The multistage theory of carcinogenesis and the age distribution of cancer in man.
The multistage theory of carcinogenesis and the age distribution of cancer in man.
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致癌作用的多阶段理论和人类癌症的年龄分布。
DOI：
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发表时间：
1978
期刊：
影响因子：
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通讯作者：
S. Moolgavkar
中科院分区：
文献类型：
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作者：
S. Moolgavkar
简要回顾了致癌的多阶段理论，将该理论预测的发病函数表示为“无穷和”（收敛幂级数）。关联函数的该表达式将 Armitage-Doll 近似作为第一个非零项，并明确展示了关联函数对转换率的依赖性。很明显，如果转变率不够小（大约 10(-4/细胞/年），则 Armitage-Doll 近似是不合适的。在这些情况下，保留一项（在系列中）会导致更好的近似。这通过一个假设的例子进行说明。讨论了理论中隐含的其他假设。
The multistage theory of carcinogenesis is briefly reviewed, and the incidence function predicted by the theory is expressed as an "infinite sum" (convergent power series). This expression for the incidence function has the Armitage-Doll approximation as the first non-zero term and explicitly exhibits the dependence of the incidence function on the transition rates. It is then clear that if the transition rates are not small enough (approximately 10(-4/cell/yr), the Armitage-Doll approximation is inappropriate. Retention of one more term (in the series) leads to a better approximation in these cases. This is illustrated by a hypothetical example. Other assumptions implicit in the theory are discussed.