Analysis of a mathematical model of tumor lymphangiogenesis

Mathematical Models and Methods in Applied Sciences

Volumn 15, Issue 1, 2005, Pages 95-107

  Friedman, Avner ^a   Lolas, Georgios ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

Lymphangiogenesis; Parabolic equations; Tumor invasion

Indexed keywords

EID: 12144264054     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202505003915     Document Type: Article

References (5)

1. A. Friedman, Partial Differential Equations (Holt, Reinhart and Winston, 1969; reprinted by Krieger, 1976).
2. O. A. Ladyzhenskaya, V. A. Solonnikov and N. N. Uraltseva, Linear and Quasilinear Equations of Parabolic Type (Amer. Math. Soc., 1969).
3. H. A. Levine, B. D. Sleeman and M. Nislen-Hamilton, Mathematical modeling of the onset of capillary formation initiating angiogenesis, J. Math. Biol. 42 (2001) 195-238.
4. H. A. Levine, S. Pamuk, B. D. Sleeman and M. Nislen-Hamilton, Mathematical modeling of capillary formation and development in tumor angiogenesis: Penetration into the stroma, Bull. Math. Biol. 63 (2001) 801-863.
5. G. Lolas and A. Friedman, Lymphangiogenesis in tumors: A mathematical model, to appear.