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 authors develop an input-schema identifiability certificate for physics-informed surrogates that decomposes lumen velocity in tubular flow into mesh-measurable tangent direction, boundary-condition-dependent magnitude, and signed-orientation ambiguity using a Cosserat-rod reduction.
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