Mathematical Analysis of a Mathematical Model of Chemovirotherapy: Effect of Drug Infusion Method
Author
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-11
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
A mathematical model for the treatment of cancer using chemovirotherapy is developed with the aim of determining the efficacy of three drug infusion methods: constant, single bolus, and periodic treatments.
The model is in the form of ODEs and is further extended into DDEs to account for delays as a result of the infection of tumor cells by the virus and chemotherapeutic drug responses.
Analysis of the model is carried out for each of the three drug infusion methods.
Analytic solutions are determined where possible and stability analysis of both steady state solutions for the ODEs and DDEs is presented.
The results indicate that constant and periodic drug infusion methods are more efficient compared to a single bolus injection.
Numerical simulations show that with a large virus burst size, irrespective of the drug infusion method, chemovirotherapy is highly effective compared to either treatments.
The simulations further show that both delays increase the period within which a tumor can be cleared from body tissue.
American Psychological Association (APA)
Malinzi, Joseph. 2019. Mathematical Analysis of a Mathematical Model of Chemovirotherapy: Effect of Drug Infusion Method. Computational and Mathematical Methods in Medicine،Vol. 2019, no. 2019, pp.1-16.
https://search.emarefa.net/detail/BIM-1130705
Modern Language Association (MLA)
Malinzi, Joseph. Mathematical Analysis of a Mathematical Model of Chemovirotherapy: Effect of Drug Infusion Method. Computational and Mathematical Methods in Medicine No. 2019 (2019), pp.1-16.
https://search.emarefa.net/detail/BIM-1130705
American Medical Association (AMA)
Malinzi, Joseph. Mathematical Analysis of a Mathematical Model of Chemovirotherapy: Effect of Drug Infusion Method. Computational and Mathematical Methods in Medicine. 2019. Vol. 2019, no. 2019, pp.1-16.
https://search.emarefa.net/detail/BIM-1130705
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1130705