메뉴 건너뛰기




Volumn 314, Issue , 2012, Pages 23-33

Mathematical model of intimal thickening in atherosclerosis: Vessel stenosis as a free boundary problem

Author keywords

Chemotaxis; Eroded plaque; Inflammation; Platelet derived growth factor

Indexed keywords

CYTOKINE; PLATELET DERIVED GROWTH FACTOR;

EID: 84866102175     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2012.07.029     Document Type: Article
Times cited : (27)

References (33)
  • 1
    • 84921896786 scopus 로고    scopus 로고
    • Amar, Martine Ben, Goriely, Alain, Muller, Martin M., Cugliandolo, Leticia. (Eds.), New Trends in the Physics and Mechanics of Biological Systems: Lecture Notes of the Les Houches Summer School, July 2009. Oxford University Press.
    • Amar, Martine Ben, Goriely, Alain, Muller, Martin M., Cugliandolo, Leticia. (Eds.), 2011. New Trends in the Physics and Mechanics of Biological Systems: Lecture Notes of the Les Houches Summer School, Volume 92, July 2009. Oxford University Press.
    • (2011) , vol.92
  • 2
    • 0028903234 scopus 로고
    • Apoptosis of human vascular smooth muscle cells derived from normal vessels and coronary atherosclerotic plaques
    • Bennett M.R., Evan G.I., Schwartz S.M. Apoptosis of human vascular smooth muscle cells derived from normal vessels and coronary atherosclerotic plaques. J. Clin. Invest. 1995, 95(May (5)):2266-2274.
    • (1995) J. Clin. Invest. , vol.95 , Issue.MAY 5 , pp. 2266-2274
    • Bennett, M.R.1    Evan, G.I.2    Schwartz, S.M.3
  • 3
    • 84856742933 scopus 로고    scopus 로고
    • Long time evolution of atherosclerotic plaques
    • Bulelzai M.A.K., Dubbeldam Johan L.A. Long time evolution of atherosclerotic plaques. J. Theor. Biol. 2012, 297(March):1-10.
    • (2012) J. Theor. Biol. , vol.297 , Issue.MARCH , pp. 1-10
    • Bulelzai, M.A.K.1    Dubbeldam, J.L.A.2
  • 4
    • 84867860461 scopus 로고    scopus 로고
    • Mathematical and numerical modeling of early atherosclerotic lesions
    • Calvez Vincent, Houot Jean Gabriel, Meunier Nicolas, Raoult Annie, Rusnakova Gabriela Mathematical and numerical modeling of early atherosclerotic lesions. ESAIM Proc. 2010, 30(August):1-15.
    • (2010) ESAIM Proc. , vol.30 , Issue.AUGUST , pp. 1-15
    • Calvez, V.1    Houot, J.G.2    Meunier, N.3    Raoult, A.4    Rusnakova, G.5
  • 5
    • 0024373052 scopus 로고
    • Direct measurement of interstitial convection and diffusion of albumin in normal and neoplastic tissues by fluorescence photobleaching
    • Chary Srikanth R., Jain Rakesh K. Direct measurement of interstitial convection and diffusion of albumin in normal and neoplastic tissues by fluorescence photobleaching. Proc. Natl. Acad. Sci. U.S.A. 1989, 86(July):5385-5389.
    • (1989) Proc. Natl. Acad. Sci. U.S.A. , vol.86 , Issue.JULY , pp. 5385-5389
    • Chary, S.R.1    Jain, R.K.2
  • 6
    • 0020502095 scopus 로고
    • Mechanisms of stenosis after arterial injury
    • Clowes A.W. Mechanisms of stenosis after arterial injury. Lab. Invest. 1983, 2(49):208-215.
    • (1983) Lab. Invest. , vol.2 , Issue.49 , pp. 208-215
    • Clowes, A.W.1
  • 7
    • 0026585495 scopus 로고
    • Anatomic features in victims of sudden coronary death. coronary artery pathology
    • Davies M.J. Anatomic features in victims of sudden coronary death. coronary artery pathology. Circulation 1992, 85:119-124.
    • (1992) Circulation , vol.85 , pp. 119-124
    • Davies, M.J.1
  • 8
    • 26944489624 scopus 로고    scopus 로고
    • A nonlinear anisotropic and axisymmetric model for balloon angioplasty
    • Eftaxiopoulos Dimitrios A., Atkinson Colin A nonlinear anisotropic and axisymmetric model for balloon angioplasty. Proc. R. Soc. A Math. Phys. Eng. Sci. 2005, 461(March (2056)):1097-1128.
    • (2005) Proc. R. Soc. A Math. Phys. Eng. Sci. , vol.461 , Issue.MARCH 2056 , pp. 1097-1128
    • Eftaxiopoulos, D.A.1    Atkinson, C.2
  • 9
    • 0029876139 scopus 로고    scopus 로고
    • Coronary plaque erosion without rupture into a lipid core. a frequent cause of coronary thrombosis in sudden coronary death
    • Farb Andrew, Burke Allen P., Tang Anita L., Liang Youhui, Mannan Poonam, Smialek John, Virmani Renu Coronary plaque erosion without rupture into a lipid core. a frequent cause of coronary thrombosis in sudden coronary death. Circulation 1996, 93(7):1354-1363.
    • (1996) Circulation , vol.93 , Issue.7 , pp. 1354-1363
    • Farb, A.1    Burke, A.P.2    Tang, A.L.3    Liang, Y.4    Mannan, P.5    Smialek, J.6    Virmani, R.7
  • 10
    • 85121191655 scopus 로고    scopus 로고
    • Fok, Pak-Wing, 2011. Growth of necrotic cores in atherosclerotic plaque. Math. Med. Biol. in press
    • Fok, Pak-Wing, 2011. Growth of necrotic cores in atherosclerotic plaque. Math. Med. Biol. in press,. http://dx.doi.org/10.1093/imammb/dqr012.
  • 11
    • 0022495733 scopus 로고
    • Microvascular permeability of normal and neoplastic tissues
    • Gerlowski L.E., Jain R.K. Microvascular permeability of normal and neoplastic tissues. Microvasc. Res. 1986, 305:288-305.
    • (1986) Microvasc. Res. , vol.305 , pp. 288-305
    • Gerlowski, L.E.1    Jain, R.K.2
  • 12
    • 77955130831 scopus 로고    scopus 로고
    • On the mechanical stability of growing arteries
    • Goriely A., Vandiver R. On the mechanical stability of growing arteries. IMA J. Appl. Math. 2010, 75(April (4)):549-570.
    • (2010) IMA J. Appl. Math. , vol.75 , Issue.APRIL 4 , pp. 549-570
    • Goriely, A.1    Vandiver, R.2
  • 13
    • 33847656979 scopus 로고    scopus 로고
    • Fibrin gel formation in a shear flow
    • Guy Robert D., Fogelson Aaron L., Keener James P. Fibrin gel formation in a shear flow. Math. Med. Biol. J. IMA 2007, 24(March (1)):111-130.
    • (2007) Math. Med. Biol. J. IMA , vol.24 , Issue.MARCH 1 , pp. 111-130
    • Guy, R.D.1    Fogelson, A.L.2    Keener, J.P.3
  • 14
    • 33646182163 scopus 로고    scopus 로고
    • Deterministic model of dermal wound invasion incorporating receptor-mediated signal transduction and spatial gradient sensing
    • Haugh Jason M. Deterministic model of dermal wound invasion incorporating receptor-mediated signal transduction and spatial gradient sensing. Biophys. J. 2006, 90(7):2297-2308.
    • (2006) Biophys. J. , vol.90 , Issue.7 , pp. 2297-2308
    • Haugh, J.M.1
  • 15
    • 31044433977 scopus 로고    scopus 로고
    • A mathematical model of atherogenesis as an inflammatory response
    • Ibragimov A.I., McNeal C.J., Ritter L.R., Walton J.R. A mathematical model of atherogenesis as an inflammatory response. Math. Med. Biol. J. IMA 2005, 22(December (4)):305-333.
    • (2005) Math. Med. Biol. J. IMA , vol.22 , Issue.DECEMBER 4 , pp. 305-333
    • Ibragimov, A.I.1    McNeal, C.J.2    Ritter, L.R.3    Walton, J.R.4
  • 16
    • 0027261204 scopus 로고
    • Role of endogenous platelet-derived growth factor in arterial smooth muscle cell migration after balloon catheter injury
    • Jackson C.L., Raines E.W., Ross R., Reidy M.A. Role of endogenous platelet-derived growth factor in arterial smooth muscle cell migration after balloon catheter injury. Arteriosclerosis Thromb. Vasc. Biol. 1993, 13:1218-1226.
    • (1993) Arteriosclerosis Thromb. Vasc. Biol. , vol.13 , pp. 1218-1226
    • Jackson, C.L.1    Raines, E.W.2    Ross, R.3    Reidy, M.A.4
  • 17
    • 0037812736 scopus 로고    scopus 로고
    • Kluwer Academic Publishers, J.F. Keaney (Ed.)
    • Oxidative Stress and Vascular Disease 2000, Kluwer Academic Publishers. J.F. Keaney (Ed.).
    • (2000) Oxidative Stress and Vascular Disease
  • 20
    • 0033026854 scopus 로고    scopus 로고
    • Fibrous cap formation or destruction-the critical importance of vascular smooth muscle cell proliferation, migration and matrix formation
    • Newby A.C., Zaltsman A.B. Fibrous cap formation or destruction-the critical importance of vascular smooth muscle cell proliferation, migration and matrix formation. Cardiovasc. Res. 1999, 41(February (2)):345-360.
    • (1999) Cardiovasc. Res. , vol.41 , Issue.FEBRUARY 2 , pp. 345-360
    • Newby, A.C.1    Zaltsman, A.B.2
  • 22
    • 0029584674 scopus 로고
    • A mechanochemical model for adult dermal wound contraction and the permanence of the contracted tissue displacement profile
    • Olsen Luke, Sherratt Jonathan A., Maini Philip K. A mechanochemical model for adult dermal wound contraction and the permanence of the contracted tissue displacement profile. J. Theor. Biol. 1995, 177(2):113-128.
    • (1995) J. Theor. Biol. , vol.177 , Issue.2 , pp. 113-128
    • Olsen, L.1    Sherratt, J.A.2    Maini, P.K.3
  • 23
    • 77955171002 scopus 로고    scopus 로고
    • An ODE model of early stages of atherosclerosis: mechanisms of the inflammatory response
    • Ougrinovskaia, Anna, Thompson, Rosemary S., Myerscough, Mary R., May
    • Ougrinovskaia, Anna, Thompson, Rosemary S., Myerscough, Mary R., May 2010. An ODE model of early stages of atherosclerosis: mechanisms of the inflammatory response. Bull. Math. Biol. 1534-1561.
    • (2010) Bull. Math. Biol , pp. 1534-1561
  • 24
    • 0141733263 scopus 로고    scopus 로고
    • Kinetic analysis of platelet-derived growth factor receptor/phosphoinositide 3-kinase/Akt signaling in fibroblasts
    • Park Chang Shin, Schneider Ian C., Haugh Jason M. Kinetic analysis of platelet-derived growth factor receptor/phosphoinositide 3-kinase/Akt signaling in fibroblasts. J. Biol. Chem. 2003, 278(September (39)):37064-37072.
    • (2003) J. Biol. Chem. , vol.278 , Issue.SEPTEMBER 39 , pp. 37064-37072
    • Park, C.S.1    Schneider, I.C.2    Haugh, J.M.3
  • 26
    • 28544448768 scopus 로고    scopus 로고
    • Quantitative elucidation of a distinct spatial gradient-sensing mechanism in fibroblasts
    • Schneider Ian C., Haugh Jason M. Quantitative elucidation of a distinct spatial gradient-sensing mechanism in fibroblasts. J. Cell Biol. 2005, 171(December (5)):883-892.
    • (2005) J. Cell Biol. , vol.171 , Issue.DECEMBER 5 , pp. 883-892
    • Schneider, I.C.1    Haugh, J.M.2
  • 27
    • 0028863534 scopus 로고
    • Pharmacological inhibition of restenosis. learning from experience
    • Shaw L.A., Rudin M., Cook N.S. Pharmacological inhibition of restenosis. learning from experience. Trends Pharmacol. Sci. 1995, 16(December (12)):401-404.
    • (1995) Trends Pharmacol. Sci. , vol.16 , Issue.DECEMBER 12 , pp. 401-404
    • Shaw, L.A.1    Rudin, M.2    Cook, N.S.3
  • 28
    • 0026455166 scopus 로고
    • Time course and cellular characteristics of the iliac artery response to acute balloon injury. An angiographic, morphometric, and immunocytochemical analysis in the cholesterol-fed New Zealand white rabbit
    • Stadius M.L., Rowan R., Fleischhauer J.F., Kernoff R., Billingham M., Gown A.M. Time course and cellular characteristics of the iliac artery response to acute balloon injury. An angiographic, morphometric, and immunocytochemical analysis in the cholesterol-fed New Zealand white rabbit. Arteriosclerosis Thromb. Vasc. Biol. 1992, 12:1267-1273.
    • (1992) Arteriosclerosis Thromb. Vasc. Biol. , vol.12 , pp. 1267-1273
    • Stadius, M.L.1    Rowan, R.2    Fleischhauer, J.F.3    Kernoff, R.4    Billingham, M.5    Gown, A.M.6
  • 29
    • 0034045858 scopus 로고    scopus 로고
    • Interstitial flow through the internal elastic lamina affects shear stress on arterial smooth muscle cells
    • Tada S., Tarbell J.M. Interstitial flow through the internal elastic lamina affects shear stress on arterial smooth muscle cells. Am. J. Physiol. Heart Circ. Physiol. 2000, 278:H1589-H1597.
    • (2000) Am. J. Physiol. Heart Circ. Physiol. , vol.278
    • Tada, S.1    Tarbell, J.M.2
  • 33
    • 84889390329 scopus 로고    scopus 로고
    • Blackwell Futura, R. Virmani, J. Narula, M.B. Leon, J.T. Willerson (Eds.)
    • The Vulnerable Atherosclerotic Plaque 2007, Blackwell Futura. R. Virmani, J. Narula, M.B. Leon, J.T. Willerson (Eds.).
    • (2007) The Vulnerable Atherosclerotic Plaque


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.