A mathematical model for tumor growth and treatment using virotherapy

DOI10.3934/MATH.2020265zbMath1484.92036OpenAlexW2904984094MaRDI QIDQ2129789

Kristen Abernathy, Jessica Stevens, Zachary J. Abernathy

Publication date: 25 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2020265

zbMATH Keywords

global stabilitycancerlong-term dynamicsvirotherapy

Mathematics Subject Classification ID

Medical applications (general) (92C50) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (1)

Combination of virotherapy and chemotherapy with optimal control for combating cancer

Cites Work

• Analysis of virotherapy in solid tumor invasion
• Quantitative impact of immunomodulation versus oncolysis with cytokine-expressing virus therapeutics
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Mathematical modelling of the interaction between cancer cells and an oncolytic virus: insights into the effects of treatment protocols
• An immune system-tumour interactions model with discrete time delay: model analysis and validation
• Elements of applied bifurcation theory

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