Mathematical analysis and simulations involving chemotherapy and surgery on large human tumours under a suitable cell-kill functional response
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Data
2013-02-01
Autores
Rodrigues, Diego Samuel
De Arruda Mancera, Paulo Fernando [UNESP]
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Resumo
Dosage 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.
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Chemotherapy, Mathematical modelling, Norton-Simon hypothesis, Tumour, antineoplastic agent, algorithm, biological model, conference paper, drug therapy, human, kinetics, methodology, neoplasm, oncology, pathology, statistical model, Algorithms, Antineoplastic Agents, Drug Therapy, Humans, Kinetics, Medical Oncology, Models, Biological, Models, Statistical, Neoplasms
Como citar
Mathematical Biosciences and Engineering, v. 10, n. 1, p. 221-234, 2013.