@inproceedings{71b66583d8b54ce89728eabe94cf4c77,
title = "Modeling and Optimization of Radio-Chemotherapy",
abstract = "Pre- or post-operational chemo-radiotherapy have become one of the standard adjuvant therapies in recent years. Though both chemo- and radiotherapy protocols are standardized, the question about the order in which they should be applied, or concurrency, remains an open question. In this work we attempt to answer it with mathematical modeling and optimization of two-dimensional control that represents therapy in a control-theory based approach. In order to address this problem, two issues are discussed. First, two different ways of modeling tumor growth under therapy are compared. For each of them, the necessary conditions for optimal control representing the therapy are presented and discussed. Then, Kaplan-Meier survival curves are compared for standard therapy protocols used in clinics and different approaches to model tumor growth. Finally, a framework for analysis of treatment efficacy is presented, in which optimization and survival analysis are used sequentially.",
keywords = "Chemotherapy, Modeling, Optimization, Radiotherapy",
author = "Andrzej Swierniak and Jaroslaw Smieja and Marzena Mura and Piotr Bajger",
note = "Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.; 21st Polish Conference on Biocybernetics and Biomedical Engineering, PCBBE 2019 ; Conference date: 25-09-2019 Through 27-09-2019",
year = "2020",
doi = "10.1007/978-3-030-29885-2\_20",
language = "English",
isbn = "9783030298845",
series = "Advances in Intelligent Systems and Computing",
publisher = "Springer Verlag",
pages = "223--233",
editor = "J{\'o}zef Korbicz and Krzysztof Patan and Marek Kowal and Roman Maniewski",
booktitle = "Current Trends in Biomedical Engineering and Bioimages Analysis - Proceedings of the 21st Polish Conference on Biocybernetics and Biomedical Engineering",
address = "Germany",
}