MATHEMATICAL SUBSTANTIATION OF THE USE OF DIFFERENT TYPES OF CLAMMERS DURING THE RESTORATION OF THE DENTITION WITH DOUBLE-SIDED DISTAL DEFECTS AND THE DEFECT INCLUDED IN THE FRONTAL AREA BY REMOVABLE PROSTHETICS

R. Kozak, D. Korol, Руслан Васильович Козак, Дмитро Михайлович Король
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Abstract

The basic conditions that ensure good functional qualities and durability of prosthetic structures from the point of view of biomechanics, undoubtedly include an optimal way of fixing a partial removable prosthesis, which consists in the correct choice of the clamping system that ensures reliable fixation of the prosthesis in the given position and at the same time causing a minimum of harm supporting teeth, as well as the most rational distribution of occlusal loads transmitted to the supporting tissues, since it is these factors that determine the durability functioning dentures. The purpose of biomechanical studies is to analyze the stress-strain state of the supporting teeth of partial removable prostheses replacing the included and terminal defects of the dentition when fixing the prosthesis on the supporting teeth with the help of holding and supporting-retaining clamps. The studies were performed on a model of the mandible with overall dimensions of the cross section corresponding to some average dimensions. The first volumetric finite element model was developed to study the stress-strain state of periodontal ligaments of supporting teeth and supporting gingival tissues when the incomplete and bilaterial end defects of the dentition were replaced (1 class 1 subclass by Kennedy) of the mandible by a removable denture with fixation by retaining clamps on the canines and the first premolars. The second volumetric finite element model is designed to study the stress-strain state of periodontal ligaments of supporting teeth and supporting gum tissues when the included and two-sided end defects of the dentition of the lower jaw are replaced by a removable clasp prosthesis with fixation of support-retaining clamps on canines and first premolars with support arms of clamps from the distal sides of premolars. As a result of the studies performed, the following conclusions can be drawn: In both considered variants fixation of removable clasp prostheses loaded with maximum values of equivalent stresses in the periodontium of the supporting teeth is localized at the apex of the alveolar ridge, which indicates the transfer of the "clutching" supporting teeth of the clasp prosthesis. The maximum values f equivalent stresses in the periodontitis of the supporting teeth during fixation of the removable clasp prosthesis by the support-retaining clamps on the canines and the first premolars exceed the corresponding values of the equivalent stresses for the case of fixing the prosthesis with retention clamps by 30-140%! With an increase in gum compliance, the values of equivalent stresses in the periodontitis of the supporting teeth during fixation of the removable clasp prosthesis by the retaining clasps vary insignificantly within 25%, and an increase in the corresponding equivalent stresses with the use of support-holding clasps may be 65%. In order to ensure the maximum sparing regimen of periodontal tissues of supporting teeth and as a result - the possibility of the most prolonged use of the prosthesis without loosening of the supporting teeth, it seems more expedient to give preference to the use of clasp prostheses with the fixation of the retaining clasps.
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用可移除修复术修复双侧远端缺损和额区缺损的牙列过程中使用不同类型夹具的数学证明
从生物力学的角度确保假体结构的良好功能质量和耐用性的基本条件无疑包括固定部分可移除假体的最佳方式,这包括正确选择夹紧系统,以确保将假牙可靠地固定在给定位置,同时对支撑牙齿造成最小的伤害,以及传递到支撑组织的咬合载荷的最合理分布,因为正是这些因素决定了假牙的耐用性。生物力学研究的目的是分析替代牙列内含缺陷和末端缺陷的部分可移除修复体在使用固定夹和支撑夹将修复体固定在支撑齿上时支撑齿的应力-应变状态。这些研究是在下颌骨模型上进行的,其横截面的总体尺寸对应于一些平均尺寸。开发了第一个体积有限元模型,以研究当用可移动义齿替换下颌齿列的不完整和双材料末端缺陷(Kennedy称为1类1亚类)时,支撑牙齿和支撑牙龈组织的牙周韧带的应力-应变状态,该可移动义齿通过固定夹固定在犬齿和第一前磨牙上。设计了第二个体积有限元模型,以研究当下颌齿列的内含和双侧端部缺陷被可拆卸的卡环假体取代时,支撑牙齿和支撑牙龈组织的牙周韧带的应力-应变状态,该假体将支撑夹固定在犬齿和第一前磨牙上,并从远端使用夹具的支撑臂前臼齿两侧。根据所进行的研究,可以得出以下结论:在两种所考虑的变体中,在支撑牙齿的牙周组织中,承受最大等效应力的可拆卸卡环假体的固定定位在牙槽嵴的顶端,这表明卡环假体“离合”支撑牙齿的转移。在通过犬齿和第一前磨牙上的支撑保持夹固定可移除卡环假体的过程中,支撑牙齿牙周炎中的等效应力的最大值超过了通过保持夹固定假体的情况下的相应等效应力值30-140%!随着牙龈顺应性的增加,在通过保持卡环固定可移除卡环假体的过程中,支撑牙齿的牙周炎中的等效应力值在25%内变化不大,并且使用支撑-保持卡环的相应等效应力的增加可能为65%。为了确保最大限度地保留支撑牙齿的牙周组织,并因此确保在不松动支撑牙齿的情况下最长时间使用假体的可能性,似乎更有利的是优先使用带固定卡环的卡环假体。
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