Abernethy J
Brockton/West Roxbury VA Medical Center, Boston, MA. USA.
J Theor Biol. 1998 Jun 21;192(4):419-35. doi: 10.1006/jtbi.1998.0657.
Gompertz' age-related exponential increase in mortality rate and the obdurately flat mortality trajectory of Drosophila are paradoxical notions for metazoan aging theory. A multiclonal model of Gompertzian organisms provides a resolution by assuming that (a) conception initiates a stochastic process producing a train of replications of fixed length (the Hayflick limit); (b) unique stem cells arise early on to generate multiple vital clones; (c) life continues until one such clone critically depletes its replicative potential. Lifespan is thus governed by the time it takes to reach the terminal branches of the mitotic tree. Although these times are not independent, asymptotic independence can be justified. This clears the way for asymptotic extreme-value theory to guarantee: (1) a non-increasing failure rate, under unlimited replicability; (2) an exponentially increasing failure rate, under limited replicability. However, to obtain an exact fit to the human force-of-mortality function also requires the inclusion of the phenomenon of mitotic deceleration (implemented with a lognormal model of replication).
the sine qua non of Gompertzian mortality is cellular aging, expressed through these two mitotic phenomena. Conversely, those metazoa with unlimited cellular replicability, by staving off clonal failure would succumb only to catastrophic, age-independent events, yielding a constant mortality rate, the signature of a mitotic clock that does not run down.
对于后生动物衰老理论而言,冈珀茨(Gompertz)提出的死亡率随年龄呈指数增长以及果蝇死亡率轨迹顽固持平这两个观点相互矛盾。冈珀茨式生物体的多克隆模型通过假设以下几点提供了一种解决方案:(a)受孕启动一个随机过程,产生一系列固定长度的复制过程(海弗利克极限);(b)早期出现独特的干细胞以产生多个重要克隆;(c)生命持续到其中一个这样的克隆严重耗尽其复制潜力。因此,寿命由到达有丝分裂树终端分支所需的时间决定。尽管这些时间并非相互独立,但渐近独立性是合理的。这为渐近极值理论扫清了道路,从而能够保证:(1)在无限可复制性下,失效率不增加;(2)在有限可复制性下,失效率呈指数增长。然而,要精确拟合人类死亡率函数还需要纳入有丝分裂减速现象(用复制的对数正态模型来实现)。
冈珀茨式死亡率的必要条件是细胞衰老,通过这两种有丝分裂现象表现出来。相反,那些具有无限细胞可复制性的后生动物,通过避免克隆失败,只会死于灾难性的、与年龄无关的事件,从而产生恒定的死亡率,这是一个不会耗尽的有丝分裂时钟的特征。