Vestnik KRAUNC. Fiziko-Matematicheskie Nauki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestnik KRAUNC. Fiz.-Mat. Nauki:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2020, Volume 31, Number 2, Pages 79–91
DOI: https://doi.org/10.26117/2079-6641-2020-31-2-79-91
(Mi vkam404)
 

MATHEMATICAL MODELING

Conformity of vein merging angles to the rules of Roux in the mathematical interpretation of Murray

N. R. Urmantsevaa, V. A. Galkinab, K. V. Mazayshvilia, M. A. Shushaeva, T. V. Gavrilenkoab

a Surgut State University
b Federal State Institution "Scientific Research Institute for System Analysis of the Russian Academy of Sciences", Surgut branch
References:
Abstract: 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, Roux rules, magnetic resonance imaging, superficial veins.
Document Type: Article
UDC: 004.942
MSC: 34C60
Language: Russian
Citation: 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. Fiz.-Mat. Nauki, 31:2 (2020), 79–91
Citation in format AMSBIB
\Bibitem{UrmGalMaz20}
\by N.~R.~Urmantseva, V.~A.~Galkin, K.~V.~Mazayshvili, M.~A.~Shushaev, T.~V.~Gavrilenko
\paper Conformity of vein merging angles to the rules of Roux in the mathematical interpretation of Murray
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2020
\vol 31
\issue 2
\pages 79--91
\mathnet{http://mi.mathnet.ru/vkam404}
\crossref{https://doi.org/10.26117/2079-6641-2020-31-2-79-91}
Linking options:
  • https://www.mathnet.ru/eng/vkam404
  • https://www.mathnet.ru/eng/vkam/v31/i2/p79
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Vestnik KRAUNC. Fiziko-Matematicheskie Nauki Vestnik KRAUNC. Fiziko-Matematicheskie Nauki
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024