Mathematical modeling of tumor cells metastasis dynamics using MATLAB simbiology application

• Main Authors: Yurievna, Vil Maria, Borisovna, Goncharova Anastasia, Petrovich, Kolpak Eugeny, Feukwi, Herve Kamguia
• Format: Conference Proceeding
• Language: English
• Subjects: Cancer; Health services; Mathematical analysis; Mathematical models; Matlab; Metastasis; Side effects; Simulation; Tumors
• ISSN: 0094-243X; 1551-7616
• DOI: 10.1063/5.0152465

This paper focuses on the use of MATLAB SimBiology (version MATLAB R2019b) as a tool for modeling, simulating, and analyzing cancer diseases. The article describes the process of building a model of cancer disease in the SimBiology Model Builder application based on a mathematical model that considers the process of tumor spread through the affected organ as an interference competition and takes into account tumor angiogenesis. An extension of the built model based on compartment modeling is presented, which simulates the ability of malignant tumors to metastasize and form new lesions. The results of simulation modeling with metastasis in the SimBiology Model Analyzer application are also presented. Secondary tumors are assumed to have the same properties as the primary lesion. There are two treatment delivery options in the model with metastasis that are considered: the implementation of constant continuous treatment using events and the implementation of discrete drug delivery using repeated or scheduled doses. In both treatment models, it is assumed that drugs are consumed only to suppress malignant cells, and their side effects are neglected. The response of tumor dynamics to treatment was simulated, and results are presented in this article.