Mathematical modeling of individual parameters of the sum of the sizes intervertebral discs of the lumbar spine in juvenile males and males of the first mature age in norm

Abstract

In nowadays, an important area in medicine is the early preclinical identification of the parameters deviations from the norm, where mathematical modeling can help, which should be used to calculate individual linear parameters of internal structures based on external parameters of the body. The aim of the study was to calculate the individual total linear measures of the lumbar intervertebral discs in juniors and men of the first adulthood (17-28 years) in norm. The total size of the each intervertebral discs were calculated a sum of the anterior-posterior diameter, frontal diameter and vertical sizes of each lumbar intervertebral discs, which were measured by MRI. The next step was to calculate the relative proportional nonlinear somato-disc rates (based on body weight and body length) for each individual examined. Mathematical processing of the measured parameters and the relative values of the somato-disc relationships was carried out by the statistical data processing program "STATISTICA 6.1" using parametric methods. The correct distribution of the variational series indicators, mean values and their standard errors were evaluated. Based on relative values the mathematical model was created to obtain individual values of the total size of the lumbar intervertebral discs. Subsequently, we compared the measured total discs sizes of the anteriorposterior, frontal diameters and vertical sizes of the lumbar intervertebral discs with a mathematically calculated value for each lumbar intervertebral discs. The significant difference between the mathematically calculated and measured values of the total intervertebral discs' sizes of the didn't exceed 10%. Determination of the standard linear dimensions of the intervertebral discs of the lumbar spine using CT and MRI and comparison with theoretically calculated indices will make it possible to diagnose early manifestations of the lumbar intervertebral discs pathology.