Developing a minimally structured mathematical model of cancer treatment with oncolytic viruses and dendritic cell injections
type: Item
instance of: scholarly article
title: Developing a minimally structured mathematical model of cancer treatment with oncolytic viruses and dendritic cell injections
zbMATH Open document ID: 1431.92053
DOI: 10.1155/2018/8760371
author: Jana L. Gevertz
author: Joanna R. Wares
published in: Computational \& Mathematical Methods in Medicine
publication date: 2019-02-26T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 62P10
zbMATH DE Number: 7029779
zbMATH Keywords: cancer treatment
zbMATH Keywords: oncolytic viruses
zbMATH Keywords: dendritic cell injections
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/8760371
OpenAlex ID: W2898637040
Wikidata QID: Q90230427
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DBLP publication ID: journals/cmmm/GevertzW18
description: scientific article; zbMATH DE number 7029779