Drug transport in artery walls: A sequential porohyperelastic-transport approach

References

• Balakrishan , B , Tzafriri , AR , Seifert , P , Groothuis , A , Rogers , C and Edelman , ER . 2005 . Strut position, blood flow, and drug deposition. Implications for single and overlapping drug-eluting stents . Circulation , 111 : 2958 – 2965 .
   Google Scholar
• Crank , J . 1975 . The Mathematics of Diffusion , 2nd ed. , Vol. 414 , Oxford Science Publications .
   Google Scholar
• Creel , CJ , Lovich , MA and Edelman , ER . 2000 . Arterial paclitaxel distribution and deposition . Circ. Res. , 86 : 879 – 884 .
   PubMed Web of Science ®Google Scholar
• Fry , DL . 1985 . Mathematical models of arterial transmural transport . Am. J. Physiol. , 248 : H240 – H263 .
   Google Scholar
• Holzapfel , GA , Sommer , G , Gasser , TC and Regitnig , P . 2005 . Determination of the layer-specific mechanical properties of human coronary arteries with non-atherosclerotic intimal thickening, and related constitutive modeling . Am. J. Physiol. , 289 : H2048 – 2058 .
   PubMed Web of Science ®Google Scholar
• Hose , DR , Narracott , AJ , Griffiths , E , Mahmood , S , Gunn , J , Sweeney , D and Lawford , PV . 2004 . A thermal analogy for modeling drug eluting from cardiovascular stents . Comp. Meth. Biomech. Biomed. Eng. , 7 ( 5 ) : 257 – 264 .
   PubMedGoogle Scholar
• Huang , ZJ and Tarbell , MJ . 1997 . Numerical simulation of mass transfer in porous media of blood vessel walls . Am. J. Physiol. , 273 : H464 – H477 .
   Google Scholar
• Humphrey , JD . 2002 . Cardiovascular Solid Mechanics. Cells, Tissues, and Organs , Vol. 757 , Springer .
   Google Scholar
• Hwang , C-W and Edelman , ER . 2002 . Arterial ultrastructure influences transport of locally delivered drugs . Circ. Res. , 90 : 826 – 832 .
   PubMed Web of Science ®Google Scholar
• Hwang , C-W , Wu , D and Edelman , ER . 2001 . Physiological transport forces govern drug distribution for stent-based delivery . Circulation , 104 : 600 – 605 .
   PubMed Web of Science ®Google Scholar
• Joner , M , Finn , AV , Farb , A , Mont , EK , Kolodgie , FD , Ladich , E , Kutys , R , Skorija , K , Gold , HK and Virmani , R . 2006 . Pathology of Drug-Eluting Stents in Humans. Delayed Healing and Late Thrombotic Risk . J. Am. Coll. Cardiol. , 48 : 193 – 202 .
   PubMed Web of Science ®Google Scholar
• Kuh , H-J , Jang , SH , Wientjes , MG and Au , JL-S . 2000 . Computational model of intracellular pharmacokinetics of paclitaxel . J. Pharmacol. Exp. Ther. , 293 ( 3 ) : 761 – 770 .
   PubMed Web of Science ®Google Scholar
• Lauffenburger , DA and Linderman , JJ . 1996 . Receptors. Models for Binding, Trafficking, and Signaling , Vol. 365 , Oxford University Press .
   Google Scholar
• Levin , AD , Vukmirovic , N , Hwang , C-W and Edelman , ER . 2004 . Specific binding to intracellular proteins determines arterial transport properties for rapamycin and paclitaxel . Proc. Natl Acad. Sci. , 101 ( 25 ) : 9463 – 9467 .
   PubMed Web of Science ®Google Scholar
• Lovich , MA and Edelman , ER . 1996 . Computational simulation of local vascular heparin deposition and distribution . Am. J. Physiol. , : 2014
   Google Scholar
• Lovich , MA , Reel , C , Hong , K , Hwang , C-W and Edelman , ER . 2001 . Carrier proteins determine local pharmacokinetics and arterial distribution of paclitaxel . J. Pharmac. Sci. , 90 ( 9 ) : 1324 – 1335 .
   PubMed Web of Science ®Google Scholar
• Moses , JW , Leon , MB , Popma , JJ , Fitzgerald , PJ , Holmes , DR , O'Shaughnessy , C , Caputo , RP , Kereiakes , DJ , Williams , DO , Teirstein , PS , Jaeger , JL and Kuntz , RE . 2003 . Sirolimus-eluting stents versus standard stents in patients with stenosis in a native coronary artery . N. Eng. J. Med , 349 ( 14 ) : 1315 – 1323 .
   PubMed Web of Science ®Google Scholar
• Saltzman , WM . 2001 . Drug Delivery. Engineering Principles for Drug Therapy , Oxford University Press .
   Google Scholar
• Simon , BR , Kaufmann , MV , McAfee , MA and Baldwin , AL . 1993 . Finite element models for arterial wall mechanics . J. Biomech. Eng. , 115 : 489 – 496 .
   PubMed Web of Science ®Google Scholar
• Simon , BR , Kaufmann , MV , McAfee , MA and Baldwin , AL . 1998a . Porohyperelastic finite element analysis of large arteries using ABAQUS . J. Biomech. Eng. , 120 : 296 – 298 .
   PubMed Web of Science ®Google Scholar
• Simon , BR , Kaufmann , MV , McAfee , MA , Baldwin , AL and Wilson , LM . 1998b . Identification and determination of material properties for porohyperelastic analysis of large arteries . J. Biomech. Eng. , 120 : 188 – 194 .
   PubMed Web of Science ®Google Scholar
• Stone , GW , Ellis , SG , Cox , DA , Hermiller , J , O'Shaughnessy , C , Mann , JT , Turco , M , Caputo , R , Bergin , P , Greenberg , J , Popma , JJ and Russell , ME . 2004 . One-year clinical results with the slow-release, polymer-based, paclitaxel-eluting TAXUS stent. The TAXUS-IV trial . Circulation , 109 : 1942 – 1947 .
   PubMed Web of Science ®Google Scholar
• Tada , S and Tarbell , JM . 2000 . Interstitial flow through the internal elastic lamina affects shear stress on arterial smooth muscle cells . Am. J. Physiol. , 278 : H1588 – H1597 .
   Google Scholar
• Tada , S and Tarbell , JM . 2001 . Fenestral pore size in the internal elastic lamina affects transmural flow distribution in the arterial wall . Ann. Biomed. Eng. , 29 : 456 – 466 .
   PubMed Web of Science ®Google Scholar
• Tada , S and Tarbell , JM . 2004 . Internal elastic lamina affects the distribution of macromolecules in the arterial wall: a computational study . Am. J. Physiol. , 287 : H905 – H913 .
   Google Scholar
• Tedgui , A and Lever , MJ . 1984 . Filtration through damaged and undamaged rabbit thoracic aorta . Am. J. Physiol. , 247 : H784 – H791 .
   PubMed Web of Science ®Google Scholar
• Truskey , GA , Yuan , F and Katz , DF . 2004 . Transport Phenomena in Biological Systems , Vol. 793 , Pearson Prentice-Hall .
   Google Scholar
• Zunino , P . 2004 . Multidimensional pharmacokinetic models applied to the design of drug-eluting stents . Cardiovasc. Eng. , 4 ( 2 ) : 181 – 191 .
   Google Scholar