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Murphy2016 - Differences in predictions of ODE models of tumor growth


ABSTRACT: Murphy2016 - Differences in predictions of ODE models of tumor growth Comparison of 7 ODE models for tumour size. This models have been compared to experimental data. This model is described in the article: Differences in predictions of ODE models of tumor growth: a cautionary example. Murphy H, Jaafari H, Dobrovolny HM. BMC Cancer 2016 Feb; 16: 163 Abstract: While mathematical models are often used to predict progression of cancer and treatment outcomes, there is still uncertainty over how to best model tumor growth. Seven ordinary differential equation (ODE) models of tumor growth (exponential, Mendelsohn, logistic, linear, surface, Gompertz, and Bertalanffy) have been proposed, but there is no clear guidance on how to choose the most appropriate model for a particular cancer.We examined all seven of the previously proposed ODE models in the presence and absence of chemotherapy. We derived equations for the maximum tumor size, doubling time, and the minimum amount of chemotherapy needed to suppress the tumor and used a sample data set to compare how these quantities differ based on choice of growth model.We find that there is a 12-fold difference in predicting doubling times and a 6-fold difference in the predicted amount of chemotherapy needed for suppression depending on which growth model was used.Our results highlight the need for careful consideration of model assumptions when developing mathematical models for use in cancer treatment planning. This model is hosted on BioModels Database and identified by: BIOMD0000000671. To cite BioModels Database, please use: Chelliah V et al. BioModels: ten-year anniversary. Nucl. Acids Res. 2015, 43(Database issue):D542-8. To the extent possible under law, all copyright and related or neighbouring rights to this encoded model have been dedicated to the public domain worldwide. Please refer to CC0 Public Domain Dedication for more information.

SUBMITTER: Emma Fairbanks  

PROVIDER: BIOMD0000000671 | BioModels | 2024-09-02

REPOSITORIES: BioModels

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Differences in predictions of ODE models of tumor growth: a cautionary example.

Murphy Hope H   Jaafari Hana H   Dobrovolny Hana M HM  

BMC cancer 20160226


<h4>Background</h4>While mathematical models are often used to predict progression of cancer and treatment outcomes, there is still uncertainty over how to best model tumor growth. Seven ordinary differential equation (ODE) models of tumor growth (exponential, Mendelsohn, logistic, linear, surface, Gompertz, and Bertalanffy) have been proposed, but there is no clear guidance on how to choose the most appropriate model for a particular cancer.<h4>Methods</h4>We examined all seven of the previousl  ...[more]

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