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. Author manuscript; available in PMC: 2023 Nov 16.
Published in final edited form as: Phys Med Biol. 2022 Nov 16;67(22):10.1088/1361-6560/ac9e40. doi: 10.1088/1361-6560/ac9e40

Table 2.

Anatomical power laws.

Parameter Power law exponent Tissue Reference

N(r) −2.7 pulmonary Huang et al. (1996)
N(r) −2.5 brain arterial Mut et al. (2014)
N(r) −1.3 cortex terminal arterial Cassot et al. (2006)
N(r) −3.0 Murray’s Law Sherman (1981)
L(r) +0.7 pulmonary Huang et al. (1996)
L(r) +1.3 cortex terminal arterial Cassot et al. (2006)
L(r) +0.75 to + 1.2 fractal tree structures Hughes (2015) Takahashi (2014)

N(r) = number density, L(r) = vessel length as a function of r.