Rodrigues, Diego SamuelDe Arruda Mancera, Paulo Fernando [UNESP]2014-05-272014-05-272013-02-01Mathematical Biosciences and Engineering, v. 10, n. 1, p. 221-234, 2013.1547-10631551-0018http://hdl.handle.net/11449/74547Dosage and frequency of treatment schedules are important for successful chemotherapy. However, in this work we argue that cell-kill response and tumoral growth should not be seen as separate and therefore are essential in a mathematical cancer model. This paper presents a mathematical model for sequencing of cancer chemotherapy and surgery. Our purpose is to investigate treatments for large human tumours considering a suitable cell-kill dynamics. We use some biological and pharmacological data in a numerical approach, where drug administration occurs in cycles (periodic infusion) and surgery is performed instantaneously. Moreover, we also present an analysis of stability for a chemotherapeutic model with continuous drug administration. According to Norton & Simon [22], our results indicate that chemotherapy is less eficient in treating tumours that have reached a plateau level of growing and that a combination with surgical treatment can provide better outcomes.221-234engChemotherapyMathematical modellingNorton-Simon hypothesisTumourantineoplastic agentalgorithmbiological modelconference paperdrug therapyhumankineticsmethodologyneoplasmoncologypathologystatistical modelAlgorithmsAntineoplastic AgentsDrug TherapyHumansKineticsMedical OncologyModels, BiologicalModels, StatisticalNeoplasmsTrabalho apresentado em evento10.3934/mbe.2013.10.221WOS:000312484900013Acesso aberto2-s2.0-84874695009