The application of multiscale modelling to the process of development and prevention of stenosis in a stented coronary artery

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 366, Issue 1879, 2008, Pages 3343-3360

  Evans, D J W ^a   Lawford, P V ^a   Gunn, J ^a   Walker, D ^a   Hose, D R ^a   Smallwood, R H ^a   Chopard, B ^b   Krafczyk, M ^c   Bernsdorf, J ^d   Hoekstra, A ^e  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

^b UNIVERSITY OF GENEVA   (Switzerland)

^c TECHNICAL UNIVERSITY OF BRAUNSCHWEIG   (Germany)

^d NEC LABORATORIES EUROPE   (Germany)

^e UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

Complex automata; Multiscale modelling; Restenosis; Scale separation map

Indexed keywords

AGGLOMERATION; CELLULAR AUTOMATA; FINANCIAL DATA PROCESSING; LANDFORMS; OPTICAL TELESCOPES; PATTERN RECOGNITION SYSTEMS; SEPARATION; SURFACE MORPHOLOGY; WEIGHT CONTROL;

AGENT BASED MODELLING; BIO-MEDICAL SYSTEMS; BIOLOGICAL PROCESSING; COMPLEX AUTOMATA; CORONARY ARTERIES; GENERIC DESCRIPTION; HIERARCHICAL AGGREGATION; IN-STENT RESTENOSIS; INHERENT COMPLEXITY; MULTI SCALING; MULTI-SCALE MODELING; MULTI-SCALE SYSTEMS; MULTISCALE MODELLING; RESTENOSIS; SCALE SEPARATION; SCALE SEPARATION MAP; SCALE SYSTEM; SIMULATION TECHNIQUES; SPATIAL SCALING; TEMPORAL CHARACTERISTICS;

CHLORINE COMPOUNDS;

ARTICLE; BIOLOGICAL MODEL; BLOOD VESSEL PROSTHESIS; COMPUTER SIMULATION; CORONARY ARTERY DISEASE; CORONARY BLOOD VESSEL; HUMAN; PATHOPHYSIOLOGY; RESTENOSIS; STENT;

BLOOD VESSEL PROSTHESIS; COMPUTER SIMULATION; CORONARY ARTERY DISEASE; CORONARY RESTENOSIS; CORONARY VESSELS; HUMANS; MODELS, CARDIOVASCULAR; STENTS;

EID: 49549114073     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2008.0081     Document Type: Article

References (53)

1. Bassingthwaighte, J. B., Chizeck, H. J. & Atlas, L. 2006 Strategies and tactics in multiscale modeling of cell-to-organ systems. Proc. IEEE 94, 819-831. (doi:10.1109/JPROC2006.871775)
2. BCIS 2007 British Cardiovascular Intervention Society. See http://www.bcis.org.uk/.
3. Bernstein, A., Hing, E., Moss, A., Allen, K., Siller, A.& Tiggle, R. 2003 Health care in America: trends in utilization. Hyattsville, MD: National Center for Health Statistics.
4. BHF 2007 British Heart Foundation Statistics. See http://www.heartstats. org/homepage.asp.
5. Bienvenu, J.-G., Tanguay, J. F., Chauvet, P. & Merhi, Y. 2001 Relationship between platelets and neutrophil adhesion and neointimal growth after repeated arterial wall injury induced by angioplasty in pigs. J. Vasc. Res. 38, 153-162. (doi:10.1159/000051042)
6. Campbell, G. R., Campbell, J. H., Manderson, J. A., Horrigan, S.& Rennick, R. E. 1988 Arterial smooth muscle. A multifunctional mesenchymal cell. Arch. Pathol. Lab. Med. 112, 977-986.
7. Carlsson, J., von Wagenheim, B., Linder, R., Anwari, T. M., Qvist, J., Petersson, I., Magounakis, T.& Lagerqvist, B. 2006 Is late stent thrombosis in drug-eluting stents a real clinical issue? a single-center experience and review of the literature. Clin. Res. Cardiol. 96, 86-93. (doi:10. 1007/s00392-007-0464-x)
8. Dean, C. J., Morton, A. C., Arnold, N. D., Hose, D. R., Crossman, D. C&Gunn, J. 2005 Relative importance of the components of stent geometry to stretch induced in-stent neointima formation. Heart 91, 1603-1604. (doi:10.1136/hrt.2004.047050)
9. Di Ventura, B., Lemerle, C., Michalodimitrakis, K.&Serrano, L. 2006 From in vivo to in silica biology and back. Nature 443, 527-533. (doi:10.1038/nature05127)
10. Eisenberg, M. J., Ryan, J.&Cohen, D. J. 2006 Drug-eluting stents: the price is not right. Circulation 114, 1745 1754. (doi:10.1161/CIRCULATIONAHA.106.646190)
11. Farb, A., Sangiorgi, G., Carter, A. J., Walley, V. M., Edwards, W. D., Schwartz, R. S.&Virmani, R. 1999 Pathology of acute and chronic coronary stenting in humans. Circulation 99, 44-52.
12. Fazekas, C., Kozmann, G.&Hangos, K. M. 2007 Multiscale modeling and time-scale analysis of a human limb. Multiscale Model. Simul. 6, 761-791. (doi:10.1137/060665440)
13. Finkelstein, A., Hetherington, J., Li, L., Margoninski, O., Saffrey, P., Seymour, R.&Warner, A. 2004 Computational challenges of systems biology. IEEE Comput. 37, 26-33. (doi:10.1109/MC 2004.1297236)
14. Forrester, J. S., Fishbein, M., Helfant, R. & Fagin, J. 1991 A paradigm for restenosis based on cell biology: clues for the development of new preventive therapies. J. Am. Coll. Cardiol. 17, 758-769.
15. Ge, J., Shen, C., Liang, C., Chen, L., Qian, J. & Chen, H. 2006 Elevated matrix metalloproteinase expression after stent implantation is associated with restenosis. Int. J. Cardiol. 112, 85-90. (doi:10.1016/j.ijcard.2005.10.016)
16. Goncharova, E. A., Ammit, A. J., Irani, C., Carroll, R. G., Eszterhas, A. J., Panettieri, R. A. & Krymskaya, V. P. 2002 PI3K is required for proliferation and migration of human pulmonary vascular smooth muscle cells. Am. J. Physiol. Lung Cell. Mol. Physiol. 283, L354-L363. (doi:10. 1152/ajplung.00010.2002)
17. Grimm, V. et al. 2005 Pattern-oriented modeling of agent-based complex systems: lessons from ecology. Science 310, 987-991. (doi:10.1126/science.1116681)
18. Haga, J. H., Li, Y. S. & Chien, S. 2007 Molecular basis of the effects of mechanical stretch on vascular smooth muscle cells. J. Biomech. 40, 947 960. (doi:10.1016/j.jbiomech.2006.04.011)
19. Harrison, S. E., Smith, S. M., Bernsdorf, J., Hose, D. R. & Lawford, P. V. 2007 Application and validation of the lattice Boltzmann method for modelling flow-related clotting. J. Biomech. 40, 3023-3028. (doi:10.1016/j.jbiomech.2007.01.026)
20. Hoekstra, A., Lorenz, E., Falcone, J. & Chopard, B. 2007 Towards a complex automata framework for multi-scale modeling: formalism and the scale separation map. Int. J. Multiscale Comp. Eng. 5, 491-502. (doi:10.1615/IntJMultCompEng.v5.i6.60)
21. Hose, D., Narracott, A., Griffiths, B., Mahmood, S., Gunn, J., Sweeney, D. & Lawford, P. 2004 A thermal analogy for modelling drug elution from cardiovascular stents. Comput. Methods Biomech. Biomed. Eng. 7, 257-264. (doi:10.1080/10255840412331303140)
22. Hunter, P. & Nielson, P. 2005 A strategy for integrated computational physiology. Physiology 20, 316-325. (doi:10.1152/physiol.00022. 2005)
23. Hunter, P. J., Li, W. W., McCulloch, A. D. & Noble, D. 2006 Multiscale modeling: physiome project standards, tools, and databases. IEEE Comput. 39, 48-54. (doi:10.1109/MC2006.392)
24. Ilachinski, A. 2001 Cellular automata: a, discrete universe. Singapore: World Scientific.
25. Indolfi, C., Mongiardo, A., Curdo, A. & Torella, D. 2003 Molecular mechanisms of in-stent restenosis and approach to therapy with eluting stents. Trends Cardiovasc. Med. 13, 142-148. (doi:10.1016/S1050-1738(03) 00038-0)
26. Ingram, G., Cameron, I. & Hangos, K. 2004 Classification and analysis of integrating frameworks in multiscale modelling. Chern. Eng. Sci. 59, 2171-2187. (doi:10.1016/j.ces.2004.02.010)
27. Klurfeld, D. M. 1985 Identification of foam cells in human atherosclerotic lesions as macrophages using monoclonal antibodies. Arch. Pathol. Lab. Med. 109, 445-449.
28. Le Breton, H., Plow, E. F. & Topol, E. J. 1996 Role of platelets in restenosis after percutaneous coronary revascularization. J. Am. Coll. Cardiol. 28, 1643-1651. (doi:10.1016/S0735-1097(96) 00417-2)
29. Leon, M. & Stone, G. 2006 In Presentation at TCT, 25 October 2006. See www.tctmd.com/csportal/ appmanager/tctmd/main?_nfpb= true&_pageLabel=TCTMDContent&hdCon = 1453648.
30. Malik, N., Gunn, J., Holt, C. M., Shepherd, L., Francis, S. E., Newman, C. M., Crossman, D. C. & Cumberland, D. C. 1998 Intravascular stents: a new technique for tissue processing for histology, immunohistochemistry, and transmission electron microscopy. Heart 80, 509 516.
31. Masselot, A. & Chopard, B. 1998 A lattice Boltzmann model for particle transport and deposition. Europhys. Lett. 42, 259-262. (doi:10.1209/epl/i1998-00239-3)
32. Merks, R., Hoekstra, A., Kaandorp, J. & Sloot, P. 2003 Models of coral growth: spontaneous branching, compactification and the Laplacian growth assumption. J. Theor. Biol. 224, 153-166. (doi:10.1016/S0022- 5193(03)00140-1)
33. Morton, A. C., Crossman, D. & Gunn, J. 2004 The influence of physical stent parameters upon restenosis. Pathol. Biol. (Paris) 52, 196-205. (doi:10.1016/j.patbio.2004.03.013)
34. Mudra, H., Regar, E., Klauss, V., Werner, F., Henneke, K. H., Sbarouni, E. & Theisen, K. 1997 Serial follow-up after optimized ultrasound-guided deployment of Palmaz-Schatz stents. In-stent neointimal proliferation without significant reference segment response. Circulation 95, 363-370.
35. Napoli, C. D'Armiento, F. P., Mancini, F. P., Postiglione, A., Witztum, J. L., Palumbo, G. & Palinski, W. 1997 Fatty streak formation occurs in human fetal aortas and is greatly enhanced by maternal hypercholesterolemia. J. Clin. Invest. 100, 2680 2690. (doi:10.1172/JCI119813)
36. Noble, D. 2002 Modeling the heart-from genes to cells to the whole organ. Science 295, 1678-1682. (doi:10.1126/science.1069881)
37. OECD 2007 Organisation for Economic Co-operation and Development. See http://www.oecd.org.
38. Parfyonova, Y., Plekhanova, O., Solomatina, M., Naumov, V., Bobik, A., Berk, B. & Tkachuk, V. 2004 Contrasting effects of urokinase and tissue-type plasminogen activators on neointima formation and vessel remodelling after arterial injury. J. Vasc. Res. 41, 268-276. (doi:10.1159/ 000078825)
39. Quarteroni, A. &Veneziani, A. 2003 Analysis of a geometrical multiscale model based on the coupling of ODEs and PDEs for blood flow simulations. Multiscale Model. Simul. 1, 173-195. (doi: 10.1137/S1540345902408482)
40. Sata, M. 2003 Circulating vascular progenitor cells contribute to vascular repair, remodeling, and lesion formation. Trends Cardiovasc. Med. 13, 249-253. (doi:10.1016/S1050-1738(03)00106-3)
41. Sloot, P., Tirado-Ramos, A., Altintas, I., Bubak, M. & Boucher, C. 2006 From molecule to man: decision support in individualized E-health. Computer 39, 40-46. (doi:10.1109/MC.2006.380)
42. Smye, S. W. & Clayton, R. H. 2002 Mathematical modelling for the new millenium: medicine by numbers. Med. Eng. Phys. 24, 565-574. (doi:10.1016/S1350-4533(02)00049-8)
43. Tezduyar, T., Sathe, S., Cragin, T., Nanna, B., Conklin, B., Pausewang, J. &: Schwaab, M. 2007 Modelling of fluid-structure interactions with the space-time finite elements: arterial fluid mechanics. Int. J. Numer. Methods Fluids 54, 901-922. (doi:10.1002/fld.1443)
44. Thyberg, J., Blomgren, K., Hedin, U. & Dryjski, M. 1995 Phenotypic modulation of smooth muscle cells during the formation of neointimal thickenings in the rat carotid artery after balloon injury: an electron-microscopic and stereological study. Cell Tissue Res. 281, 421-433. (doi:10. 1007/BF00417860)
45. Thyberg, J., Blomgren, K., Roy, J., Tran, P. K. & Hedin, U. 1997 Phenotypic modulation of smooth muscle cells after arterial injury is associated with changes in the distribution of laminin and fibronectin. J. Histochem. Cytochem. 45, 837-846.
46. Tölke, J., Krafczyk, M., Schulz, M., Rank, E. & Berrios, R. 1998 Implicit discretization and non-uniform mesh refinement approaches for FD discretizations of LBGK models. Int. J. Mod. Phys. C 9, 1143-1157. (doi:10.1142/S0129183198001059)
47. Walker, D. C., Southgate, J., Hill, G., Holcombe, M., Hose, D. R., Wood, S. M., Mac Neil, S. & Smallwood, R. H. 2004 The epitheliome: agent-based modelling of the social behaviour of cells. Biosystems 76, 89-100. (doi:10.1016/j.biosystems.2004.05.025)
48. Weinan, E., Engquist, B., Li, X., Ren, W. & Vanden-Eijnden, E. 2007 Heterogeneous multiscale methods: a review. Commun. Comput. Phys. 2, 367-450.
49. Welt, F. G. P. & Rogers, C. 2002 Inflammation and restenosis in the stent era. Arterioscler. Thromb. Vase. Biol. 22, 1769-1776. (doi:10.1161/01.ATV.0000037100.44766.5B)
50. Wooldridge, M. 2002 Introduction to midtiagent systems. New York, NY: Wiley.
51. Yokoyama, S., Ikeda, H., Haramaki, N., Yasukawa, H., Murohara, T. & Imaizumi, T. 2005 Platelet P-selectin plays an important role in arterial thrombogenesis by forming large stable plateletleukocyte aggregates. J. Am. Coll. Cardiol. 45, 1280-1286. (doi:10.1016/j.jacc.2004.12.071)
52. Zalewski, A., Shi, Y. & Johnson, A. G. 2002 Diverse origin of intimai cells: smooth muscle cells, myofibroblasts, fibroblasts, and beyond? Circ. Res. 91, 652-655. (doi: 10.1161/01.RES. 0000038996.97287.9A)
53. Zhou, R. H., Lee, T. S., Tsou, T. C., Rannou, F., Li, Y. S., Chien, S. & Shyy, J. Y. 2003 Stent implantation activates Akt in the vessel wall: role of mechanical stretch in vascular smooth muscle cells. Arterioscler. Thromb. Vase. Biol. 23, 2015-2020. (doi:10.1161/01.ATV.0000095161. 06906.ED)