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原文連結
論文資訊
- 類型:已發表論文
- 日期:2013
摘要
Resistance to chemotherapies, particularly to anti癌症 treatments, is an increasing medical concern. Among the many mechanisms at work in 癌症s, one of the most important is the selection of tumor cells expressing resistance genes or phenotypes. Motivated by the theory of 突變-selection in adaptive 演化, we propose a model based on a continuous variable that represents the expression level of a resistance gene (or genes, yielding a phenotype) influencing in healthy and tumor cells birth/death rates, effects of chemotherapies (both cytotoxic and cytostatic) and 突變s. We extend previous work by demonstrating how qualitatively different actions of chemotherapeutic and cytostatic treatments may induce different levels of resistance. The 數學 interest of our study is in the formalism of constrained Hamilt
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