Optimal lineageprinciple for age-structured populations
Optimal lineageprinciple for age-structured populations
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年龄结构人群的最优谱系原则
DOI：
10.1111/j.1558-5646.2011.01418.x
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发表时间：
2012
期刊：
影响因子：
3.3
通讯作者：
E.
中科院分区：
文献类型：
--
作者：
Wakamoto;Y.;Grosberg;A. Y.,Kussell;E.
我们提出了一个制定的分支和老化过程，使年龄分布沿着谱系内的人口进行研究，并提供了一个新的解释经典的结果在老龄化理论。我们建立了稳定的年龄分布沿着谱系的变分原理。使用这个最佳的血统原则，我们表明，人口的增长率的响应特定年龄的死亡率和生育率的变化-一个关键的数量，首先是由汉密尔顿计算-直接给出的年龄分布沿着血统。我们也将我们的方法应用到贝尔曼-哈里斯过程中，其中母亲和后代都在每个繁殖事件中恢复活力，并表明这个过程可以映射到经典的衰老过程，使人口和沿着血统的年龄统计是相同的。我们的方法提供了一个理论框架，了解人口老龄化的统计数据，并与年龄结构的人口分析计算的新方法。我们讨论了具有多种表型和更复杂的衰老过程的人群的概括。我们还提供了第一个实验测试我们的理论应用于微流体装置中生长的细菌种群。
We present a formulation of branching and aging processes that allows age distributions along lineages to be studied within populations, and provides a new interpretation of classical results in the theory of aging. We establish a variational principle for the stable age distribution along lineages. Using this optimal lineage principle, we show that the response of a population’s growth rate to age-specific changes in mortality and fecundity—a key quantity that was first calculated by Hamilton—is given directly by the age distribution along lineages. We apply our method also to the Bellman–Harris process, in which both mother and progeny are rejuvenated at each reproduction event, and show that this process can be mapped to the classic aging process such that age statistics in the population and along lineages are identical. Our approach provides both a theoretical framework for understanding the statistics of aging in a population, and a new method of analytical calculations for populations with age structure. We discuss generalizations for populations with multiple phenotypes, and more complex aging processes. We also provide a first experimental test of our theory applied to bacterial populations growing in a microfluidics device.