Functional Dependence of IM and HV Angle in Hallux Valgus Deformity before and after Operative  

作　　者：Nenad Stojanović Mirko Sovilj Vesna Ivanišević Nenad Stojanović;Mirko Sovilj;Vesna Ivanišević(Department of Mathematics, Faculty of Philosophy, University of Banja Luka, Banja Luka, Bosnia and Herzegovina;Higher Medical School, Prijedor, Bosnia and Herzegovina;Faculty of Medicine, University of Banja Luka, Banja Luka, Bosnia and Hercegovina)

机构地区：[1]Department of Mathematics, Faculty of Philosophy, University of Banja Luka, Banja Luka, Bosnia and Herzegovina [2]Higher Medical School, Prijedor, Bosnia and Herzegovina [3]Faculty of Medicine, University of Banja Luka, Banja Luka, Bosnia and Hercegovina

出　　处：《Journal of Applied Mathematics and Physics》2024年第5期1626-1646,共21页应用数学与应用物理（英文）

摘　　要：Hallux valgus is a relatively common and multifaceted complex deformity of the front part of the foot. It is the result of multiple effects of innate (endogenous) and exogenous etiological factors with different degrees of influence. The degree of hallux valgus deformity is usually assessed by radiological values of hallux valgus (HV) and intermetatarsal (IM) angles. The aim of the paper is to justify the definition of hallux valgus deformity as a function of one angle, (HVA or IMA), and then to determine the functional connection and the most suitable function equalizing the values of the angles IMA and HVA. As hallux valgus is a double angulation deformity, the analytically determined connection between the HVA and IMA angles reduces the study of the deformity to the study of function with one argument, and makes the analysis of deformity changes before and after operative treatment simpler. For the determined connections between the angles, the values of linear proportionality coefficients and regression coefficients of corresponding linear functions of analytical equalization of the value of the IM angle and the degree of deformity for a given value of the HV angle were experimentally determined. The obtained results were checked on a sample of 396 operatively treated hallux valgus deformities. The presented analytical approach and the obtained functional links of IMA and HVA enable quantitative observation of the change in the degree of deformity based on the radiologically determined value of these angles, and the established nonlinear function will be useful for evaluating the expected value of the IM angle and the degree of deformity based only on the measured value of the HV angle. .Hallux valgus is a relatively common and multifaceted complex deformity of the front part of the foot. It is the result of multiple effects of innate (endogenous) and exogenous etiological factors with different degrees of influence. The degree of hallux valgus deformity is usually assessed by radiological values of hallux valgus (HV) and intermetatarsal (IM) angles. The aim of the paper is to justify the definition of hallux valgus deformity as a function of one angle, (HVA or IMA), and then to determine the functional connection and the most suitable function equalizing the values of the angles IMA and HVA. As hallux valgus is a double angulation deformity, the analytically determined connection between the HVA and IMA angles reduces the study of the deformity to the study of function with one argument, and makes the analysis of deformity changes before and after operative treatment simpler. For the determined connections between the angles, the values of linear proportionality coefficients and regression coefficients of corresponding linear functions of analytical equalization of the value of the IM angle and the degree of deformity for a given value of the HV angle were experimentally determined. The obtained results were checked on a sample of 396 operatively treated hallux valgus deformities. The presented analytical approach and the obtained functional links of IMA and HVA enable quantitative observation of the change in the degree of deformity based on the radiologically determined value of these angles, and the established nonlinear function will be useful for evaluating the expected value of the IM angle and the degree of deformity based only on the measured value of the HV angle. .

关 键 词：Functional Connection of Deformity Angles Analytical Equalization of IM Angle Values Hallux Valgus Intermetatarsal Angle Correction of Deformity 

分 类 号：R60[医药卫生—外科学]