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Файл:Ординатура / Хирургия / Библиотека им академика М.И. Перельмана / Книга_3787_Библиотеки_им_академика_М_И_Перельмана
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84 2 Morphometry of Coronary Vasculature
https://t.me/med1917
0.57 0.18
0.53 0.071
0.66 0.061
(4)
(18)
(23)
0.51 (1) 0.69 (1)
0.74 0.086
0.62 0.038
0.63 0.024
0.68 0.020
(10)
(58)
(144)
(221)
0.60 (1)
0.57 0.065
0.63 0.029
0.55 0.021
0.65 0.012
0.70 0.011
(15)
(92)
(195)
(553)
(711)
0.52 (1) 0.56 0.26
0.64 0.053
0.62 0.021
0.61 0.014
0.65 0.009
0.77 0.007
(3)
(34)
(175)
(449)
(1057)
(1561)
(5) (8)
0.060 0.57 0.071 0.34
(59) (149) (41) (19) (1)
(113) (459) (139) (37) (16)
(257) (1167) (380) (125) (22) (21) (1)
(228) (2930) (1176) (494) (172) (37) (12) (1)
(6) (18) (9)
(17) (44) (23) (3)
0.73 0.073
0.86 0.069
0.85 0.034
n
1 2 3 4 5 6 7 8 9 10 11 12
0 0.92 0.015
Table 2.16 Longitudinal position matrix of pig coronary sinusal venous tree
m
(20)
(14)
(56)
(185)
0.80 0.024
0.79 0.031
0.91 0.016
1 0.61 0.086
(124)
(79)
(171)
(8)
0.84 0.013
0.91 0.018
2 0.54 0.069
(385)
(123)
(6)
0.92 0.008
3 0.55 0.062
(666)
(4)
4 0.54 0.030 0.87 0.004 0.71 0.005 0.64 0.007 0.61 0.011 0.62 0.019 0.75 0.051 0.61 0.087
(60) (4271) (3167) (1492) (635) (210) (26) (11)
5 0.58 0.015 0.85 0.005 0.73 0.009 0.65 0.013 0.63 0.022 0.63 0.054 0.66 0.063 0.21
6 0.61 0.015 0.85 0.008 0.73 0.015 0.66 0.027 0.62
7 0.60 0.024 0.82 0.013 0.75 0.025 0.73 0.050 0.60 0.066
8 0.58 0.033 0.82 0.021 0.77 0.043 0.61 0.077 0.46
9 0.59 0.067 0.83 0.043 0.71 0.065 0.46 0.22
10 0.69 0.043 0.74 0.073 0.33 0.053
11 0.68 0.13 0.45 0.14
Values are means SE; nos. in parentheses are no. of observations. An element (m, n)inmth row and nth column is the fractional longitudinal position along the length of parent elements of order n of the branch point at
which elements of order m spring off
Appendix 3: Longitudinal Position Matrix of Arteries and Veins 85
https://t.me/med1917
(2)
0.19 0.020
(4)
0.20 0.10
(8)
0.64 0.087
(13)
0.71 0.084
0.38 0.036
0.44 0.10
0.64 0.039
0.67 0.031
(3)
(5)
(45)
(93)
0.54 0.095
0.21 0.096
0.38 0.082
0.51 0.047
0.58 0.027
0.019
0.69
(6)
(9)
(15)
(37)
(117)
(286)
(5)
0.56 0.12
(9)
0.34 0.096
(24)
0.52 0.060
(72)
0.57 0.033
(201)
0.64 0.020
(397)
0.77 0.015
0.51 0.054
0.48 0.046
0.48 0.030
0.56 0.018
0.69 0.013
0.83 0.009
(16)
(46)
(100)
(272)
(571)
(902)
0.55 0.076
0.48 0.047
0.57 0.033
0.64 0.020
0.80 0.0012
(15)
(36)
(80)
(230)
(586)
(114)
(8)
0.65 0.11
(32)
0.46 0.056
(65)
0.62 0.038
(187)
0.78 0.022
(77)
(12)
0.63 0.090
(25)
0.60 0.061
(49)
0.76 0.045
(42)
(8)
(9)
(2)
0.68 0.13
0.70 0.077
(4)
(19)
0.79 0.056
(8)
n
1 2 3 4 5 6 7 8 9 10
Table 2.17 Longitudinal position matrix of pig coronary Thebesian venous tree
m
(33)
0.68 0.057
(14)
0.86 0.069
(56)
0.85 0.034
(185)
0 0.92 0.015
0.85 0.017
0.79 0.031
0.91 0.016
1 0.61 0.086
(206)
(79)
(171)
(8)
0.87 0.012
0.91 0.018
2 0.54 0.069
(416)
(123)
(6)
(537)
0.90 0.010
(4)
3 0.55 0.062
(96)
6 0.55 0.028
4 0.60 0.028
5 0.54 0.024
7 0.55 0.048
8 0.75 0.085
9 0.18 0.096
10 0.47 0.35
Values are means SE; nos. in parentheses are no. of observations. An element (m, n)inmth row and nth column is the fractional longitudinal position along the length of parent
elements of order n of the branch point at which elements of order m spring off
86 2 Morphometry of Coronary Vasculature
https://t.me/med1917
Appendix 4: Diameter and Length Asymmetry Ratios
of Arteries and Veins
Tables 2.18, 2.19, 2.20, 2.21 and 2.22 Reprinted with permission from Kalsho and
Kassab (2004)
Table 2.18 Asymmetry ratios of diameters and lengths of daughter vessels in each order of mother
vessels in the RCA and its branches of the pig
Mother vessel, μm S
D
Order Mean SD Mean SD n Mean SD n
1 9.57 1.03 1.34 0.33 521 1.60 1.58 101
2 13.2 1.73 1.39 0.36 460 1.27 1.19 99
3 19.0 2.85 1.55 0.46 373 1.17 1.02 144
4 29.6 6.14 1.73 0.73 240 1.21 1.25 88
5 70.1 15.1 1.74 0.80 447 1.62 1.18 10
6 139 30.6 2.41 1.43 1323 1.62 1.80 126
7 259 45.4 3.69 2.68 991 2.50 4.06 336
8 422 62.0 4.77 3.77 475 2.52 2.94 266
9 712 133 5.61 5.24 162 3.29 3.48 124
10 1399 386 6.56 4.92 70 3.33 3.99 60
11 3227 258 10.4 6.64 20 4.58 6.23 16
RCA right coronary artery, S
diameter asymmetry ratio of daughter vessels, Sllength asymmetry
D
ratio of daughter vessels
S
l
Table 2.19 Asymmetry ratios of diameters and lengths of daughter vessels in each order of mother
vessels in the LAD artery and its branches of the pig
Mother vessel, μm S
D
S
l
Order Mean SD Mean SD n Mean SD n
1 9.22 0.95 1.42 0.36 464 1.54 1.54 87
2 12.8 1.76 1.47 0.42 320 1.20 1.04 95
3 18.5 2.55 1.52 0.46 171 1.09 0.80 58
4 29.2 7.35 1.69 0.60 103 1.19 1.13 38
5 80.4 17.4 1.84 1.16 437 1.61 0.59 6
6 156 36.2 2.53 1.95 1024 1.60 1.45 124
7 305 53.0 4.05 3.42 852 2.20 2.39 239
8 468 56.6 4.75 4.10 415 2.02 2.03 217
9 713 118 5.06 3.72 164 2.87 3.04 115
10 1532 367 5.85 4.36 48 3.10 2.29 38
11 3369 1055 7.12 3.43 16 3.62 1.82 15
LAD left anterior descending
Appendix 4: Diameter and Length Asymmetry Ratios of Arteries and Veins 87
https://t.me/med1917
Table 2.20 Asymmetry ratios of diameters and lengths of daughter vessels in each order of mother
vessels in the LCx artery and its branches of the pig
Mother vessel, μm S
D
S
l
Order Mean SD Mean SD n Mean SD n
1 9.21 0.95 1.43 0.37 466 1.64 1.69 89
2 12.8 1.76 1.47 0.42 321 1.25 1.13 96
3 18.5 2.55 1.52 0.46 171 1.09 0.80 58
4 27.5 5.38 1.67 0.50 87 1.19 1.13 38
5 83.6 17.1 1.70 0.70 96 1.70 0.14 2
6 149 30.5 1.74 0.80 272 1.91 1.70 20
7 290 58.1 2.61 1.60 286 2.01 2.42 85
8 467 75.4 3.39 2.05 177 2.62 3.34 106
9 1011 268 4.30 3.39 60 3.68 4.52 52
10 2560 323 5.8 4.61 10 3.27 3.52 10
LCx left circumflex
Table 2.21 Asymmetry ratios of major diameters and lengths of daughter vessels in each order of
mother vessels in the coronary sinus vein and its branches of the pig
Mother vessel, μm S
D
maj
S
l
Order Mean SD Mean SD n Mean SD n
1 11.7 11.7 1.38 1.26 191 1.88 1.25 9
2 18.8 3.22 1.71 0.65 236 1.44 1.64 29
3 26.9 4.54 1.90 0.81 150 1.45 1.15 44
4 61.1 3.35 2.00 0.41 1100 1.55 1.39 109
5 122 25.9 2.87 2.15 4014 1.41 1.43 241
6 206 42.7 4.22 3.61 3999 1.62 1.59 671
7 317 61.9 5.32 4.64 2298 1.72 1.76 715
8 454 97.8 6.04 5.26 1119 2.06 2.40 458
9 638 144 7.07 6.50 451 1.95 2.07 194
10 863 160 6.79 7.22 138 1.90 1.93 65
11 1657 667 7.28 7.98 75 2.69 2.37 49
12 3066
S
major diameter asymmetry ratio of daughter vessels
D
maj
896 7.46 6.69 7 2.52 2.04 6
88 2 Morphometry of Coronary Vasculature
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Table 2.22 Asymmetry ratios of major diameters and lengths of daughter vessels in each order of
mother vessels in the Thebesian veins and their branches of the pig
Mother vessel, μm S
D
maj
S
l
Order Mean SD Mean SD n Mean SD n
1 11.7 2.12 1.38 0.37 190 1.76 1.90 8
2 18.8 3.22 1.71 0.65 236 1.44 1.64 29
3 27.1 5.20 1.90 0.81 151 1.45 1.15 44
4 56.6 14.5 2.13 1.48 1088 1.30 1.25 105
5 111 24.6 3.03 2.46 1210 1.44 1.68 207
6 189 41.1 4.14 3.55 852 1.56 1.86 353
7 302 83.2 5.60 4.85 504 1.68 1.90 282
8 408 81.1 6.99 6.24 169 2.30 3.23 99
9 586 98.3 7.36 7.70 85 2.04 2.23 61
10 766 123 11.8 9.51 20 2.55 1.08 15
Appendix 5: Asymmetry Ratio Matrix 89
https://t.me/med1917
Appendix 5: Asymmetry Ratio Matrix
Tables 2.23, 2.24 , and 2.25 reprinted with permission from Kaimovitz et al. (2008)
90 2 Morphometry of Coronary Vasculature
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(2)
(8)
0.020
0.064 0.021
(2)
0.178 0.031
0.085 0.034
(9)
(8)
(3)
0.220 0.067
0.121 0.040
0.241 0.090
(14)
0.332 0.089
(12)
(3)
(in order m) where
m
(in order n)toD
s
are the diameters of the mother and smaller daughters,
s
and D
m
for the left anterior descending (LAD) artery where D
m
/D
s
0.181
0.347 0.113
(10)
0.067 0.013
0.342 0.031
0.515 0.063
(3)
(3)
(36)
0.034 0.005
0.048 0.013
0.085 0.023
0.151 0.033
0.485 0.069
(4)
(5)
(13)
(15)
(36)
(47)
0.05 0.012
0.062 0.020
0.137 0.033
0.280 0.084
(25)
(22)
(33)
(20)
0.067 0.020
0.086 0.016
0.117 0.030
0.243 0.066
(8)
(27)
(64)
(155)
(166)
0.110 0.034
0.158 0.039
0.237 0.070
(35)
(128)
(334)
(455)
0.224 0.050
0.321 0.078
(45)
(112)
(213)
0.369 0.087
(27)
(53)
(32)
m
Mother
1234567891011
Daughter
respectively
Table 2.23 Mean SD values for D
0.511 0.106
0 0.663 0.132
(68)
(295)
1 0.670 0.091
(106)
9 0.470 0.141
8 0.592 0.082
2 0.640 0.090
3 0.587 0.126
4 0.456 0.104
5 0.436 0.125
6 0.453 0.130
7 0.579 0.160
10 0.475 0.185
is the diameter of the smaller daughter vessel arising from a mother vessel with diameter of D
s
The intersection of row n and column m represents the mean SD values (averaged over the total number of mother vessels as indicated in parenthesis at the intersection) of the ratio of D
D
Appendix 5: Asymmetry Ratio Matrix 91
https://t.me/med1917
(5)
(20)
(2)
(in order n)to
s
0.075 0.021
(15)
0.165 0.080
0.302 0.092
(2)
0.205 0.054
(13)
0.055
(6)
0.151 0.046
are the diameters of the mother and smaller daughters, respectively
s
and D
m
for the left circumflex (LCx) artery where D
m
/D
s
0.181
0.347 0.113
(10)
0.342 0.031
0.515 0.063
(3)
(36)
0.491 0.061
(35)
(47)
0.069
0.300 0.037
(2)
(17)
0.106 0.009
0.148 0.027
0.305 0.110
(4)
(16)
(29)
(44)
0.175 0.041
0.276 0.079
(34)
(83)
(123)
0.304 0.084
(65)
(89)
(27)
m
Mother
Table 2.24 Mean SD values for D
(68)
0.511 0.106
(295)
1 2 3456 78910
1 0.670 0.091
0 0.663 0.132
Daughter
(106)
2 0.640 0.090
3 0.606 0.124
4 0.507 0.141
5 0.512 0.136
6 0.489 0.146
7 0.550 0.136
8 0.437 0.098
9 0.386 0.167
is the diameter of the smaller daughter vessel arising from a mother vessel with diameter of D
s
(in order m) where D
m
The intersection of row n and column m represents the mean SD values (averaged over the total number of mother vessels as indicated in parenthesis at the intersection) of the ratio of D
D
92 2 Morphometry of Coronary Vasculature
https://t.me/med1917
(9)
0.030
0.083 0.013
(7)
0.133 0.02
(3)
(in order m),
m
are the diameters of the mother and smaller daughters, respectively
s
and D
m
0.073 0.013
0.163 0.003
(2)
(6)
0.114 0.035
0.079 0.045
(2)
(5)
(27)
0.050 0.010
0.038 0.003
(6)
(28)
0.083 0.018
0.052 0.017
(9)
(18)
(108)
0.142 0.034
0.083 0.017
0.056 0.010
(7)
(2)
0.117 0.025
(2)
0.219 0.051
(13)
0.161 0.040
0.323 0.073
(52)
(48)
(231)
0.260 0.084
(179)
0.093 0.022
0.148 0.045
0.241 0.065
0.191 0.056
(142)
0.314 0.108
(318)
(532)
(43)
(114)
(222)
0.198 0.048
0.354 0.085
(19)
0.293 0.073
(33)
(79)
(13)
(23)
(7)
(in order n)toD
s
m
for the right coronary artery (RCA) where D
m
/D
s
Mother
1234567891011
Daughter
Table 2.25 Mean SD values for D
0.238 0.031
0.387 0.089
0.544 0.107
0 0.679 0.130
(3)
(21)
(83)
(271)
0.322 0.062
0.530 0.085
1 0.706 0.099
(20)
(91)
(169)
0.481 0.074
2 0.649 0.088
(56)
(115)
3 0.623 0.108
(69)
4 0.473 0.114
5 0.420 0.118
6 0.465 0.128
7 0.566 0.098
8 0.539 0.091
9 0.389 0.125
10 0.322 0.017
is the diameter of the smaller daughter vessel arising from a mother vessel with diameter of D
s
The intersection of row n and column m represents the mean SD values (averaged over the total number of mother vessels as indicated in parenthesis at the intersection) of the ratio of D
where D
Appendix 6: Numbers for segments and elements 93
https://t.me/med1917
Appendix 6: Numbers for segments and elements
Table 2.26 Total no. of vessel elements in each order of pig RCA, LAD, LCx, and LCCA
Number of vessel elements
RCA LAD LCx
Order
11 1 1 2
10 10 7 1 18
935 37 210 83 2
8 114 1 113 9 51 283 11
7 403 5 348 32 144 4 909 44
6 1458 44 1385 162 638 51 3524 247
5 7354 649 6386 1052 2148 312 16,093 2117
4 20,074 3739 17,985 5676 7554 2338 46,194 12,089
3 51,915 13,644 44,456 19,672 17,820 8001 115,638 42,301
2 138,050 46,070 140,293 72,949 56,915 29,829 339,873 152,326
1 393,294 158,657 368,554 221,134 149,380 90,276 923,339 480,169
Values are means SE, expressed in no. of vessel elements. LCCA left common coronary artery
Reprinted with permission from Kassab et al. (1993)
Table 2.27 Total number of vessel elements in each order of sinusal and coronary Thebesian veins
of pig
No. of vessels
Order
12 1
11 16 2
10 58 810 1
9 174 30 26 2
8 541 108 63 4
7 1725 380 196 20
6 4988 1200 685 81
5 16,211 4104 2325 340
4 63,01416,982 9713 1825
3 167,22152,204 22,437 5536
2 538,990204,426 61,362 23,154
1 1,656,943748,691 167,681 90,148
Values are means propagated error
Reprinted with permission from Kassab et al. (1994b)
Sinusal veins Thebesian veins
Whole heart RCA and
LCCA
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