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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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74 2 Morphometry of Coronary Vasculature
https://t.me/med1917
Appendix 2: Connectivity Matrix of Arteries and Veins
Appendix 2: Connectivity Matrix of Arteries and Veins 75
https://t.me/med1917
0.246 2.80 0.854 11
Table 2.8 Connectivity matrix of pig RCA
Order m
1234567891011
0 2.75 0.082 0.674 0.067 0.151 0.045 0.040 0.028 0000000
Order n
1 0.131 0.027 2.13 0.070 0.802 0.101 0.300 0.104 0.008 0.008 0.004 0.003 0 0 0 0 0
2 0.080 0.025 2.15 0.085 0.700 0.109 0.159 0.037 0.020 0.006 0.037 0.013 0 0 0 0
3 0.070 0.028 2.12 0.116 0.688 0.067 0.314 0.027 0.244 0.033 0.143 0.033 0.069 0.041 0 0
4 0.160 0.052 2.13 0.090 0.444 0.031 0.645 0.057 0.468 0.074 0.324 0.145 0 0
5 0.344 0.035 2.43 0.046 1.43 0.074 1.51 0.157 0.853 0.189 0.727 0.304 0
8 0.099 0.031 2.62 0.227 2.00 0.907 8
6 0.167 0.018 2.14 0.060 1.37 0.106 1.68 0.334 1.80 0.611 1
9 0.059 0.041 2.40 0.562 5
7 0.130 0.019 2.32 0.092 1.23
10 0.400 0.221 6
11 0
order n
Reprinted with permission from Kassab et al. (1993)
Values are means SE. An element (m, n)inmth row and nth column is ratio of total no. of elements of order m that spring directly from parent elements of order n divided by total no. of elements of
76 2 Morphometry of Coronary Vasculature
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0.061 0.024 2.50 0.209 2.50 1.06 3
Table 2.9 Connectivity matrix of pig LAD
Order m
1234567891011
0 3.18 0.118 0.675 0.080 0.148 0.081 00000000
Order n
4 0.143 0.097 2.25 0.097 0.425 0.042 0.380 0.017 0.428 0.070 0.303 0.102 0.167 0.167 0
3 0.074 0.036 2.14 0.204 0.381 0.056 0.098 0.018 0.120 0.028 0.092 0.029 0.030 0.030 0 0
2 0.094 0.027 2.24 0.102 1.50 0.274 0.063 0.025 0.094 0.019 0.023 0.010 0 0 0 0
1 0.144 0.031 2.04 0.070 0.630 0.116 0.071 0.071 0 0 0 0 0 0 0
5 0.238 0.035 2.50 0.070 1.91 0.111 1.56 0.173 1.36 0.281 0.667 0.333 0
8
7 0.116 0.022 2.09 0.106 1.30 0.300 2.00 1.09 2
6 0.155 0.022 2.50 0.080 1.58 0.159 1.48 0.323 1.17 0.654 0
9 0.121 0.058 3.33 1.12 8
10 0.100 0.100 5
11 0
Values are means SE. An element (m, n)inmth row and nth column is ratio of total no. of elements of order m that spring directly from parent elements of order n divided by total no. of elements of
order n
Reprinted with permission from Kassab et al. (1993)
Appendix 2: Connectivity Matrix of Arteries and Veins 77
https://t.me/med1917
Order m
Table 2.10 Connectivity matrix of pig LCx
12345678910
2 0.094 0.027 2.24 0.102 1.50 0.274 0.150 0.058 0 0 0 0 0
1 0.144 0.031 2.04 0.070 0.630 0.116 0.071 0.071 0 0 0 0 0 0
0 3.18 0.118 0.675 0.080 0.148 0.081 0 0 0 0 0 0 0
Order n
th row and nth column is ratio of total no. of elements of order m that spring directly from parent elements of order n divided by
9 0.111 0.111 8
8 0.196 0.067 4.00 0.680 4
7 0.168 0.046 2.04 0.132 2.00 0.667 4
6 0.213 0.042 2.33 0.110 2.02 0.252 1.78 0.325 2
5 0.100 0.043 2.51 0.089 1.13 0.115 0.956 0.158 0.444 0.242 0
4 0.143 0.097 2.85 0.148 0.385 0.076 0.179 0.042 0.109 0.046 0 0
3 0.074 0.036 2.14 0.204 0.150 0.077 0.025 0.018 0.011 0.011 0 0 0
10 0
Values are means SE. An element (m, n)inm
total no. of elements of order n
Reprinted with permission from Kassab et al. (1993)
78 2 Morphometry of Coronary Vasculature
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0.268 8
Table 2.11 Connectivity matrix C(m, n) for coronary sinusal veins of pig
Order
1 2 3 4 5 6 7 8 9 10 11 12
Order
0 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 00000
2 0.109 0.031 2.44 0.114 1.01 0.042 0.338 0.015 0.325 0.018 0.303 0.028 0.345 0.063 0.209 0.074 0.083 0.061 0 0
3 0.067 0.029 2.17 0.040 0.808 0.024 0.649 0.029 0.689 0.050 0.635 0.103 0.505 0.126 0.194 0.118 0.308 0.175 0
1 0.105 0.028 2.47 0.117 0.773 0.107 0.315 0.023 0.104 0.008 0.103 0.009 0.089 0.014 0.064 0.017 0.066 0.046 0.028 0.028 0 0
4 0.140 0.015 2.30 0.030 1.97 0.045 2.28 0.102 2.64 0.254 2.64 0.314 1.42 0.332 1.77 0.717 0
5 0.097 0.007 2.01 0.035 1.81 0.068 2.08 0.139 2.15 0.207 1.64 0.359 2.38 0.712 1
6 0.168 0.011 1.71 0.045 1.63 0.107 1.60 0.170 0.861 0.150 2.77 0.717 1
7 0.164 0.016 1.86 0.077 1.85 0.165 1.22 0.219 2.08 0.625 0
8 0.188 0.029 1.64 0.122 1.33 0.229 2.54 0.938 1
9 0.231 0.054 1.33 0.149 2.38 0.525 3
12 0
10 0.167 0.063 2.15 0.406 9
11 0.462
Reprinted with permission from Kassab et al. (1994b)
Values are means SE
Appendix 2: Connectivity Matrix of Arteries and Veins 79
https://t.me/med1917
Table 2.12 Connectivity matrix C(m, n) for Thebesian veins of pig
Order
1 2 3 4 5 6 7 8 9 10
Order
0 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 0 0
2 0.109 0.031 2.44 0.114 0.854 0.029 0.460 0.031 0.311 0.036 0.324 0.062 0.392 0.097 0.458 0.301 0.600 0.400
3 0.067 0.029 2.03 0.047 0.668 0.034 0.544 0.056 0.641 0.094 0.608 0.163 0.458 0.248 0.600 0.305
1 0.105 0.028 2.47 0.117 0.713 0.107 0.435 0.029 0.152 0.017 0.130 0.022 0.055 0.019 0.078 0.038 0.042 0.042 0
4 0.300 0.022 2.01 0.043 1.76 0.085 2.15 0.197 2.49 0.407 2.25 0.657 2.80 0.533
5 0.181 0.016 1.84 0.057 1.91 0.158 2.18 0.371 1.83 0.513 2.50 0.401
6 0.203 0.025 1.90 0.095 1.84 0.268 1.54 0.340 2.20 0.533
7 0.234 0.040 1.53 0.182 1.37 0.329 1.50 0.428
8 0.216 0.058 1.37 0.261 1.40 0.221
9 0.167 0.078 1.90 0.378
10 0.417 0.193
Values are means SE
Reprinted with permission from Kassab et al. (1994b)
80 2 Morphometry of Coronary Vasculature
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Appendix 3: Longitudinal Position Matrix of Arteries
and Veins
Tables 2.13, 2.14, 2.15, 2.16, and 2.17 reprinted with permission from Kassab,
Schatz, Imoto, and Fung (20 00).
Appendix 3: Longitudinal Position Matrix of Arteries and Veins 81
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0.79 0.021
(2)
(11)
0.68 0.18
0.49 0.068
0.56 0.059
(7)
0.66 0.049
0.64 0.081
(2)
(6)
(31)
0.73 0.20
0.68 0.10
(18)
(53)
0.55 0.069
0.62 0.033
(60)
(18)
0.60 0.037
0.70 0.065
(2)
(41)
0.63 0.025
0.85 0.037
(135)
0.61 0.027
0.020
0.68
(137)
(241)
0.65 0.048
0.61 0.021
0.66 0.015
0.87 0.007
0.62 0.040
(181)
0.64 0.024
(434)
0.84 0.011
(1094)
(22)
(53)
(153)
(641)
(63)
0.56 0.065
0.59 0.050
0.83 0.017
(24)
0.60 0.057
(42)
0.79 0.034
(266)
(38)
(9)
(18)
(85)
(10)
0.86 0.11
0.78 0.064
(5)
(25)
(3)
(6)
0.46 0.16
(4)
n
1234567891011
Table 2.13 Longitudinal position matrix of pig right coronary arterial tree
m
0.14 (1)
0.71 0.068
0.83 0.024
0 0.88 0.011
(13)
(112)
(476)
0.77 0.025
0.64 0.075
0.74 0.032
0.88 0.013
1 0.55 0.038
(2)
(18)
(80)
(357)
(34)
0.80 0.046
0.67 0.045
0.88 0.015
2 0.55 0.055
(37)
(42)
(228)
(14)
0.87 0.037
0.86 0.032
3 0.41 0.11
(56)
(74)
(4)
0.94 0.012
4 0.65 0.077
(225)
(8)
5 0.60 0.067
(9)
7 0.47 0.033
6 0.57 0.032
8 0.47 0.075
9 0.48 0.11
10 0.48 0.13
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
82 2 Morphometry of Coronary Vasculature
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0.48 0.11
0.70 0.046
(8)
(32)
0.40 (1)
0.44 0.072
0.56 0.050
0.60 0.058
(11)
(29)
(30)
0.80 (1)
0.065
0.81
0.52 0.047
0.60 0.033
0.69 0.026
(10)
(37)
(80)
(141)
0.70 0.16
0.63 0.041
0.60 0.023
0.59 0.017
0.87 0.010
(4)
(46)
(147)
(341)
(755)
0.61 0.068
0.63 0.037
0.60 0.024
0.83 0.012
(7)
(53)
(143)
(467)
(50)
0.32 0.070
0.71 0.094
0.68 0.041
0.84 0.021
(2)
(12)
(43)
(200)
(22)
0.66 0.015
0.60 0.076
0.79 0.035
(2)
(16)
(83)
(4)
0.71 0.10
0.70 0.072
(9)
(19)
(4)
(4)
n
1234567891011
Table 2.14 Longitudinal position matrix of pig left anterior descending arterial tree
m
0.79 0.066
0.80 0.028
0 0.84 0.012
(9)
(89)
(458)
0.56 0.18
0.76 0.040
0.88 0.015
1 0.52 0.052
(4)
(41)
(265)
(22)
0.98 0.020
0.72 0.049
0.89 0.023
2 0.47 0.069
(5)
(29)
(120)
(22)
0.85 0.062
0.88 0.044
3 0.57 0.14
(23)
(32)
(4)
0.96 0.013
4 0.39 0.23
(144)
(2)
5 0.60 0.080
(7)
6 0.58 0.031
7 0.47 0.055
8 0.39 0.15
9 0.58 0.18
10 0.04 (1) 0.56 0.16
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 83
https://t.me/med1917
(4)
(4)
(8)
0.46 0.11
0.78 0.058
0.51 .21 (2)
(7)
(15)
(17)
(37)
0.52 0.076
0.53 0.069
0.57 0.083
0.70 0.053
(3)
0.70 0.18
0.59 0.046
(15)
0.69 0.080
0.71 0.029
(20)
0.83 0.061
0.82 0.18 (2) 0.74 (1)
(3)
(2)
0.97 0.033
0.87 0.025
(4)
(29)
(32)
0.56 0.18
0.72 0.049
0.88 0.044
(9)
(41)
0.79 0.066
0.76 0.040
0.89 0.023
(4)
(120)
0.926 0.015
(34)
0.98 0.014
(2)
(41)
(108)
(167)
(2)`
(80)
0.60 0.036
0.85 0.028
(222)
0.85 0.018
(10)
(97)
(14)
(9)
n
123456 78910
Table 2.15 Longitudinal position matrix of pig left circumflex arterial tree
(89)
0.80 0.028
0.88 0.015
(458)
m
0 0.84 0.012
1 0.52 0.052
(265)
(22)
2 0.47 0.069
(12)
3 0.57 0.14
4 0.39 0.23
5 0.80 0.10
6 0.57 0.059
7 0.62 0.042
8 0.54 0.079
9 0.59 (1) 0.65 0.12
elements of order n of the branch point at which elements of order m spring off
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
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