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Exploring Real Biological Systems Through Fractal Networks Theory

Delve into the comparison of real-life biological systems with ideal fractal networks theory proposed by West, Brown, and Enquist. Learn about self-similar WBE Theory assumptions and their implications for understanding nature's intricate design.

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Exploring Real Biological Systems Through Fractal Networks Theory

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  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. 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

  3. 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

  4. 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)

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

  6. BWE K&K

  7. K&K

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