{"title":"Strategies to Reduce Long-Term Drug Resistance by Considering Effects of Differential Selective Treatments.","authors":"Tina Ghodsi Asnaashari, Young Hwan Chang","doi":"10.1007/978-3-030-91241-3_5","DOIUrl":"https://doi.org/10.1007/978-3-030-91241-3_5","url":null,"abstract":"<p><p>Despite great advances in modeling and cancer therapy using optimal control theory, tumor heterogeneity and drug resistance are major obstacles in cancer treatments. Since recent biological studies demonstrated the evidence of tumor heterogeneity and assessed potential biological and clinical implications, tumor heterogeneity should be taken into account in the optimal control problem to improve treatment strategies. Here, first we study the effects of two different treatment strategies (i.e., symmetric and asymmetric) in a minimal two-population model to examine the long-term effects of these treatment methods on the system. Second, by considering tumor adaptation to treatment as a factor of the cost function, the optimal treatment strategy is derived. Numerical examples show that optimal treatment decreases tumor burden for the long-term by decreasing rate of tumor adaptation over time.</p>","PeriodicalId":74122,"journal":{"name":"Mathematical and computational oncology : third international symposium, ISMCO 2021, virtual event, October 11-13, 2021 : proceedings. ISMCO (Symposium) (3rd : 2021 : Online)","volume":"13060 ","pages":"49-60"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10280777/pdf/nihms-1907163.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9701012","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
G. Bebis, T. Gaasterland, Mamoru Kato, M. Kohandel, K. Wilkie
{"title":"Mathematical and Computational Oncology: Third International Symposium, ISMCO 2021, Virtual Event, October 11–13, 2021, Proceedings","authors":"G. Bebis, T. Gaasterland, Mamoru Kato, M. Kohandel, K. Wilkie","doi":"10.1007/978-3-030-91241-3","DOIUrl":"https://doi.org/10.1007/978-3-030-91241-3","url":null,"abstract":"","PeriodicalId":74122,"journal":{"name":"Mathematical and computational oncology : third international symposium, ISMCO 2021, virtual event, October 11-13, 2021 : proceedings. ISMCO (Symposium) (3rd : 2021 : Online)","volume":"23 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78638635","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
G. Bebis, M. Alekseyev, Heyrim Cho, J. Gevertz, Maria R. Martinez
{"title":"Mathematical and Computational Oncology: Second International Symposium, ISMCO 2020, San Diego, CA, USA, October 8–10, 2020, Proceedings","authors":"G. Bebis, M. Alekseyev, Heyrim Cho, J. Gevertz, Maria R. Martinez","doi":"10.1007/978-3-030-64511-3","DOIUrl":"https://doi.org/10.1007/978-3-030-64511-3","url":null,"abstract":"","PeriodicalId":74122,"journal":{"name":"Mathematical and computational oncology : third international symposium, ISMCO 2021, virtual event, October 11-13, 2021 : proceedings. ISMCO (Symposium) (3rd : 2021 : Online)","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90048565","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
G. Bebis, Takis Benos, Ken Chen, Katharina Jahn, E. Lima
{"title":"Mathematical and Computational Oncology: First International Symposium, ISMCO 2019, Lake Tahoe, NV, USA, October 14–16, 2019, Proceedings","authors":"G. Bebis, Takis Benos, Ken Chen, Katharina Jahn, E. Lima","doi":"10.1007/978-3-030-35210-3","DOIUrl":"https://doi.org/10.1007/978-3-030-35210-3","url":null,"abstract":"","PeriodicalId":74122,"journal":{"name":"Mathematical and computational oncology : third international symposium, ISMCO 2021, virtual event, October 11-13, 2021 : proceedings. ISMCO (Symposium) (3rd : 2021 : Online)","volume":"86 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89038146","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}