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The Scaling of Blood Flow Resistance: From a Single Vessel to the Entire Distal Tree
Yunlong Huo, Ghassan S. Kassab Biophysical Journal Volume 96, Issue 2, Pages (January 2009) DOI: /j.bpj Copyright © 2009 Biophysical Society Terms and Conditions
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Figure 1 Relationship between (Rc/Rmax)×(Ds/Dmax)4 and normalized crown length (Lc/Lmax) in the asymmetric entire (A) LAD, (B) LCx, and (C) RCA trees of pig, which include 946,937, 571,383, and 836,712 stem-crown units, respectively. (D–F) Relationship between Rc/Rs and Lc/Ls in the LAD, LCx, and RCA trees of pig corresponding to (A–C). Biophysical Journal , DOI: ( /j.bpj ) Copyright © 2009 Biophysical Society Terms and Conditions
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Figure 2 (A) Corresponding to Table 1, the relationship between (Rc/Rmax)×(Ds/Dmax)4 and normalized crown length (Lc/Lmax) in the symmetric vascular tree for various species (16,18–29). (B) Corresponding to A, the relationship between Rc/Rs and Lc/Ls. Biophysical Journal , DOI: ( /j.bpj ) Copyright © 2009 Biophysical Society Terms and Conditions
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Figure 3 A comparison of (Ks/Kc)ML from the nonlinear regression of anatomical data and (Ks/Kc)EQ based on equations Ks=128μ/π and Kc=Rmax×Dmax4/Lmax. The comparison can be represented as (Ks/Kc)EQ=A×(Ks/Kc)MLB. When A is constrained to be 1 in the Marquardt-Levenberg algorithm, B has a value of 1 (R2 = 0.983). Biophysical Journal , DOI: ( /j.bpj ) Copyright © 2009 Biophysical Society Terms and Conditions
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Figure 4 (A) Relationship between (Rc/Rmax)×(Ds/Dmax)4 and normalized crown volume (Lc/Lmax) in the LAD, LCx, and RCA epicardial trees of pig with diameter of mother vessels larger than 1 mm, which include 132, 90, and 192 vessel segments, respectively. (B) Relationship between Rc/Rs and Lc/Ls in the LAD, LCx, and RCA epicardial trees of pig corresponding to A. Biophysical Journal , DOI: ( /j.bpj ) Copyright © 2009 Biophysical Society Terms and Conditions
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