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. [CrossRef]
  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]
  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]
  4. M.A. Chaplain. Mathematical modelling of angiogenesis. Journal of Neurooncology, 50:37-51, 2000. [CrossRef]
  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]
  6. J. Cook. Mathematical Models for Dermal Wound Healing: Wound Contraction and Scar Formation. PhD thesis, University of Washington, 1995.
  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]
  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.
  9. J. Folkman and C. Haudenschild. Angiogenesis in vitro. Nature, 288:551-556, 1980. [CrossRef] [PubMed]
  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]
  11. D. Hanahan. Signaling vascular morphogenesis and maintenance. Science, 227:48-50, 1997. [CrossRef]
  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. [CrossRef] [PubMed]
  13. Y. Lanir. Constitutive equations for fibrous connective tissues. Journal of Biomechanics, 16(1):1-12, 1983. [CrossRef] [PubMed]
  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]
  15. D. Manoussaki. Modelling the formation of vascular networks in vitro. PhD thesis, University of Washington, 1996.
  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. [CrossRef] [PubMed]
  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]
  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.
  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.
  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]
  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. [PubMed]
  22. L. Pardanaud, F. Yassine, and F. Dieterlen-Lievre. Relationship between vasculogenesis, angiogenesis and haemopoiesis during avian ontogeny. Development, 105:473-485, 1989. [PubMed]
  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]
  24. S. Tong and F. Yuan. Numerical simulations of angiogenesis in the cornea. Microvascular Research, 61:14-27, 2001. [CrossRef] [PubMed]
  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.
  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]
  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.

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