摘要
背景:随着口腔正畸学成像、模型观测等检查手段数字化程度的提高,越来越多的学者将数学方法应用于正畸学的研究中。目的:分析功能矫治前后,软硬组织间的关系是否发生改变,并建立相应的数学模型。方法:选用恒牙早期安氏Ⅱ类1分类患者67例,其中接受功能矫治的患者40例,放弃功能矫治的患者27例。分别在治疗和观察前、后拍摄头颅侧位片。头影测量分析功能矫治前后侧位片软硬组织的变化,数学方法分析评价Ⅱ类错功能矫治疗效的4项主要指标[硬组织上下颌骨前后向不调指数(APDI)、软组织上唇突点距审美平面的距离(Ls-EP)、上切牙相对于上颌骨的线距U1-NA(mm)和角度(U1-NA)]。最初使用线性方程分析软硬组织在功能矫治前后的数据。当线性方程无意义时,使用曲线拟合。结果与结论:结果发现4项主要指标代表的软硬组织间确实存在曲线关系。治疗前曲线拟合的二次方程为:U1-NA(mm)=-0.0127(APDI)2+1.7052(APDI)-0.6861,U1-NA=-0.0255(APDI)2+3.2343(APDI)-67.8318,Ls-EP=-0.0037(APDI)2+0.3802(APDI)-3.2673。治疗后的曲线拟合方程:U1-NA(mm)=-0.0031(APDI)2+0.4958(APDI)-14.2484,U1-NA=0.0132(APDI)2-1.9939(APDI)+98.1045,Ls-EP=0.0074(APDI)2-1.2647(APDI)+55.4124。结果提示功能矫治使颅面部软硬组织关系发生明显改变,并使软组织侧貌发生明显改善。
BACKGROUND:With development of the digitization in cephalometry and model,increasing mathematical methods are applied in studies of orthodontics.
OBJECTIVE:To investigate whether the relationship between soft-and hard-tissue changed before and after the functional treatment and to build up mathematical models.
METHODS:A total of 67 early permanent dentition Class II Division 1 malocclusion patients were selected,including 40 with functional treatment and 27 with no functional treatment.They were examined cephalometrially before and after treatment.Mathematical methods were used to evaluate effect of treatment,including 4 items,APDI,Ls-EP,U1-NA(mm)and U1-NA.To evaluate the relationship between soft-and hard-tissue movements,a linear function was initially fitted to the data.A quadratic function was fitted to the data when the linear term was not significant.
RESULTS AND CONCLUSION:Mathematical models confirmed that the association for the soft and hard tissues was quadratic,by using curve-fitting polynomial approach to the cephalometric data of 4 indicators before and after the functional treatment.The pre-treatment functional formula were:U1–NAmm =-0.012 7(APDI)^2 +1.705 2(APDI)-0.686 1;U1–NA =-0.025 5(APDI)^2 +3.234 3(APDI)-67.831 8;Ls–EP =-0.003 7(APDI)^2 +0.380 2(APDI)-3.267 3.The post-treatment functional formula were:U1–NAmm =-0.003 1(APDI)^2 +0.495 8(APDI)-14.248 4;U1–NA =0.01 32(APDI)^2-1.993 9(APDI)+98.104 5;Ls–EP =0.007 4(APDI)^2-1.264 7(APDI)+ 55.412 4.The results showed obvious changed in the relationship between soft-to hard-tissue pre-and post the functional treatment.The functional treatment effectively improved the profile of soft-tissues of Class II malocclusion cases.
出处
《中国组织工程研究与临床康复》
CAS
CSCD
北大核心
2010年第13期2315-2318,共4页
Journal of Clinical Rehabilitative Tissue Engineering Research