The biology literature presents allometric relations for the specific metabolic rate (SMRk) of an organ k of mass mk within the body of mass m_B: SMR_{_k} ∝ m_B^fk (body mass allometry, BMA). Wang et al. used BMA, summed-up energy from all organs and validated Kleiber’s law of the whole body: SMR_M ∝ m_B^b’, b’ = −0.25. The issues raised in biology are: (i) why f_k and b’ < 0, (ii) how do the organs adjust f_k to yield b’? The current paper presents a “system” approach involving the field of oxygen deficient combustion (ODC) of a cloud of carbon particles and oxygen deficient metabolism (ODM), and provides partial answers by treating each vital organ as a cell cloud. The methodology yields the following: (i) a dimensionless “group” number G_OD to indicate extent of ODM, (ii) SMR_k of an organ in terms of the effectiveness factor; (iii) curve fitting of the effectiveness factor to yield the allometric exponents for the organ mass-based allometric laws (OMA); (iv) validation of the results with data from 111 biological species (BS) with m_B ranging from 0.0075 to 6500 kg. The “hypoxic” condition at organ level, particularly for Covid-19 patients, and the onset of cancer and virus multiplication are interpreted in terms of ODM and glycolysis.

中文翻译：

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缺氧 (OD) 燃烧和代谢：器官异速生长定律和来自 OD 代谢的克莱伯定律？

生物学文献介绍了质量为 m _B的体内质量为 mk 的器官 k 的特定代谢率 (SMRk) 的异速生长关系：SMR _{_k} ∝ m _B ^fk（体重异速生长，BMA）。王等人。使用 BMA，汇总所有器官的能量并验证整个身体的克莱伯定律：SMR _M ∝ m _B ^b ', b' = -0.25。生物学中提出的问题是：（i）为什么 f _k和 b' < 0，（ii）器官如何调整 f _k产生 b'？目前的论文提出了一种“系统”方法，涉及碳粒子云和缺氧代谢 (ODM) 的缺氧燃烧 (ODC) 领域，并通过将每个重要器官视为细胞云来提供部分答案。该方法产生以下结果：(i) 一个无量纲的“组”数 G _OD来表示 ODM 的程度，(ii)一个器官在有效性因子方面的SMR _k；(iii) 为基于器官质量的异速生长定律 (OMA) 产生异速生长指数的有效性因子的曲线拟合；(iv) 用 m _{B 的}111 个生物物种 (BS) 的数据验证结果范围从 0.0075 到 6500 公斤。器官水平的“缺氧”状况，特别是对于 Covid-19 患者，以及癌症和病毒增殖的发生都被解释为 ODM 和糖酵解。