Evaluating the predictive value of quantitative parameters: Can bone density and maxillary transverse dimensions serve as reliable indicators of midpalatal suture maturation stages?

Introduction

The primary aim of this study was to establish a correlation between the maturation of the midpalatal suture (MPS), bone density (BD), and transverse dimensions of the maxilla. The secondary goal was to evaluate whether BD or transverse dimensions of the maxilla could serve as quantitative methods for assessing MPS maturation.

Methods

A retrospective observational study was conducted on 114 cone-beam computed tomography (CBCT) records divided into 4 groups according to chronological age: group 1 (10-13 years), group 2 (14-17 years), group 3 (18-21 years), and group 4 (22-25 years). The MPS maturation stage, BD in 5 areas along the MPS, quantified using CBCT with gray values converted to Hounsfield units (HU), and transverse dimensions of the maxilla were assessed. Principal component analysis synthesized BD measurements into a composite gray score, with the first principal component (F1) capturing >90% of the variance. The data were then subjected to statistical analyses.

Results

BD was highest in all regions in stage E and the lowest in stage B. A strong positive correlation was observed between MPS maturation stage, BD, and intermolar width. A weak correlation was observed for the intercanine width. The classification and regression tree analysis showed that a synthetic BD >687.93 HU would be classified as stage E, whereas those with a BD measurement <290.83 HU would be categorized as stage B. Females showed early maturation of the MPS compared with males.

Conclusions

Quantitative assessment of MPS BD, synthesized via principal component analysis from CBCT measurements across 5 regions, and maxillary transverse dimensions reliably indicate MPS maturation stages.

Highlights

  • Bone density is a reliable indicator of midpalatal suture maturation.

  • The transverse dimensions of the maxilla are reliable indicators of midpalatal suture maturation.

  • Females mature earlier than males.

  • Narrower intercanine and intermolar widths are associated with early midpalatal maturation.

  • Lower bone density is associated with early stages of midpalatal maturation.

Rapid palatal expansion (RPE) is a widely used orthopedic intervention aimed at separating the midpalatal suture (MPS) to correct posterior crossbite and alleviate maxillary crowding. Angelieri et al introduced a novel method for classifying MPS maturation using cone-beam computed tomography (CBCT) analysis. This classification system enables clinicians to predict the prognostic outcomes of palatal expansion in young adults. However, it is a qualitative approach to assessing MPS maturation and is prone to subjectivity, observer bias, and challenges in detecting subtle changes.

The progressive development of MPS, along with an increase in bone density (BD) and rigidity, is a key factor in the significant resistance of the maxilla to transverse expansion forces applied via orthodontic devices. Comprehensive evaluation of sutural BD can help clinicians identify patients at risk for adverse treatment effects associated with RPE, such as dentoalveolar expansion. This type of expansion is often undesirable because it can lead to periodontal attachment deterioration, buccal cortical bone fenestrations, and dental root resorption. Assessing MPS BD can aid in selecting suitable expander types and expansion techniques. For certain age groups, successful skeletal expansion may be achieved with a conventional expander, potentially avoiding the need for miniscrew-assisted RPE (MARPE) or surgically assisted RPE (SARPE).

Naveda et al investigated the BD of MPS before and after expansion with MARPE in adults aged >20 years, reporting high BD in the preexpansion phase. However, they did not discuss the MPS maturation stage or the type of expansion achieved. A reduction in BD was observed after the retention phase compared with the preexpansion phase. Villaroel et al found a significant relationship between MPS bone characteristics and MPS maturation stage.

MPS maturation is unrelated to the individual’s growth pattern but is associated with the transverse growth of the maxilla and palatine bones. Transverse growth of the maxilla results from the osteogenic activity of MPS and continues until the suture ossifies. Although Villaroel et al explored the morphologic stages of MPS maturation in CBCT scans, their study did not incorporate quantitative assessments of BD or transverse maxillary dimensions. To the best of our knowledge, this is the first study to concurrently evaluate the triad of MPS maturation, BD, and transverse dimensions across a broad age spectrum, enabling a more comprehensive understanding of their interrelationship. Thus, the primary objective of this study was to investigate the relationship between MPS maturation, BD, and maxillary transverse dimensions. The secondary aim was to determine whether BD or maxillary transverse dimensions could serve as quantitative indicators of MPS maturation.

On the basis of the existing literature, we hypothesized that (1) there is a strong positive correlation between MPS maturation stages, BD, and maxillary transverse dimensions, with higher BD and wider transverse dimensions associated with more advanced MPS maturation stages; and (2) BD derived from CBCT measurements and synthesized via principal component analysis (PCA) and maxillary transverse dimensions, serve as reliable quantitative predictors of MPS maturation stages, offering a more objective alternative to qualitative assessments.

Material and methods

This retrospective observational study was conducted using the CBCT records of patients who visited the Department of Orthodontics between January 2014 and July 2024. Institutional ethical committee approval was obtained before starting the study, which was conducted in accordance with the Strengthening the Reporting of Observational Studies in Epidemiology guidelines and principles of the Declaration of Helsinki. The requirement for written informed consent was waived because of the retrospective design of the study. All patient data were anonymized to ensure confidentiality.

Sample size analysis was performed using the G∗ Power software (version 3.6.9; Heinrich-Heine-Universität Düsseldorf, Düsseldorf, Germany). This study included 114 participants (equally distributed by sex). The estimated sample size was obtained at 95% power and 5% alpha error with an effect size of 0.59, as presented by the mean difference of 133.5 Hounsfield units (HU) and the pooled standard deviation (SD) of 225.1 in BD of anterior and posterior palate in the reference study.

A total of 820 records were screened for eligibility, and a comprehensive review was conducted on 114 pretreatment CBCT records of the maxilla, which were acquired for the purposes of diagnosing and formulating treatment plans for conditions such as impacted, transposed, or supernumerary teeth, constricted maxilla, miniscrews placement, or any other clinical interventions wherein traditional 2-dimensional radiographic techniques were inadequate to provide sufficient diagnostic information. The patients were categorized into 4 chronological age cohorts (aged 10-13, 14-17, 18-21, and 22-25 years), with each cohort comprising an equal number of males and females. Stratified sampling was used, wherein the dataset was initially partitioned into age-based strata and subsequently further stratified by sex within each age cohort. From each age-gender stratum, an equal number of male and female records were selected using simple random sampling. Only patients with comprehensive CBCT documentation and demographic information were included, and incomplete or duplicated records were omitted. This methodology ensured an equitable representation of age and sex across the cohorts. Patients with cleft palate, craniofacial syndromes, pathologies affecting the sutural area, orthognathic surgery, previous orthodontic treatment, or image artifacts were excluded.

CBCTs were acquired with a CBCT machine (Carestream Dental, Atlanta, Georgia) at 90 kV, with a mean exposure time of 6.4 seconds at 8 mA, voxel size of 0.3 mm, field of view measuring 10 × 10 cm, and slice thickness of 400 μm. The image reconstruction process for visual analysis was executed using CS imaging software (version 8, CS Imaging Software; Carestream Dental, Atlanta, Georgia). The anterior nasal spine (ANS; characterized as the most anterior point of the premaxilla along the midsagittal plane) and posterior nasal spine (PNS; characterized as the most posterior point of the palatine bones along the midsagittal plane) were delineated. CBCT images were standardized by orienting each volumetric dataset such that the coronal slice was positioned to align with the posterior transverse suture, the sagittal slice was positioned to align with the ANS-PNS, and the axial slice was oriented in correspondence with the hard palate and ANS-PNS. The section within the thickness of the hard palate was delineated, and the maturation of the MPS, along with BD, was assessed using CBCT software.

The MPS maturation stage was evaluated according to Angelieri et al, who classified MPS into 5 stages (stages A-E) based on CBCT images ( Fig 1 , A ). However, during the evaluation, some intermediate stages were identified, including B/C, C/D, and D/E. In such instances, a more mature stage was considered. In the sagittal plane, a midsagittal cross-sectional slice was employed to delineate the horizontal axis that intersects the midpoint of the superoinferior dimension of the hard palate (extending from the nasal to the oral surfaces). Subsequently, most axial central cross-sectional slices were used for suture assessment. For reliable and reproducible measurements, it was ensured that all 3 planes were properly oriented.

Fig 1

CBCT measurements: A, MPS maturation assessment, showing stages A-E based on suture appearance, as classified by Angelieri et al ; B, Maxillary transverse dimensions, measured as IMW (distance between buccal cementoenamel junctions of first molars) and ICW (distance between buccal cementoenamel junctions of canines).

Transverse dimensions of the maxilla were measured at 2 regions: intermolar width (IMW) and intercanine width (ICW), as the distance between the buccal cementoenamel junction of the first molars and canines, respectively ( Fig 1 , B ). In the sagittal plane corresponding to the ANS-PNS orientation (midsagittal plane), the maxillary area was systematically segmented into 3 uniform sections (M1, M2, and M3), whereas the palatal area was methodically divided into 2 equivalent sections (P1 and P2) ( Fig 2 , A ) . Subsequently, in the coronal plane aligned with the posterior transverse suture and intersecting the centroid of each segment, the MPS BD was quantitatively evaluated using a rectangular region of interest (ROI) defined by a width of 3 mm, which encompassed the complete vertical extent of the MPS (cancellous bone located between the superior and inferior cortical layers) ( Fig 2 , B-F ). However, in some instances, the ROI unavoidably included portions of the denser nasal crest because of its proximity to the suture, particularly in the anterior segments (M1 and M2). The vertical boundaries of the ROI were set to extend from the nasal surface to the oral surface of the hard palate, as delineated in the midsagittal plane aligned with the ANS and PNS. The measured gray density values as gray value in CBCT were converted to those of HU in computed tomography (CT) by multiplying the gray values of CBCT by 0.7.

Fig 2

BD measurement along the MPS using CBCT: A, Sagittal view showing the MPS divided into 3 maxillary regions (M1, M2, and M3) and 2 palatal regions (P1, P2) for BD assessment; B-F, Coronal views illustrating BD measurement in each region (M1, M2, M3, P1, and P2) using a 3 mm-wide rectangular ROI, capturing the suture’s density to evaluate maturation.

Both evaluators (S.G. and J.K.) were calibrated by allowing both evaluators to analyze and perform CBCT test measurements and provide feedback on technique and accuracy. Consequently, they undertook an evaluation of 10 CBCT scans that were not pertinent to the study for independent appraisal. The same measurements were repeated on separate occasions by the same evaluator to check the reliability over time. The weighted Cohen’s kappa values for the MPS ossification stage were 0.82 for an interobserver reliability and 0.85 for an intraobserver reliability. For BD, ICW, and IMW, the intraclass correlation coefficient (ICC) was used to assess the intraobserver and interobserver reliability. The interobserver reliability values for BD, ICW, and IMW were 0.83, 0.90, and 0.89, respectively. The intraobserver reliability values were 0.85 for BD, 0.92 for ICW, and 0.90 for IMW, showing high reliability.

All measurements were then conducted by 2 calibrated evaluators (S.G. and J.K.) who were provided with coded CBCT scans and blinded to each other’s scores. The images were anonymized, and the evaluators were unaware of the patients’ age and sex. After a washout duration of approximately 1 month, the analysis was repeated on a sample of 30 randomly selected CBCT scans. The statistician who performed the statistical analysis was blinded to the group allocation.

Statistical analysis

Data were entered into Microsoft Excel for analysis using Stata software (version 18; StataCorp LLC, College Station, Tex). Categorical variables are summarized as frequencies and percentages, whereas continuous variables are reported as mean and SD values. Normality of the data was assessed using the Shapiro-Wilk test and further verified with Q-Q plots. As the data were found to be normally distributed, the association between MPS stage and variables such as BD, IMW, and ICW was evaluated using Spearman’s correlation test. PCA was employed to condense the BD measurements from 5 different areas of the MPS into a single representative value called the gray score. PCA simplifies complex data by identifying the most important patterns, allowing us to summarize BD across multiple regions without losing key information. The first principal component (F1), which explained >90% of the variation in BD, was used to calculate the gray score. This score was calculated using factorial analysis and standardized to have a mean of 0 and an SD of 1. The gray score was further converted to synthetic BD using the following formula: (gray score × SD) + observed BD based on the F1 score. The relationships between synthetic BD, MPS stage, ICW, and IMW were analyzed using analysis of variance and classification and regression tree (CART) analysis. CART analysis was applied to predict MPS maturation stages based on synthetic BD, IMW, and ICW. CART creates a decision tree by splitting data into groups based on threshold values to classify samples into MPS stages (B-E), providing a clear, visual guide for predicting maturation stages. The intraobserver and interobserver repeatability of continuous variables was quantified using ICC, whereas intraobserver and interobserver agreement for the MPS stage was measured using Cohen’s kappa coefficient. Statistical analyses were performed with a significance level of α = 0.05.

Results

The intraobserver reliability exhibited an excellent reproducibility (weighted kappa = 0.92) for assessment of MPS maturation stage, ICC value of 0.94 for ICW and IMW measurements, and 0.86 for BD measurements. The interobserver reliabilities showed a kappa value of 0.90 for the MPS maturation stage, ICC of 0.92 for ICW and IMW, and ICC values of 0.84 for BD measurements, which showed excellent reliability of the measurements.

The following results address the hypotheses that MPS maturation stages correlate with BD and maxillary transverse dimensions (IMW and ICW), and that BD and IMW serve as quantitative predictors of MPS maturation. On the basis of PCA, the BD at P1 had the highest loading value of 0.991, followed by M3 and P2. The F1 score captured a high percentage (>90%) and, therefore, was used reasonably as a single representative value ( Fig 3 , A ). F1 scores were then extracted for each sample and converted to synthetic BD values using the formula mentioned in the statistical analysis ( Fig 3 , B ). The mean chronological age of 57 males in the study sample was 17.75 ± 4.16 years, whereas for 57 females, it was 17.36 ± 3.99 years, with no statistical significance ( P >0.05). The mean IMW and ICW were statistically greater in females than in males ( P <0.05) ( Table I ).

Fig 3

PCA for BD assessment: A, Bar chart showing the contribution (loading values) of BD measurements from 5 MPS regions (M1, M2, M3, P1, and P2), with P1 contributing most to overall density variation; B, Graph of the F1, which summarized >90% of BD variation, used to create a single gray score for each patient, representing overall suture density for MPS maturation prediction.

Table I

Descriptive analysis of various parameters (sex-wise) analyzed in the study

Sex n Min Max 95% CI Mean ± SD P value (effect size)
Chronological age (y)
Male 57 11.4 25 16.64-18.85 17.75 ± 4.16 0.620 (0.09)
Female 57 11.2 25 16.30-18.42 17.36 ± 3.99
Synthetic BD (HU)
Male 57 136.8 1196.9 447.77-598.43 523.1 ± 283.7 0.206 (0.24)
Female 57 144.4 1231.6 516.01-664.29 590.1 ± 279.2
IMW (mm)
Male 57 46.8 56.8 52.71-54.01 53.36 ± 2.44 0.049 (0.39)
Female 57 49.5 57.5 53.64-54.81 54.22 ± 2.20
ICW (mm)
Male 57 29.1 38.2 34.71-35.84 35.28 ± 2.12 0.024 (0.50)
Female 57 31.6 38.4 35.66-36.50 36.08 ± 1.58

CI , confidence interval; Min , minimum; Max , maximum.

Table II shows that statistically significant differences existed in the presence of the MPS maturation stage at different chronological ages in both sexes. In males, the highest percentage was observed in stage C (35.08%), with a significant P value of 0.001, indicating a relationship between age and the MPS stage. In subjects aged 10-13 years, all males were in stages B and C of the MPS maturation stage, whereas 9 females were in stages B and C, and 5 females were in stages D and E. In subjects aged 14-17 years, most of the males were in stage B and none were in stage E, whereas 5 females were in stage E. In subjects aged 18-21 years, 7 (12.28 %) males were in stage C, 5 (8.77 %) in stage D, and 2 (3.50 %) in stage E, whereas 3 (5.26 %) females were in stage C, 4 (7.01 %) in stage D, and 7 (12.28 %) in stage E. Finally, in subjects aged 21-25 years, both males and females were mostly in stage E. This finding suggests that MPS maturation occurs earlier in girls than in boys.

Table II

Distribution of males and females across different MPS stages

MPS stage Age group (y) P value
Total 10-13 14-17 18-21 22-25
Male
B 13 (22.80) 9 (15.78) 4 (7.01) 0 (0.00) 0 (0.00) 0.001
C 20 (35.08) 5 (8.77) 8 (14.03) 7 (12.28) 0 (0.00)
D 13 (22.80) 0 (0.00) 4 (7.01) 5 (8.77) 4 (7.01)
E 11 (19.29) 0 (0.00) 0 (0.00) 2 (3.50) 9 (15.78)
Female
B 10 (17.54) 6 (10.52) 4 (7.01) 0 (0.00) 0 (0.00) 0.020
C 10 (17.54) 3 (5.26) 4 (7.01) 3 (5.26) 0 (0.00)
D 14 (24.56) 3 (5.26) 3 (5.26) 4 (7.01) 4 (7.01)
E 23 (40.35) 2 (3.50) 5 (8.77) 7 (12.28) 9 (15.78)
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Jun 27, 2026 | Posted by in CARDIOLOGY | Comments Off on Evaluating the predictive value of quantitative parameters: Can bone density and maxillary transverse dimensions serve as reliable indicators of midpalatal suture maturation stages?

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