Why an elephant lives slower than a mouse bioRxiv

Original: "Local optimization of oxygen transport gives rise to Kleiber's law"
· P. F Pelz, T. C Meck
b42w:2609.90052 · the paper's page · 2026-09-09 · CC BY 4.0 · 1 min
It all comes down to the building blocks that make up the body: a mouse and an elephant have the same number of them, but in the elephant each block is bigger.

Compare a mouse and an elephant, and you'll see it right away: the mouse is jittery and hot, the elephant calm and cool. The mouse burns energy far faster for its size. For a long time, scientists couldn't figure out why. It turns out the answer lies in how oxygen delivery works inside the body.

A metabolic holon is a building block of life: a tiny blood vessel plus the cells around it. An organism is assembled from these blocks.

Each block works like a little factory: blood brings oxygen in, cells take it up. Scientists calculated the ideal size for such a block, one that would let oxygen be used completely while the vessels take up as little space as possible. It turned out that in warm-blooded animals, from a mouse to a whale, the number of blocks is the same: about five hundred million. The difference in body size comes not from adding new blocks but from making each one bigger.

The bigger the block, the more slowly oxygen reaches the cells, which is why an elephant's metabolism runs slower than a mouse's. This also explains heart rate: a shrew's heart beats a thousand times a minute, while a whale's beats just ten to twenty. The theory makes it possible to estimate how much energy extinct animals needed, dinosaurs for instance, based on their body mass.

A shrew's heart beats at about 1000 beats per minute, while a whale's beats only 10-20 times. The theory explains this difference through the number of holons and the volume of blood the heart must pump per beat.

B \propto M^{3/4}
Metabolic rate grows more slowly than body mass
q \propto d^3
The optimal compromise between vessel material and viscous losses
f_0 \propto m^{-1/4}
Heart rate falls as body mass increases

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