Free Access
Issue
ESAIM: M2AN
Volume 37, Number 4, July-August 2003
Special issue on Biological and Biomedical Applications
Page(s) 581 - 599
DOI https://doi.org/10.1051/m2an:2003046
Published online 15 November 2003
  1. S.G. Advani and C.L. Tucker. The use of tensors to describe and predict fiber orientation in short fiber composites. Journal of Rheology, 31:751-784, 1987. [Google Scholar]
  2. A.R. Anderson and M.A. Chaplain. Continuous and discrete mathematical models of tumor-induced angiogenesis. Bulletin of Mathematical Biology, 60:857-900, 1998. [CrossRef] [PubMed] [Google Scholar]
  3. D.H. Ausprunk and J. Folkman. Migration and proliferation of endothelial cells in preformed and newly formed blood vessels during tumour angiogenesis. Microvascular Research, 14:53-65, 1977. [CrossRef] [PubMed] [Google Scholar]
  4. M.A. Chaplain. Mathematical modelling of angiogenesis. Journal of Neurooncology, 50:37-51, 2000. [CrossRef] [Google Scholar]
  5. M.A. Chaplain and A.R. Anderson. Mathematical modelling, simulation and prediction of tumour-induced angiogenesis. Invasion Metastasis, 16(4-5):222-234, 1996. [PubMed] [Google Scholar]
  6. J. Cook. Mathematical Models for Dermal Wound Healing: Wound Contraction and Scar Formation. PhD thesis, University of Washington, 1995. [Google Scholar]
  7. C.J. Drake and A.G. Jacobson. A survey by scanning electron microscopy of the extracellular matrix and endothelial components of the primordial chick heart. Anatomical Record, 222:391-400, 1988. [CrossRef] [Google Scholar]
  8. C.J. Drake and C.D. Little. The morphogenesis of primordial vascular networks. In Charles D. Little, Vladimir Mironov, and E. Helene Sage, editors, Vascular Morphogenesis: In Vivo, In Vitro, In Mente, chapter 1.1, pages 3-19. Birkauser, Boston, MA, 1998. [Google Scholar]
  9. J. Folkman and C. Haudenschild. Angiogenesis in vitro. Nature, 288:551-556, 1980. [CrossRef] [PubMed] [Google Scholar]
  10. E.A. Gaffney, K. Pugh, P.K. Maini, and F. Arnold. Investigating a simple model of cutaneous would healing angiogenesis. Journal of Mathematical Biology, 45:337-374, 2002. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
  11. D. Hanahan. Signaling vascular morphogenesis and maintenance. Science, 227:48-50, 1997. [CrossRef] [Google Scholar]
  12. M.J. Holmes and B.D. Sleeman. A mathematical model of tumor angiogenesis incorporating cellular traction and viscoelastic effects. Journal of Theoretical Biology, 202:95-112, 2000. [Google Scholar]
  13. Y. Lanir. Constitutive equations for fibrous connective tissues. Journal of Biomechanics, 16(1):1-12, 1983. [CrossRef] [PubMed] [Google Scholar]
  14. H.A. Levine, B.D. Sleeman, and M. Nilsen-Hamilton. Mathematical modeling of the onset of capillary formation initiating angiogenesis. Journal of Mathematical Biology, 42:195-238, 2001. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
  15. D. Manoussaki. Modelling the formation of vascular networks in vitro. PhD thesis, University of Washington, 1996. [Google Scholar]
  16. D. Manoussaki, S.R. Lubkin, R.B. Vernon, and J.D. Murray. A mechanical model for the formation of vascular networks in vitro. Acta Biotheoretica, 44(3-4):271-282, 1996. [Google Scholar]
  17. R.R. Markwald, T.P. Fitzharris, D.L. Bolender, and D.H. Bernanke. Sturctural analysis of cell:matrix association during the morphogenesis of atrioventricular cushion tissue. Developmental Biology, 69(2):634-54, 1979. [CrossRef] [PubMed] [Google Scholar]
  18. H. Meinhardt. Models for the formation of netline structures. In Charles D. Little, Vladimir Mironov, and E. Helene Sage, editors, Vascular Morphogenesis: In Vivo, In Vitro, In Mente, chapter 3.1, pages 147-172. Birkauser, Boston, MA, 1998. [Google Scholar]
  19. J.D. Murray, D. Manoussaki, S.R. Lubkin, and R.B. Vernon. A mechanical theory of in vitro vascular network formation. In Charles D. Little, Vladimir Mironov, and E. Helene Sage, editors, Vascular Morphogenesis: In Vivo, In Vitro, In Mente, chapter 3.2, pages 173-188. Birkauser, Boston, MA, 1998. [Google Scholar]
  20. J.D. Murray, G.F. Oster, and A.K. Harris. A mechanical model for mesenchymal morphogenesis. Journal of Mathematical Biology, 17:125-129, 1983. [PubMed] [Google Scholar]
  21. G.F. Oster, J.D. Murray, and A.K. Harris. Mechanical aspects of mesenchymal morphogenesis. Journal of embryology and experimental morphology, 78:83-125, 1983. [Google Scholar]
  22. L. Pardanaud, F. Yassine, and F. Dieterlen-Lievre. Relationship between vasculogenesis, angiogenesis and haemopoiesis during avian ontogeny. Development, 105:473-485, 1989. [PubMed] [Google Scholar]
  23. W. Risau, H. Sariola, H.G. Zerwes, J. Sasse, P. Ekblom, R. Kemler, and T. Doetschmann. Vasculogenesis and angiogenesis in embryonic-system-cell-derived embryoid bodies. Development, 102:471-478, 1988. [PubMed] [Google Scholar]
  24. S. Tong and F. Yuan. Numerical simulations of angiogenesis in the cornea. Microvascular Research, 61:14-27, 2001. [Google Scholar]
  25. R.B. Vernon, J.C. Angello, M.L. Iruela-Arispe, T.F. Lane, and E.H. Sage. Reorganization of basement membrane matrices by cellular traction promotes the formation of cellular networks in vitro. Laboratory Investigation, 66(5):536-547, 1992. [Google Scholar]
  26. R.B. Vernon, S.L. Lara, C.J. Drake, M.L. Iruela-Arispe, J.C. Angello, C.D. Little, T.N. Wight, and E.H. Sage. Organized type I collagen influences endothelial patterns during `spontaneous angiogenesis in vitro': Planar cultures as models of vascular development. In Vitro Cellular and Developmental Biology, 31(2):120-131, 1995. [CrossRef] [Google Scholar]
  27. R.B. Vernon and E.H. Sage. Between molecules and morphology: extracellular matrix and the creation of vascular form. American Journal of Pathology, 147:873-883, 1995. [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.

Recommended for you