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Type: Artigo de periódico
Title: Stable size distribution in a mathematical model for tumor cell population growth during chemotherapeutical treatment with two non-cross resistant drugs
Author: Leckar, HF
Vendite, LL
Abstract: A size-structured model is developed to study the growth of tumor cell populations during chemotherapeutic treatment with two non-cross resistant drugs, D-0 and D-1. The cells reproduce by fission. Four types of cells are considered: sensitive cells to both D-0 and D-1, cells that are resistant to D-0 only, cells that are resistant to D-1 only, and cells that are resistant to both D-0 and D-1 Resistant cells arise by spontaneous genetic mutation from sensitive cells and are selected during the growth of the mixed population. The model consists on a system of linear partial differential equations describing the size-density of each type of cells. That corresponds to chemotherapeutic treatment on a given time sequence intervals such that, we continuously apply D-0 at a first interval and next we apply D-1 at a second interval, and so forth. We obtain a stable size-distribution theorem for this case.
Subject: size structure
tumor cell population
cellular resistance
evolution operator
Country: Singapura
Editor: World Scientific Publ Co Pte Ltd
Rights: fechado
Identifier DOI: 10.1142/S021833909900019X
Date Issue: 1999
Appears in Collections:Unicamp - Artigos e Outros Documentos

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