Rozing Maarten P, Westendorp Rudi G J
Department of Gerontology and Geriatrics, Leiden University Medical Center, Leiden, The Netherlands.
Aging Cell. 2008 Dec;7(6):924-7. doi: 10.1111/j.1474-9726.2008.00437.x. Epub 2008 Sep 8.
The exponential increase in mortality rate with age is a universal feature of aging and is described mathematically by the Gompertz equation. When this equation is transformed semilogarithmically, it conforms to a straight line, the slope of which is generally used to reflect the rate of senescence. Historical and contemporary data of human and nonhuman populations show that adverse environmental conditions do not always change the slope of the log mortality rate over age. From these latter observations it is sometimes mistakenly inferred that the rate of senescence is unaffected by environmental conditions. Current biological inference emphasizes that gene action is dependent on the environment in which it is expressed. Here, we propose using the tangent line of the Gompertz equation to assess whether the rate of senescence has altered. Such an approach unmasks different rates of senescence when parameter G has remained constant, an observation that is in line with the notion that a plastic life history trait such as the rate of senescence results from the interplay of both genes and environment.
死亡率随年龄呈指数增长是衰老的一个普遍特征,可用冈珀茨方程进行数学描述。当该方程进行半对数变换时,它符合一条直线,其斜率通常用于反映衰老速率。人类和非人类种群的历史及当代数据表明,不利的环境条件并不总是会改变对数死亡率随年龄变化的斜率。从这些后期观察结果中,有时会错误地推断衰老速率不受环境条件影响。当前的生物学推断强调基因作用取决于其表达所处的环境。在此,我们建议使用冈珀茨方程的切线来评估衰老速率是否发生了改变。当参数G保持不变时,这种方法揭示了不同的衰老速率,这一观察结果与衰老速率等可塑性生活史特征是基因与环境相互作用的结果这一观点一致。