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. 2025 Jan 27;26:87. doi: 10.1186/s12891-025-08338-z

Table 2.

Development and performance characteristics of prediction models

Study Predictive factors Development
methodology
Gender Age (Years) Sample size Validation
Methodology
Model presentation
Modeling
(Positive
Events)
Validation
(Positive
Events)
Li 2021 [22] 4 factors: Intravertebral vacuum cleft, posterior fascia oedema, paraspinal muscle degeneration, and bone cement distribution Logistic regression

Male: 53 patients

Female: 215 patients

 < 60: 14 patients

60∼70 years: 100 patients

70∼80 years: 108 patients

 > 80 years: 46 patients

268 (37) – Internal validation with 1000 bootstrap samples Nomogram
Lin 2023 [23]

4 factors: Preoperative bone mineral density, thoracolumbar fascia injury,

facet joint injury, and incomplete cementing of the fracture line

Logistic regression

Male: 69 patients

Female: 338 patients

Training set: 74.00 (Mean)

Validation set: 74.50 (Mean)

281 (47) 162 (22)

Internal validation with 1000 bootstrap samples;

External validation

Nomogram
Liu 2022 [24] 3 factors: fracture segment, the number of surgical vertebrae, and smoking Logistic regression

Male: 49 patients

Female: 247 patients

208 (64) 88 (19)

Internal validation (Random split

Validation: 7:3)

Nomogram
Tu 2024 [25] 5 factors: Posterior fascia oedema, intravertebral vacuum cleft, time from fracture to surgery, sarcopenia, and interspinous ligament degeneration Logistic regression

Male: 46 patients

Female: 221 patients

Training set: 71.5 (Mean)

Validation set: 71.0 (Mean)

186 81

Internal validation (Random split

Validation: 7:3)

Nomogram
Yu 2023 [26] 5 factors: Depression, intravertebral vacuum cleft, no anti-osteoporosis treatment, cement volume, and bone cement distribution Logistic regression

Male: 43 patients

Female: 193 patients

Training set:

 ≤ 75: 157 patients

 > 75: 49 patients

Validation set:

 ≤ 75: 20 patients

 > 75: 10 patients

236 (30) – Internal validation with 1000 bootstrap samples Nomogram
Cheng 2023 [27] 4 factors: Intravertebral vacuum cleft, posterior fascia oedema, paravertebral muscle degeneration, and bone cement distribution Logistic regression

Male: 178 patients

Female: 124 patients

No residual pain group:

68.5 ± 6.3 (Mean ± SD)

Residual pain group:

70.2 ± 7.4 (Mean ± SD)

302 (43) – – Nomogram
Liao 2023 [28] 4 factors: Intravertebral vacuum cleft, thoracolumbar fascia injury, bone mineral density, and incomplete cementing of the fracture line Logistic regression

Male: 48 patients

Female: 66 patients

No residual pain group:

64.95 ± 4.27 (Mean ± SD)

Residual pain group:

65.76 ± 4.32 (Mean ± SD)

114 (41) – Internal validation with bootstrap samples Nomogram
Lin 2022 [29] 5 factors: Thoracolumbar fascia injury, bone mineral density, minor joint injury, lumbar disc herniation, and incomplete cementing of the fracture line Logistic regression

Male: 52 patients

Female: 325 patients

No residual pain group:

75.00 (Mean)

Residual pain group:

74.00 (Mean)

377 (64) – Internal validation with 200 bootstrap samples Nomogram
Qiu 2023 [30] 8 factors: Age, bone mineral density, educational level, smoking, psychological disorders, ASA grading, amount of bone cement injected, and bone cement leakage Logistic regression

Male: 62 patients

Female: 74 patients

No residual pain group:

63.85 ± 1.71 (Mean ± SD)

Residual pain group:

66.17 ± 2.56 (Mean ± SD)

136 (58) – – Nomogram
Tian 2023 [31] 7 factors: Previous history of low back injury, fracture severity, cortical rupture, percentage of bone cement vertebral body, recovery of anterior edge height of vertebral body, bone cement leakage, and bone cement distribution Logistic regression

Male: 94 patients

Female: 134 patients

No residual pain group:

66.17 ± 10.74 (Mean ± SD)

Residual pain group:

65.45 ± 11.29 (Mean ± SD)

228 (35) – Internal validation with 1000 bootstrap samples Nomogram
Wu 2023 [32] 4 factors: intervertebral foramen reduction rate (%), fracture severity, thoracolumbar intervertebral injury, and fracture type Logistic regression Training set: 51 male and 206 female

Training set: 1) no residual pain group:

72.64 ± 12.38 (Mean ± SD);

2) residual pain group: 73.71 ± 11.59 (Mean ± SD)

Validation set: –

257 (48) 85 (17)

Internal validation (Random split

Validation: 3:1)

Nomogram
Ge 2022 [33] 4 factors: Bone mineral density, intravertebral cleft, thoracolumbar fascia injury, and radiomics score Logistic regression – All patients > 55 years 548 (59) 183 (22)

Internal validation (Random split

Validation: 3:1)

Nomogram
Deng 2023 [34] 5 factors: Diabetes, preoperative T value, number of fractured vertebrae, lumbar compression rate, and bone cement leakage Logistic regression

Male: 238 patients

Female: 338 patients

 < 60: 165 patients

 ≥ 60: 391 patients

556 (–) 236 (–)

Internal validation (Random split

Validation: 7:3)

Nomogram
Xu 2024 [35] 7 factors: Age, bone mineral density, smoking, ASA grading, thoracolumbar fascia injury, amount of bone cement injected, and bone cement leakage Logistic regression

Male: 61 patients

Female: 75 patients

No residual pain group: 62.63 ± 5.71 (Mean ± SD)

Residual pain group: 67.79 ± 7.56 (Mean ± SD)

136 (58) – – Nomogram
Zhou 2024 [36] 6 factors: Thoracolumbar fascia injury, bone mineral density, bone cement distribution, short term complications, implementing early rehabilitation interventions, and compliance with rehabilitation interventions Logistic regression

Male: 29 patients

Female: 141 patients

No residual pain group: 68.20 ± 6.86 (Mean ± SD)

Residual pain group: 72.75 ± 7.85 (Mean ± SD)

170 (85) – – Formula

SD Standard Deviation