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A Review of Mathematical Models for Tumor Dynamics and Treatment Resistance Evolution of Solid Tumors
Increasing knowledge of intertumor heterogeneity, intratumor heterogeneity, and cancer evolution has improved the understanding of anticancer treatment resistance. A better characterization of cancer evolution and subsequent use of this knowledge for personalized treatment would increase the chance...
Autores principales: | , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
John Wiley and Sons Inc.
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6813171/ https://www.ncbi.nlm.nih.gov/pubmed/31250989 http://dx.doi.org/10.1002/psp4.12450 |
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author | Yin, Anyue Moes, Dirk Jan A.R. van Hasselt, Johan G.C. Swen, Jesse J. Guchelaar, Henk‐Jan |
author_facet | Yin, Anyue Moes, Dirk Jan A.R. van Hasselt, Johan G.C. Swen, Jesse J. Guchelaar, Henk‐Jan |
author_sort | Yin, Anyue |
collection | PubMed |
description | Increasing knowledge of intertumor heterogeneity, intratumor heterogeneity, and cancer evolution has improved the understanding of anticancer treatment resistance. A better characterization of cancer evolution and subsequent use of this knowledge for personalized treatment would increase the chance to overcome cancer treatment resistance. Model‐based approaches may help achieve this goal. In this review, we comprehensively summarized mathematical models of tumor dynamics for solid tumors and of drug resistance evolution. Models displayed by ordinary differential equations, algebraic equations, and partial differential equations for characterizing tumor burden dynamics are introduced and discussed. As for tumor resistance evolution, stochastic and deterministic models are introduced and discussed. The results may facilitate a novel model‐based analysis on anticancer treatment response and the occurrence of resistance, which incorporates both tumor dynamics and resistance evolution. The opportunities of a model‐based approach as discussed in this review can be of great benefit for future optimizing and personalizing anticancer treatment. |
format | Online Article Text |
id | pubmed-6813171 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | John Wiley and Sons Inc. |
record_format | MEDLINE/PubMed |
spelling | pubmed-68131712019-10-30 A Review of Mathematical Models for Tumor Dynamics and Treatment Resistance Evolution of Solid Tumors Yin, Anyue Moes, Dirk Jan A.R. van Hasselt, Johan G.C. Swen, Jesse J. Guchelaar, Henk‐Jan CPT Pharmacometrics Syst Pharmacol Reviews Increasing knowledge of intertumor heterogeneity, intratumor heterogeneity, and cancer evolution has improved the understanding of anticancer treatment resistance. A better characterization of cancer evolution and subsequent use of this knowledge for personalized treatment would increase the chance to overcome cancer treatment resistance. Model‐based approaches may help achieve this goal. In this review, we comprehensively summarized mathematical models of tumor dynamics for solid tumors and of drug resistance evolution. Models displayed by ordinary differential equations, algebraic equations, and partial differential equations for characterizing tumor burden dynamics are introduced and discussed. As for tumor resistance evolution, stochastic and deterministic models are introduced and discussed. The results may facilitate a novel model‐based analysis on anticancer treatment response and the occurrence of resistance, which incorporates both tumor dynamics and resistance evolution. The opportunities of a model‐based approach as discussed in this review can be of great benefit for future optimizing and personalizing anticancer treatment. John Wiley and Sons Inc. 2019-08-09 2019-10 /pmc/articles/PMC6813171/ /pubmed/31250989 http://dx.doi.org/10.1002/psp4.12450 Text en © 2019 The Authors. CPT: Pharmacometrics & Systems Pharmacology published by Wiley Periodicals, Inc. on behalf of the American Society for Clinical Pharmacology and Therapeutics. This is an open access article under the terms of the http://creativecommons.org/licenses/by-nc/4.0/ License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited and is not used for commercial purposes. |
spellingShingle | Reviews Yin, Anyue Moes, Dirk Jan A.R. van Hasselt, Johan G.C. Swen, Jesse J. Guchelaar, Henk‐Jan A Review of Mathematical Models for Tumor Dynamics and Treatment Resistance Evolution of Solid Tumors |
title | A Review of Mathematical Models for Tumor Dynamics and Treatment Resistance Evolution of Solid Tumors |
title_full | A Review of Mathematical Models for Tumor Dynamics and Treatment Resistance Evolution of Solid Tumors |
title_fullStr | A Review of Mathematical Models for Tumor Dynamics and Treatment Resistance Evolution of Solid Tumors |
title_full_unstemmed | A Review of Mathematical Models for Tumor Dynamics and Treatment Resistance Evolution of Solid Tumors |
title_short | A Review of Mathematical Models for Tumor Dynamics and Treatment Resistance Evolution of Solid Tumors |
title_sort | review of mathematical models for tumor dynamics and treatment resistance evolution of solid tumors |
topic | Reviews |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6813171/ https://www.ncbi.nlm.nih.gov/pubmed/31250989 http://dx.doi.org/10.1002/psp4.12450 |
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