Geodesic
Conformity of vein merging angles to the rules of Roux in the mathematical interpretation of Murray
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 31 (2020) no. 2, pp. 79-91

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An algorithm has been developed to test the statistical hypothesis, which states that the Roux W. rule in Murray's mathematical interpretation is performed for merging veins located in the same plane between the fascia sheets of the anterior abdominal wall, using the Fisher and Student criteria. Using the author's technique, 100 fusions of the superficial veins of the anterior abdominal wall were studied in 50 patients (without venous pathology) on magnetic resonance images. For the first time, it was shown that the merging of superficial veins, as well as branching of arteries, occurs in accordance with the principle of minimum costs and the rules of thumb of Roux, using which, it is possible to identify anatomically the structure of veins predisposed to obvious diseases, including thrombosis. However, the range of applicability of these rules is limited by 2D geometry and requires refinement of the measurement procedure for the three-dimensional case
Keywords: Statistical hypothesis testing, Fisher test, Student test, magnetic resonance imaging, superficial veins.
Mots-clés : Roux rules 
@article{VKAM_2020_31_2_a5,
     author = {N. R. Urmantseva and V. A. Galkin and K. V. Mazayshvili and M. A. Shushaev and T. V. Gavrilenko},
     title = {Conformity of vein merging angles to the rules of {Roux} in the mathematical interpretation of {Murray}},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {79--91},
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     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2020_31_2_a5/}
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N. R. Urmantseva; V. A. Galkin; K. V. Mazayshvili; M. A. Shushaev; T. V. Gavrilenko. Conformity of vein merging angles to the rules of Roux in the mathematical interpretation of Murray. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 31 (2020) no. 2, pp. 79-91. http://geodesic.mathdoc.fr/item/VKAM_2020_31_2_a5/