메뉴 건너뛰기




Volumn 71, Issue 6, 2011, Pages 2312-2333

Model reduction strategies enable computational analysis of controlled drug release from cardiovascular stents?

Author keywords

Biomedical applications; Computational analysis; Mass transfer; Multiscale modeling

Indexed keywords

ARTERIAL WALL; BIOMEDICAL APPLICATIONS; CARDIOVASCULAR STENTS; CLINICAL COMPLICATIONS; COMPLEX DESIGNS; COMPUTATIONAL ANALYSIS; CONTROLLED DRUG RELEASE; DRUG RELEASE; DRUG-ELUTING STENTS; LUMPED PARAMETER; MODEL REDUCTION STRATEGIES; MULTI-SCALE MODELING; MULTISCALES; ONE-DIMENSIONAL (1D) MODELS; SINGULAR BEHAVIOR; SMALL DIFFUSION; THREE-DIMENSIONAL (3D) MODEL;

EID: 84855502746     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/10081695X     Document Type: Article
Times cited : (25)

References (36)
  • 1
    • 20444432377 scopus 로고    scopus 로고
    • Strut position, blood flow, and drug deposition: Implications for single and overlapping drug-eluting stents
    • DOI 10.1161/CIRCULATIONAHA.104.512475
    • B. BALAKRISHNAN, A. R. TZAFRIRI, P. SEIFERT, A. GROOTHUIS, C. ROGERS, AND E. R. EDELMAN, Strut position, blood flow, and drug deposition. Implications for single and overlapping drug-eluting stents, Circulation, 111(2005), pp. 2958-2965. (Pubitemid 40814189)
    • (2005) Circulation , vol.111 , Issue.22 , pp. 2958-2965
    • Balakrishnan, B.1    Tzafriri, A.R.2    Seifert, P.3    Groothuis, A.4    Rogers, C.5    Edelman, B.R.6
  • 3
    • 2042428741 scopus 로고    scopus 로고
    • Edge stabilization for Galerkin approximations of convection-diffusion- reaction problems
    • DOI 10.1016/j.cma.2003.12.032, PII S004578250400043X
    • E. BURMAN AND P. HANSBO, Edge stabilization for Galerkin approximations of convectiondiffusion-reaction problems, Comput. Methods Appl. Mech. Engrg., 193(2004), pp. 1437-1453. (Pubitemid 38532243)
    • (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , Issue.15-16 , pp. 1437-1453
    • Burman, E.1    Hansbo, P.2
  • 4
    • 34547929621 scopus 로고    scopus 로고
    • A domain decomposition method based on weighted interior penalties for advection-diffusion-reaction problems
    • DOI 10.1137/050634736
    • E. BURMAN AND P. ZUNINO, A domain decomposition method based on weighted interior penalties for advection-diffusion-reaction problems, SIAM J. Numer. Anal., 44(2006), pp. 1612-1638. (Pubitemid 47264162)
    • (2006) SIAM Journal on Numerical Analysis , vol.44 , Issue.4 , pp. 1612-1638
    • Burman, E.1    Zunino, P.2
  • 5
    • 0032138457 scopus 로고    scopus 로고
    • Controlled drug release asymptotics
    • PII S0036139995293269
    • D. S. COHEN AND T. ERNEUX, Control led drug release asymptotics, SIAM J. Appl. Math., 58(1998), pp. 1193-1204. (Pubitemid 128689429)
    • (1998) SIAM Journal on Applied Mathematics , vol.58 , Issue.4 , pp. 1193-1204
    • Cohen, D.S.1    Erneux, T.2
  • 7
    • 84855481645 scopus 로고    scopus 로고
    • Finite element approximation of elliptic problems with dirac measure terms in weighted spaces. Applications to 1D-3D coupled problems
    • SIAM J. Numer. Anal., submitted
    • C. D'ANGELO, Finite Element Approximation of Elliptic Problems with Dirac Measure Terms in Weighted Spaces. Applications to 1D-3D Coupled Problems, MOX report 39/2010, 2010, SIAM J. Numer. Anal., submitted.
    • (2010) MOX Report 39/2010
    • D'Angelo, C.1
  • 8
    • 50949086155 scopus 로고    scopus 로고
    • On the coupling of 1D and 3D diffusion-reaction equations. Application to tissue perfusion problems
    • C. D'ANGELO AND A. QUARTERONI, On the coupling of 1D and 3D diffusion-reaction equations. Application to tissue perfusion problems, Math. Models Methods Appl. Sci., 18(2008), pp. 1481-1504.
    • (2008) Math. Models Methods Appl. Sci. , vol.18 , pp. 1481-1504
    • D'Angelo, C.1    Quarteroni, A.2
  • 10
    • 79952544088 scopus 로고    scopus 로고
    • Robust numerical approximation of coupled Stokes' and Darcy's flows applied to vascular hemodynamics and biochemical transport
    • C. D'ANGELO AND P. ZUNINO, Robust numerical approximation of coupled Stokes' and Darcy's flows applied to vascular hemodynamics and biochemical transport, M2AN Math. Model. Numer. Anal., 45(2011), pp. 447-476.
    • (2011) M2AN Math. Model. Numer. Anal. , vol.45 , pp. 447-476
    • D'Angelo, C.1    Zunino, P.2
  • 11
    • 0000763833 scopus 로고
    • A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting
    • P. DEUFLHARD, A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting, Numer. Math., 22(1974), pp. 289-315.
    • (1974) Numer. Math. , vol.22 , pp. 289-315
    • Deuflhard, P.1
  • 12
    • 0037452233 scopus 로고    scopus 로고
    • Drug-eluting stents in vascular intervention
    • DOI 10.1016/S0140-6736(03)12275-1
    • R. FATTORI AND T. PIVA, Drug-eluting stents in vascular intervention, Lancet, 361(2003), pp. 247-249. (Pubitemid 36126229)
    • (2003) Lancet , vol.361 , Issue.9353 , pp. 247-249
    • Fattori, R.1    Piva, T.2
  • 13
    • 78149280882 scopus 로고    scopus 로고
    • Modeling erosion controlled drug release and transport phenomena in the arterial tissue
    • L. FORMAGGIA, S. MINISINI, AND P. ZUNINO, Modeling erosion controlled drug release and transport phenomena in the arterial tissue, Math. Models Methods Appl. Sci., 20(2010), pp. 1759-1786.
    • (2010) Math. Models Methods Appl. Sci. , vol.20 , pp. 1759-1786
    • Formaggia, L.1    Minisini, S.2    Zunino, P.3
  • 14
    • 0842276877 scopus 로고    scopus 로고
    • Theoretical investigation of drug release from planar matrix systems: Effects of a finite dissolution rate
    • DOI 10.1016/S0168-3659(03)00338-9, PII S0168365903003389
    • G. FRENNING, Theoretical investigation of drug release from planar matrix systems: Effects of a finite dissolution rate, J. Control. Release, 92(2003), pp. 331-339. (Pubitemid 38366154)
    • (2003) Journal of Controlled Release , vol.92 , Issue.3 , pp. 331-339
    • Frenning, G.1
  • 15
    • 0842265899 scopus 로고    scopus 로고
    • Theoretical analysis of the release of slowly dissolving drugs from spherical matrix systems
    • DOI 10.1016/j.jconrel.2003.11.010
    • G. FRENNING, Theoretical analysis of the release of slowly dissolving drugs from spherical matrix systems, J. Control. Release, 95(2004) pp. 109-117. (Pubitemid 38167685)
    • (2004) Journal of Controlled Release , vol.95 , Issue.1 , pp. 109-117
    • Frenning, G.1
  • 16
    • 77958094857 scopus 로고    scopus 로고
    • Modelling of the provisional side-branch stenting approach for the treatment of atherosclerotic coronary bifurcations: Effects of stent positioning
    • D. GASTALDI, S. MORLACCHI, R. NICHETTI, C. CAPELLI, G. DUBINI, L. PETRINI, AND F. MIGLIAVACCA, Modelling of the provisional side-branch stenting approach for the treatment of atherosclerotic coronary bifurcations: Effects of stent positioning, Biomech. Model. Mechanobiol., 9(2010), pp. 551-561.
    • (2010) Biomech. Model. Mechanobiol. , vol.9 , pp. 551-561
    • Gastaldi, D.1    Morlacchi, S.2    Nichetti, R.3    Capelli, C.4    Dubini, G.5    Petrini, L.6    Migliavacca, F.7
  • 18
    • 73049134701 scopus 로고
    • Rate of release of medicaments from ointment bases containing drugs in suspension
    • T. HIGUCHI, Rate of release of medicaments from ointment bases containing drugs in suspension, J. Pharmac. Sci., 50(1961), pp. 874-875.
    • (1961) J. Pharmac. Sci. , vol.50 , pp. 874-875
    • Higuchi, T.1
  • 19
    • 0344893332 scopus 로고
    • Mechanism of sustained-action medication-Theoretical analysis of rate of release of solid drugs dispersed in solid matrices
    • T. HIGUCHI, Mechanism of sustained-action medication-Theoretical analysis of rate of release of solid drugs dispersed in solid matrices, J. Pharmac. Sci., 52(1963), pp. 1145-1149.
    • (1963) J. Pharmac. Sci. , vol.52 , pp. 1145-1149
    • Higuchi, T.1
  • 22
    • 0035979396 scopus 로고    scopus 로고
    • Physiological transport forces govern drug distribution for stent-based delivery
    • C. W. HWANG, D. WU, AND E. R. EDELMAN, Physiological transport forces govern drug distribution for stent-based delivery, Circulation, 104(2001), pp. 600-605. (Pubitemid 32738132)
    • (2001) Circulation , vol.104 , Issue.5 , pp. 600-605
    • Hwang, C.-W.1    Wu, D.2    Edelman, E.R.3
  • 23
    • 26844491024 scopus 로고    scopus 로고
    • Contemporary stent treatment of coronary bifurcations
    • DOI 10.1016/j.jacc.2005.05.080, PII S0735109705017092
    • I. IAKOVOU AND A. COLOMBO, Contemporary stent treatment of coronary bifurcations, J. Am. Coll. Cardiol., 46(2005), pp. 1446-1455. (Pubitemid 41446178)
    • (2005) Journal of the American College of Cardiology , vol.46 , Issue.8 , pp. 1446-1455
    • Iakovou, I.1    Ge, L.2    Colombo, A.3
  • 24
    • 77949512972 scopus 로고    scopus 로고
    • Luminal flow amplifies stent-based drug deposition in arterial bifurcations
    • V. B. KOLACHALAMA, E. G. LEVINE, AND E. R. EDELMAN, Luminal flow amplifies stent-based drug deposition in arterial bifurcations, PLoS One, 4(2009), e8105.
    • (2009) PLoS One , vol.4
    • Kolachalama, V.B.1    Levine, E.G.2    Edelman, E.R.3
  • 25
    • 33750718235 scopus 로고    scopus 로고
    • Computational simulations of local vascular heparin deposition and distribution
    • M. A. LOVICH AND E. R. EDELMAN, Computational simulations of local vascular heparin deposition and distribution, Am. J. Physiol., 271(1996), pp. 214-224.
    • (1996) Am. J. Physiol. , vol.271 , pp. 214-224
    • Lovich, M.A.1    Edelman, E.R.2
  • 26
    • 33646779232 scopus 로고    scopus 로고
    • Modeling in biopharmaceutics pharmacokinetics, and pharmacodynamics
    • Springer, New York
    • P. MACHERAS AND A. ILIADIS, Modeling in Biopharmaceutics, Pharmacokinetics, and Pharmacodynamics, Interdiscip. Appl. Math. 30, Springer, New York, 2006.
    • (2006) Interdiscip. Appl. Math. , vol.30
    • Macheras, P.1    Iliadis, A.2
  • 28
    • 79956219291 scopus 로고
    • Flow patterns around heart valves
    • University of Paris VI and XI, Paris, 1972, Vol. II, Lecture Notes in Phys. 19, Springer, Berlin
    • C. S. PESKIN, Flow patterns around heart valves, in Proceedings of the Third International Conference on Numerical Methods in Fluid Mechanics (University of Paris VI and XI, Paris, 1972), Vol. II, Lecture Notes in Phys. 19, Springer, Berlin, 1973, pp. 214-221.
    • (1973) Proceedings of the Third International Conference on Numerical Methods in Fluid Mechanics , pp. 214-221
    • Peskin, C.S.1
  • 29
    • 0019931907 scopus 로고
    • The fluid dynamics of heart valves: Experimental, theoretical, and computational methods
    • Annual Reviews, Palo Alto, CA
    • C. S. PESKIN, The fluid dynamics of heart valves: Experimental, theoretical, and computational methods, in Annual Review of Fluid Mechanics, Vol. 14, Annual Reviews, Palo Alto, CA, 1982, pp. 235-259.
    • (1982) Annual Review of Fluid Mechanics , vol.14 , pp. 235-259
    • Peskin, C.S.1
  • 30
    • 13844280261 scopus 로고    scopus 로고
    • Mathematical and numerical models for transfer of low-density lipoproteins through the arterial walls: A new methodology for the model set up with applications to the study of disturbed lumenal flow
    • DOI 10.1016/j.jbiomech.2004.04.024, PII S0021929004002313
    • M. PROSI, P. ZUNINO, K. PERKTOLD, AND A. QUARTERONI, Mathematical and numerical models for transfer of low-density lipoproteins through the arterial walls: A new methodology for the model set up with applications to the study of disturbed lumenal flow, J. Biomech., 38(2005), pp. 903-917. (Pubitemid 40253542)
    • (2005) Journal of Biomechanics , vol.38 , Issue.4 , pp. 903-917
    • Prosi, M.1    Zunino, P.2    Perktold, K.3    Quarteroni, A.4
  • 31
    • 0003208019 scopus 로고
    • Numerical approximation of partial differential equations
    • Springer-Verlag, Berlin
    • A. QUARTERONI AND A. VALLI, Numerical Approximation of Partial Differential Equations, Springer Ser. Comput. Math. 23, Springer-Verlag, Berlin, 1994.
    • (1994) Springer Ser. Comput. Math. , vol.23
    • Quarteroni, A.1    Valli, A.2
  • 32
    • 0036709520 scopus 로고    scopus 로고
    • Numerical simulation of local pharmacokinetics of a drug after intravascular delivery with an eluting stent
    • DOI 10.1080/1061186021000038382
    • D. V. SAKHAROV, L. V. KALACHEV, AND D. C. RIJKEN, Numerical simulation of local pharmacokinetics of a drug after intravascular delivery with an eluting stent, J. Drug Targ., 10(2002), pp. 507-513. (Pubitemid 35230201)
    • (2002) Journal of Drug Targeting , vol.10 , Issue.6 , pp. 507-513
    • Sakharov, D.V.1    Kalachev, L.V.2    Rijken, D.C.3
  • 33
    • 76749122249 scopus 로고    scopus 로고
    • A mixture model for water uptake, degradation, erosion, and drug release from polydisperse polymeric networks
    • J. S. SOARES AND P. ZUNINO, A mixture model for water uptake, degradation, erosion, and drug release from polydisperse polymeric networks, Biomaterials, 31(2010), pp. 3032-3042.
    • (2010) Biomaterials , vol.31 , pp. 3032-3042
    • Soares, J.S.1    Zunino, P.2
  • 34
    • 55149085463 scopus 로고    scopus 로고
    • Multiscale boundary conditions for drug release from cardiovascular stents
    • C. VERGARA AND P. ZUNINO, Multiscale boundary conditions for drug release from cardiovascular stents, Multiscale Model. Simul., 7(2008), pp. 565-588.
    • (2008) Multiscale Model. Simul. , vol.7 , pp. 565-588
    • Vergara, C.1    Zunino, P.2
  • 35
    • 3042553029 scopus 로고    scopus 로고
    • Multidimensional pharmacokinetic models applied to the design of drug-eluting stents
    • DOI 10.1023/B:CARE.0000031547.39178.cb
    • P. ZUNINO, Multidimensional pharmacokinetic models applied to the design of drug-eluting stents, Int. J. Cardiovasc. Eng., 4(2004), pp. 181-191. (Pubitemid 38801867)
    • (2004) Cardiovascular Engineering , vol.4 , Issue.2 , pp. 181-191
    • Zunino, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.