Modeling of tumor growth incorporating the effects of necrosis and the effect of Bevacizumab
type: Item
instance of: scholarly article
title: Modeling of tumor growth incorporating the effects of necrosis and the effect of Bevacizumab
zbMATH Open document ID: 1380.92028
DOI: 10.1155/2017/5985031
author: Dániel A. Drexler
author: Johanna Sápi
author: Levente Kovács
published in: Complexity
publication date: 2018-02-01T00:00:00Z
review text: Summary: Tumor growth models are important to create an engineering background for cancer treatment either by using the models for simulations and evaluation of treatment protocols or, if combined with control engineering, by designing treatment protocols. A well-defined tumor growth model must describe the physiological processes and the measurements as well. Growing tumors are composed of dead tumor cells (forming the necrotic part) and living, proliferating tumor cells (forming the proliferating part); when tumor volume is measured, these parts are measured together. Most of the known tumor growth models do not consider the modeling of the necrotic part. Starting from a minimal model of the tumor growth under Bevacizumab treatment, the aim of the current research is to extend it incorporating the volume and dynamics of the necrotic part and the pharmacodynamics and mixed-order pharmacokinetics of the applied drug. The extended model is validated using measurements with mice as hosts, colon Adenocarcinoma as tumor, and bevacizumab as the drug used for treatment. The results show that the extended model can describe the important physiological phenomena and shows a good fit to the average of the measurements.
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 92C37
zbMATH DE Number: 6833389
zbMATH Keywords: tumor growth
zbMATH Keywords: modeling
zbMATH Keywords: dead tumor cells
zbMATH Keywords: proliferating tumor cells
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/5985031
OpenAlex ID: W2768806839
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description: scientific article; zbMATH DE number 6833389