| Literature DB >> 25128238 |
Leonid Berezansky1, Elena Braverman2, Lev Idels3.
Abstract
For three different types of angiogenesis models with variable delays, we consider either continuous or impulse therapy that eradicates tumor cells and suppresses angiogenesis. For the cancer-free solution, explicit conditions of global stability for the continuous and impulsive systems are obtained, together with delay-dependent estimates for the rates of decay for the tumor volume and pathological angiogenesis.Entities:
Keywords: Angiogenesis; Global stability; Impulsive treatment; Systems of nonlinear nonautonomous delay differential equations
Mesh:
Year: 2014 PMID: 25128238 DOI: 10.1016/j.jtbi.2014.08.012
Source DB: PubMed Journal: J Theor Biol ISSN: 0022-5193 Impact factor: 2.691