A mathematical model for the roles of pericytes and macrophages in the initiation of angiogenesis. I. The role of protease inhibitors in preventing angiogenesis

Mathematical Biosciences

Volumn 168, Issue 1, 2000, Pages 77-115

  Levine, Howard A ^a   Sleeman, Brian D ^b   Nilsen Hamilton, Marit ^a  

^a IOWA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

Angiogenesis; Angiostatins; Michaelis Menten enzyme kinetics; Reinforced random walks; Tumor growth

Indexed keywords

ANGIOGENESIS INHIBITOR; ANGIOSTATIN; PROTEINASE INHIBITOR;

ANGIOGENESIS; ARTICLE; CALCULATION; CHEMICAL REACTION; MACROPHAGE; MATHEMATICAL ANALYSIS; MICHAELIS MENTEN KINETICS; PERICYTE; PROTEIN DEGRADATION; THEORY; TUMOR VASCULARIZATION;

ANGIOGENESIS INDUCING AGENTS; CHEMOTAXIS; ENDOTHELIUM, VASCULAR; FIBRONECTINS; HUMANS; KINETICS; MACROPHAGES; MODELS, BIOLOGICAL; NEOVASCULARIZATION, PATHOLOGIC; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; PERICYTES; PROTEASE INHIBITORS;

EID: 0033731143     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0025-5564(00)00034-1     Document Type: Article

References (34)

1. Mammary gland
2. Modelling the growth and form of capillary networks
3. Migration and proliferation of endothelial cells in performed and newly formed blood vessels during tumor angiogenesis
4. Coordinated induction of VEGF receptors in mesenchymal cell types during rat hepatic wound healing
5. Chemotaxis of aortic endothelial cells in response to fibronectin
6. The role of the pericyte in wound healing: An ultra-structural study
7. Reinforced random walks
8. Angiogenesis-retrospect and outlook
9. Proteolytic activities of human fibroblast collagenaise, hydrolysis of a broad range of substrates at a single active site
10. Enhancement of the surface expression of tumor necrosis factor alpha (TNF-α) but not the p55TNF-α receptor in the THP-1 monocytic cell line by matrix metalloprotease inhibitors
11. Patterns and emerging mechanisms of the angiogenic switch during tumorigenesis
12. Basement membrane collagen: Degradation by migrating endothelial cells
13. Vascular endothelial growth factor receptor KDR tyrosine kinase activity is increased by autophosporilation of two activation loop tyrosine residues
14. Plasmin desensitization of the PAR1 thrombin receptor: Kinetics, sites of truncation, and implications for thrombolytic therapy
15. Regulation of angiogenesis by growth factors
16. Mathematical modeling of capillary formation and development in tumor angiogenesis
17. A system of reaction diffusion equations arising in the theory of reinforced random walks
18. Mathematical modeling of the onset of capillary formation initiating angiogenesis
19. Inhibitors of angiogenesis enter phase III testing
20. Vasuclar endothelial cell morphology as an indicator of the pattern of blood flow
21. A mathematical model of the first steps of tumour related angiogenesis: Capillary sprout formation and secondary branching
22. Aggregation, blow up and collapse: The ABC's of taxis and reinforced random walks
23. Tumor related angiogenesis
24. Coronary angiogenesis. From morphology to molecular biology and back
25. Solid tumour growth: A case study in mathematical biology
26. Angiostatin inhibits endothelial and melanoma cellular invasion by blocking matrix-enhanced plasminogen activation
27. Models of epidermal wound healing
28. Pattern formation in cancer
29. Human endothelial cells are chemotactic to endothelial cell growth factor and heparin
30. Enzymatic properties of the phosphorylated urokinase-type plasminogen activator isolated from a human carcinomatous cell line
31. Fibronectins-adhesive glycoproteins of cell surface and blood
32. Different signal transduction properties of KDR and Flt1, two receptors for vascular endothelial cell growth factor