1. How closely do real biological systems fit these ideal fractal networks of West, Brown, and Enquist? or… great moments in scientific discourse as read by children

2. Self similar Slap fight What is the subject of “size invariant?” (capillaries or service volume?) What is the definition of “service volume?” How do they affect the derivation? Yes.

3. WBE Theory According to W, B & E Assumes: (1) a space-filling network that branches hierarchically to supply all parts of the 3- dimensional body (2) body-size invariant terminal units (capillaries/petioles) (3) Minimization of the energy and time required to distribute resources

4. WBE Theory Assumptions Β k = r k+1 /γ k = l k+1 /l k Β k ; scale factor for vessel radius γ k ; scale factor for vessel length Assumption; neither Β nor γ depend on k. (1) (2)

5. K&K Problems BWE K&K K&K

6. BWE K&K

7. K&K