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Volumn 278-279, Issue , 2014, Pages 31-43

Bifurcation analysis of a model for atherosclerotic plaque evolution

Author keywords

Atherosclerosis; Bifurcation analysis; Bogdanov Takens bifurcation; Oxidized LDL; Slow fast system; Wall shear stress

Indexed keywords

CHOLESTEROL; DISEASES; DYNAMICS; MACROPHAGES; ORDINARY DIFFERENTIAL EQUATIONS; SHEAR STRESS;

EID: 84899681048     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2014.04.005     Document Type: Article
Times cited : (6)

References (24)
  • 1
    • 77951570689 scopus 로고    scopus 로고
    • Pathogenesis of atherosclerosis
    • M.A. Crowther Pathogenesis of atherosclerosis ASH Education Program Book 2005 1 2005 436 441
    • (2005) ASH Education Program Book , vol.2005 , Issue.1 , pp. 436-441
    • Crowther, M.A.1
  • 4
    • 0027807211 scopus 로고
    • Atherosclerosis: A defense mechanism gone awry
    • R. Ross Atherosclerosis: a defense mechanism gone awry Am. J. Pathol. 143 1993 987 1002
    • (1993) Am. J. Pathol. , vol.143 , pp. 987-1002
    • Ross, R.1
  • 5
    • 0027494266 scopus 로고
    • Assessment of smooth muscle cell contribution to descending thoracic aortic elastic mechanics in conscious dogs
    • J. Barra, R. Armentano, J. Levenson, E. Fischer, R. Pichel, and A. Simon Assessment of smooth muscle cell contribution to descending thoracic aortic elastic mechanics in conscious dogs Circ. Res 73 1993 1040 1050
    • (1993) Circ. Res , vol.73 , pp. 1040-1050
    • Barra, J.1    Armentano, R.2    Levenson, J.3    Fischer, E.4    Pichel, R.5    Simon, A.6
  • 6
    • 0034434740 scopus 로고    scopus 로고
    • A new constitutive framework for arterial wall mechanics and a comparative study of material models
    • G.A. Holzapfel, T.C. Gasser, and R.W. Ogden A new constitutive framework for arterial wall mechanics and a comparative study of material models J. Elasticity 61 2000 1 48 http://www.sens.org/node/1490
    • (2000) J. Elasticity , vol.61 , pp. 1-48
    • Holzapfel, G.A.1    Gasser, T.C.2    Ogden, R.W.3
  • 7
    • 84856742933 scopus 로고    scopus 로고
    • Long time evolution of atherosclerotic plaques
    • M.A.K. Bulelzai, and J.L.A. Dubbeldam Long time evolution of atherosclerotic plaques J. Theoret. Biol. 297 2012 1 10
    • (2012) J. Theoret. Biol. , vol.297 , pp. 1-10
    • Bulelzai, M.A.K.1    Dubbeldam, J.L.A.2
  • 8
    • 1542268962 scopus 로고    scopus 로고
    • A phenomenological model for atherosclerotic plaque growth and rupture
    • T.J. Zohdi, G.A. Holzapfel, and S.A. Berger A phenomenological model for atherosclerotic plaque growth and rupture J. Theoret. Biol. 227 2004 437 443
    • (2004) J. Theoret. Biol. , vol.227 , pp. 437-443
    • Zohdi, T.J.1    Holzapfel, G.A.2    Berger, S.A.3
  • 9
    • 77955171002 scopus 로고    scopus 로고
    • An ODE model of early stages of atherosclerosis: Mechanisms of the inflammatory response
    • A. Ougrinovskaia, R.S. Thompson, and M.R. Myerscough An ODE model of early stages of atherosclerosis: mechanisms of the inflammatory response Bull. Math. Biol. 72 2010 1534 1561
    • (2010) Bull. Math. Biol. , vol.72 , pp. 1534-1561
    • Ougrinovskaia, A.1    Thompson, R.S.2    Myerscough, M.R.3
  • 10
    • 80052213433 scopus 로고    scopus 로고
    • Interleukin-6 protects human macrophages from cellular cholesterol accumulation and attenuates the pro-inflammatory response
    • M111.264325v1
    • E. Frisdal, Ph. Lesnik, M. Olivier, P. Robilard, M.J. Chapman, Th. Huby, M. Guerin, and W. Le Goff Interleukin-6 protects human macrophages from cellular cholesterol accumulation and attenuates the pro-inflammatory response J. Biol. Chem. 2011 M111.264325v1
    • (2011) J. Biol. Chem.
    • Frisdal, E.1    Lesnik, Ph.2    Olivier, M.3    Robilard, P.4    Chapman, M.J.5    Huby, Th.6    Guerin, M.7    Le Goff, W.8
  • 13
    • 0002336002 scopus 로고
    • Techniques in the theory of local bifurcations: Blow-up, normal forms, nilpotent bifurcations, singular perturbations
    • Springer Netherlands
    • F. Dumortier Techniques in the theory of local bifurcations: blow-up, normal forms, nilpotent bifurcations, singular perturbations Bifurcations and Periodic Orbits of Vector Fields 1993 Springer Netherlands 19 73
    • (1993) Bifurcations and Periodic Orbits of Vector Fields , pp. 19-73
    • Dumortier, F.1
  • 20
    • 0036566135 scopus 로고    scopus 로고
    • Asymptotic analysis of two reduction methods for systems of chemical reactions
    • H.G. Kaper, and T.J. Kaper Asymptotic analysis of two reduction methods for systems of chemical reactions Physica D 165 1 2002 66 93
    • (2002) Physica D , vol.165 , Issue.1 , pp. 66-93
    • Kaper, H.G.1    Kaper, T.J.2
  • 21
    • 24644471938 scopus 로고    scopus 로고
    • Projecting to a slow manifold: Singularly perturbed systems and legacy codes
    • C.W. Gear, T.J. Kaper, I.G. Kevrekidis, and A. Zagaris Projecting to a slow manifold: singularly perturbed systems and legacy codes SIAM J. Appl. Dyn. Syst. 4 3 2005 711 732
    • (2005) SIAM J. Appl. Dyn. Syst. , vol.4 , Issue.3 , pp. 711-732
    • Gear, C.W.1    Kaper, T.J.2    Kevrekidis, I.G.3    Zagaris, A.4
  • 23
    • 0042941286 scopus 로고    scopus 로고
    • Numerical normalization techniques for all codim 2 bifurcations of equilibria in ODE's
    • Y.A. Kuznetsov Numerical normalization techniques for all codim 2 bifurcations of equilibria in ODE's SIAM J. Numer. Anal. 36 4 1999 1104 1124
    • (1999) SIAM J. Numer. Anal. , vol.36 , Issue.4 , pp. 1104-1124
    • Kuznetsov, Y.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.