: Assessment Using a New Mathematical Model
,”
Ann. Biomed. Eng.
,
24
(
5
), pp.
573
582
.
19.
Thubrikar
,
M. J.
,
Labrosse
,
M.
,
Robicsek
,
F.
,
Al-Soudi
,
J.
, and
Fowler
,
B.
,
2001
, “
Mechanical Properties of Abdominal Aortic Aneurysm Wall
,”
J. Med. Eng. Technol.
,
25
(
4
), pp.
133
142
.
20.
Stephen
,
E. A.
,
Venkatasubramaniam
,
A.
,
Good
,
T. A.
, and
Topoleski
,
L. D. T
,
2014
, “
The Effect of Oxidation on the Mechanical Response and Microstructure of Porcine Aortas
,”
J. Biomed. Mater. Res. Part A
,
102
(
9
), pp.
3255
3262
.
21.
Gleason
,
R. L.
, and
Humphrey
,
J. D.
,
2004
, “
A Mixture Model of Arterial Growth and Remodeling in Hypertension: Altered Muscle Tone and Tissue Turnover
,”
J. Vasc. Res.
,
41
(
4
), pp.
352
363
.
22.
Gleason
,
R. L.
, and
Humphrey
,
J. D.
,
2005
, “
Effects of a Sustained Extension on Arterial Growth and Remodeling: A Theoretical Study
,”
J. Biomech.
,
38
(
6
), pp.
1255
1261
.
23.
Humphrey
,
J. D.
,
1999
, “
Remodeling of a Collagenous Tissue at Fixed Lengths
,”
ASME J. Biomech. Eng.
,
121
(
6
), pp.
591
597
.
24.
Holzapfel
,
G. A.
,
Gasser
,
T. C.
, and
Stadler
,
M.
, 2002, “
A Structural Model for the Viscoelastic Behavior of Arterial Walls: Continuum Formulation and Finite Element Simulation
,”
Eur. J. Mech. A Solids
,
21
(
3
), pp.
441
463
.
25.
Rajagopal
,
K. R.
, and
Srinivasa
,
A. R.
,
2004
, “
On the Thermomechanics of Materials That Have Multiple Natural Configurations—Part I: Viscoelasticity and Classical Plasticity
,”
Z. Angew. Math. Phys.
,
55
(
5
), pp.
861
893
.
26.
Samohyl
,
I.
,
1987
, “
Thermodynamics of Irreversible Processes in Fluid Mixtures
,”
Teubner-Texte zur Physik
,
Leipzig
,
Germany
.
27.
Rajagopal
,
K. R.
, and
Tao
,
L.
,
1995
,
Mechanics of Mixtures
(Series on Advances in Mathematics for Applied Sciences), Vol.
35
,
World Scientific
,
Singapore
.
28.
Kannan
,
K.
, and
Rajagopal
,
K. R.
,
2011
, “
A Thermodynamical Framework for Chemically Reacting Systems
,”
Z. Angew. Math. Phys.
,
62
(
2
), pp.
331
363
.
29.
Green
,
A. E.
, and
Naghdi
,
P. M.
,
1978
, “
On Thermodynamics and the Nature of the Second Law for Mixtures of Interacting Continua
,”
Q. J. Mech. Appl. Math.
,
31
(
3
), pp.
265
293
.
30.
Spencer
,
A. J. M.
,
1971
, “
Part III Theory of Invariants
,”
Continuum Physics: Volume 1
,
C.
Eringen
, ed.,
Academic Press
,
New York
, pp.
239
353
.
31.
Rajagopal
,
K. R.
, and
Srinivasa
,
A. R.
,
2000
, “
A Thermodynamic Frame Work for Rate Type Fluid Models
,”
J. Non-Newtonian Fluid Mech.
,
88
(
3
), pp.
207
227
.
32.
Kundurthi
,
S.
,
Mythravaruni
,
P.
, and
Ravindran
,
P.
,
2015
, “
Vulcanization and the Mechanical Response of Rubber
,”
Z. Angew. Math. Phys.
,
66
(
3
), pp.
1109
1123
.
33.
Sokolis
,
D. P.
,
Boudoulas
,
H.
, and
Karayannacos
,
P. E.
,
2008
, “
Segmental Differences of Aortic Function and Composition: Clinical Implications
,”
Hellenic J. Cardiol.
,
49
(
3
), pp.
145
154
.https://www.ncbi.nlm.nih.gov/pubmed/18543643
34.
Agarwal
,
K.
, and
Chatterjee
,
D.
, 2015, “
The Role of Encapsulated Microbubbles in the Diagnosis of Stenosis in Arteries
,”
J. Phys. Conf. Ser.
,
656
, pp.
1
4
.
35.
Jeevithan
,
E.
,
Bao
,
B.
,
Zhang
,
J.
,
Hong
,
S.
, and
Wu
,
W.
,
2015
, “
Purification, Characterization and Antioxidant Properties of Low Molecular Weight Collcollagen Polypeptide (37kda) Prepared From Whale Shark Cartilage (Rhincodon Typus)
,”
J. Food Sci. Technol.
,
52
(
10
), pp.
6312
6322
.
36.
Debelle
,
L.
, and
Tamburro
,
A. M.
,
1999
, “
Elastin: Molecular Description and Function
,”
Int. J. Biochem. Cell Biol.
,
31
(
2
), pp.
261
272
.
37.
Ricci
,
R. W.
,
Ditzler
,
M.
, and
Nestor
,
L. P.
,
1994
, “
Discovering the Beer-Lambert Law
,”
J. Chem. Educ.
,
71
(
11
), pp.
983
985
.
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