标题： 端粒酶的关键活性对于不受控制的细胞生长 显示英文标题

标题： Critical Telomerase Activity for Uncontrolled Cell Growth

摘要： 染色体端粒区域的长度在细胞种群中使用化学主方程形式进行建模，从中提取出每种端粒长度细胞的平均数量的演变。 特别是，研究了端粒延长酶端粒酶对这些动态的作用。 我们表明，在生物相关的细胞出生和死亡速率下，可以找到一个临界速率 R_crit，即端粒酶活性的临界速率，使得细胞总数发散。 此外，R_crit 的量级与有丝分裂和细胞死亡的速率相似。 讨论了这一结果与复制永生及其作为癌症标志的相关性。 显示英文摘要

摘要： The lengths of the telomere regions of chromosomes in a population of cells are modelled using a chemical master equation formalism, from which the evolution of the average number of cells of each telomere length is extracted. In particular, the role of the telomere-elongating enzyme telomerase on these dynamics is investigated. We show that for biologically relevant rates of cell birth and death, one finds a critical rate, R_crit, of telomerase activity such that the total number of cells diverges. Further, R_crit is similar in magnitude to the rates of mitosis and cell death. The possible relationship of this result to replicative immortality and its associated hallmark of cancer is discussed.