We illustrate a mathematical model for the evolution of multicellular tumour spheroids in a host tissue, including the effect of the excess H+ ions and the nutrient dynamics. Both the avascular and the vascular case are considered. The model is a nontrivial generalization of the simple scheme proposed in [K. Smallbone, D.J. Gavaghan, R.A. Gatenby, P.K. Maini, The role of acidity in solid tumour growth and invasion, J. Theoret. Biol. 235 (2005) 476-484]. Many different situations may occur, depending on the values of the physical parameters involved. Existence of solutions and qualitative properties are investigated.
A model combining acid-mediated tumour invasion and nutrient dynamics / L. BIANCHINI; A. FASANO. - In: NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS. - ISSN 1468-1218. - STAMPA. - 10:(2009), pp. 1955-1975. [10.1016/j.nonrwa.2008.03.001]
A model combining acid-mediated tumour invasion and nutrient dynamics
FASANO, ANTONIO
2009
Abstract
We illustrate a mathematical model for the evolution of multicellular tumour spheroids in a host tissue, including the effect of the excess H+ ions and the nutrient dynamics. Both the avascular and the vascular case are considered. The model is a nontrivial generalization of the simple scheme proposed in [K. Smallbone, D.J. Gavaghan, R.A. Gatenby, P.K. Maini, The role of acidity in solid tumour growth and invasion, J. Theoret. Biol. 235 (2005) 476-484]. Many different situations may occur, depending on the values of the physical parameters involved. Existence of solutions and qualitative properties are investigated.
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
