
Tianjin Medical Journal ›› 2026, Vol. 54 ›› Issue (1): 57-63.doi: 10.11958/20252221
• Clinical Research • Previous Articles Next Articles
CHEN Min1(
), XIA Li1, ZHU Rongyuan1, WANG Xinyu1, JI Jun2
Received:2025-06-06
Revised:2025-09-10
Published:2026-01-15
Online:2026-01-19
CHEN Min, XIA Li, ZHU Rongyuan, WANG Xinyu, JI Jun. Risk factors and prediction model construction of gingival invagination after orthodontic treatment of extracted first premolar teeth[J]. Tianjin Medical Journal, 2026, 54(1): 57-63.
CLC Number:
| 组别 | n | 拔牙位置 | 安氏错??分类 | |||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 右上颌 | 左上颌 | 右下颌 | 左下颌 | Ⅰ类错?? | Ⅱ类错?? | Ⅲ类错?? | ||||||||||||||||||
| 建模组 | 692 | 221(31.9) | 223(32.2) | 127(18.4) | 121(17.5) | 434(62.7) | 196(28.3) | 62(9.0) | ||||||||||||||||
| 内部验证组 | 198 | 66(33.3) | 65(32.8) | 35(17.7) | 32(16.2) | 128(64.6) | 54(27.3) | 16(8.1) | ||||||||||||||||
| 外部验证组 | 502 | 167(33.3) | 160(31.9) | 89(17.7) | 86(17.1) | 327(65.1) | 130(25.9) | 45(9.0) | ||||||||||||||||
| χ2 | 0.472 | 1.067 | ||||||||||||||||||||||
| 组别 | 垂直骨面型分类 | 牙齿拥挤程度 | ||||||||||||||||||||||
| 正常 | 低角型 | 高角型 | 轻度 | 中度 | 重度 | |||||||||||||||||||
| 建模组 | 344(49.7) | 173(25.0) | 175(25.3) | 280(40.5) | 215(31.1) | 197(28.5) | ||||||||||||||||||
| 内部验证组 | 96(48.5) | 51(25.8) | 51(25.8) | 83(41.9) | 60(30.3) | 55(27.8) | ||||||||||||||||||
| 外部验证组 | 248(49.4) | 126(25.1) | 128(25.5) | 209(41.6) | 144(28.7) | 149(29.7) | ||||||||||||||||||
| χ2 | 0.097 | 0.922 | ||||||||||||||||||||||
| 组别 | 正畸治疗开始时间 | 牙龈生物型 | ||||||||||||||||||||||
| 拔牙后<2周 | 拔牙后2~4周 | 拔牙后>4周 | 厚龈生物型 | 中厚龈生物型 | 薄龈生物型 | |||||||||||||||||||
| 建模组 | 302(43.7) | 196(28.3) | 194(28.0) | 174(25.1) | 212(30.6) | 306(44.2) | ||||||||||||||||||
| 内部验证组 | 88(44.4) | 57(28.8) | 53(26.8) | 47(23.7) | 63(31.8) | 88(44.4) | ||||||||||||||||||
| 外部验证组 | 215(42.8) | 144(28.7) | 143(28.5) | 112(22.3) | 159(31.7) | 231(46.0) | ||||||||||||||||||
| χ2 | 0.264 | 1.330 | ||||||||||||||||||||||
| 组别 | 矫治器类型 | 单牙正畸力 | 骨密度/HU | 颊牙槽嵴顶至 CEJ的高度/mm | ||||||||||||||||||||
| 无托槽隐形 矫治器 | 固定矫治器 | <50 g | 50~100 g | >100 g | ||||||||||||||||||||
| 建模组 | 109(15.8) | 583(84.2) | 145(21.0) | 277(40.0) | 270(39.0) | 533.89±169.82 | 1.80±0.83 | |||||||||||||||||
| 内部验证组 | 29(14.6) | 169(85.4) | 41(20.7) | 80(40.4) | 77(38.9) | 527.58±174.92 | 1.83±0.81 | |||||||||||||||||
| 外部验证组 | 69(13.7) | 433(86.3) | 94(18.7) | 211(42.0) | 197(39.2) | 534.11±168.31 | 1.85±0.76 | |||||||||||||||||
| χ2或F | 0.934 | 1.060 | 0.121 | 0.586 | ||||||||||||||||||||
| 组别 | 距CEJ根尖 4 mm处的颊骨厚度/mm | 牙根中段的 颊骨厚度/mm | 根尖位置的 颊骨厚度/mm | 距CEJ根尖4 mm处的 舌骨厚度/mm | 牙根中段的 舌骨厚度/mm | 根尖位置的 舌骨厚度/mm | ||||||||||||||||||
| 建模组 | 1.05±0.45 | 1.01±0.40 | 1.22±0.25 | 1.13±0.31 | 1.26±0.15 | 1.23±0.12 | ||||||||||||||||||
| 内部验证组 | 1.07±0.44 | 0.96±0.40 | 1.22±0.25 | 1.16±0.31 | 1.27±0.14 | 1.23±0.12 | ||||||||||||||||||
| 外部验证组 | 1.08±0.43 | 1.02±0.40 | 1.21±0.23 | 1.14±0.32 | 1.27±0.15 | 1.23±0.11 | ||||||||||||||||||
| F | 0.574 | 1.473 | 0.236 | 0.539 | 1.327 | 0.092 | ||||||||||||||||||
| 组别 | PLI | BI | ||||||||||||||||||||||
| 正畸治疗前 | 正畸治疗3个月 | 正畸治疗6个月 | 正畸治疗前 | 正畸治疗3个月 | 正畸治疗6个月 | |||||||||||||||||||
| 建模组 | 2.46±0.64 | 2.18±0.59 | 1.80±0.46 | 0.99±0.12 | 1.00±0.11 | 1.00±0.11 | ||||||||||||||||||
| 内部验证组 | 2.48±0.68 | 2.15±0.59 | 1.84±0.49 | 0.99±0.07 | 0.99±0.12 | 1.01±0.07 | ||||||||||||||||||
| 外部验证组 | 2.48±0.66 | 2.19±0.59 | 1.82±0.48 | 0.99±0.14 | 1.00±0.13 | 1.01±0.10 | ||||||||||||||||||
| F | 0.190 | 0.288 | 0.631 | 0.097 | 0.486 | 1.988 | ||||||||||||||||||
Tab.1 Comparison of clinical data between the modeling group and the validation group
| 组别 | n | 拔牙位置 | 安氏错??分类 | |||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 右上颌 | 左上颌 | 右下颌 | 左下颌 | Ⅰ类错?? | Ⅱ类错?? | Ⅲ类错?? | ||||||||||||||||||
| 建模组 | 692 | 221(31.9) | 223(32.2) | 127(18.4) | 121(17.5) | 434(62.7) | 196(28.3) | 62(9.0) | ||||||||||||||||
| 内部验证组 | 198 | 66(33.3) | 65(32.8) | 35(17.7) | 32(16.2) | 128(64.6) | 54(27.3) | 16(8.1) | ||||||||||||||||
| 外部验证组 | 502 | 167(33.3) | 160(31.9) | 89(17.7) | 86(17.1) | 327(65.1) | 130(25.9) | 45(9.0) | ||||||||||||||||
| χ2 | 0.472 | 1.067 | ||||||||||||||||||||||
| 组别 | 垂直骨面型分类 | 牙齿拥挤程度 | ||||||||||||||||||||||
| 正常 | 低角型 | 高角型 | 轻度 | 中度 | 重度 | |||||||||||||||||||
| 建模组 | 344(49.7) | 173(25.0) | 175(25.3) | 280(40.5) | 215(31.1) | 197(28.5) | ||||||||||||||||||
| 内部验证组 | 96(48.5) | 51(25.8) | 51(25.8) | 83(41.9) | 60(30.3) | 55(27.8) | ||||||||||||||||||
| 外部验证组 | 248(49.4) | 126(25.1) | 128(25.5) | 209(41.6) | 144(28.7) | 149(29.7) | ||||||||||||||||||
| χ2 | 0.097 | 0.922 | ||||||||||||||||||||||
| 组别 | 正畸治疗开始时间 | 牙龈生物型 | ||||||||||||||||||||||
| 拔牙后<2周 | 拔牙后2~4周 | 拔牙后>4周 | 厚龈生物型 | 中厚龈生物型 | 薄龈生物型 | |||||||||||||||||||
| 建模组 | 302(43.7) | 196(28.3) | 194(28.0) | 174(25.1) | 212(30.6) | 306(44.2) | ||||||||||||||||||
| 内部验证组 | 88(44.4) | 57(28.8) | 53(26.8) | 47(23.7) | 63(31.8) | 88(44.4) | ||||||||||||||||||
| 外部验证组 | 215(42.8) | 144(28.7) | 143(28.5) | 112(22.3) | 159(31.7) | 231(46.0) | ||||||||||||||||||
| χ2 | 0.264 | 1.330 | ||||||||||||||||||||||
| 组别 | 矫治器类型 | 单牙正畸力 | 骨密度/HU | 颊牙槽嵴顶至 CEJ的高度/mm | ||||||||||||||||||||
| 无托槽隐形 矫治器 | 固定矫治器 | <50 g | 50~100 g | >100 g | ||||||||||||||||||||
| 建模组 | 109(15.8) | 583(84.2) | 145(21.0) | 277(40.0) | 270(39.0) | 533.89±169.82 | 1.80±0.83 | |||||||||||||||||
| 内部验证组 | 29(14.6) | 169(85.4) | 41(20.7) | 80(40.4) | 77(38.9) | 527.58±174.92 | 1.83±0.81 | |||||||||||||||||
| 外部验证组 | 69(13.7) | 433(86.3) | 94(18.7) | 211(42.0) | 197(39.2) | 534.11±168.31 | 1.85±0.76 | |||||||||||||||||
| χ2或F | 0.934 | 1.060 | 0.121 | 0.586 | ||||||||||||||||||||
| 组别 | 距CEJ根尖 4 mm处的颊骨厚度/mm | 牙根中段的 颊骨厚度/mm | 根尖位置的 颊骨厚度/mm | 距CEJ根尖4 mm处的 舌骨厚度/mm | 牙根中段的 舌骨厚度/mm | 根尖位置的 舌骨厚度/mm | ||||||||||||||||||
| 建模组 | 1.05±0.45 | 1.01±0.40 | 1.22±0.25 | 1.13±0.31 | 1.26±0.15 | 1.23±0.12 | ||||||||||||||||||
| 内部验证组 | 1.07±0.44 | 0.96±0.40 | 1.22±0.25 | 1.16±0.31 | 1.27±0.14 | 1.23±0.12 | ||||||||||||||||||
| 外部验证组 | 1.08±0.43 | 1.02±0.40 | 1.21±0.23 | 1.14±0.32 | 1.27±0.15 | 1.23±0.11 | ||||||||||||||||||
| F | 0.574 | 1.473 | 0.236 | 0.539 | 1.327 | 0.092 | ||||||||||||||||||
| 组别 | PLI | BI | ||||||||||||||||||||||
| 正畸治疗前 | 正畸治疗3个月 | 正畸治疗6个月 | 正畸治疗前 | 正畸治疗3个月 | 正畸治疗6个月 | |||||||||||||||||||
| 建模组 | 2.46±0.64 | 2.18±0.59 | 1.80±0.46 | 0.99±0.12 | 1.00±0.11 | 1.00±0.11 | ||||||||||||||||||
| 内部验证组 | 2.48±0.68 | 2.15±0.59 | 1.84±0.49 | 0.99±0.07 | 0.99±0.12 | 1.01±0.07 | ||||||||||||||||||
| 外部验证组 | 2.48±0.66 | 2.19±0.59 | 1.82±0.48 | 0.99±0.14 | 1.00±0.13 | 1.01±0.10 | ||||||||||||||||||
| F | 0.190 | 0.288 | 0.631 | 0.097 | 0.486 | 1.988 | ||||||||||||||||||
| 变量 | β | SE | Wald χ2 | P | OR(95%CI) | VIF |
|---|---|---|---|---|---|---|
| 性别 | 0.320 | 0.224 | 2.044 | 0.153 | 1.377(0.888~2.134) | 1.010 |
| 拔牙位置 | 1.128 | 0.770 | 1.012 | |||
| 左上颌 | 0.002 | 0.237 | 0.000 | 0.992 | 1.002(0.630~1.593) | |
| 右下颌 | -0.214 | 0.279 | 0.591 | 0.442 | 0.807(0.468~1.394) | |
| 左下颌 | -0.200 | 0.281 | 0.508 | 0.476 | 0.819(0.472~1.420) | |
| 牙齿拥挤的严重程度 | 1.841 | 0.398 | 1.007 | |||
| 中度 | 0.027 | 0.224 | 0.015 | 0.904 | 1.027(0.663~1.593) | |
| 重度 | 0.297 | 0.232 | 1.643 | 0.200 | 1.346(0.855~2.118) | |
| 正畸治疗开始时间 | 42.836 | <0.001 | 1.010 | |||
| 拔牙后2~4周 | 0.625 | 0.218 | 8.211 | 0.004 | 1.868(1.218~2.864) | |
| 拔牙后>4周 | 1.618 | 0.249 | 42.376 | <0.001 | 5.042(3.098~8.206) | |
| 牙龈生物型 | 22.979 | <0.001 | 1.008 | |||
| 中厚龈生物型 | 0.387 | 0.244 | 2.531 | 0.112 | 1.473(0.914~2.375) | |
| 薄龈生物型 | 1.101 | 0.238 | 21.400 | <0.001 | 3.007(1.886~4.795) | |
| 骨密度 | 0.001 | 0.001 | 1.315 | 0.252 | 1.001(1.000~1.002) | 1.007 |
| 距CEJ根尖4 mm处的颊骨厚度 | -1.660 | 0.224 | 55.188 | <0.001 | 0.190(0.123~0.295) | 1.013 |
| 牙根中段的颊骨厚度 | -2.143 | 0.264 | 65.730 | <0.001 | 0.117(0.070~0.197) | 1.015 |
| 根尖位置的颊骨厚度 | 0.481 | 0.383 | 1.583 | 0.208 | 1.618(0.765~3.426) | 1.008 |
| 常数项 | 2.163 | 0.733 | 8.705 | 0.003 | 8.696 |
Tab.2 Multivariate analysis of gingival recession after orthodontic treatment of first premolar extraction
| 变量 | β | SE | Wald χ2 | P | OR(95%CI) | VIF |
|---|---|---|---|---|---|---|
| 性别 | 0.320 | 0.224 | 2.044 | 0.153 | 1.377(0.888~2.134) | 1.010 |
| 拔牙位置 | 1.128 | 0.770 | 1.012 | |||
| 左上颌 | 0.002 | 0.237 | 0.000 | 0.992 | 1.002(0.630~1.593) | |
| 右下颌 | -0.214 | 0.279 | 0.591 | 0.442 | 0.807(0.468~1.394) | |
| 左下颌 | -0.200 | 0.281 | 0.508 | 0.476 | 0.819(0.472~1.420) | |
| 牙齿拥挤的严重程度 | 1.841 | 0.398 | 1.007 | |||
| 中度 | 0.027 | 0.224 | 0.015 | 0.904 | 1.027(0.663~1.593) | |
| 重度 | 0.297 | 0.232 | 1.643 | 0.200 | 1.346(0.855~2.118) | |
| 正畸治疗开始时间 | 42.836 | <0.001 | 1.010 | |||
| 拔牙后2~4周 | 0.625 | 0.218 | 8.211 | 0.004 | 1.868(1.218~2.864) | |
| 拔牙后>4周 | 1.618 | 0.249 | 42.376 | <0.001 | 5.042(3.098~8.206) | |
| 牙龈生物型 | 22.979 | <0.001 | 1.008 | |||
| 中厚龈生物型 | 0.387 | 0.244 | 2.531 | 0.112 | 1.473(0.914~2.375) | |
| 薄龈生物型 | 1.101 | 0.238 | 21.400 | <0.001 | 3.007(1.886~4.795) | |
| 骨密度 | 0.001 | 0.001 | 1.315 | 0.252 | 1.001(1.000~1.002) | 1.007 |
| 距CEJ根尖4 mm处的颊骨厚度 | -1.660 | 0.224 | 55.188 | <0.001 | 0.190(0.123~0.295) | 1.013 |
| 牙根中段的颊骨厚度 | -2.143 | 0.264 | 65.730 | <0.001 | 0.117(0.070~0.197) | 1.015 |
| 根尖位置的颊骨厚度 | 0.481 | 0.383 | 1.583 | 0.208 | 1.618(0.765~3.426) | 1.008 |
| 常数项 | 2.163 | 0.733 | 8.705 | 0.003 | 8.696 |
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