Slide #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
More slides like this


Slide #2.

Slap fight Self similar 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.
More slides like this


Slide #3.

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


Slide #4.

WBE Theory Assumptions (1) (2) • Βk = rk+1/γk = lk+1/lk • Βk; scale factor for vessel radius • γk; scale factor for vessel length • Assumption; neither Β nor γ depend on k.
More slides like this


Slide #5.

K&K Problems BWE K&K K&K
More slides like this


Slide #6.

BWE K&K
More slides like this


Slide #7.

K&K
More slides like this