A mathematical model to study the effects of drugs administration on tumor growth dynamics

DOI10.1016/j.mbs.2005.12.028zbMath1089.92025OpenAlexW2002685008WikidataQ40308949 ScholiaQ40308949MaRDI QIDQ2495855

Yanyan Li

Publication date: 30 June 2006

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2005.12.028

zbMATH Keywords

tumor growth modeltumor growth dynamicsanticancer drug discoverypharmacodynamics models

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Medical applications (general) (92C50) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (7)

Phase transitions in tumor growth. III: Vascular and metastasis behavior ⋮ A procedure for deriving new ODE models: Using the generalized linear chain trick to incorporate phase-type distributed delay and dwell time assumptions ⋮ Phenomenological modeling of tumor diameter growth based on a mixed effects model ⋮ Modeling tumor growth inhibition and toxicity outcome after administration of anticancer agents in xenograft mice: a dynamic energy budget (DEB) approach ⋮ A microenvironment based model of antimitotic therapy of Gompertzian tumor growth ⋮ An analytical model for nanoparticles concentration resulting from infusion into poroelastic brain tissue ⋮ Theoretical investigation of the efficacy of antiangiogenic drugs combined to chemotherapy in xenografted mice

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