References
- Mitteff, E, Divo, E, and Kassab, A, 2006. "Automated point distribution and parallel segmentation for meshless methods". In: Gamez, B, Ojeda, D, Larrazabal, G, and Cerrolaza, M, eds. Proceedings of CIMENICS 2006, 8th International Congress of Numerical Methods in Engineering and Applied Sciences. Valencia, Venezuela: Sociedad Venezuelana de Methodos Numericos En Engineria; 2006. pp. 93–100.
- El Zahab, Z, Divo, E, and Kassab, A, 2007. "Shape optimization of bypass grafts end-to-side distal anastomosis". In: Inverse Problems, Design and Optimization Symposium. FL, USA: Miami; 2007.
- Belytscho, T, Lu, YY, and Gu, L, 1994. Element-free Galerkin methods, Int. J. Numer. Meth. 37 (1994), pp. 229–256.
- Atluri, SN, and Shen, S, 2002. The Meshless Method. Encino, CA, USA: Tech. Science Press; 2002.
- Atluri, SN, and Zhu, T, 1998. A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics, Computational Mechanics 22 (1998), pp. 117–127.
- Liu, GR, 2003. Mesh Free Methods. Boca Raton, FL, USA: CRC Press; 2003.
- Kansa, EJ, 1990. Multiquadrics – a scattered data approximation scheme with applications to computational fluid dynamics I – surface approximations and partial derivative estimates, Comp. Math. Appl. 19 (1990), pp. 127–145.
- Kansa, EJ, 1990. Multiquadrics – a scattered data approximation scheme with applications to computational fluid dynamics II – solutions to parabolic, hyperbolic and elliptic partial differential equations, Comp. Math. Appl. 19 (1990), pp. 147–161.
- Kansa, EJ, and Hon, YC, 2000. Circumventing the Ill – conditioning problem with multiquadric radial basis functions: applications to elliptic partial differential equations, Comp. Math. Appl. 39 (2000), pp. 123–137.
- Divo, E, and Kassab, A, 2005. A meshless method for conjugate heat transfer, Engi. Anal. 29 (2005), pp. 136–149.
- Sarler, B, Tran-Cong, T, and Chen, CS, 2005. "Mesh free direct and indirect local radial basis function collocation formulations for transport phenomena". In: Kassab, A, Brebbia, CA, and Divo, E, eds. Boundary Elements XVII. Southampton, UK: WIT Press; 2005. pp. 417–428.
- Divo, E, and Kassab, A, 2005. "Modeling of convective and conjugate heat transfer by a third order localized RBF meshless collocation method". In: ASME International Mechanical Engineering Congress and RD & D Expo. Orlando, FL, USA: ASME Paper IMECE 2005 – 82150; 2005.
- Divo, E, and Kassab, AJ, 2008. Localized Meshless Modeling of Natural Convective Viscous Flows, Numerical Heat Transfers, Part B: Fundamentals 53 (2008), pp. 487–509.
- Divo, E, and Kassab, A, 2006. Iterative domain decomposition meshless method modeling of incompressible flows and conjugate heat transfer, Eng. Anal. 30 (2006), pp. 465–478.
- Divo, E, and Kassab, A, 2007. An efficient localized RBF meshless method for fluid flow and conjugate heat transfer, ASME J. Heat Transfer. 129 (2007), pp. 124–136.
- El Zahab, Z, Divo, E, Kassab, A, and Mitteff, E, 2006. "Two-dimensional meshless numerical modeling of the blood flow within arterial end-to-side distal anastomoses". In: ASME International Mechanical Engineering Congress and RD & D Expo. Chicago, IL, USA: ASME Paper IMECE 2006 – 14900; 2006.
- Veith, FJ, Gupta, SK, Ascer, E, White-Flores, S, Samson, RH, Scher, LA, Towne, JB, Bernhard, VM, Bonier, P, Flinn, WR, Astelford, P, Yao, JST, and Bergan, JJ, 1986. Six-year prospective multicenter randomized comparison of autologous saphenous vein and expanded polytetrafluoroethylene grafts in infrainguinal arterial reconstructions, J. Vasc. Surg. 3 (1986), pp. 104–114.
- Sottiurai, VS, Yao, JST, Batson, RC, Sue, SL, Jone, R, and Nakamura, YA, 1989. Distal anastomotic intimal hyperplasia: histopathologic character and biogenesis, Ann. Vasc. Surg. 3 (1989), pp. 26–33.
- Bassiouny, HS, White, S, Glagov, S, Choi, E, Giddens, DP, and Zarins, CK, 1992. Anastomotic intimal hyperplasia: mechanical injury or flow induced, J. Vas. Surg. 15 (1992), pp. 708–716.
- Trubel, W, Schima, H, Czerny, M, Perktold, K, Schimek, MG, and Poltrerauer, P, 2004. Experimental comparison of four methods of end-to-side anastomosis with expanded polytetrafluoroethylene, British J. Surg. 91 (2004), pp. 159–167.
- Lemson, MS, Tordoir, JH, Daemen, MJ, and Kitslaar, PJ, 2000. Intimal hyperplasia in vascular grafts, Eur. J. Vasc. Endovasc. Surg. 19 (2000), pp. 336–350.
- Tardy, Y, Resnick, N, Nagel, T, Gimbrone, MA, and Dewey, CF, 1997. Shear stress gradients remodel endothelial monolayers in vitro via a cell proliferation-migration-loss cycle, Arterioscl, Throm. Vas. 17 (1997), pp. 3102–3106.
- Hsu, PP, Song, L, Li, Y, Usami, S, Ratcliffe, A, Wang, X, and Chien, S, 2001. Effects of flow patterns on endothelial cells migration into a zone of mechanical denudation, Biochem. Biophys. Res. Commun. 285 (2001), pp. 751–759.
- Ojha, M, 1993. Spatial and temporal variations of wall shear stress within and end-to-side arterial anastomoses model, J. Biomech. 26 (1993), pp. 1377–1388.
- Lei, M, Giddens, DP, Jones, SA, Loth, F, and Bassiouny, H, 2001. Pulsatile flow in an end-to-side vascular graft model: comparison of computations with experimental data, J. Biomech. Eng. 123 (2001), pp. 80–87.
- Lei, M, Archie, JP, and Kleinstreuer, C, 1997. Computational design of a bypass graft that minimizes wall shear stress gradients in the region of the distal anastomosis, J. Vasc. Surg. 25 (1997), pp. 637–646.
- O'Brien, T, Walsh, M, and McGloughlin, T, 2005. On reducing abnormal hemodynamics in the femoral end-to-side anastomosis: the influence of mechanical factors, An. Biomed. Eng. 33 (2005), pp. 310–322.
- Rozza, G, 2005. On optimization, control and shape design for an arterial bypass. 47: Int. J. Numer. Meth. Fluids (Bill Morton Prize Paper); 2005, pp. 1411–1419.
- Goldberg, DE, 1989. Genetic Algorithms in Search, Optimization and Machine Learning. MA, USA: Addison-Wesley, Reading; 1989.
- Divo, E, Kassab, AJ, and Ingber, MS, 2003. Shape optimization of acoustic scattering bodies, Eng. Anal. Bound. Elem. 27 (2003), pp. 695–704.
- Djuricic, AB, 1998. Elite genetic algorithms with adaptive mutations for solving continuous optimization problems – application to modeling of the optical constants of solids, Optic. Commun. 151 (1998), pp. 147–159.
- Deb, K, Pratrep, A, Agarwal, S, and Meyarivan, T, 2002. A fast and elitist multiobjective genetic algorithm: NSGA II, IEEE Trans. Evolut. Comput. 6 (2002), pp. 182–197.
- Zitzler, E, Deb, K, and Thiele, L, 2000. Comparison of multiobjective evolutionary algorithms, Evolut. Comput. 8 (2000), pp. 173–195.
- Divo, E, Kassab, AJ, and Rodriguez, F, 2000. Characterization of space dependent thermal conductivity with a BEM-based genetic algorithm, Numer. Heat Trans. A: Appl. 37 (2000), pp. 845–877.
- Kleinstreuer, C, Hyun, S, Buchanan, JR, Longest, PW, Archie, JP, and Truskey, GA, 2001. Hemodynamics parameters and early intimal thickening in branching blood vessels, Crit. Rev. Biomed. Eng. 29 (2001), pp. 1–64.
- Raptis, M, and Miller, JH, 1995. Influence of a vein cuff on ploytetrafluoroethylene grafts for primary femoropopliteal bypass, British J. Surg. 82 (1995), pp. 487–491.