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Author(s): |
Total Authors: 2
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Affiliation: | [1] Univ Sao Paulo, ICMC, Dept Matemat Aplicada & Estat, BR-13560970 Sao Carlos, SP - Brazil
[2] UNESP, IBB, Dept Bioestat, BR-18618970 Botucatu, SP - Brazil
Total Affiliations: 2
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Document type: | Journal article |
Source: | Mathematical Biosciences and Engineering; v. 10, n. 1, p. 221-234, FEB 2013. |
Web of Science Citations: | 4 |
Abstract | |
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 efficient in treating tumours that have reached a plateau level of growing and that a combination with surgical treatment can provide better outcomes. (AU) | |
FAPESP's process: | 09/15098-0 - Assessing control of epidemics using mathematical and computer models |
Grantee: | Hyun Mo Yang |
Support Opportunities: | Research Projects - Thematic Grants |
FAPESP's process: | 10/20185-7 - Mathematical modelling in cancer: angiogenesis dynamics and antineoplastic chemotherapy |
Grantee: | Paulo Fernando de Arruda Mancera |
Support Opportunities: | Regular Research Grants |