Discrete mathematical models are proposed to study the dynamics of interacting cells of an organism that is affected by an aggressive heterogeneous tumor. The models include the application of a chemotherapy treatment with a gradual effect. Another factor included in the models is the competence among the different tumor cells. An effective treatment index is introduced in order to analyze the evolution of the tumor and to compare different treatments. (C) 2011 Elsevier Ltd. All rights reserved.
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Hosp Univ Clementino Fraga Filho, Serv Endocrinol, Rio De Janeiro, BrazilHosp Univ Clementino Fraga Filho, Serv Endocrinol, Rio De Janeiro, Brazil
Kasuki, Leandro
Vieira Neto, Leonardo
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Hosp Univ Clementino Fraga Filho, Serv Endocrinol, Rio De Janeiro, Brazil
Hosp Fed Lagoa, Serv Endocrinol, Lagoa, BrazilHosp Univ Clementino Fraga Filho, Serv Endocrinol, Rio De Janeiro, Brazil
Vieira Neto, Leonardo
Takiya, Christina M.
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UFRJ, Lab Patol Celular, Rio De Janeiro, BrazilHosp Univ Clementino Fraga Filho, Serv Endocrinol, Rio De Janeiro, Brazil
Takiya, Christina M.
Gadelha, Monica R.
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Hosp Univ Clementino Fraga Filho, Serv Endocrinol, Rio De Janeiro, Brazil
Inst Estadual Diabet & Endocrinol Luiz Capriglion, Rio De Janeiro, BrazilHosp Univ Clementino Fraga Filho, Serv Endocrinol, Rio De Janeiro, Brazil