title: Mathematical analysis and simulations involving chemotherapy and surgery on large human tumours under a suitable cell-kill functional response.
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 and 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.
authors: Universidade de Sao Paulo, Depto de Matematica Aplicada e Estatistica, ICMC, USP, 13560-970, Sao Carlos, Brazil. diegosarodrigues@gmail.com
authors: Diego Samuel
authors: DS
authors: Rodrigues
authors: Paulo Fernando
authors: PF
authors: de Arruda Mancera
mesh_terms: D000465:Algorithms; D000970:Antineoplastic Agents / Q000627:therapeutic use*; D004358:Drug Therapy / Q000379:methods*; D006801:Humans; D007700:Kinetics; D008495:Medical Oncology / Q000379:methods; D008954:Models, Biological; D015233:Models, Statistical; D009369:Neoplasms / Q000188:drug therapy* / Q000473:pathology
chemical_list: D000970:Antineoplastic Agents