Developing a Minimally Structured Mathematical Model of Cancer Treatment with Oncolytic Viruses and Dendritic Cell Injections
Joint Authors
Gevertz, Jana L.
Wares, Joanna R.
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-30
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Mathematical models of biological systems must strike a balance between being sufficiently complex to capture important biological features, while being simple enough that they remain tractable through analysis or simulation.
In this work, we rigorously explore how to balance these competing interests when modeling murine melanoma treatment with oncolytic viruses and dendritic cell injections.
Previously, we developed a system of six ordinary differential equations containing fourteen parameters that well describes experimental data on the efficacy of these treatments.
Here, we explore whether this previously developed model is the minimal model needed to accurately describe the data.
Using a variety of techniques, including sensitivity analyses and a parameter sloppiness analysis, we find that our model can be reduced by one variable and three parameters and still give excellent fits to the data.
We also argue that our model is not too simple to capture the dynamics of the data, and that the original and minimal models make similar predictions about the efficacy and robustness of protocols not considered in experiments.
Reducing the model to its minimal form allows us to increase the tractability of the system in the face of parametric uncertainty.
American Psychological Association (APA)
Gevertz, Jana L.& Wares, Joanna R.. 2018. Developing a Minimally Structured Mathematical Model of Cancer Treatment with Oncolytic Viruses and Dendritic Cell Injections. Computational and Mathematical Methods in Medicine،Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1132217
Modern Language Association (MLA)
Gevertz, Jana L.& Wares, Joanna R.. Developing a Minimally Structured Mathematical Model of Cancer Treatment with Oncolytic Viruses and Dendritic Cell Injections. Computational and Mathematical Methods in Medicine No. 2018 (2018), pp.1-14.
https://search.emarefa.net/detail/BIM-1132217
American Medical Association (AMA)
Gevertz, Jana L.& Wares, Joanna R.. Developing a Minimally Structured Mathematical Model of Cancer Treatment with Oncolytic Viruses and Dendritic Cell Injections. Computational and Mathematical Methods in Medicine. 2018. Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1132217
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132217