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Scientific Section |
Transformation Orthodontics. Langley, BC.
Address for correspondence: Richard Grant Standerwick, 20159-88th Ave, Suite E207 Langley, BC, Canada Email: rjstanderwick{at}gmail.com
Received 23 April 2008; accepted 5 November 2008
| Abstract |
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Materials and methods: Tracings for ages 8, 10, 12, 15 and 18 were chosen from the Bolton Standards of Dentofacial Developmental Growth to compare superimposition with the traditional longitudinal reference at SACB (anterior curvature of sella turcica and anterior cranial base) to reference at I-point on the antero-inferior contour of the occipital condyles in norma lateralis. The serial tracings were superimposed using both the sagittal and postero-anterior (PA) tracings. Incremental growth of landmarks was measured in relation to Cartesian coordinates and compared between the superimposition methods.
Results: Sagittal and PA tracing superimpositions displayed an average 7 mm greater cephalad movement of landmarks, an average 2.4 mm greater ventral movement, and comparable transverse dimension with superimposition referenced at I-point as compared to the SACB reference.
Conclusion: I-point superimposition demonstrates physiologic growth patterns concealed by traditional registration at sella turcica. The evolution of superimposition on SACB was based on convenience and reproducibility. Fundamental principles of bone development are consistent with the occipital condyles as a more biologic reference for relative craniofacial growth. Actual vertical growth is believed to be greater than displayed in this study, due to the cross-sectional and blended nature of the sample.
Key words: Cephalometrics, I-point, occipital condyle, superimposition, craniofacial growth
| Introduction |
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The separation of the anterior and posterior cranial base (PCB) by the sphenooccipital synchondrosis (SOS) must be considered as most facial structures are located ventral to the SOS while the mandibular condyle is dorsal to the SOS.7
Incorporation of structures on the PCB have lead to the development of analyses, notably by Broadbent (Bolton point-nasion),8
,9
Coben (basion-ACB analysis)7
,10
and Frankel (O'; occipital point).11
These structural landmarks are proximate the occipital condyles, in norma lateralis. The cephalometric landmark I-point,12
the most antero-inferior point on the basi-occipital portion of the occipital condyles in norma lateralis (OC) was utilized for cephalometric superimposition in this study (Figure 1
). This method is similar to the Coben analysis (the reference points basion and I-point are both located on the PCB: the ACB orientation is similar to Cobens sella-nasion line which is stable relative to the ethmoid cribriform plate,5
and both are oriented parallel) and based on the work of Kanomi (K-point). Observed apposition at basion3
is not large relative to the occipital condyle, however the effect of relative positional change of other landmarks increases with distance from the reference, making the small amounts significant.
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The objective of this study was to determine if the occipital condyle is a more physiologic superimposition reference for demonstrating the modelling and remodelling mechanisms of craniofacial growth.
| Methods and materials |
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The following 31 landmarks were selected for analysis using Cartesian coordinates with the lateral cephalometric radiographs:
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The following 24 landmarks were selected for analysis using Cartesian coordinates with the frontal cephalometric radiographs:
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The 8-, 10-, 12-, 15- and 18-year-old sagittal tracings were superimposed 3 times by referencing on the anterior curvature of sella and oriented to ACB (SACB), and then, superimposed 3 times referencing at I-point/I-curve while ACB was oriented parallel to subsequent superimposed ACB (Figure 2
). Cartesian coordinates where designed for both superimposition methods using transparency graph paper (8.5'x11' transparency film 0.1 mm, SL5263, Staples Inc., Framingham, MA, USA; which was imprinted with a 1x1 cm grid). The x-axis was coincident with a line oriented through the anterior curvature of sella turcica midpoint and ethmoidale (the deepest point on the ACB outline) of the 8-year-old tracing (Figure 3
). The y-axis was coincident with a perpendicular line originating from the x-axis and bisecting I-point on the 8-year-old tracing (Figure 3
). Overlaying the acetate graph to match the created x-axis and y-axis, points were marked on the graph acetate with a permanent marker (Sharpie® ultra fine point, 0.3 mm, Model 37001). As subsequent tracings were superimposed, the graph acetate was reoriented over the superimpositions, aligned to the x- and y-axis of the 8-year-old tracing, and landmarks plotted for the subsequent tracings. Measurement between points was from the best approximation of the point centres using an electronic digital caliper (Orthopli, #0400-EEP, Philadelphia) recorded to two decimal places.
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| Statistical summary |
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Inter-correlation coefficients (ICCs) were calculated for within-reference repeatability (I point or SACB) for each location, separately for x-axis and y-axis and ICCs for the agreement between measurements using I point and SACB as reference, separately for x-axis and y-axis, again using all of the measurements for that location.
The between-reference difference mean, standard error and P-value were calculated, separately for x-axis and y-axis, using I point and SACB as reference again for all of the measurements for that location.
| Results |
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A comparison of landmark movement and the corresponding superimpositions are shown in Figures 2
and 4
. For the ages 8 to 18, sagittal tracing superimpositions displayed an average 7 mm greater cephalad movement of landmarks and 2.4 mm greater ventral movement when superimposition was referenced at I-point as compared to the SACB reference. The PA tracings displayed an average 6.7 mm cephalad movement of landmarks and comparable transverse dimension (–0.4 mm) for I-point reference (Table 3).
Differences (mean, SE, P value) between measurements using I point and SACB as references, are shown by the highly significant P values; these were not an agreement between the references.
| Discussion |
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The use of stable internal landmarks (implants) were not available, however within the limitations of this study, the impact of the vertical cranial component of growth was revealed relative to the aponeurotic tension model of craniofacial growth.12
,20
Also, there is an inability to observe mandibular rotation (Bjork)21
with the Bolton Standards because the appropriate internal landmarks were not traced: mandibular condyle, internal symphysis and inferior alveolar canal.12
For future studies using these stable structures, it is recommended that the inferior alveolar canal landmark point be transferred from the initial tracing to subsequent tracings (regional superimposition to locate the same point on the canal) when utilizing internal stable structures for superimposition with I-point.12
,21
The cross-sectional sample of blended sex mean values used to create the Bolton Standards tracing are a limitation of this study; therefore the vertical component of growth for individuals may be have been underestimated. Additionally, the cross-sectional nature hindered any useful observation from the growth intervals between 8 and 18 years of age, hence they were excluded. The use of digitizing and relative superimposition would have negated superimposition error, but the equipment was unavailable.
Many previous observations were not consistent with ACB superimpositions, which evolved as a convenience because the ACB was easier than PCB to visualize on cephalograms. It is clear that a more biologically valid reference such as I-point is needed, and that it should be more easily located as cephalometrics enters the three-dimensional (3D) age. From a clinical perspective, the anterior rotation of the jaws can be demonstrated directly without the use of implants by way of internal stable structures.12
,22
The Bjork implant method was able to demonstrate jaw rotation during growth by compensating for the biological masking of craniofacial growth, due to ACB superimposition.23
Figure 2
displays the disparity of airway growth and speech development associated with ACB superimposition. The expressed dorsal/caudad growth pattern of the mandible would constrict the airway, in conjunction with pharyngeal side bone apposition on the clivus,3
and compress the hyolaryngeal complex.17
Therefore, a growth pattern based on ACB superimposition is inconsistent with a physiologic progression of growth and development. Cranial rotation, airorhynchy (posterior and upper portions of the face rotate dorsally relative to the posterior cranial base by extension of the anterior cranial base relative to the posterior cranial base),17
,24
cephalad cranial growth (I-point reference), the expanding V-principal of mandibular growth13
and forward jaw rotation tend to increase the airway space, cause a relative descent of the hyolaryngeal complex (to allow speech development)17
and position the genial tubercles of the tongue ventrally. The present results demonstrate that the mandible and maxilla move ventrally to a greater degree with I-point, compared with SACB superimposition. I-point registration demonstrates a more biologically correct growth pattern.
Location of I-point is as reliable as other commonly used landmarks.12
The I-point reference method is a more biologically correct superimposition method, which demonstrates the jaw rotation observed by the implant reference method of Bjork.1
,25
I-point reference is consistent with the pubertal growth spurt in brain growth, continued enlargement of the occipital lobe up to 20 years of age,4
airorhynchy17
,24
and brain flexure.17
,20
Previously it was known that the brain temporal lobe grows for several more years following completion of the anterior lobe.13
This temporal lobe growth was believed to cause secondary displacement of the anterior lobes, driving facial growth. However, middle cranial fossa elongation nearly ceases by 10 years of age2
and the nasal septum as a conduit of force to the midface has been discounted.13
Asymmetric separation of the SOS26
is a problem for any model of downward and forward growth, as the separation rotates the ACB and midface up and forward as observed with the facial block and airorhynchy.17
,20
,24
The dural slings which cradle the brain and emerging cranial nerves tend to restrict bone growth that might compromise neurologic function.20
The dura (desmocranial capsule) connective tissue around the brain is anisotropic. At its base, it becomes thick, grows slowly and resists brain enlargement in the developing cranial base in contrast to the thinner less resistant calvarial region.15
This allows the cerebral hemispheres and to a lesser extent the cerebellar hemispheres, to expand more rapidly.15
It is this dural attachment that is thought to cause early restriction of lateral cranial expansion,6
,15
necessitating vertical displacement of the brain. The weight of the brain and the dural sling attachment restrict lateral displacement, but the cross-sectional arch form and brain expansion with growth prevent the lateral skull from imploding from tension in the dural slings.
The observed vertical growth complies with the apposition pattern at sella turcica observed by Enlow13
and the pubertal apposition on the anterior curvature of sella turcica observed by Melsen.3
,20
Significant growth of the head occurs between 5 and 20 years of age, when 2 inches of increased average head circumference is achieved, and between 10 and 20 years, an inch of growth occurs.27
It can be seen from our sample that the vertical component is probably greater than the circumferential.
Cranial rotation1
,5
and airorhynchy,17
in a pattern consistent with the fetal head unfolding associated with brain flexure,17
explains some previously opaque growth observations.20
For instance, when analyzed with implant radiographic markers the mesial surface of the maxillary first permanent molar in an adult is located ventral to the infrazygomatic crest. In comparison, the distal surface of the deciduous maxillary second molar lies dorsal to the crest in the absence of bone modelling.28
Also, the distance between the anterior nasal spine and the zygomatic process increases in the absence of pronounced resorption on the anterior zygomatic process (Figures 2
and 4
),28
,29
which may be attributable to cranial rotation.
Figure 5
illustrates a typical observation of mandibular rotation when superimposition is referenced at I-point/I-curve, and is more representative of the Bjork implant study observations.21
,22
,30
Articulare in Figures 2
and 6
display the patterns seen in Figure 5
. Notable is the condylar growth pattern observed with the I-point reference as shown in Figure 5
.
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Therefore, brain temporal lobe growth reflects a vertical component of brain growth, concomitant with asymmetric growth at the SOS,26
creates tension on the galea aponeurotica, which is transmitted through the craniofacial musculoaponeurotic system (CFMAS). This mechanism drives facial growth and associated rotations and is the essence of the aponeurotic tension model of craniofacial growth.12
,20
A more biologically correct reference and orientation, based upon the occipital condyle will lead to greater insight into cranial rotation relative to the synergistic development of muscle, connective tissue, airway, and mandibular position. The increased accuracy of landmark definition in 3D will allow craniofacial orientation that will be more consistent with influence of neural structures and development of bone trabecular patterns. In two-dimensional the occipital condyles are viewed in norma lateralis as midline structures. CBCT will allow triangulation of the right and left I-points to the superior aspect of the sphenooccipital synchondrosis. It is believed that the basioccipital portion anterior to the inter-occipital synchondrosis is most stable to modelling due to the higher pressure gradient; dorsal to the synchondrosis, the exo-occipital portion anecdotally, seems prone to modelling with age.
Referencing these basilar structures will allow detection of asymmetric growth patterns and the determination of therapeutic responses in all three planes of space. This will be particularly important for realistic assessment of hyperdivergent and hypodivergent rotational growth patterns; sella turcica movement is believed more ventral and less cephalad, relative to I-point, for hypodivergent individuals compared with hyperdivergent. It is believed that the present method will be applicable for accurate description of growth and therapeutic changes prior to the ACB achieving stability at about age 8–12 years (this stability is valid only for the ethmoid portion).2
,5
Thus, superimposition on I-point will be applicable to subjects of all ages. (Figure 6
– Notice the growth superior to inion).
This study displays a quantitative vertical component of brain growth that is consistent with observation in literature not observable with ACB superimposition.
The occipital condyle is a more physiologic superimposition reference for demonstrating the modelling and remodelling mechanisms of craniofacial growth.
| Conclusions |
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| Acknowledgments |
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| References |
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4 Giedd JN, Blumenthal J, Jeffries NO, et al. Brain development during childhood and adolescence: a longitudinal MRI study. Nature Neuroscience 1999; 2(10): 861–3.[CrossRef][Medline]
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8 Broadbent BH. The Fface of the normal child. Angle Orthod 1937; 7(4): 183–208.
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13 Enlow DH, Hans MG. Essentials of facial growth. Philadelphia, PA: Saunders, 1996.
14 Roberts WE, Roberts JA, Epkep BN, Burr DB, Hartsfield Jr JK. Remodeling of mineralized tissues, Part I: the Frost legacy. Semin Orthod 2006; 12(4): 216–37.[CrossRef]
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16 Moss ML. A theoretical analysis of the functional matrix. Acta Biotheor 1968; 18(1): 195–202.[CrossRef][Medline]
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28 Bjork A, Skieller V. Postnatal growth and development of the maxillary complex. In McNamara JA, Jr, et al. (eds.). Factors affecting the growth of the midface, Monograph No. 6 Craniofacial growth series. Ann Arbor: Center for Human Growth and Development, University of Michigan, 1976.
29 Bjork A, Skieller V. Growth of the maxilla in three dimensions as revealed radiographically by the implant method. Br J Orthod 1977; 4(2): 53–64.[Medline]
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32 Bastir M, Rosas A. Correlated variation between the lateral basicranium and the face: a geometric morphometric study in different human groups. Arch Oral Biol 2006; 51(9): 814–24.[CrossRef][Medline]
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