Probability assessment method for intrapelvic anastomoses of superior gluteal artery in humans

Aim. To develop mathematical models for determining the probability of intrapelvic anastomoses of the superior gluteal artery (SGA) in males and females. Materials and methods. Numerical data for discriminant analysis were obtained as a result of studies on 132 unidentified male (aged 40 to 60 years) and 60 female (aged 35 to 74 years) corpses. The following methods were used: preparation, morphometry, injection of blood vessels, somatotyping, mathematical modeling. Results. The length and diameter of SGA in men and women were found to be statistically significant predictor variables for the linear discriminant function. When assessing the probability of intrapelvic anastomoses of SGA using the proposed mathematical model, its accuracy was found to be 93.8 and 91.7% for men and women, respectively. The assignment of each new case to a group of males with a high or low probability of having intrapelvic anastomoses can be calculated using the following formulas: y 0 = -11.174 + 1.465 x 1 + 5.139 x 2 and y 1 = -31.459 + 4.101 x 1 + 6.436 x 2 , in groups of females – y 0 = -99.896 + 1.821 x 1 + 2.964 x 2 and y 1 = -103.737 + 3.685 x 1 + 3.493 x 2 . Here, x 1 is the SGA diameter for each new case and x 2 is the SGA length for each new case. If y 0 > y 1 , then the man or woman belongs to the group with a low probability of having intrapelvic anastomoses of the SGA. If y 0 < y 1 , then the people belong to a group with a high probability of having similar intrapelvic collaterals. Conclusion. The developed mathematical models can be used to predict the presence or absence of intrapelvic anastomoses of SGA in males and females with sufficiently high accuracy.