A simple model of a growing tumour

This paper presents the CellCycler, a model of a growing tumour which aims to simulate and predict the effect of treatment on xenograft studies or in the clinic. The model, which is freely available as a web application, uses ordinary differential equations (ODEs) to simulate cells as they pass thro...

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Main Authors: David Orrell, Hitesh B. Mistry
Format: Article
Language:English
Published: PeerJ Inc. 2019-05-01
Series:PeerJ
Subjects:
Online Access:https://peerj.com/articles/6983.pdf
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author David Orrell
Hitesh B. Mistry
author_facet David Orrell
Hitesh B. Mistry
author_sort David Orrell
collection DOAJ
description This paper presents the CellCycler, a model of a growing tumour which aims to simulate and predict the effect of treatment on xenograft studies or in the clinic. The model, which is freely available as a web application, uses ordinary differential equations (ODEs) to simulate cells as they pass through the phases of the cell cycle. However the guiding philosophy of the model is that it should only use parameters that can be observed or reasonably well approximated. There is no representation of the complex internal dynamics of each cell; instead the level of analysis is limited to cell state observables such as cell phase, apoptosis, and damage. We show that this approach, while limited in many respects, still naturally accounts for a heteregenous cell population with varying doubling time, and closely captures the dynamics of a growing tumour as it is exposed to treatment. The program is demonstrated using three case studies.
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spelling doaj.art-974dd72603514c75a464384cd8ed08252023-12-03T07:09:58ZengPeerJ Inc.PeerJ2167-83592019-05-017e698310.7717/peerj.6983A simple model of a growing tumourDavid Orrell0Hitesh B. Mistry1Systems Forecasting, Toronto, Ontario, CanadaDivision of Pharmacy, University of Manchester, Manchester, United KingdomThis paper presents the CellCycler, a model of a growing tumour which aims to simulate and predict the effect of treatment on xenograft studies or in the clinic. The model, which is freely available as a web application, uses ordinary differential equations (ODEs) to simulate cells as they pass through the phases of the cell cycle. However the guiding philosophy of the model is that it should only use parameters that can be observed or reasonably well approximated. There is no representation of the complex internal dynamics of each cell; instead the level of analysis is limited to cell state observables such as cell phase, apoptosis, and damage. We show that this approach, while limited in many respects, still naturally accounts for a heteregenous cell population with varying doubling time, and closely captures the dynamics of a growing tumour as it is exposed to treatment. The program is demonstrated using three case studies.https://peerj.com/articles/6983.pdfCancerPharmacologyMathematical modelingDrug combinationsTumour dynamics
spellingShingle David Orrell
Hitesh B. Mistry
A simple model of a growing tumour
PeerJ
Cancer
Pharmacology
Mathematical modeling
Drug combinations
Tumour dynamics
title A simple model of a growing tumour
title_full A simple model of a growing tumour
title_fullStr A simple model of a growing tumour
title_full_unstemmed A simple model of a growing tumour
title_short A simple model of a growing tumour
title_sort simple model of a growing tumour
topic Cancer
Pharmacology
Mathematical modeling
Drug combinations
Tumour dynamics
url https://peerj.com/articles/6983.pdf
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