Cell proliferation and oxygen diffusion in a vascularising scaffold

Bulletin of Mathematical Biology

Volumn 69, Issue 7, 2007, Pages 2405-2428

  Landman, Kerry A ^a   Cai, Anna Q ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Cell migration; Oxygen transport; Proliferation; Scaffold; Tissue engineering; Vascular

Indexed keywords

ANGIOGENIC FACTOR; OXYGEN;

ALGORITHM; ANGIOGENESIS; ANIMAL; ANOXIA; ARTICLE; BIOLOGICAL MODEL; CELL COUNT; CELL HYPOXIA; CELL MOTION; CELL PROLIFERATION; CHEMISTRY; DIFFUSION; HUMAN; METABOLISM; METHODOLOGY; PHYSIOLOGY; TISSUE CULTURE TECHNIQUE; TISSUE ENGINEERING; TISSUE SCAFFOLD;

ALGORITHMS; ANGIOGENESIS INDUCING AGENTS; ANIMALS; ANOXIA; CELL COUNT; CELL HYPOXIA; CELL MOVEMENT; CELL PROLIFERATION; DIFFUSION; HUMANS; MODELS, BIOLOGICAL; NEOVASCULARIZATION, PHYSIOLOGIC; OXYGEN; TISSUE CULTURE TECHNIQUES; TISSUE ENGINEERING; TISSUE SCAFFOLDS;

EID: 34548696202     PISSN: 00928240     EISSN: 15229602     Source Type: Journal    
DOI: 10.1007/s11538-007-9225-x     Document Type: Article

References (19)

1. Agrawal, C.M., Ray, R.B., 2001. Biodegradable polymeric scaffolds for musculoskeletal tissue engineering. J. Biomed. Mater. Res. 55, 141-150.
2. Balding, D., McElwain, D.L.S., 1985. A mathematical model of tumour-induced capillary growth. J. Theor. Biol. 114, 53-73.
3. Boutilier, R.G., St-Pierre, J., 2000. Surviving hypoxia without really dying. Comp. Biochem. Physiol. Molecular Integr. Physiol. 126, 481-490.
4. Cassell, O.C.S., Morrison, W.A., Messina, A., Penington, A.J., Thompson, E.W., Stevens, G.W., Perera, J.M., Kleinman, H.D., Hurley, J.V., Romeo, R., Knight, K.R., 2001. The influence of extracellular matrix on the generation of vascularized, engineered, transplantable tissue. Ann. New York Acad. Sci. 944, 429-442.
5. Croll, T.I., Gentz, S., Müller, K., Davison, M., O'Connor, A.J., Stevens, G.W., Cooper-White, J., 2005. Modelling oxygen diffusion and cell growth in a porous, vascularising scaffold for soft tissue engineering applications. Chem. Eng. Sci. 60, 4924-4934.
6. Edelstein, L., 1982. The propagation of fungal colonies: a model for tissue growth. J. Theor. Biol. 98, 679-701.
7. Galban, C.J., Locke, B.R., 1997. Analysis of cell growth in a polymer scaffold using a moving boundary approach. Biotechnol. Bioeng. 56, 422-432.
8. Galban, C.J., Locke, B.R., 1999a. Analysis of cell growth kinetics and substrate diffusion in a polymer scaffold. Biotechnol. Bioeng. 65, 121-132.
9. Galban, C.J., Locke, B.R., 1999b. Effects of spatial variation of cells and nutrient and product concentrations coupled with product inhibition on cell growth in a polymer scaffold. Biotechnol. Bioeng. 64, 633-643.
10. Hasirci, V., Berthiaume, F., Bondre, S.P., Gresser, J.D., Trantolo, D.J., Toner, M., Wise, D.L., 2001. Expression of liver-specic functions by rat hepatocytes seededin treatedpoly (lactic-co-glycolic) acid biodegradable foams. Tissue Eng. 7, 385-394.
11. Kellner, K., Liebsch, G., Klimant, I., Wolfbeis, O.S., Blunk, T., Schulz, M.B., Göpferich, A., 2002. Determination of oxygen gradients in engineered tissue using a fluorescent sensor. Biotechnol. Bioeng. 80, 73-83.
12. Langer, R., Vacanti, J.P., 1993. Tissue engineering. Science 260, 920-926.
13. Lewis, M.C., MacArthur, B.D., Malda, J., Pettet, G., Please, C.P., 2005. Heterogeneous proliferation within engineered cartilaginous tissue: the role of oxygen tension. Biotechnol. Bioeng. 91, 607-615.
14. Malda, J., Woodfield, T.B.F., van der Vloodt, F., Kooy, F.K., Martens, D.E., Tramper, J., van der Blitterswijk, C.A., Riesle, J., 2004. The effect of PEGT/PBT scaffold architecture on oxygen gradients in tissue engineered cartilaginous constructs. Biomaterials 25, 5773-5780.
15. Murray, J.D., 2002. Mathematical Biology, vol. 1, 3rd edn. Springer, New York.
16. Patrick, C.W., 2000. Adipose tissue engineering: the future of breast and soft tissue reconstruction following tumor resection. Sem. Surg. Oncol. 19, 302-311.
17. Patrick, C.W., 2001. Tissue engineering strategies for adipose tissue repair. Anat. Rec. 263, 361-366.
18. Pettet, G.J., Byrne, H.M., McElwain, D.L.S., Norbury, J., 1996a. A model of wound-healing angiogenesis in soft tissue. Math. Biosci. 136, 35-63.
19. Pettet, G.J., Chaplain, M.A.J., McElwain, D.L.S., Byrne, H.M., 1996b. On the role of angiogenesis in wound-healing. Proc. Roy. Soc. Lond. B 263, 1487-1493.