更改

====修改后的循环系统模型====

====修改后的循环系统模型====

对WBE模型所做的调整保留了网络形状的假设，它预测出更大的缩放指数，加剧了与观测数据的差异<ref>Savage VM, Deeds EJ, Fontana W (September 2008). "Sizing up allometric scaling theory". ''PLOS Computational Biology''. '''4''' (9): e1000171. Bibcode:2008PLSCB...4E0171S. doi:10.1371/journal.pcbi.1000171. PMC 2518954. <nowiki>PMID 18787686</nowiki>.</ref>。但我们可以通过放宽WBE对营养物质运输网络的假设，即这个网络既是分形的又是循环的，从而保留一个类似的理论<ref name=":5" />。（WBE认为，分形循环网络的发展必然会使得用于运输的能量最小化，但其他研究人员认为，他们的推导有一些潜在的错误<ref name=":2" /><ref>Apol ME, Etienne RS, Olff H (2008). "Revisiting the evolutionary origin of allometric metabolic scaling in biology". ''Functional Ecology''. '''22''' (6): 1070–1080. doi:10.1111/j.1365-2435.2008.01458.x.</ref>)。不同的网络效率较低，因为它们表现出较低的缩放指数，但由营养物质运输决定的新陈代谢率将表现出2/3到3/4的缩放<ref name=":5" />。如果较大的新陈代谢率在金华上收到青睐，那么重量小的生物将倾向于把它们的网络安排成2/3的规模，但重量大的生物将倾向于把它们的网络安排成3/4，这就产生了观察到的曲率<ref name=":6">Savage VM, Gillooly JF, Woodruff WH, West GB, Allen AP, Enquist BJ, Brown JH (April 2004). "The predominance of quarter-power scaling in biology". ''Functional Ecology''. '''18''' (2): 257–282. doi:10.1111/j.0269-8463.2004.00856.x. <q>The original paper by West ''et al''. (1997), which derives a model for the mammalian arterial system, predicts that smaller mammals should show consistent deviations in the direction of higher metabolic rates than expected from ''M''^3⁄4 scaling. Thus, metabolic scaling relationships are predicted to show a slight curvilinearity at the smallest size range.</q></ref>。

对WBE模型所做的调整保留了网络形状的假设，它预测出更大的缩放指数，加剧了与观测数据的差异<ref>Savage VM, Deeds EJ, Fontana W (September 2008). "Sizing up allometric scaling theory". ''PLOS Computational Biology''. '''4''' (9): e1000171. Bibcode:2008PLSCB...4E0171S. doi:10.1371/journal.pcbi.1000171. PMC 2518954. <nowiki>PMID 18787686</nowiki>.</ref>。但我们可以通过放宽WBE对营养物质运输网络的假设，即这个网络既是分形的又是循环的，从而保留一个类似的理论<ref name=":5" />。（WBE认为，分形循环网络的发展必然会使得用于运输的能量最小化，但其他研究人员认为，他们的推导有一些潜在的错误<ref name=":2" /><ref>Apol ME, Etienne RS, Olff H (2008). "Revisiting the evolutionary origin of allometric metabolic scaling in biology". ''Functional Ecology''. '''22''' (6): 1070–1080. doi:10.1111/j.1365-2435.2008.01458.x.</ref>)。不同的网络效率较低，因为它们表现出较低的缩放指数，但由营养物质运输决定的新陈代谢率将表现出2/3到3/4的缩放<ref name=":5" />。如果较大的新陈代谢率在进化上收到青睐，那么重量小的生物将倾向于把它们的网络安排成2/3的规模，但重量大的生物将倾向于把它们的网络安排成3/4，这就产生了观察到的曲率<ref name=":6">Savage VM, Gillooly JF, Woodruff WH, West GB, Allen AP, Enquist BJ, Brown JH (April 2004). "The predominance of quarter-power scaling in biology". ''Functional Ecology''. '''18''' (2): 257–282. doi:10.1111/j.0269-8463.2004.00856.x. <q>The original paper by West ''et al''. (1997), which derives a model for the mammalian arterial system, predicts that smaller mammals should show consistent deviations in the direction of higher metabolic rates than expected from ''M''^3⁄4 scaling. Thus, metabolic scaling relationships are predicted to show a slight curvilinearity at the smallest size range.</q></ref>。

====修改后的热力学模型====

====修改后的热力学模型====