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.
| Original language | English |
|---|---|
| Pages (from-to) | 13-21 |
| Number of pages | 9 |
| Journal | Journal of Theoretical Biology |
| Volume | 363 |
| DOIs | |
| State | Published - 21 Dec 2014 |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 3 Good Health and Well-being
Keywords
- Angiogenesis
- Global stability
- Impulsive treatment
- Systems of nonlinear nonautonomous delay differential equations
ASJC Scopus subject areas
- Statistics and Probability
- Modeling and Simulation
- General Biochemistry, Genetics and Molecular Biology
- General Immunology and Microbiology
- General Agricultural and Biological Sciences
- Applied Mathematics
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