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Table 2 Displacements (mm) in palate and teeth after activation of the C-RPE and B-RPE appliances (mm)

From: The comparison of biomechanical effects of the conventional and bone-borne palatal expanders on late adolescence with unilateral cleft palate: a 3-dimensional finite element analysis

Region

C-RPE

B-RPE

Cleft side

Non-cleft side

Cleft side

Non-cleft side

Total

X

Y

Z

Total

X

Y

Z

Total

X

Y

Z

Total

X

Y

Z

Anterior palate (A1)

0.1326

0.1236

− 0.0348

− 0.0320

0.1230

− 0.1126

− 0.0150

− 0.0459

0.3174

0.3018

− 0.0674

− 0.0751

0.3036

− 0.2817

− 0.0088

− 0.1032

Middle palate (A2)

0.1000

0.0889

− 0.0275

− 0.0377

0.0926

− 0.0810

− 0.0101

− 0.0404

0.2574

0.2351

− 0.0516

− 0.0868

0.2479

− 0.2309

− 0.0009

− 0.0922

Posterior palate (A3)

0.0912

0.0698

− 0.0277

− 0.0515

0.0742

− 0.0595

− 0.0078

− 0.0401

0.2441

0.2085

− 0.0503

− 0.1206

0.2134

− 0.1960

0.0038

− 0.0906

Cusp tip of 4 (B1)

0.1380

0.1435

− 0.0363

− 0.0157

0.1485

− 0.1368

− 0.0107

− 0.0060

0.3693

0.3583

− 0.0772

− 0.0358

0.3498

− 0.3492

− 0.0066

− 0.0138

Cusp tip of 5 (B2)

0.1299

0.1383

− 0.0255

0.0044

0.1405

− 0.1294

− 0.0076

− 0.0064

0.3508

0.3457

− 0.0630

0.0091

0.3404

− 0.3400

− 0.0054

− 0.0091

Cusp tip of 6 (B3)

0.1260

0.1362

− 0.0289

− 0.0093

0.1403

− 0.1252

− 0.0074

− 0.0103

0.3539

0.3460

− 0.0695

− 0.0232

0.3339

− 0.3324

− 0.0054

− 0.0196

Cusp tip of 7 (B4)

0.1137

0.1145

− 0.0175

0.0063

0.1164

− 0.1137

− 0.0028

0.0028

0.3118

0.3065

− 0.0488

0.0171

0.3118

− 0.3113

0.0009

0.0157

  1. Figure 2 presented the definitions of each landmark. Transverse displacement: (+) cleft expansion (–) non-cleft expansion; Sagittal displacement, (-) forward, (+) backward; Vertical displacement: (+) upward, (–) downward