Mechanics and chemotaxis in the morphogenesis of vascular networks

Bulletin of Mathematical Biology

Volumn 68, Issue 7, 2006, Pages 1819-1836

  Tosin, A ^a   Ambrosi, D ^a   Preziosi, L ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

Cell traction; Chemotaxis; Elasticity; Vascular networks; Vasculogenesis

Indexed keywords

COLLAGEN; LAMININ; MATRIGEL; PROTEOGLYCAN;

ALGORITHM; ANGIOGENESIS; ARTICLE; BIOLOGICAL MODEL; BIOMECHANICS; CELL ADHESION; CELL COUNT; CELL MOTION; CHEMOTAXIS; CYTOLOGY; DRUG COMBINATION; ELASTICITY; ENDOTHELIUM CELL; EXTRACELLULAR MATRIX; HUMAN; PHYSIOLOGY;

ALGORITHMS; BIOMECHANICS; CELL ADHESION; CELL COUNT; CELL MOVEMENT; CHEMOTAXIS; COLLAGEN; DRUG COMBINATIONS; ELASTICITY; ENDOTHELIAL CELLS; EXTRACELLULAR MATRIX; HUMANS; LAMININ; MODELS, BIOLOGICAL; NEOVASCULARIZATION, PHYSIOLOGIC; PROTEOGLYCANS;

EID: 33748681719     PISSN: 00928240     EISSN: 15229602     Source Type: Journal    
DOI: 10.1007/s11538-006-9071-2     Document Type: Article

References (26)

1. Ambrosi, D., Gamba, A., Serini, G., 2004. Cell directionality and chemotaxis in vascular morphogenesis. Bull. Math. Biol. 66(6), 1851-1873.
2. Ambrosi, D., Bussolino, F., Preziosi, L., 2005. A review of vasculogenesis models. J. Theor. Med. 6(1), 1-19.
3. Bischofs, I.B., Schwartz, U.S., 2003. Cell organization in soft media due to active mechanosensing. PNAS, 100, 9274-9279.
4. Friedl, P., Wolf, K., 2003. Tumour-cell invasion and migration: Diversity and escape mechanisms. Nat. Rev. Cancer 3, 362-374.
5. Ferrenq, I., Tranqui, L., Vailhe, B., Gumery, P.Y., Tracqui, P., 1997. Modelling biological gel contraction by cells: Mechanocellular formulation and cell traction quantification. Acta Biotheor. 45, 267-293.
6. Gamba, A., Ambrosi, D., Coniglio, A., de Candia, A., Di Talia, S., Giraudo, E., Serini, G., Preziosi, L., Bussolino, F., 2003. Percolation, morphogenesis and Burgers dynamics in blood vessels formation. Phys. Rev. Lett. 90, 11810/1-4.
7. Galbraith, G.G., Sheetz, M.P., 1997. A micromachined device provides a new bend on fibroblast traction forces. PNAS Cell Biol. 94, 9114-9118.
8. Gazit, Y., Berk, D.A., Leunig, M., Baxter, L.T., Jain, R.K., 1995. Scale-invariant behavior and vascular network formation in normal and tumor tissue. Phys. Rev. E 75, 2428-2431.
9. Grant, D., Tashiro, K., Segui-Real, B., Yamada, Y., Martin, G., Kleinman, H., 1989. Two different laminin domains mediate the differentiation of human endothelial cells into capillary-like structures in vitro. Cell 58, 933-943.
10. Gurtin, M.E., 1972. The linear theory of elasticity. In: Flügge, S. (Ed.), Handbuch der Physik, Vol. VI a/2. Springer Verlag, Berlin.
11. Helmlinger, G., Endo, M., Ferrara, N., Hlatky, L., Kain, R.K., 2000. Formation of endothelial cell networks. Nature 405, 139-141.
12. Hendrix, M.J.C., Seftor, E.A., Meltzer, P.S., Gardner, L.M.G., Hess, A.R., Kirschmann, D.A., Sachatteman, G.C., Seftor, R.E.B., 2001. Expression and functional significance of VE-cadherin in aggressive human melanoma cells: Role in vasculogenic mimicry. Proc. Natl. Acad. Sci. USA 98, 8018-8024.
13. Kubota, Y., Kleinman, H., Martin, G., Lawley, T., 1988. Role of laminin and basement membrane in the morphological differentiation of human endothelial cells into capillary-like structures. J. Cell Biol. 107, 1589-1598.
14. Kowalczyk, R., 2005. Preventing blow-up in a chemotaxis model. J. Math. Anal. Appl. 305, 566-588.
15. Manoussaki, D., 2003. A mechanochemical model of angiogenesis and vasculogenesis. ESAIM: Math. Model. Num. Anal. 37(4), 581-600.
16. Manoussaki, D., Lubkin, S.R., Vernon, R.B., Murray, J.D., 1996. A mechanical model for the formation of vascular networks in vitro. Acta Biotheor. 44, 271-282.
17. Mariotis, A.J., Folberg, R., Hess, A., Seftor, E.A., Gardner, L.M.G., Pe'er, J., Trent, J.M., Meltzer, P.S., Hendrix, M.J.C., 1999. Vascular channel formation by human melanoma cells in vivo and in vitro: Vasculogenesis mimicry. Am. J. Pathol. 155, 739-752.
18. Murray, J.D., Oster, G.F., 1984. Cell traction models for generation of pattern and form in morphogenesis. J. Math. Biol. 19, 265-279.
19. Namy, P., Ohayon, J., Tracqui, P., 2004. Critical conditions for pattern formation and in vitro tubulogenesis driven by cellular traction fields. J. Theor. Biol. 227, 103-120.
20. Ruhrberg, C., Gerhardt, H., Golding, M., Watson, R., Ioannidou, S., Fujisawa, H., Betsholtz, C., Shima, D., 2002. Spatially restricted patterning cues provided by heparin-binding VEGF-A control blood vessel branching morphogenesis. Gen. Dev. 16, 2684-2698.
21. Serini, G., Ambrosi, D., Giraudo, E., Gamba, A., Preziosi, L., Bussolino, F., 2003. Modeling the early stages of vascular network assembly. EMBO J. 22, 1771-1779.
22. Sambeth, R., Bamgaertner, A., 2001. Autocatalytic polymerization generates persistent random walk of crawling cells. Phys. Rev. Lett. 86, 5196-5199.
23. Tranqui, L., Tracqui, P., 2000. Mechanical signalling and angiogenesis. The integration of cell-extracellular matrix couplings. C.R. Acad. Sci. Paris, Science de la Vie 323, 31-47.
24. Vailhe, B., Vittet, D., Feige, J.J., 2001. In vitro models of vasculogenesis and angiogenesis. Lab. Invest. 81, 439-452.
25. Webb, D.J., Horwitz, A.F., 2003. New dimensions in cell migration. Nat. Cell Biol. 5, 690-692.
26. Wolf, K., Mazo, I., Leung, H., Engelke, K., von Andrian, U.H., Deryugina, E.I., Strongin, A.Y., Bröcker, E.-B., Friedl, P., 2003. Compensation mechanism in tumor cell migration: Mesenchymal-amoeboid transition after blocking of pericellular proteolysis. J. Cell Biol. 160, 267-277.