In vitro vasculogenesis models revisited - Measurement of VEGF diffusion in matrigel

Mathematical Modelling of Natural Phenomena

Volumn 4, Issue 4, 2009, Pages 118-130

  Miura, T ^a,b   Tanaka, R ^c  

^a KYOTO UNIVERSITY   (Japan)

^b JST CREST and PRESTO ^*  (Japan)

^c KYOTO UNIVERSITY   (Japan)

Author keywords

diffusion; HUVEC; Matrigel; pattern formation; vascular endothelial growth factor (VEGF)

Indexed keywords

CAPILLARY NETWORK; CHEMOATTRACTANTS; CIRCULATORY SYSTEMS; EXPERIMENTAL MODELS; EXPERIMENTAL SYSTEM; FORM CLUSTERS; HUMAN UMBILICAL VEIN ENDOTHELIAL CELLS; HUVEC; IN-VITRO; LIQUID MEDIUM; MATRIGEL; PATTERN FORMATION; SPATIAL SCALE; THEORETICAL MODELS; VASCULAR ENDOTHELIAL GROWTH FACTOR; VASCULOGENESIS;

BIOCHEMISTRY; ENDOTHELIAL CELLS; LANTHANUM COMPOUNDS; LIQUIDS;

DIFFUSION;

EID: 79960831541     PISSN: 09735348     EISSN: 17606101     Source Type: Journal    
DOI: 10.1051/mmnp/20094404     Document Type: Article

References (22)

1. S. Gilbert. Developmental Biology. Sinauer, Massachusettes, 2003.
2. T. Sadler. Langman's Medical Embryology. Lippincott Williams & Wilkins, Maryland, 9th edition, 2004.
3. J. Murray. Mathematical biology. Springer-Verlag, Berlin, third edition, 2003.
4. W. Aird. Endothelial Biomedicine. Cambridge university press, 2007.
5. D. Manoussaki, S. Lubkin, R. Vernon, J. Murray. A mechanical model for the formation of vascular networks in vitro. Acta Biotheor, 44 (1996) No. 3-4, 271-282. (Pubitemid 27025333)
6. R. Merks, S. Brodsky, M. Goligorksy, S. Newman, J. Glazier. Cell elongation is key to in silico replication of in vitro vasculogenesis and subsequent remodeling. Dev Biol, 289 (2006) No. 1, 44-54. (Pubitemid 41804087)
7. G. Serini, D. Ambrosi, E. Giraudo, A. Gamba, L. Preziosi, F. Bussolino. Modeling the early stages of vascular network assembly. EMBO J, 22 (2003) No. 8, 1771-1779. (Pubitemid 36460134)
8. D. Berk, F. Yuan, M. Leunig, R. Jain. Fluorescence photobleaching with spatial fourier analysis: measurement of diffusion in light-scattering media. Biophys J, 65 (1993) No. 6, 2428-2436. (Pubitemid 24005974)
9. M. Chambard, J. Gabrion, J. Mauchamp. Influence of collagen gel on the orientation of epithelial cell polarity: follicle formation from isolated thyroid cells and from preformed monolayers. J Cell Biol, 91 (1981) No. 1, 157-166. (Pubitemid 12252775)
10. T. Miura. Modulation of activator diffusion by extracellular matrix in turing system. RIMS Kokyuroku Bessatsu, B3 (2007), 165-176.
11. F. Crick. Diffusion in embryogenesis. Nature, 225 (1970) No. 5231, 420-422.
12. G. Reeves, C. Muratov, T. Schuepbach, S. Shvartsman. Quantitative models of developmental pattern formation. Dev Cell, 11 (2006) No. 3, 289-300. (Pubitemid 44283951)
13. H. Buelow, O. Hobert. The molecular diversity of glycosaminoglycans shapes animal development. Annu Rev Cell Dev Biol, 22 (2006), 375-407.
14. A. Okubo. Diffusion and ecological problems: mathematical models. Springer-Verlag, 1980.
15. M. Iida, M. Mimura, H. Ninomiya. Diffusion, cross-diffusion and competitive interaction. J Math Biol, 53 (2006), 617-641. (Pubitemid 44326894)
16. C. Nicholson, E. Sykova. Extracellular space structure revealed by diffusion analysis. Trends Neurosci, 21 (1998) No. 5, 207-215. (Pubitemid 28191815)
17. R. Thorne, C. Nicholson. In vivo diffusion analysis with quantum dots and dextrans predicts the width of brain extracellular space. Proc Natl Acad Sci U S A, 103 (2006) No. 14, 5567-5572.
18. F. Gelain, D. Bottai, A. Vescovi, S. Zhang. Designer self-assembling peptide nanofiber scaffolds for adult mouse neural stem cell 3-dimensional cultures. PLoS ONE, 1 (2006):e119.
19. P. Iglesias and P. Devreotes. Navigating through models of chemotaxis. Curr Opin Cell Biol, 20 (2008) No. 1, 35-40.
20. I. Barkefors, S. Le Jan, L. Jakobsson, E. Hejll, G. Carlson, H. Johansson, J. Jarvius, J. Park, N. Jeon, J. Kreuger. Endothelial cell migration in stable gradients of vascular endothelial growth factor a and fibroblast growth factor 2: effects on chemotaxis and chemokinesis. J Biol Chem, 283 (2008) No. 20, 13905-13912.
21. J. Park, G. Keller, N. Ferrara. The vascular endothelial growth factor (vegf) isoforms: differential deposition into the subepithelial extracellular matrix and bioactivity of extracellular matrix-bound vegf. Mol Biol Cell, 4 (1993) No. 12, 1317-1326. (Pubitemid 24045761)
22. C. Ruhrberg, H. Gerhardt, M. Golding, R. Watson, S. Ioannidou, H. Fujisawa, C. Betsholtz, D. Shima. Spatially restricted patterning cues provided by heparin-binding vegf-a control blood vessel branching morphogenesis. Genes Dev, 16 (2002) No. 20, 2684-2698.