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.