Skip to main content
Article thumbnail
Location of Repository

A simple mechanistic model of sprout spacing in tumour-associated angiogenesis

By B. Addison-Smith, D. L. S. McElwain and P. K. Maini


This paper develops a simple mathematical model of the siting of capillary sprouts on an existing blood vessel during the initiation of tumour-induced angiogenesis. The model represents an inceptive attempt to address the question of how unchecked sprouting of the parent vessel is avoided at the initiation of angiogenesis, based on the idea that feedback regulation processes play the dominant role. No chemical interaction between the proangiogenic and antiangiogenic factors is assumed. The model is based on corneal pocket experiments, and provides a mathematical analysis of the initial spacing of angiogenic sprouts

Topics: Biology and other natural sciences
Year: 2008
DOI identifier: 10.1016/j.jtbi.2007.08.030
OAI identifier:

Suggested articles


  1. (1996). A mathematical model of the first steps of tumour-related angiogenesis: capillary sprout formation and secondary branching.
  2. (2005). A review of vasculogenesis models. doi
  3. (1998). Angiostatin and endostatin: endothelial cell-specific endogenous inhibitors of angiogenesis and tumor growth.
  4. (2005). Antiangiogenesis in cancer therapy-endostatin and its mechanisms of action. doi
  5. (2006). Antiangiogenic peptides and proteins: from experimental tools to clinical drugs.
  6. (2005). Differential binding of VEGF isoforms to VEGF receptor 2 in the presence of neuropilin-1: a computational model.
  7. (2001). Endostatin regulates branching morphogenesis of renal epithelial cells and ureteric bud.
  8. (1999). Expression of mmp-2 and mmp-9, their inhibitors, and the activator mt1-mmp in primary breast carcinomas.
  9. (1996). Fractal Vasculature and Vascular Network Growth Modeling in Normal and Tumor Tissue.
  10. (1975). Fundamental Aspects of Neoplasia.
  11. (2003). Generation and role of angiostatin in human platelets.
  12. (2005). Generation of biologically active endostatin fragments from human collagen xviii by distinct matrix metalloproteases.
  13. (2003). How tumors make bad blood vessels and stroma. doi
  14. (2003). Introduction to Colloid and Surface Chemistry. doi
  15. (2001). Mathematical modeling of the onset of capillary formation initiating angiogenesis.
  16. (2004). Mathematical modeling of tumor-induced angiogenesis.
  17. (1980). Mathematical Models in Molecular and Cellular Biology. doi
  18. (2003). Modeling the early stages of vascular network assembly. doi
  19. (2000). Secreted cathepsin L generates endostatin from collagen XVIII. doi
  20. (2002). Shedding of the matrix metalloproteinases MMP-2, MMP-9, and MT1-MMP as membrane vesicle-associated components by endothelial cells. doi
  21. (2005). The clinical potential of antiangiogenic fragments of extracellular matrix proteins.
  22. (1998). The short and long forms of type xviii collagen show clear eoretical
  23. (1998). Tie2 receptor ligands, angiopoietin-1 and angiopoietin-2, modulate VEGF-induced postnatal neovascularization. doi
  24. (1974). Tumorgrowth and neovascularization—experimental model using rabbit cornea.
  25. (2002). Vascular permeability factor/vascular endothelial growth factor: a critical cytokine in tumour angiogenesis and a potential target for diagnosis and therapy. doi

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.