代谢生态学中的指数细胞分裂与异速生长标度
Exponential Cell Division and Allometric Scaling in Metabolic Ecology
AI总结：
本文通过假设无限制的细胞二分裂与指数增殖，解释了体重与器官重量、代谢率之间的幂律标度，并提出体重与寿命间为指数而非幂律关系。
摘要：
代谢生态学中最基本的规律之一是异速生长方程，它是一种幂律标度，用于描述身体测量指标与体型之间的联系。然而，这一本质上属于经验性的异速生长方程所对应的生物学动力学，尚未在细胞层面得到恰当阐明。为填补细胞层面生物学过程与代谢生态学中异速生长标度之间的空白，我们简单地假设细胞进行无限制的二分裂，随后细胞在其生命周期中呈指数增长。两个同步的指数增长过程可以在体重与器官重量之间产生幂律标度。而通过用红细胞重量替代器官重量，也可以得到体重与代谢率之间的幂律标度。基于同一假设，细胞增殖动力学揭示出体重与寿命之间存在复杂的指数标度，而非此前报道的幂律标度。换言之，寿命与体重的对数形式之间存在二次关系。在这些关系中，所有参数都可以由细胞分裂和胚胎中的指标加以解释。
英文摘要：
One of the most fundamental rules in metabolic ecology is the allometric equation, which is a power-law scaling that describes the connection between body measurements and body size. The biological dynamics of this essentially empirical allometric equation, however, have yet to be properly addressed in cell level. In order to fill the gap between biological process in cell level and allometric scaling in metabolic ecology, we simply assumed a cell bipartition without limitation, and then exponential cells increased during their lifetime. Two synchronous exponential increasing could generate a power-law scaling between body mass and an organ's weight. And the power-law scaling between body mass and metabolic rate may also be obtained by substituting an organ's weight with the weight of erythrocytes. Based on the same assumption, the dynamic of cell proliferation reveal a complex exponential scaling between body mass and longevity rather than the previously reported power-law scaling. In other words, there is a quadratic relationship between longevity and logarithmic form of body mass. In these relationships, all parameters can be explained by indices in cell division and embryo.
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