A computational model of FGF-2 binding and HSPG regulation under flow

IEEE Transactions on Biomedical Engineering

Volumn 56, Issue 9, 2009, Pages 2147-2155

  Shen, Wensheng ^a   Zhang, Changjiang ^b   Fannon, Michael W ^c   Forsten Williams, Kimberly ^d   Zhang, Jun ^b  

^a STATE UNIVERSITY OF NEW YORK   (United States)

^b UNIVERSITY OF KENTUCKY   (United States)

^c UNIVERSITY OF KENTUCKY   (United States)

^d Virginia Polytechnic Institute and State University   (United States)

Author keywords

Computer modeling; Convection diffusion reaction; Fibroblast growth factor (FGF 2); Heparan sulfate proteoglycan (HSPG); Incompressible flow

Indexed keywords

CELL SURFACE RECEPTORS; COMPUTATIONAL MODEL; COMPUTER MODELING; CONVECTION DIFFUSION REACTION; EULER SCHEME; FIBROBLAST GROWTH FACTOR; FIBROBLAST GROWTH FACTOR (FGF-2); FLOW CONDITION; FLUID FLOW; GROWTH FACTOR; HEPARAN SULFATE PROTEOGLYCAN (HSPG); HEPARAN SULFATES; NONLINEAR ORDINARY DIFFERENTIAL EQUATION; NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS; ODE SOLVER; PROTEOGLYCANS; RECEPTOR BINDING; SECOND ORDERS; SIMULATION RESULT; TIME-DEPENDENT; TRANSIENT SOLUTIONS;

AIRCRAFT ENGINES; BIOACTIVITY; CELL CULTURE; CELL MEMBRANES; COMPUTER SIMULATION; DIFFUSION; FIBROBLASTS; FLOW RATE; FLOW SIMULATION; INCOMPRESSIBLE FLOW; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PEPTIDES; SURFACE DIFFUSION;

ORDINARY DIFFERENTIAL EQUATIONS;

CELL SURFACE RECEPTOR; FIBROBLAST GROWTH FACTOR 2; FIBROBLAST GROWTH FACTOR RECEPTOR; HEPARAN SULFATE; PROTEOHEPARAN SULFATE;

ARTICLE; BINDING KINETICS; CAPILLARY; CIRCULATION; CONTROLLED STUDY; FLOW RATE; FLUID FLOW; MATHEMATICAL MODEL; MOLECULAR DYNAMICS; MOLECULAR INTERACTION; MOLECULAR MODEL; PREDICTION; PROTEIN BINDING; PROTEIN TRANSPORT; RECEPTOR BINDING; REGULATORY MECHANISM; SIGNAL TRANSDUCTION;

ALGORITHMS; BIOREACTORS; COMPUTER SIMULATION; FIBROBLAST GROWTH FACTOR 2; HEPARAN SULFATE PROTEOGLYCANS; KINETICS; LIGANDS; MODELS, BIOLOGICAL; NONLINEAR DYNAMICS; PROTEIN BINDING; RECEPTORS, FIBROBLAST GROWTH FACTOR; REPRODUCIBILITY OF RESULTS; RHEOLOGY;

EID: 69549118807     PISSN: 00189294     EISSN: None     Source Type: Journal    
DOI: 10.1109/TBME.2008.2002109     Document Type: Article

References (27)

1. T. Browder, C. E. Butterfield, B. M. Draling, B. Shi, B. Marshall, M. S. O'Reilly, and J. Folkman, "Antiangiogenic scheduling of chemotherapy improves efficacy against experimental drug-resistant cancer," Cancer Res., vol.60, pp. 1878-1886, 2000.
2. P. N. Brown, G. D. Byrne, and A. C. Hindmarsh, "VODE: A variable coefficient ODE solver," SIAM J. Sci. Comp., vol.10, pp. 1038-1051, 1989.
3. T. D. Brown, "Techniques for mechanical stimulation of cells in vitro: A review," J. Biomed., vol.33, pp. 3-14, 2000.
4. C. L. Chu, A. L. Goerges, and M. A. Nugent, "Identification of common and specific growth factor binding sites in heparan sulfate proteoglycan," Biochemistry, vol.44, pp. 12203-12213, 2005.
5. C. C. Chua, N. Rahimi, K. Forsten-Williams, and M. A. Nugent, "Heparan sulfate proteoglycans function as receptors for fibroblast growth factor-2 activation of extracellular signal-regulated kinases 1 and 2," Circu. Res., vol.94, pp. 316-323, 2004.
6. C. J. Dowd, C. L. Cooney, and M. A. Nugent, "Heparan sulfate mediates bFGF transport through basement membrane by diffusion with rapid reversible binding," J. Bio. Chem., vol.274, pp. 5236-5244, 1999. (Pubitemid 129501547)
7. S. Elhadj, R.M. Akers, and K. Forsten-Williams, "Chronic pulsatile shear stress alters insulin-like growth factor-I (IGF-I) binding protein release in vitro," Ann. Biom. Eng., vol.31, pp. 163-170, 2003.
8. M. Fannon, K. E. Forsten, and M. A. Nugent, "Potentiation and inhibition of bFGF binding by heparin: A model for regulation of cellular response," Biochemistry, vol.39, pp. 1434-1445, 2000.
9. M. Fannon, K. Forsten-Williams, C. J. Dowd, D. A. Freedman, J. Folkman, and M. A. Nugent, "Binding inhibition of angiogenic factors by heparan sulfate proteoglycans in aqueous humor: Potential mechanism for maintenance of an avascular environment," FASEB J., vol.17, pp. 902-904, 2003.
10. J. H. Ferziger and M. Períc, Computational Methods for Fluid Dynamics. Berlin, Germany: Springer-Verlag, 1999.
11. R. J. Filion and A. S. Popel, "A reaction-diffusion model of basic fibroblast growth factor interactions with cell surface receptors," Ann. Biom. Eng., vol.32, pp. 645-663, 2004.
12. K. E. Forsten, M. Fannon, and M. A. Nugent, "Potential mechanisms for the regulation of growth factor binding by heparin," J. Theo. Biol., vol.205, pp. 215-230, 2000. (Pubitemid 30662921)
13. K. Forsten-Williams, C. C. Chua, and M. A. Nugent, "The kinetics of FGF-2 binding to heparan sulfate proteoglycans and MAP kinase signaling," J. Theo. Biol., vol.233, pp. 483-499, 2005.
14. F. M. Gabhann, M. T. Yang, and A. S. Popel, "Monte Carlo simulations of VEGF binding to cell surface receptors in vitro," Bioch. et Bioph. Acta, vol.1746, pp. 95-107, 2005.
15. D. Hanahan and J. Folkman, "Patterns and emerging mechanisms of the angiogenic switch during tumorigenesis," Cell, vol.86, pp. 353-364, 1996.
16. A. Horowitz, E. Tkachenko, and M. Simons, "Fibroblast growth factor-specific modulation of cellular response by syndecan-4," J. Cell Biol., vol.157, pp. 715-725, 2002.
17. M. Jerebtsova, E. Wong, R. Przygodzki, P. Tang, and P. E. Ray, "A novel role of fibroblast growth factor-2 and pentosan polysulphate in the pathogenesis of intestinal bleeding inmice," Amer. J. Phys. - Heart Circ. Phys., vol.292, pp. H743-H750, 2007.
18. M. A. Lovich and E. R. Edelman, "Computational simulations of local vascular heparin deposition and distribution," Amer. J. Phys. - Heart Circ. Phys., vol.271, pp. H2014-2024, 1996.
19. M. A. Lovich, M. Philbrook, S. Sawyer, E. Weselcouch, and E. R. Edelman, "Arterial heparin deposition: Role of diffusion, convection, and extravascular space," Amer. J. Phys. - Heart Circ. Phys., vol.275, pp. H2236-2242, 1998.
20. Manuel, FiberCell Systems, Inc. [Online]. Available: http://www. fibercellsystems.com
21. S. V. Patankar, Numerical Heat Transfer and Fluid Flow. New York: McGraw-Hill, 1980.
22. B. B. Riley, M. P. Savage, B. K. Simandl, B. B. Olwin, and J. F. Fallon, "Retrobiral expression of FGF-2 (bFGF) affects patterning in chick limb bud," Development, vol.118, pp. 95-104, 1993. (Pubitemid 23191613)
23. J. Schlessinger, "Ligand-induced, receptor-mediated dimerization and activation of EGF receptor," Cell, vol.110, pp. 669-672, 2002. (Pubitemid 35283957)
24. B. Schoeberl, C. Eichler-Jonsson, E. D. Gilles, and G. Muller, "Computational modeling of the dynamics of the MAP kinase cascade activated by surface and internalized EGF receptors," Nat. Biot., vol.20, pp. 370-375, 2002.
25. W. Shen, "Computer simulation and modeling of physical and biological processes using partial differential equations," Ph.D Thesis, Univ. Kentucky, Lexington, KY, 2007.
26. J. E. Tooke and D. W. Milligan, "Capillary flow velocity in leukaemia," Br. Med. J., vol.286, pp. 518-519, 1983.
27. H. S. Wiley, S. Y. Shvartsman, and D. A. Lauffenburger, "Computational modeling of the EGF-receptor system: A paradigm for systems biology," Trends Cell Biol., vol.13, pp. 43-50, 2003.