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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. Slap fight. What is the subject of “size invariant?” (capillaries or service volume?) What is the definition of “service volume?”
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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
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. Self similar
WBE TheoryAccording 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
WBE Theory Assumptions • Βk = rk+1/γk = lk+1/lk • Βk; scale factor for vessel radius • γk; scale factor for vessel length • Assumption; neither Βnorγdepend on k. (1) (2)
K&K Problems BWE K&K K&K
BWE K&K