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It's crazy how biology has these scaling laws. For example, the number of calories a mammal needs daily ≈ m^{3/4}, where m is the mass of the mammal. This relationship apparently holds for all known mammals. Incidentally (or maybe not), the forth root turns up in almost all of these biological scaling laws. Why should biology have these incredibly regular patterns, including the 4th root stuff? See "A General Model for the Origin of Allometric Scaling Laws in Biology" [1] for some ideas. References -------------- [1] "A General Model for the Origin of Allometric Scaling Laws in Biology", http://umdberg.pbworks.com/w/file/fetch/48318752/Science-1997-West.pdf

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It's crazy how biology has these scaling laws. For example, the number of calories a mammal needs daily ≈ m^{3/4}, where m is the mass of the mammal. This relationship apparently holds for all known mammals. Incidentally (or maybe not), the forth root turns up in almost all of these biological scaling laws. Why should biology have these incredibly regular patterns, including the 4th root stuff? See "A General Model for the Origin of Allometric Scaling Laws in Biology" [1] for some ideas. References -------------- [1] "A General Model for the Origin of Allometric Scaling Laws in Biology", http://umdberg.pbworks.com/w/file/fetch/48318752/Science-1997-West.pdf
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David Meyer (dmm@mathstodon.xyz)'s status on Tuesday, 08-Oct-2024 05:47:01 JST David Meyer

It's crazy how biology has these scaling laws.
For example, the number of calories a mammal needs daily ≈ m^{3/4}, where m is the mass of the mammal. This relationship apparently holds for all known mammals. Incidentally (or maybe not), the forth root turns up in almost all of these biological scaling laws.
Why should biology have these incredibly regular patterns, including the 4th root stuff? See "A General Model for the Origin of Allometric Scaling Laws in Biology" [1] for some ideas.
References
--------------
[1] "A General Model for the Origin of Allometric Scaling Laws in Biology", http://umdberg.pbworks.com/w/file/fetch/48318752/Science-1997-West.pdf
#biology #scalelaws

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