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] [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. [CrossRef] [PubMed] [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. [CrossRef] [PubMed] [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. [PubMed] [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. [CrossRef] [PubMed] [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]

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