Journal List > Korean J Orthod > v.52(1) > 1159412

Sangalli, Dalessandri, Bonetti, Mandelli, Visconti, and Savoldi: Proposed parameters of optimal central incisor positioning in orthodontic treatment planning: A systematic review

Abstract

Objective

Planning of incisal position is crucial for optimal orthodontic treatment outcomes due to its consequences on facial esthetics and occlusion. A systematic summary of the proposed parameters is presented.

Methods

Studies on Google Scholar©, PubMed©, and Cochrane Library, providing quantitative information on optimal central incisor position were included.

Results

Upper incisors supero-inferior position (4–5 mm to upper lip, 67–73 mm to axial plane through pupils), antero-posterior position (3–4 mm to Nasion-A, 3–6 mm to A-Pogonion, 9–12 mm to true vertical line, 5 mm to A-projection, 9–10 mm to coronal plane through pupils), bucco-lingual angulation (4–7° to occlusal plane perpendicular on models, 20–22° to Nasion-A, 57–58° to upper occlusal plane, 16–20° to coronal plane through pupils, 108–110° to anterior-posterior nasal spine), mesio-distal angulation (5° to occlusal plane perpendicular on models). Lower incisors supero-inferior position (41–48 mm to soft-tissue mandibular plane), antero-posterior position (3–4 mm to Nasion-B, 1–3 mm to A-Pogonion, 12–15 mm to true vertical line, 6–8 mm to coronal plane through pupils), bucco-lingual angulation (1-4° to occlusal plane perpendicular on models, 87–94° to mandibular plane, 68° to Frankfurt plane, 22–25° to Nasion-B, 105° to occlusal plane, 64° to lower occlusal plane, 21° to A-Pogonion), mesio-distal angulation (2° to occlusal plane perpendicular on models).

Conclusions

Although these findings can provide clinical guideline, they derive from heterogeneous studies in terms of subject characteristics and reference methods. Therefore, the optimal incisal position remains debatable.

INTRODUCTION

Although the concept of facial beauty is abstract,1 objective measurements are frequently associated with the perceived facial aesthetics,2 and therefore, are complementary to clinical experience for achieving facial harmony at the end of orthodontic treatment.2 Orthodontic therapies aim at achieving satisfying aesthetic outcomes,3 and should consider the consequences of the treatment on self-esteem4 as well as oral health related quality of life of the patient.5 Efforts have been made to introduce objective methods to assess ideal proportions of the human face,6,7 even if attractive faces may display some asymmetry and proportions that differ from the defined normal values.8 Orthodontists must pay particular attention to the position of the incisors in order to organize the dentition in an environment of functional harmony between the hard9 and soft tissues,10 with an aim of achieving stable long-term treatment results.1 While some studies supported an agreement between the perception of orthodontists and patients,11 when it comes to facial aesthetics, others showed some differences.12 Furthermore, difference in smile aesthetic perception may be present between laypeople of younger and older age.3 Nevertheless, some concepts of facial aesthetics are more widely accepted, such as a greater labial inclination of maxillary incisors is generally considered more attractive13 by both laypeople and professionals.14
The present review selectively analyzed the role of central incisors in orthodontics, as they are probably the most crucial dental elements in terms of aesthetic15 and function,16 and the control of their position may constitute a challenge during orthodontic treatment.17
However, the concept of optimal incisal position is complex. For example, growth influences the relationship between the incisors and the surrounding facial structures and, since females show precocity in skeletal maturation compared to males,18 the planning of the incisal position should account for sex-related growth differences.19 Independently from growth, aesthetic differences may also be present in incisal position between males and females.20 In fact, maximum display of incisors at rest and maximum lip incompetence occurs at 11-years of age in females and at 12-years in males,21 while maximal upper lip thickness is reached by the age of 14 in females and 16 in males.22 Males also show a greater mandibular growth than females after the age of 15 years, resulting in increased projection of the chin and relatively more retruded position of the incisors in relation to the facial profile.23
Slow and progressive skeletal and soft tissue changes continue after adolescence, eventually producing significant modifications in incisor display with aging.24 These include downward and forward nasal projection, tendency of philtrum height to increase at a faster rate than commissure height, thinning of lips, flattening of the smile arc25 and upper vermilion border,26 decrease in lower lip elevation,27 and drooping of commissures resulting in a reverse resting interlabial curvature.28 In particular, the literature has reported an incisal inclination loss with aging.29 Such changes highlight the importance of including age-related facial changes in planning the incisal position.24 Hence, treatments that diminish lower facial height, reduce lip projection, decrease maxillary incisor display while increasing mandibular incisor display, may promote facial aging over time by worsening upper incisal display.19 As a consequence, aesthetic norms are not a static, and those for elderly may be different from norms applicable to younger subjects.30,31
Despite the importance of optimal position of central incisors in planning orthodontic treatment, to the best of our knowledge, only one review in the literature has analyzed this topic.26 The former study specifically focused on the position of the upper incisor in relation to the lips to achieve an attractive smile. However, no objective measurement of the optimal position of the lower incisors was reported,26 and thus, the current literature lacks objective indicators of the optimal position of central incisors.

Objectives

The objective of the present review was to identify linear (supero-inferior and antero-posterior) and angular (mesio-distal and bucco-lingual) parameters identifying the proposed optimal position of upper and lower central incisors.

MATERIALS AND METHODS

The present review was registered to PROSPERO (ID: 256903).

Eligibility criteria

Inclusion criteria were studies in human population, providing quantitative angular and linear information of the optimal position of central incisors.
Animal studies, in-vitro studies, in-silico studies, and those providing only qualitative indications of the optimal position of central incisors were excluded from the review.

Information source

The database search was conducted in April 2021 by one reviewer (L.S.). First, a historical search was carried out on Google Scholar© (to include also records published before 1966). Secondly, a comprehensive search was carried out on MEDLINE via PubMed© and on Cochrane Library (to integrate the findings with the most recent evidence). Further records were manually searched from article references and books.

Search strategy

The historical search was carried out by using the names of the most relevant authors in the field of orthodontics as keywords: “E. H. Angle”, “C. H. Tweed”, “C. C. Steiner”, “W. B. Downs”, “R. M. Ricketts”, “L. L. Merrifield”, “L. F. Andrews”, “J. A. McNamara Jr.”, “W. R. Proffit”, “G. W. Arnett”, and “R. P. McLaughlin”, combined with “orthodontic incisors”. The performed query was to search, for example: “orthodontics incisors author:EH author:Angle”.
The comprehensive search was carried out by using specific terms identifying the data to be extracted as keywords: “incisor(s)”, “incisal”, “position(s)”, “inclination(s)”, “angulation(s)”, “ideal”, “optimal”, and “orthodontic (MeSH terms)”. The performed query was to search: (((incisor[Title/Abstract]) OR (incisors[Title/Abstract]) OR (incisal[Title/Abstract])) AND ((position[Title/Abstract]) OR (positions[Title/Abstract]) OR (inclination[Title/Abstract]) OR (inclinations[Title/Abstract]) OR (angulation[Title/Abstract]) OR (angulations[Title/Abstract])) AND ((ideal[Title/Abstract]) OR (optimal[Title/Abstract])) AND ((orthodontics[MeSH Terms]))).
Both searches included all study types, with no language or time limitations. Subsequently, case reports, literature reviews, and studies published in languages other than English were excluded.

Selection process

Abstracts of the identified records were independently assessed by two reviewers (L.S., F.S.) to determine whether they met the inclusion criteria. Eligible articles were further analyzed for quality assessment and data collection by one reviewer (L.S.).

Primary outcomes

Primary outcomes extracted from the articles were linear (supero-inferior and antero-posterior) and angular (mesio-distal and bucco-lingual) parameters, identifying the optimal position of upper and lower central incisors (if quantitative measurements were not present, qualitative findings were included in the discussion section only).
List of abbreviations regarding points, angles and planes are summarized in Supplementary Table 1.

Risk of bias assessment

A simplified version of the National Institutes of Health Quality Assessment Tool for Observational Cohort and Cross-Sectional Studies32 was used to assess the risk of bias and the quality of the studies. This qualitative assessment tool comprises eight domains: objectives, population, participation rate, comparison among subjects, sample size calculation, outcomes, blinding, and confounders. Each domain was assessed as “Yes” in case the information was retrieved through the article, or “No” in case of missing data. Out of 8 questions, studies scoring 6 to 8 were considered “Good,” those scoring 3 to 5 were considered “Fair,” and those scoring 0 to 2 were considered “Poor”. Studies with “Poor” rating were excluded.

RESULTS

Study selection

Initially, 447 records were identified by the historical search, 98 records by the comprehensive search, and 4 by the manual search, to make a total of 549 records. Then, 5 duplicates were removed, leading to 544 records. Application of the inclusion criteria resulted in the exclusion of 439 records from the historical search and 92 records from the comprehensive search (Supplementary Table 2); none of the 4 manually added records were excluded, leading to 13 eligible articles (Figure 1).

Quality assessment

None of the articles scored “Poor” in the quality assessment, and all 13 articles were included in the quantitative synthesis (Table 1). Sub-optimal scoring was mostly related to missing report of assessor blinding (100%), lack of sample size justification (100%), and unclear adjustment for confounders (100%).

Results of individual studies

Only few parameters were appropriate for a meta-analysis. In addition, studies were heterogeneous in terms of subject characteristics and the resulting evidence was weak; therefore, such quantitative analysis has been reported as additional material (Supplementary Figure 1).
Supplementary data is available at https://doi.org/10.4041/kjod.2022.52.1.53.

DISCUSSION

The present systematic research only partly permitted to reveal precise quantitative indications of the optimal position of central incisors. Besides the scarcity of studies providing quantitative linear and angular parameters, these were carried out on heterogeneous populations and using variable anatomical references. Furthermore, the lack of functional and aesthetic validation of the proposed parameters, together with the absence of a long-term clinical assessment, suggests cautious interpretation of the presented findings.

Quantitative results

Quantitative results of individual studies are presented in Table 2, while qualitative results of articles that were relevant to the topic but not included in Table 2 are presented in the discussion. The 13 studies included in the quantitative analysis included cross-sectional studies and case series.
Overall, the articles showed a heterogeneous population with regard to occlusion and age. Three studies reported findings based on observation of untreated occlusion that was not necessarily ideal,33-35 three studies evaluated individuals receiving orthodontic treatment,16,36,37 and seven studies involved ideal untreated occlusion.19,38-43 The age range was relatively broad. Two studies did not specify the age of the patients,16,36 two studies stated the study subjects as adolescents,37,41 and two studies described the patients as young adults or adults, but the age range was not otherwise specified.34,42 Overall, most of the studies included subjects between 12- and 35-years of age,19,38-40,43 while two other studies considered a broader age range of 3- to 44-years33 and 9- to 41-years.35
The list of objective measurements expected to be collected was overjet, overbite, interincisal angle, antero-posterior and supero-inferior position, mesio-distal and bucco-lingual angulation. Although these measurements are necessary to objectively identify the incisal position within the face, different points and axis were used to identify the incisors,16,19,35,38,40 and none of the studies provided measurements in all these domains. When the information was provided, the suggested interincisal angle was between 125° and 135°.33,35,37,39 Only a single study provided a precise indication of overbite, identifying 3 mm as an optimal value.34 The overjet was clarified in two studies, and reported to range between 2 and 3 mm.19,34
As for the antero-posterior position, most of the measurements were based on different reference lines for upper (NA, A-Pog, Point A vertical projection, TVL, FFP, FMP, MC) and lower (NB, A-Pog, TVL, MC) incisors,19,33,34,36-39,41,42 which limited the comparison among studies. One of the most common parameter evaluated was the distance between the incisors and A-Pog line. The A-Pog line was first adopted by Downs,39 who introduced the concept of antero-posterior position of mandible and maxilla in relation to the upper face39,44 and was subsequently utilized by Ricketts33 as a reference for the lower incisors, intended as the reciprocal relationship of denture bases to which the incisors should functionally relate. Lastly, McNamara42 used A-Pog line to identify the position of hard tissues, which along with soft tissues contribute to aesthetic outcomes. In general, all the authors utilized anatomical references that are related to soft- or hard-tissue structures, except for Arnett, who used TVL, which is related to natural head posture.34
Few authors provided indications about supero-inferior measurements19,34 suggesting different standards for males and females.19,34 For upper incisors, values were at 5 mm for females and at 4 mm for males inferior to the upper lip;34 at 73 mm for males and 67 mm for females inferior to MA.19 Only one study presented the supero-inferior position of the lower incisor and suggested to set it at 41 mm superior to MP for females, and at 48 mm to MP for males.19
Regarding the mesio-distal angulation, the adopted plane was the perpendicular to OP, as proposed by Andrews.40 The upper incisors were placed at 5° to the perpendicular to OP,40 and the lower incisors were set at 2° to it.40
Most of the authors recommended bucco-lingual angulation measurements, which were – in some cases – specific for males and females.19,34 The bucco-lingual angulation was the domain with the greatest heterogeneity of reference lines for upper (MC, OP, upper OP, NA, PNS-ANS, SN) and lower (A-Pog, OP, lower OP, NB, MP, FH) incisors.16,19,33-35,37-40,43 Interestingly, when the same reference was adopted, the range was narrow and concordant, especially for the lower incisors with respect to MP.35,38,39,43 MP was the most common reference line for lower incisors inclination, and it was first introduced by Tweed16 as a reference to which the mandibular incisors should be placed upright to achieve facial harmony, treatment stability and efficient masticatory function. Yet, some authors cast doubts upon this reference plane, due to the its variability with respect to vertical growth type.45 In general, it is noteworthy that the ranges of values were often identified by using one standard deviation (SD) from the mean. However, it is debatable whether one SD, rather than two SD, or other criteria, should be adopted for identifying the range of normality.46

Incisal position based on smile

In the coronal plane, incisal exposure with lips at rest is one of the major aesthetic parameters in orthodontic treatment planning,47,48 which is normally considered between 1 and 5 mm,49 with intrusion of upper incisors resulting in aging appearance.50 Ideally, in adolescents, a minimum of 8 mm of clinical crown height of upper incisor and a maximum of 2 mm of gingival exposure should be seen during smiling,51 and youthful smiles generally reveal 75% to 100% of the upper incisors below the intercommissure line.52 Slightly extruded upper central incisors (with a central-to-lateral incisal step of 1.5 mm) are preferred.53 An inadequate incisor display can result from a combination of short clinical crown height,54 vertical maxillary deficiency, increased lip thickness, and decreased lip mobility.55 The “smile arc” is defined as “consonant” when the maxillary incisal edge curvature runs parallel to the lower lip curvature on smiling, and “non-consonant” when it is flatter.56 In the sagittal plane, incisal inclination influences their display, so that proclined maxillary incisors in class II division 1 or in class III compensation malocclusions have reduced visibility. Conversely, upright or retroclined maxillary incisors such as in class II division 2 malocclusion have greater display.57

Incisal position based on profile

The position of incisors can greatly affect the facial profile.57 Class II division 2 malocclusion induces facial profile flattening, as central incisors are unable to sustain the lips. Conversely, excessive incisal proclination can cause protrusive profile, with mentalis and lip strain on mouth closure,58 increased depth of upper labial groove,59 unattractive nasolabial angle, and lack of a well-defined labiomental sulcus.25 Similarly, a poorly defined labiomental sulcus occurs in mandibular prognathism with retroclined mandibular incisors.58 Interestingly, the perception of the anterior limit of the teeth may be not influenced by protrusion of nose and chin.60 The preferred profile as per a previous study showed maxillary incisor inclination of +93° to HR, and +7° to Sn-Pog’ and +7° to Sn-Pog’, while increasing incisor inclination with respect to SN may cause profile aesthetics to deteriorate.61

Incisal position based on lips

Incisors can affect antero-posterior lip position, especially when retraction mechanics are used.62-64 The prediction of lip changes with respect to incisal movement varies considerably according to sex,65 dentofacial morphology,66 and ethnicity. For African Americans, the ratios of upper and lower incisor retraction to upper and lower lip retraction are 1.8:1 and 1.2:1, respectively.67 For Caucasians, the ratios of upper incisor retraction to upper lip retraction varies from 2.2:1 to 2.9:1,68 and the ratios of lower incisor retraction to lower lip retraction ranges from 1.1:1 to 1.2:1.69 Furthermore, an increase of 1 mm in proclination of upper incisors leads to an increase of 0.42 mm in prominence of upper lip, 0.35 mm in depth of upper labial sulcus, and increase of upper lip angle by 1.5°.70 Overall, a positive correlation exists between upper and lower incisor retraction with reduction of lower lip thickness. The lower lip position is affected not only by retraction of lower incisors, but also by upper incisal retraction.70 In case of the upper lip, each 3 mm of retraction of maxillary incisors leads to a thickening of 1 mm of upper lip.71,72 Regarding the vertical position of upper lip in relation to incisors, the lower margin of upper lip should be evenly aligned with the gingival margin of maxillary central incisors.73

Incisal position based on gingiva and periodontium

The position of the incisors can modify the gingival contours and its height when the sulcular attachment apparatus is intact.47 For example, it has been shown in a study that the gingival margin and mucogingival junction move in the same direction as the orthodontically extruded lower incisors by 80% and 53%, of the total amount of dental extrusion, respectively.74 During intrusion, the sulcus base and mucogingival junction move apically by 60%,75 while the gingival margin moves apically by 79%.76 In addition, orthodontic extrusion leads to an increase in gingival width and amount of keratinized tissue.74 The ideal gingival margins of upper central incisors are at the same level of canines, and the ones of lateral incisors are slightly lower than the adjacent teeth.25 Excessive inclination can cause recession of gingival margin, bone dehiscence, and fenestration.77 The presence of a thick gingival phenotype is an important factor for minimizing gingival recession at the end of an orthodontic treatment.78

Incisal position based on skeletal facial pattern

The interincisal angle is influenced by both vertical and sagittal skeletal variations.69 It is normally between 125° to 135° in a mesofacial biotype,79 and it varies depending on skeletal facial pattern: the interincisal angle is usually higher for dolichofacial type of faces (with more retroclined lower incisors, placed at ±1 mm to A-Pog)80 and lower for brachyfacial ones (with lower incisors at +6 mm).81 A deviation from normal range exposes the treatment to a higher risk of relapse82 and worsening of aesthetic perception.83 Regarding the sagittal skeletal variation (Class II and Class III), changes in the incisor position tend to follow skeletal malocclusion, with proclined lower incisors associated with a backward mandibular position, and retroclined lower incisors with a forward mandibular position.84 As for the upper incisors, skeletal Class II was associated with upright maxillary incisors, while skeletal Class III was accompanied by labially inclined maxillary incisors.85
Interestingly, some studies did not find differences in the interincisal angle with respect to skeletal variations, both vertically and sagittally.81

Incisal position based on incisal guide and function

Incisors play a significant role in cutting of food, production of sounds,86 and mandibular guidance.87 Incisal guidance is defined as the influence of contacting surfaces of mandibular and maxillary anterior teeth on mandibular movements,87 and is referred to the lingual inclines of the six upper anterior teeth. In presence of well-balanced occlusion, which involves appropriate incisal guidance without any posterior contacts, two thirds of the masseter and temporalis do not contract; therefore, biting force is reduced.88 During protrusive sliding movements, incisors and canines act together and anterior teeth disclude in group function.89 Conversely, greater forces are generated in presence of posterior contacts during excursive movements, whenever a loss of incisal guidance occurs.88-90 Similarly, unfavorable incisal guidance may lead to abnormal condylar movements, potentially contributing to pathologic stress. If incisal guidance is steep, steep cusps, steep occlusal plane, or steep compensatory curve is needed to produce a balanced occlusion.9

Long-term treatment stability

The proposed optimal incisor position should also respond to long-term stability requirement of orthodontic treatment. The teeth should be placed in the center of the alveolar ridge and should be provided with appropriate periodontal support, to avoid the risk of resorption, dehiscence, and gingival recession.91 Lower incisors that are either too proclined, especially with a thin gingival phenotype,92 or too retroclined,93 may be periodontally unstable at long-term. For example, an ANB < 1.45° with bucco-lingual angulation of the lower incisors or the mandibular plane < 92.6° may increase the odds of gingival recession by four times.93 Likewise, patients with higher values of ANB and Wits presented more adequate gingival thickness and width of keratinized gingiva.78 The proposed optimal position of the incisors should also balance the pressure derived from muscles and other soft tissues, in absence of parafunctional habits.94

Limitations

Overall, the topic of the optimal end-of-treatment incisal position is controversial in the orthodontic literature because of the impossibility to objectively formulate standardized norms, due to large inter-individual variability and subjective concepts of aesthetics. This said, a major technical limitation was the adoption of different reference systems for identifying the position of the incisors, which undermined the comparison of the standards proposed by different authors. Further investigations are warranted to achieve a standardization of the recommendations about incisal position. Moreover, the majority of the analyzed articles were limited to Caucasians, and the presented findings may not be generalized to all ethnicities.

CONCLUSION

This systematic review summarized the quantitative angular and linear indications reported in the published literature with regard to the optimal ranges for upper and lower incisal position. Great heterogeneity was found in terms of subject characteristics and measurement methods, and the majority of the studies were limited to Caucasians. Future research should address the need for standardization of lines and reference points, with studies conducted on larger and appropriately selected samples, including subjects from other ethnicities. Furthermore, studies including objective clinical outcome measurements are needed to investigate the validity of the suggested data.

SUPPLEMENTARY MATERIALS

Notes

CONFLICTS OF INTEREST

No potential conflict of interest relevant to this article was reported.

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Figure 1
Flow chart illustrating the process of article selection. “not by the author” indicated that the study was not authored by the expected author, but by a homonym author instead.
kjod-52-1-53-f1.tif
Table 1
Methodological quality assessment of studies included in the quantitative analysis
Domain Tweed
(1954)16
Steiner
(1953)37
Downs
(1956)39
Andrews
(1972)40
Ricketts
(1960)33
Holdaway
(1956)36
McNamara
(1984)42
Arnett
et al.
(1999)34
Masoud
et al. (2017)19
Knösel
et al. (2008)38
Knösel
and Jung
(2011)43
Webb
et al. (2016)41
Ross
et al. (1990)35
Objective clearly stated? Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes
Study population clearly defined? No Yes No Yes Yes No Yes Yes Yes Yes Yes Yes Yes
Participation rate at least 50%? Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes
Subjects comparable? Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes
Justification of sample size? No No No No No No No No No No No No No
Reliability of outcome measures? No No No No No No No No Yes Yes Yes Yes No
Assessors blinding? No No No No No No No No No No No No No
Adjustment for confounders? No No No No No No No No No No No No No
3/8 4/8 3/8 4/8 4/8 3/8 4/8 4/8 5/8 5/8 5/8 5/8 4/8
Table 2
List of selected articles with their contribution to the information on position of upper and lower incisors
Author Concept Age
(yr)
N Occlusion Jaw Interincisal angle (°) OB
(mm)
OJ
(mm)
Proposed optimal incisal position
Antero-posterior Supero-inferior Mesio-distal angulation Bucco-lingual angulation
Tweed (1954)16 Mandibular incisors are positioned upright over mandibular plane for harmony and stability Not available 95 T + U Upper
Lower 86.9° to MP, 68.2° to FH
Steiner (1953)37 Incisal position is related to skeletal class relationship Adolescent Not available T Upper 130 4 mm to NA 22° to NA
Lower 4 mm to NB 25° to NB
Downs†† (1956)39 In cisal position should allow a functionally balanced occlusion and a good profile balance 14.5 ± 2.5 20 U + I Upper 135.4 ± 5.8 2.7 ± 1.8 mm to A-Pog
Lower 91.4 ± 3.8° to MP, 104.5 ± 3.5° to OP, 68° to FH
Andrews§‡‡ (1972)40 Three-dimension treatment planning, predetermined incisal angulation and inclination < 30 120 U + I Upper 5° to perpendicular to OP 7° to perpendicular to OP
Lower 2° to perpendicular to OP –1° to perpendicular to OP
Ricketts (1960)33 Planning of incisal position is based on the lower third of the face, with similar values at different age 3–44 1,000 U Upper 125 ± 4 5.7 ± 3.0 mm to A-Pog
Lower 0.5 ± 2.7 mm to A-Pog 20.5 ± 6.4° to A-Pog
Holdaway (1956)36 Incisal position based on unstrained soft-tissue lip balance Not available 37 T + U Upper
Lower 3.1 mm to NB
McNamara (1984)42 Incisal position is different based on cranial base structure and jaw relationship Young adult 111 U + I Upper 5.4 ± 1.7 (F),
5.3 ± 2.0 (M) mm to Point A*
Lower 2.7 ± 1.7 (F),
2.3 ± 2.1 (M) mm to A-Pog
Arnett et al. (1999)34 Three-dimensional position of incisors to TVL, treatment planning starts from upper incisor position Adult 46 U Upper 3.2 ± 0.7 (F), 3.2 ± 0.7 (M) 3.2 ± 0.4 (F), 3.2 ± 0.6 (M) –9.2 ± 2.2 mm (F), –12.1 ± 1.8 (M) to TVL –4.7 ± 1.6 mm (F), –3.9 ± 1.2 mm (M) to upper lip 56.8 ± 2.5° (F), 57.8 ± 3.0° (M) to upper OP
Lower –12.4 ± 2.2 mm (F), –15.4 ± 1.9 mm (M) to TVL 64.3 ± 3.2° (F), 64.0 ± 4.0° (M) to lower OP
Masoud et al. (2017)19 The position of upper and lower incisors is different between males and females 18–35 49 U + I Upper 2.5 ± 0.9 (M),
2.4 ± 0.8 (F)
10.4 ± 4.7 mm (M), 8.5 ± 4.1 mm (F) to MC –72.5 ± 3.5 mm (M), –66.8 ± 2.9 mm (F) to MA 16.0 ± 8.1° (F), 20.3 ± 7.6° (M) to MC
Lower 7.9 ± 4.6 mm (M), 6.2 ± 3.7 mm (F) to MC 40.7 ± 2.8 mm (F), 48.1 ± 3.0 mm (M) to MP' 81.4 ± 5.6° (M), 80.9 ± 4.4° (F) to MP'
Knöselet al. (2008)38 Incisor inclination is related to sagittal skeletal jaw relationships, and minimally to the skeletal vertical dimension 12–35 69 U + I Upper 3.4 ± 2.6 mm to NA 20.0 ± 7.2° to NA, 109.5 ± 6.4° to PNS-ANS
4.9 ± 5.9° to perpendicular to upper OP
Lower 4.3 ± 2.1 mm to NB 24.8 ± 6.3° to NB, 94.2 ± 7.2° to MP
–3.0 ± 6.9° to perpendicular to lower OP
Knösel and Jung (2011)43 The ideal posterior occlusion concepts as end-of-treatment goal should be reconsidered 16–26 17 U + I Upper 19.8° to NA, 107.5° to PNS-ANS
4.0° to perpendicular to upper OP
Lower 22.3° to NB, 93.5° to MP
–3.5° to perpendicular to lower OP
Webb et al.** (2016)41 Upper lip is a key concept, as it is directly affected by the antero-posterior position of the upper incisors Adolescent 100 U + I Upper –2.2 mm (F), –2.6 mm (M) to FFP, 1.6 mm (F), 3.4 mm (M) to FMP
Lower
Ross et al. (1990)35 Faciolingual inclination of upper incisors is related to the occlusal plane, which depends on the inclination of the sella nasion 9–41 18 U Upper 131.3 ± 15.1° 102.4 ± 13.3° to SN, 26.7 ± 10.9° to perpendicular to OP
Lower 93.7 ± 6.1° to MP, 22.0 ± 6.2° to perpendicular to OP

N, sample size; OB, overbite; OJ, overjet; TVL, true vertical line; U, untreated; T, treated; I, ideal occlusion; M, male; F, female; “-”, posterior to; “+”, anterior to.

*Refers to the vertical projection of the point.

Values have been calculated as the average between right and left, as they were reported separately by the author.

The long axis of the tooth, from the apex to the incisal edge, was used to identify the axis of the incisors.

§The the facial axis of the crown (FAC) was used to identify the axis of the incisors.

The line connecting the incisal edge to the midpoint between labial and lingual gingival limits of the facial axis of the clinical crown was used to identify the axis of the incisors.

The labial long axis of the clinical crown (LACC) was used to identify the axis of the incisors when measured on dental models (with respect to upper OP and lower OP), and the long axis of the tooth, from the apex to the incisal edge, was used to identify the axis of the incisors on cephalograms (with respect to NA, SNP-SNA, NB, MP).

**The most facial aspect of the upper central incisor was used to identify the reference point of the incisors.

††The angular values related to OP and MP were reported by adding 90° to the values presented in the original article, as the author probably omitted to specify that it was not the plane, but the perpendicular to the plane, that was used for calculation.

‡‡The data were integrated with information from the book Andrews LF. Straight wire: the concept and appliance. San Diego: L.A. Wells; 1989.

See Supplementary Table 1 for definitions of each point, angle, and plane.

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