第二磨牙在不同情况下对改良C型腭板远中移动上颌磨牙的影响——三维有限元分析

doi:10.13591/j.cnki.kqyx.2023.09.008

摘要/Abstract

摘要：

目的利用三维有限元分析的方法探究第二磨牙在不同情况下对使用改良C型腭板(MCPP)远中移动上颌磨牙的影响及生物力学机制。方法建立三组MCPP远中移动上颌磨牙的三维有限元模型,模型一(M1):第二磨牙萌出,粘接颊面管且弓丝入槽;模型二(M2):第二磨牙萌出,不粘接颊面管;模型三(M3):第二磨牙未萌出。在M1中分别在距离牙槽嵴顶1 mm(F1)、4 mm(F4)、7 mm(F7)三种高度的MCPP牵引凹槽与腭弓牵引钩之间施加1.5 N的牵引力,找出使第一磨牙远中整体移动的牵引力方向,然后在M2与M3上施加相同的牵引力,观察牙齿的移动。结果 M1中第一磨牙均出现远中移动,其中M1-F4组中第一磨牙远中整体移动。M2与M1相比,第一磨牙远中位移量稍增大,但有更加明显的颊向位移和近中舌向旋转,第二磨牙远中倾斜程度更加明显,牙冠颊向位移减小且呈近中颊向旋转。M2和M3中第一磨牙的移动基本一致。结论将第二磨牙纳入弓丝,能减少第一磨牙颊向位移量与旋转程度。第二磨牙的萌出对第一磨牙横向移动无明显影响。

关键词: 三维有限元分析, 改良C型腭板, 第二磨牙, 生物力学机制

Abstract:

Objective To investigate the effect of different conditions of the second molar on maxillary molardistalization through Modified C Palatal Plate(MCPP)and its biomechanical mechanism using three-dimensional finite element analysis. Methods Three groups of three-dimensional FE models of maxillary molardistalization with MCPP were established. Model 1(M1): The second molar erupted, with the archwire inserted into the buccal tube;Model 2(M2): The second molar erupted without buccal tube;Model 3(M3): The second molar did not erupt. In M1, 1.5 N traction forces were applied between the MCPP notches which were 1 mm(F1), 4 mm(F4), and 7 mm(F7)above the alveolar crest ridge and the palatal arch hooks respectively to find out the force direction that could distally move the first molar bodily. Then the same force was applied on M2 and M3 to observe the movement of tooth. Results The first molar moved distally in M1 and had a bodily movement in the M1-F4. Compared with M1, the distal displacement of the first molar slightly increased in M2, but there was more significant buccal displacement and mesial-in rotation. The second molar had more distal inclination, less buccal movement and mesial-out rotation of the crown. The first molar movement in M2 was similar with M3. Conclusion Bringing the second molar into archwire will decrease the buccal displacement and rotation of the first molar. The eruption of the second molar has no significant effect on the lateral movement of the first molar.

Key words: three dimensional finite element analysis, modified C-palatal plate, second molar, biomechanical mechanism

中图分类号:

R783.5

蒋镇泽, 邹明媛, 弓国梁, 林新平. 第二磨牙在不同情况下对改良C型腭板远中移动上颌磨牙的影响——三维有限元分析[J]. 口腔医学, 2023, 43(9): 808-813.

JIANG Zhenze, ZOU Mingyuan, GONG Guoliang, LIN Xinping. The effect of different conditions of the second molar on maxillary molar distalization using Modified C Palatal Plate——A 3-dimensional finite analysis[J]. Stomatology, 2023, 43(9): 808-813.

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参考文献 21

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力学参数	杨氏模量/MPa	泊松比
上颌骨	2×10³	0.30
牙齿	2×10⁴	0.30
不锈钢弓丝、腭弓	2×10⁵	0.30
托槽	2×10⁵	0.30
牙周膜	2×10^-1	0.40

测量项目	方向	M1-F1	M1-F4	M1-F7	M2-F4	M3-F4
1C	X	0.159	0.213	0.294	0.230	0.221
	Y	-3.433	-2.427	-1.249	-1.968	-2.181
	Z	-1.969	-1.193	-0.254	-0.853	-1.019
1A	X	0.399	0.387	0.376	0.382	0.384
	Y	0.498	0.005	-0.527	-0.188	-0.088
	Z	0.763	0.500	0.251	0.389	0.440
6MBC	X	1.938	1.276	0.609	1.998	2.054
	Y	-2.769	-1.686	-0.494	-1.311	-1.510
	Z	-0.211	0.374	0.834	0.549	0.528
6DBC	X	3.022	2.230	1.442	3.338	3.420
	Y	-2.873	-1.776	-0.570	-1.437	-1.639
	Z	0.519	0.326	0.077	0.427	0.497
6PC	X	2.307	1.618	0.926	2.473	2.537
	Y	-4.023	-2.825	-1.526	-2.913	-3.137
	Z	-1.071	-0.244	0.432	-0.487	-0.510
6PA	X	-0.065	0.499	0.934	0.548	0.532
	Y	-1.711	-2.791	-3.563	-2.986	-2.949
	Z	-0.779	-0.233	0.184	-0.483	-0.475
7MBC	X	5.037	4.321	3.576	1.831
	Y	-2.295	-1.617	-0.775	-3.627
	Z	1.121	0.763	0.358	-0.042
7DBC	X	5.412	4.759	4.086	1.609
	Y	-2.319	-1.657	-0.835	-3.530
	Z	1.678	1.190	0.618	1.132
7PC	X	5.258	4.558	3.831	1.759
	Y	-2.927	-2.307	-1.533	-3.394
	Z	-0.838	-0.872	-0.946	-0.323
7PA	X	-0.761	-0.384	0.031	-0.472
	Y	-0.126	-0.124	-0.108	1.084
	Z	-0.812	-0.858	-0.955	-0.032

测量对象	计算公式	M1-F1	M1-F4	M1-F7	M2-F4	M3-F4
OP平面	6MBCZ-1CZ^a	0.018	0.016	0.011	0.014	0.016
第一磨牙	6DBCX-6MBCX^b	0.011	0.010	0.008	0.013	0.014
	6PCX/6PAX^c	-35.256	3.245	0.991	4.512	4.771
	6PCY/6PAY^d	2.351	1.012	0.428	0.976	1.064
第二磨牙	7DBCX-7MBCX^e	0.004	0.004	0.005	-0.002
	7PCX/7PAX^f	-41.575	-36.732	-35.372	1.623
	7PCY/7PAY^g	23.142	18.589	14.153	-3.132