The response to antiangiogenic anticancer drugs that inhibit endothelial cell proliferation

DOI10.1016/j.amc.2006.01.061zbMath1101.92026OpenAlexW2026154594MaRDI QIDQ856106

Alberto d'Onofrio, Alberto Gandolfi

Publication date: 7 December 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.01.061

zbMATH Keywords

angiogenesiscancerFloquet's theory

Mathematics Subject Classification ID

Medical applications (general) (92C50) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23)

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A bi-parametric model for the tumour angiogenesis and antiangiogenesis therapy ⋮ Multi-input optimal control problems for combined tumor anti-angiogenic and radiotherapy treatments ⋮ Analysis of the Hopf bifurcation for the family of angiogenesis models. II: The case of two nonzero unequal delays ⋮ Optimal control for selected cancer chemotherapy ODE models: a view on the potential of optimal schedules and choice of objective function ⋮ Stability analysis of the family of tumour angiogenesis models with distributed time delays ⋮ On an extension of a mathematical model for tumor anti-angiogenesis ⋮ Resonance of the epidemic threshold in a periodic environment ⋮ Tumor Development Under Combination Treatments with Anti-angiogenic Therapies ⋮ On optimal delivery of combination therapy for tumors ⋮ Effect of treatment on the global dynamics of delayed pathological angiogenesis models

Cites Work

• Periodic motions
• Globally stable vaccine-induced eradication of horizontally and vertically transmitted infectious diseases with periodic contact rates and disease-dependent demographic factors in the population
• Stability properties of pulse vaccination strategy in SEIR epidemic model
• Tumour eradication by antiangiogenic therapy: analysis and extensions of the model by Hahnfeldt et al. (1999)
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