- #1

johnq2k7

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a.) Show that D_n/D_0= 2^(-n/3)

b.) Show that 35 generations are required to model the arterial tree from aorta (D_0=2.6 cm) to the capillaries (D_34=10 um)

c.) Derive a formula for the mean transit time (ie vessel length divded by mean velociity) for an individual vessel. Based on this formula, how long does the model suggest it would take for blood to go from the aorta to the capillaries?

My work:

a.) since

(D_n-1)^3 is approximately equal to 2*(D_n)^3

therefore,

(D_n-1/D_n)^3= 2

therefore i Dn/Do= 2^(-n/3)

I'm not sure

i need help with the other questions, I'm confused how use this equation to solve the problem?