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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

MATHEMATICAL ANALYSIS AND SIMULATIONS INVOLVING CHEMOTHERAPY AND SURGERY ON LARGE HUMAN TUMOURS UNDER A SUITABLE CELL-KILL FUNCTIONAL RESPONSE

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Author(s):
Rodrigues, Diego Samuel [1] ; de Arruda Mancera, Paulo Fernando [2]
Total Authors: 2
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
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