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94 2 Morphometry of Coronary Vasculature
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Appendix 7: Connectivity Matrix for Venous Arcades
Tables 2.28 and 2.29 reprinted with permission from Kassab et al. (1994b).

Appendix 7: Connectivity Matrix for Venous Arcades 95
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0.134 0.812 0.070
Order of feeders
Orderofdrainers
Table 2.28 Tree/arcade connectivity in veins of pig
1 2 3 4 5 6 7 8 9 10 11
8 0.156 0.065 0.625 0.257 0.812 0.275 1.97 0.470 1.25 0.246 0.719 0.157 0.594
7 0.061 0.030 0.303 0.082 0.646 0.157 1.60 0.290 0.908 0.158 0.661 0.103 0.959 0.069
6 0.120 0.084 0.203 0.070 0.320 0.097 1.08 0.216 0.780 0.112 0.820 0.089
5 0.210 0.164 0.316 0.265 0.526 0.280 0.842 0.245 0.737 0.129
3 211
4 0.222 0.147 0.667 0.441 0.778 0.324 0.889 0.201
9 0.385 0.311 0.385 0.266 0.692 0.286 1.54 0.704 1.23 0.361 1.00 0.438 1.00 0.320 0.692 0.208 0.846 0.191
10 0 0.253 0.250 0.375 0.375 2.62 0.905 1.50 0.527 1.00 0.500 0.750 0.250 1.25 0.453 0.500 0.267 0.750 0.164
11 0 0 0.333 0.333 1.67 0.882 3.00 2.00 3.67 2.18 0.667 0.333 1.67 0.882 1.33 0.882 1.00 0.577 0.667 0.333

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Table 2.29 Morphometry and connectivity of tree/anastomoses in veins of pig
Order of feeders
1 2 3 4 5 6 7 8 9 10 11 12
Order of drainers D, μm L,mm
7, 8 234 4.94 01242.51.50.500 0 0 0
6, 6 120 2.04 01151.52.5000 0 0 0
8, 8 274 5.90 012783000 0 0 0
7, 10 249 3.35 000001110 1 0 0
8, 10 228 4.34 110551210 1 0 0
11, 12 655 26.4 0 0 3 15 16 5760 1 0 1
12, 12 741 41.6 0 0 0.5 6 10 5.5 4.5 2.5 2 2 1 2
Values are means, D anastomoses diameter, L anastomoses length

Appendix 8: Connectivity Matrix of Capillaries 97
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Appendix 8: Connectivity Matrix of Capillaries

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to arteries and veins in RV and LV
0v
and C
0a
Order Number
Table 2.30 Connectivity of C
12345678
)
LV 3.18 0.118 0.675 0.080 0.148 0.081 0
RV 2.75 0.082 0.674 0.067 0.151 0.045 0.040 0.028
0a
Coronary arteries
(C
RV and LV coro-
)
0v
Thebesian 2.56 0.073 0.426 0.068 0.347 0.067 0.067 0.011 0.015 0.005 0.020 0.008 0.014 0.010 0.020 0.020
Sinusal 2.56 0.073 0.426 0.068 0.347 0.067 0.033 0.008 0.012 0.003 0.020 0.007 0.006 0.003 0
nary veins (C
Values are means SE of capillaries given out by each artery or vein of a specific order
Reprinted with permission from Kassab and Fung (1994)

Appendix 9: Diameters and Lengths of Capillary Segments 99
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Appendix 9: Diameters and Lengths of Capillary Segments
Tables 2.31 and 2.32 reprinted with permission by Kassab and Fung (1994).
Table 2.31 Segment diameters and lengths of pig coronary capillaries in RV free wall
Capillary order Diameter n Diameter, μm Length n Length, μm
C
0a
C
00
C
0v
C
cc
Values are means SD; n no. of vessels measured. RV right ventricle. All capillaries are order 0:
those fed directly by arterioles; C0vthose drained directly into venules; C00those connecting
C
0a
and C0vvessels; Ccccapillary cross-connection
C
0a
Table 2.32 Segment diameters and lengths of pig coronary capillaries in LV free wall
Capillary order Diameter n Diameter, μm Length n Length, μm
C
0a
C
00
C
0v
C
cc
Values are means SD; n no. of vessels measured. LV left ventricle
715 6.5 1.0 231 55.4 40.3
764 6.0 1.1 143 62.5 41.2
322 6.9 1.2 28 47.5 29.5
210 5.7 1.3 90 33.4 28.3
698 6.2 1.1 222 52.0 32.3
764 5.7 1.2 161 54.5 43.0
414 7.0 1.2 34 45.0 30.5
210 5.5 1.4 86 21.1 15.5

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Appendix 10: Sample Input File for the Arteriolar Tree
Shown in Fig. 2.16
Table 2.33 Sample input file for the arteriolar tree shown in Fig. 2.16
Node label Mother label Direction Diameter (μm) Length (μm)
1 1 ROOT 18.9 56.7
2 1 L 10.9 122
3 2 L 7.1 25.6
4 3 L 5.4 181
5 4 L 5.7 2
6 4 R 4.8 2
7 3 R 6.7 2
8 2 R 10.3 23.2
9 8 L 5.4 81.2
10 9 L 5.7 2
11 9 R 4.8 2
12 8 R 9.2 2
13 1 R 18.9 57.6
14 13 L 8.5 52.5
15 14 L 6.5 2
16 14 R 9.6 2
17 13 R 11.9 44.5
18 17 L 9.7 2
19 17 R 9.7 17.9
20 19 L 8.4 2
21 19 R 6.6 34
22 21 L 7 2
23 21 R 4.1 26.6
24 23 L 3.7 2
25 23 R 3.9 2
Reprinted with permission from Mittal et al. (2005)
References
Arts, M. G. J. (1978). A mathematical model of the dynamics of the left ventricle and the coronary
circulation. (Ph.D.), University of Limburg, Maastricht, The Netherlands.
Bassingthwaighte, J. B., Yipintsoi, T., & Harvey, R. B. (1974). Microvasculature of the dog left
ventricular myocardium. Microvascular Research, 7, 229–249. https://doi.org/10.1016/0026-
2862(74)90008-9
Beighley, P. E., Thomas, P. J., Jorgensen, S. M., & Ritman, E. L. (1997). 3D architecture of
myocardial microcirculation in intact rat heart: A study with micro-CT. Advances in Experi-
mental Medicine and Biology, 430, 165–175. https://doi.org/10.1007/978-1-4615-5959-7_14

References 101
https://t.me/med1917
Bertrand, G., & Aktouf, Z. (1994). A three-dimensional thinning algorithm using subfi elds. Vision
Geometry III, 2356, 113–124. https://doi.org/10.1117/12.198601
Brunner, D., & Brunnett, G. (2004). Mesh segmentation using the object skeleton graph. In
Proceedings of the International Conference of Computer Graphics and Imaging (pp. 48–55).
Bruschke, A., & Buis, B. (1987). Anatomy and pathology of large coronary vessels. In J. A.
E. Spaan, A. V. G. Bruschke, & A. C. Gittenberger-de Groot (Eds.), Coronary circulation:
From basic mechanisms to clinical implications. Dordrecht: Martinus Nijhoff Publishers.
Canny, J. F. (1986). A computational approach to edge detection. IEEE Transactions on Pattern
Analysis and Machine Intelligence, PAMI-8(6), 679–698. https://doi.org/10.1109/TPAMI.1986.
4767851
Carson, J. P., Einstein, D. R., Minard, K. R., Fanucchi, M. V., Wallis, C. D., & Corley, R. A.
(2010). High resolution lung airway cast segmentation with proper topology suitable for
computational fluid dynamic simulations. Computerized Medical Imaging and Graphics, 34
(7), 572–578. https://doi.org/10.1016/j.compmedimag.2010.03.001
Caulfield, J. B., & Borg, T. K. (1979). The collagen network of the heart. Laboratory Investigation,
40(3), 364–372.
Cornea, N. D., Silver, D., & Min, P. (2005). Curve-skeleton applications. Proceedings of the IEEE
Visualization,95–102. https://doi.org/10.1109/VISUAL.2005.1532783
Dyedov, V., Einstein, D. R., Jiao, X., Kuprat, A. P., Carson, J. P., & del Pin, F. (2009). Variational
generation of prismatic boundary-layer meshes for biomedical computing. International Jour-
nal for Numerical Methods in Engineering, 79(8), 907–945. https://doi.org/10.1002/nme.2583
Fung, Y. C., Sobin, S. S., Tremer, H., Yen, M. R., & Ho, H. H. (1983). Patency and compliance of
pulmonary veins when airway pressure exceeds blood pressure. Journal of Applied Physiology:
Respiratory, Environmental and Exercise Physiology, 54(6), 1538–1549. https://doi.org/10.
1152/jappl.1983.54.6.1538
Garcia-Sanz, A., Rodriguez-Barbero, A., Bentley, M. D., Ritman, E. L., & Romero, J. C. (1998).
Three-dimensional microcomputed tomography of renal vasculature in rats. Hypertension, 31
(2), 440–444. https://doi.org/10.1161/01.HYP.31.1.440
Horsfield, K. (1978). Morphometry of the small pulmonary arteries in man. Circulation Research,
42, 593–597.
Horsfield, K., & Gordon, W. I. (1981). Morphometry of pulmonary veins in man. Lung, 159,
211–218. https://doi.org/10.1007/BF02713917
Horton, R. E. (1945). Erosional development of streams and their drainage basins: Hydrophysical
approach to quantitative morphology. Bulletin of the Geological Society of America, 56,
275–370.
Jiao, X., & Zha, H. (2008). Consistent computation of
for surface meshes. In ACM Solid and Physical Modeling Symposium.
Jorgensen, S. M., Demirkaya, O., & Ritman, E. L. (1998). Three-dimensional imaging of vascu-
lature and parenchyma in intact rodent organs with X-ray micro-CT. American Journal of
Physiology-Heart and Circulatory Physiology, 44, H1103–H1114. https://doi.org/10.1152/
ajpheart.1998.275.3.H1103
Kaimovitz, B. (2001). Stochastic morphometric reconstruction of the pig’s coronary tree. (Mas-
ters), Technion–Israel Institute of Technology.
Kaimovitz, B., Huo, Y., Lanir, Y., & Kassab, G. S. (2008). Diameter asymmetry of porcine
coronary vasculature: Structural and functional implications. American Journal of Physiology-
Heart and Circulatory Physiology, 294(2), H714–H723. https://doi.org/10.1152/ajpheart.
00818.2007
Kaimovitz, B., Lanir, Y., & Kassab, G. S. (2005). Large-scale reconstruction of the porcine
coronary arterial vasculature based on detailed anatomical data. Annals of Biomedical Engi-
neering, 33(11), 1517–1535. https://doi.org/10.1007/s10439-005-7544-3
Kaimovitz, B., Lanir, Y., & Kassab, G. S. (2010). A full 3-D reconstruction of the entire porcine
coronary vasculature. American Journal of Physiology-Heart and Circulatory Physiology, 299
(4), H1064–H1076. https://doi.org/10.1152/ajpheart.00151.2010
first- and second-order differential quantities

102 2 Morphometry of Coronary Vasculature
https://t.me/med1917
Kalsho, G., & Kassab, G. S. (2004). Bifurcation asymmetry of the porcine coronary vasculature and
its implications on coronary flow heterogeneity. American Journal of Physiology-Heart and
Circulatory Physiology, 287, H2493–H2500. https://doi.org/10.1152/ajpheart.00371.2004
Kassab, G. S. (2000). The coronary vasculature and its reconstruction. Annals of Biomedical
Engineering, 28, 903–915. https://doi.org/10.1114/1.1308494
Kassab, G. S., Berkley, J., & Fung, Y. C. (1997). Analysis of pig’s coronary arterial blood flow with
detailed anatomical data. Annals of Biomedical Engineering, 25, 204–217. https://doi.org/10.
1007/BF02738551
Kassab, G. S., & Fung, Y. C. (1994). Topology and dimensions of pig coronary capillary network.
American Journal of Physiology, 267, H319–H325. https://doi.org/10.1152/ajpheart.1994.267.
1.H319
Kassab, G. S., Lin, D., & Fung, Y. C. (1994a). Consequences of pruning in morphometry of
coronary vasculature. Annals of Biomedical Engineering, 22, 398–403. https://doi.org/10.1007/
BF02368246
Kassab, G. S., Lin, D., & Fung, Y. C. (1994b). Morphometry of the pig coronary venous system.
American Journal of Physiology-Heart and Circulatory Physiology, 267, H2100–H2113.
https://doi.org/10.1152/ajpheart.1994.267.6.H2100
Kassab, G. S., Navia, J. A., March, K., & Choy, S. (2008). Coronary venous retroperfusion: An old
concept, a new approach. Journal of Applied Physiology, 104(5), 1266–1272. https://doi.org/10.
1152/japplphysiol.00063.2008
Kassab, G. S., Pallencaoe, E., Schatz, A., & Fung, Y. C. (1997). Longitudinal position matrix of the
pig coronary vasculature and its hemodynamic implications. American Journal of Physiology,
273, H2832–H2842. https://doi.org/10.1152/ajpheart.1997.273.6.H2832
Kassab, G. S., Rider, C. A., Tang, N. J., & Fung, Y. C. (1993). Morphometry of pig coronary
arterial trees. American Journal of Physiology-Heart and Circulatory Physiology, 265, H350–
H365. https://doi.org/10.1152/ajpheart.1993.265.1.H350
Kassab, G. S., Schatz, A., Imoto, K., & Fung, Y. C. (2000). Remodeling of the bifurcation
asymmetry of right ventricular branches in hypertrophy. Annals of Biomedical Engineering,
28, 424–430. https://doi.org/10.1114/1.280
Kuprat, A. P., & Einstein, D. R. (2009). An anisotropic scale-invariant unstructured mesh generator
suitable for volumetric imaging data. Journal of Computational Physics, 228, 619–640. https://
doi.org/10.1016/j.jcp.2008.09.030
Lee, T., Kashyap, R. L., & Chu, C. N. (1994). Building skeleton models via 3-D medial surface/axis
thinning algorithms. CVGIP: Graphical Models and Image Processing, 56(6), 462–478.
Lobregt, S., Verbeek, P. W., & Groen, F. C. A. (1980). Three-dimensional skeletonization:
Principle and algorithm. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2
(1), 75–77.
Lohou, C., & Bertrand, G. (2004). A 3D 12-subiteration thinning algorithm based on P-simple
points. Discrete Applied Mathematics, 139, 171–195. https://doi.org/10.1016/j.dam.2002.11.
002
Lorensen, W. E., & Cline, H. E. (1987). Marching cubes: A high resolution 3D surface construction
algorithm. Computer & Graphics, 21(4), 163–169. https://doi.org/10.1145/37401.37422
Luboz, V., Wu, X., Krissian, K., Westin, C. F., Kikinis, R., Cotin, S., & Dawson, S. (2005). A
segmentation and reconstruction technique for 3D vascular structures. MICCAI 2005, Lecture
Notes in Computer Science, 3749,43–50. https://doi.org/10.1007/11566465_6
Luo, T., Wischgoll, T., Koo, B. K., Huo, Y., & Kassab, G. S. (2014). IVUS validation of patient
coronary artery morphometry obtained from CT Images. PLoS One, 299(1), e86949. https://doi.
org/10.1371/journal.pone.0086949
Mittal, N., Zhou, Y., Ung, S., Linares, C., Molloi, S., & Kassab, G. S. (2005). A computer
reconstruction of the entire coronary arterial tree based on detailed morphometric data. Annals
of Biomedical Engineering, 33(8), 1015–1026. https://doi.org/10.1007/s10439-005-5758-z
https://doi.org/10.1109/TPAMI.1980.4766974

References 103
https://t.me/med1917
Nordsletten, D. A., Blackett, S., Bentley, M. D., Ritman, E. L., & Smith, N. P. (2006). Structural
morphology of renal vasculature. American Journal of Physiology-Heart and Circulatory
Physiology, 291(1), H296–Hd309. https://doi.org/10.1152/ajpheart.00814.2005
Palágyi, K., & Kuba, A. (1996). A parallel 3D 12-subiteration thinning algorithm. Graphical
Models and Image Processing, 61(4), 199–221.
Saha, P. K., Chaudhuri, B. B., & Majumder, D. (1997). A new shape preserving parallel thinning
algorithm for 3D digital images. Pattern Recognition, 30(12), 1939–1955. https://doi.org/10.
1016/S0031-3203(97)00016-2
Si, H. (2004). TetGen. A quality tetrahedral mesh generator and three-dimensional delaunay
triangulator. WIAS Technical Report, 9. https://doi.org/10.1145/2629697
Singhal, S., Henderson, R., Horsfield, K., Harding, K., & Cumming, G. (1973). Morphometry of the
human pulmonary arterial tree. Circulation Research, 33(2), 190–197. https://doi.org/10.1161/
01.RES.33.2.190
Sobin, S. S. (1965). The vascular injection method and the functional geometry of the microcircu-
lation. Investigative Opthamology & Visual Science, 4, 1105–1110.
Sobin, S. S., Tremer, H. H., & Frasher, W. G. (1964). Microvascular casting with silicone
elastomer. 2nd European Conf. Microcirculation. Bibliotheca Anatomica, 4, 444–448.
Spaan, J. A., ter Wee, R., van Teeffelen, J. W., Streekstra, G., Siebes, M., Kolyva, C., ...VanBavel,
E. (2005). Visualisation of intramural coronary vasculature by an imaging cryomicrotome
suggests compartmentalisation of myocardial perfusion areas. Medical & Biological Engineer-
ing & Computing, 43(4), 431–435. https://doi.org/10.1007/BF02344722
Strahler, A. N. (1952). Hypsometric (area altitude) analysis of erosional topology. Bulletin of the
Geological Society of America, 63, 1117–1142. https://doi.org/10.1130/0016-7606(1952)63[
1117:HAAOET]2.0.CO;2
Tsao, Y. F., & Fu, K. S. (1981). A parallel thinning algorithm for 3-D pictures. Computer Graphics
and Image Processing, 17, 315–331. https://doi.org/10.1016/0146-664X(81)90011-3
van Horssen, P., Siebes, M., Hoefer, I., Spaan, J. A., & van den Wijngaard, J. P. (2010). Improved
detection of fluorescently labeled microspheres and vessel architecture with an imaging
cryomicrotome. Medical & Biological Engineering & Computing, 48(8), 735–744. https://doi.
org/10.1007/s11517-010-0652-8
VanBavel, F. (1989). Metabolic and myogenic control of blood flow studied on isolated small
arteries. (Ph.D.).
VanBavel, F., & Spaan, J. A. E. (1992). Branching patterns in the porcine coronary arterial tree.
Estimation of flow heterogeneity. Circulation Research, 71, 1200–1212. https://doi.org/10.
1161/01.RES.71.5.1200
Weaver, M. E., Pantely, G. A., Bristow, J. D., & Ladley, H. D. (1986). A quantitative study of the
anatomy and distribution of coronary arteries in swine in comparison with other animals and
man. Cardiovascular Research, 20(12), 907–917.
Weibel, E. R. (1963). Morphometry of the human lung. New York: Academic.
Wischgoll, T., Choy, J. S., & Kassab, G. S. (2009). Extraction of morphometry and branching
angles of porcine coronary arterial tree from CT images. American Journal of Physiology-Heart
and Circulatory Physiology, 297(5), H1949–H1955. https://doi.org/10.1152/ajpheart.00093.
2009
Wischgoll, T., Choy, J. S., Ritman, E. S., & Kassab, G. S. (2008). Validation of image-based
extraction method for morphometry of coronary arteries. Annals of Biomedical Engineering, 36
(3), 356–368. https://doi.org/10.1007/s10439-008-9443-x
Wischgoll, T., Einstein, D. R., Kuprat, A. P., Jiao, X., & Kassab, G. S. (2010). Vascular geometry
reconstruction and grid generation. In Computational Cardiovascular Mechanics: Modeling
and Applications in Heart Failure (pp. 103–119).
Wischgoll, T., Meyer, J., Kaimovitz, B., Lanir, Y., & Kassab, G. S. (2007). A novel method for
visualization of entire coronary arterial tree. Annals of Biomedical Engineering, 35(5), 694–710.
https://doi.org/10.1007/s10439-007-9278-x
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