A theoretical model derives the universal mammalian vascular branching exponent α* ≈ 2.72 from a network-level minimax principle and topological rigidity theorem grounded in ATP costs, yielding α*_model ≈ 2.626 with heterogeneities shifting it to observed values.
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2 Pith papers cite this work, alongside 126 external citations. Polarity classification is still indexing.
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Kleiber's law is a signature of dynamic wave-impedance matching yielding the exponent β = dα/(2d+α), with 3/4 enforced in 3D and a parameter-free prediction for the wave-to-viscous transition at small body masses.
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The Incommensurability Principle in Biological Transport
A theoretical model derives the universal mammalian vascular branching exponent α* ≈ 2.72 from a network-level minimax principle and topological rigidity theorem grounded in ATP costs, yielding α*_model ≈ 2.626 with heterogeneities shifting it to observed values.
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The Dynamic Origin of Kleiber's Law
Kleiber's law is a signature of dynamic wave-impedance matching yielding the exponent β = dα/(2d+α), with 3/4 enforced in 3D and a parameter-free prediction for the wave-to-viscous transition at small body masses.