A mathematical model for capillary formation and development in tumor angiogenesis: A review

Chemotherapy

Volumn 52, Issue 1, 2005, Pages 35-37

  Pamuk, Serdal ^a  

^a KOCAELI UNIVERSITY   (Turkey)

Author keywords

Capillary formation; Mathematical modeling; Tumor angiogenesis

Indexed keywords

ANGIOGENESIS; BLOOD VESSEL; CAPILLARY; ENDOTHELIUM CELL; ENZYME DEGRADATION; ENZYME INHIBITION; HUMAN; MATHEMATICAL MODEL; NONHUMAN; PRIORITY JOURNAL; REVIEW;

ANGIOSTATINS; ANIMALS; CAPILLARIES; CORNEA; ENDOTHELIAL CELLS; FIBRONECTINS; MODELS, BIOLOGICAL; NEOPLASMS; NEOVASCULARIZATION, PATHOLOGIC; PEPTIDE HYDROLASES; RABBITS;

EID: 29344458053     PISSN: 00093157     EISSN: None     Source Type: Journal    
DOI: 10.1159/000090241     Document Type: Review

References (5)

1. Levine HA, Pamuk S, Sleeman BD, Nilsen-Hamilton M: Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma. Bull Math Biol 2001;63:801-863.
2. Pamuk S: Qualitative analysis of a mathematical model for capillary formation in tumor angiogenesis. Math Models Methods Appl Sci 2003;13:19-33.
3. Pamuk S: Steady-state analysis of a mathematical model for capillary network formation in the absence of tumor source. Math Biosci 2004;189:21-38.
4. Folkman J: The vascularization of tumors. Sci Am 1976;234:58-64.
5. Ulukaya E, Colakogullari M, Wood EJ: Interference by anti-cancer chemotherapeutic agents in the MTT-tumor chemosensitivity assay. Chemotherapy 2004;50:43-50.