Cephalometric analysis (Tweed-Merrifield)
1. Introduction
The incidence of class III malocclusion among the western population is low, but in Japan and South Korea is high and since many patients don`t accept orthognatic surgery, a conservative/camouflage treatment is often necessary. The MEAW (multiloop edgewise arch wire) was developed in 1967 by Dr. Young H. Kim to correct open bite malocclusions and was found to be extremely effective. Further development of Meaw technique extends its application to treat any type of malocclusion, especially Class III malocclusion.
The MEAWs are constructed with 0.016 x 0.022stainless steel (bracket 0.018 inch slot) or 0.017x0.025 stainless steel (bracket 0.022– inch slot). The arches have ideal arch form with five loops on each side of the arch.
Prof. Sadao Sato developed the use of MEAW and introduced different concepts about the etiology of malocclusions. According to Sato genetics may not be the only reason to class III malocclusion, the posterior discrepancy may be the major contributing factor to class III malocclusion.
The degree of basicranial flexion differs in the various types of malocclusion. According to Hooper (1986) the spheno-basilar articulation is the most important among the cranial bones and it is where the movement of flexion-extension occurs. The cranial base angles (Na-S-Ar) comes to approximately 124,2 ° in class I patterns.
From this average value a more obtuse (extension) angle indicates skeletal Class II and a more acute (flexion) angle means skeletal Class III.The rotating movement of the cranial base (flexion/extension) occurs at the spheno-occipital articulation and it is transmitted to the maxilla through the Vomer. This dynamic mechanism has a great influence on the growth pattern of an individual during the growth period.
When the sphenoid makes flexion the rotating force of the vomer is postero-inferior and the maxilla is strongly pushed down. This causes vertical elongation of the maxillary complex, short anteroposterior dimension and posterior crowding. This is related to the development of a class III skeletal frame (Sato 2001).
The posterior discrepancy increases the probability of wisdom teeth impaction and once their impaction occurs a “squeezing-out “effect may occur, causing an over-eruption of the adjacent teeth, flatten the posterior occlusal plane and an increase in the posterior occlusal vertical dimension. The over-erupted molars produce occlusal interferences that act as a fulcrum causing a mandibular forward adaptation with subluxation of the mandibular condyles and active remodeling of the condylar cartilage. The result is a mandibular prognathism.
The skeletal Class III relationships may be due to a lack of sagital development of maxillary or mandibular overdevelopment, or a combination of both.
Skeletal class III malocclusion is usually characterized by a steep mandibular plane angle, obtuse gonial angle, a small cranial base angle which may displace the glenoid fossa anteriorely to cause a forward positioning of the mandible, flat occlusal plane, short antero posterior diameter of the maxilla, increased vertical growth of the maxilla, labial tipping of the maxillary teeth, lingual tipping of the mandibular teeth.
In adults patients,without growing ability, orthognatic surgery is indicated for severe skeletal class III malocclusion, but moderate class III cases (borderline cases) can be treated orthodontically if the patients refuse surgery. The MEAW is often used in skeletal class III treatment without orthognatic surgery or extraction of intermediate teeth.
The objectives of the treatment are: a) to eliminate posterior discrepancy, b) to intrude the posterior teeth and to upright them, c) reconstruction the occlusal plane (steepning the occlusal plane) which induces mandibular backward adaption. The entire lower dentition is moved distally and uprighted using a MEAW with short class III elastics after extraction of the third molars. The skeletal features of the class III malocclusions are closely related to the deviation in the vertical aspect of the occlusion. According to this correcting the occlusal plane by controlling the vertical dimension is extremely important in the treatment of class III malocclusion.
To eliminate the posterior discrepancy, the upper and lower third molars should be extracted prior to the onset of treatment. The upper second molars can be extracted, if the patient is young and if the the upper third molars have quality in terms of size, shape and direction of eruption. This approach will allow steepen the occlusal plane with the elimination of the “squeezing-out effect “at the upper molars. The treatment mechanics use tip back bend activations of the MEAW and vertical or short class III elastics (3/16 inch – 6 oz) on the anterior teeth.
The steps of treatment of the class III malocclusion are: a) Levelling, b) elimination of occlusal interference,,c) establishing mandibular position d) reconstruction of the occlusal plane, e) achieving a physiological occlusion.
Sassouni and Nanda (1964) proved the vertical disproportion were, in many cases, at the origin of anteroposterior dysplasias. Therefore, treatment strategies should focus on vertical control in order to correct anteroposterior disharmony.
Angle(1899) – The class III malocclusion occurred when lower teeth occluded mesial to their normal relationship by the width of one premolar or even more in extreme cases.The class III can be defined as a skeletal facial deformity characterized by a forward mandibular position with respect to the cranial base and/or maxilla.
2. The etiology of class III malocclusion
Genetics-an example is the famous mandibular prognathism of Habsburg family.
Syndromes
Crouzon syndrome
Acromegaly
Gorlin and Goltz syndrome Hypertrophy
Cleido cranial dysplasia
Achondroplasia
Environmental factors-ex : thyroid deficiency cause large tongue, causing mandibular prognathism
Functional factors
Naso-respiratory diseases and enlarged tonsils
Mental diseases-compulsive habits of protruding the mandible
Posterior crowding – “The posterior squeezing out effect “
3. Classification of class III malocclusion
Moyers classified the class III malocclusion according the cause: osseous; muscular; dental.According to him, it was necessary to determine whether the mandible on closure was in centric relation or “convenient” anterior position.
In 1966 Charles Tweed divided class III malocclusion in pseudoclass III and skeletal class III. Tweed also divided the class III onto two distinct categories : The category A-the FMA ranges between 10° and 22°,with a large mandible ; underdeveloped maxilla and a ANB between 7° to 10° and the category B – FMA ranges between 30° to 50° with an obtuse gonial angle and a lower lip overactive.
The characteristics of Pseudoclass III are the following: normal mandible and underdeveloped maxilla, concave straight profile, skeletal pattern is class I, normal gonial angle and the retrusion of the mandible is possible.
The skeletal class III discrepancy may be the result of a large mandible, a small maxilla, a distally positioned maxilla or a combination of the three. Vertically the class III can be divided in high angle, average and low angle.
The class III subdivision is characterized by a class I molar relation on one side and a class III on the other side.
4. The differential diagnosis of skeletal class III malocclusion
The diagnostic criteria for pseudo class III according to Rabie and Yan Gu (AJODO 2000) is the following : a) 72 % showed no family history; b) molar class I in CR and class III at habitual occlusion ; c)decreased midface length ; d) forward mandibular position with normal length ; e) retroclined upper incisors with normal lower incisors; f) presence of mandibular anterior sliding into a edge-to-edge or crossbite relationship due to premature tooth contact (with CO–CR discrepancy), absence of skeletal signs of class III malocclusion. The differential diagnosis of skeletal class III malocclusion with skeletal class I include the following differences:
In class III the SNA is lower
The SNB is greater in class III
The mean ANB angle in class III is negative
The gonial angle is more open in class III
The lower anterior facial height is increased
Cranial base angle is smaller in class III patients
The dentoalveolar class III malocclusion present a normal ANB angle and a lingual tipping of upper incisors and labial tipping of lower incisors. The skeletal class III malocclusion show a maxillary retrusion or mandibular protrusion, or both with negative ANB, increased mandibular length, increased gonial angle, labial tipping of upper incisors and lingual tipping of lower incisors.
There are three important diagnostic principles of class III such as:
To determine whether the mandible on closure is in centric relation or in a “convenient “ anterior position
Identify the nature of skeletal discrepancy
To evaluate the potential growth and development of a patient with a class III malocclusion
5. Treatment of pseudo class III malocclusion
The ideal age to treat pseudo class III is between 6 to 9 years, because treating the pseudo class III during the mixed dentition has some advantages such as : the stability of correction is better, prevent unfavourable growth of skeletal frame,prevent deleterious habits.There are many options to treat the pseudo class III malocclusion such as : equilibration of occlusion, bionator appliance, fixed appliance, acrylic crowns, acrylic inclined planes, functional appliance therapy, and orthopaedic appliances.
6. Treatment of skeletal class III malocclusiom in growing patients
During the primary, mixed and permanent dentition the growth is present and the treatment is different from when the growth is finished. The first step is to distinguish if the class III is due to maxillary undergrowth, mandibular overgrowth or both or a skeletal class I with anterior cross bite. When the class III is due to mandibular overgrowth the options of treatment are : chin cap therapy, reverse class III activator (to produce retrusive force on the mandible), low or high pull head gear (HPHG) to control posterior eruption.
When class III is due to maxillary undergrowth and/or retrognatic maxillary with a orthognatic mandible, it is necessary to promote the growth and protact the maxillary using a face mask (Delaire or Petit) or a functional appliance therapy (activator or Frankel III regulator).
7. Treatment of skeletal class III malocclusion in non growing patients
The treatment of class III in adults and non growing patients can be a surgical treatment or a camouflage treatment. When a non growing patient is diagnosed as a class III malocclusion and has a strong skeletal component, the treatment of choice is usually orthodontic/orthognatic surgery. After determined that the surgery will be necessary the surgeon usually waits until the growth is finished. Maxillary growth may be completed at age 14-15 years, but mandibular growth may continue until 20 years. Then the orthodontist will decompensate the incisors and after that the surgery will be done.
8. Camouflage treatment of class III malocclusion
Beyond the adolescent growth spurt, to correct a mild skeletal class III, teeth must be displaced relative to their supporting bone to mask the underlying class III discrepancy by dental compensation. This is termed camouflage treatment. A patient with class III malocclusion, with the growth completed, a slight skeletal class III, acceptable alignment of teeth and acceptable facial proportions is a good candidate for a camouflage treatment. Since 1967 the MEAW technique has proved to be an effective treatment camouflage and a non-surgical treatment of class III malocclusion. The extraction theraphy of premolars may have limited applicability in class III treatment, for example extractions in the lower arch will increase the lingual inclination of the incisors which were already inclined. Another contraindication to extract is the cases that combine orthodontics and surgery.
9. Non-surgical treatment of class III with multiloop edgewise archwire(MEAW) therapy
Many times during the diagnosis process the etiology of the malocclusion and the mechanism of its development are depreciated. The cephalometric analysis doesn`t clearly shows the cause of malocclusion, it only localizes the site of skeletal malocclusion and shows the degree of deviation. This means that current orthodontics many times identifies and treats symptoms rather than aiming the cause. Hence there is a need for the insertion of a new treatment philosophy based on the function rather than esthetic needs of the patient. It is necessary to understand the dynamic mechanism of development of malocclusion and to know the treatment technique for orthodontic occlusal reconstruction.
9.1. The dynamic mechanism of the development of class III malocclusion
During the human evolution the cranial base was modified with the bipedalism and erect posture, producing a flexion of the cranial base and a displacement of the foramen occipitale magnum from one end to the middle of the skull. The result of this displacement, is a vertical growth pattern rather than horizontal. The degree of basicranial flexion is different according to the type of malocclusion. Thus a cranial base angle (Na-S-Ar) about 124,2 degrees is characteristic of class I pattern. When the angle is closed to 130 degrees (extension of cranial base) indicates a class II malocclusion and a more acute angle closer to 120 degrees (flexion) indicates a skeletal class III. If more severe is the class III pattern, more pronounced is the flexion of the cranial base and greater is the tendency of vertical growth. Thus the vertical component of class III malocclusion is very important, contrary to be considered just a sagital problem. According to this the use of chin cap, long class III elastics, premolar extraction, surgery are treatment approaches of skeletal class III malocclusion in the sagital direction, neglecting the vertical component. When the angle of cranial base presents a flexion, the rotating movement occurs at the spheno-occipital synchondrosis and it is transmitted to the maxillary through the vomer. This dynamic mechanism affects the growth pattern of the growing patients. With the flexion of the sphenoid, the rotating force of the vomer is posteroinferior and the maxillary is pushed dowm. This produce vertical elongation, undersized sagital dimension and posterior crowding of the maxillary. The lack of maxillary translation creates a deficit of space in the tuberosity, and a posterior crowding, that causes the “squeezing out effect “. The squeezing out effect is an over-eruption of the molars and modifies the inclination of the occlusal plane, making it flatter. Once the over-eruption of the molars occurs, then occlusal interferences appear and in order to avoid them, the mandible adapts forward.This mandibular forward movement, produces a distraction of the mandibular condyles and active reformulation of the condylar cartilage, resulting in mandibular prognathism.
9.2. General characterization of class III malocclusion
The class III malocclusion has the following characteristics:
Increased vertical dimension
short maxillary length
posterior crowding
Increased FH-MP angle
Labial tipping of maxillary teeth
lower anterior teeth are inclined lingually (dento-alveolar compensation)
ANB angle is negative
flexion of the cranial base
Skeletal frame is class III (APDI is more than 85)
9.3. Non-surgical treatment of class III malocclusion
It is very important to understand the dynamic mechanism of the development of class III malocclusion to establish a correct treatment plan. In the development of class III malocclusion the key point is the molar over-eruption (due to the posterior crowding) which is responsible for the flatness of the upper posterior occlusal plane.The upper posterior flat occlusal plane produces a forward mandibular adaptation. According to this there are two significant goals to attain with the treatement of class III:
Elimination of the posterior crowding
To Rebuilt the occlusal plane (to steepen the upper posterior occlusal plane)
The posterior crowding is usually solved, by extraction of third molars prior to the onset of the treatment. The upper second molars can be extracted if the patient is young and the third molars are too high in the tuberosity. Before the decision to extract the upper second molars, the third molars should be radiographically evaluated to check if they have correct size and shape as well as appropriate position and inclination to erupt properly, replacing the extracted second molars. Another significant goal to attain with the treatment of class III is the reconstruction of the occlusal plane, because the class III malocclusion requires a steeper occlusal plane for backward adaptation of the mandible. The tip back bends of the MEAW correct the premolars and molars to an upright position and intrude the molars. The correct treatment mechanics used are progressive tip back bends activations of 3° to 5° from the premolars teeth to molar area along with short class III elastics 3/16 inch, 6 oz) on the anterior teeth.
9.3.1. treatment steps of class III malocclusion
Levelling
Elimination of occlusal interferences
Establishig mandibular position
Occlusal plane reconstruction
Obtain a physiologic occlusion
The arches have ideal arch form with five loops on each side of the arch.
10. Case report 1
Patient female 13 years old and 3 months of age, with skeletal class III and dental class III on a normodivergent face pattern, mandibular prognathism, overbite (0 mm), overjet (0 mm), flat occlusal plane in the upper molar area producing interference in the posterior area. The patient began the treatment with 13 years old and 3 months and the duration of the treatment was 18 months. The type of appliance was an edgewise multi-bracket 0,022x0,028 slot, 0° torque, 0° angulation and MEAWs arch wires. The appliance was removed in January 2013 (14Y+11M).
The purpose of the treatment for this patient with class III malocclusion was to provide a steep occlusal plane in order to achive a posterior adaptative repositioning of the mandible, to correct the crowding and improve the occlusion by uprighting and alignment the dentition. First the impacted upper and lower third molars should be removed, but she refused. It was explained to the patient and the parents, that without the extractions the probability of relapse was high. It was then accepted to extract the teeth later, after the end of treatment.During the last control visit (one year after the end of treatment) the patient was informed that she should extract the third molars and she agreed.
The steps of the treatment:
a-Leveling; b-Elimination of occlusal interferences ; c-Establishing mandibular position ; d-Reconstruction of the occlusal plane; e-Achieving a physiological occlusion.
Step one-Levelling – The levelling was performed using 0.016 SS wire arches.
Step two-Elimination of occlusal interferences-0,017x0,025 multiloop edgewise archs wire (MEAW) were incorporated in both dental arches. The alignment and intrusion began through progressive tipback of 3° to 5°,from premolars to the molar area along with the use of short class III (3/16 inch, 6oz) elastics on both sides.
Step three-Establishing mandibular position: At the end of this phase the molar occlusion was in class one.
Step four/five-Reconstruction of the occlusal plane and achieving a physiological occlusion: In this step the tipback in molar area was removed and the occlusal plane in the molar area was steepen. A stable occlusion was obtained after 18 months of treatment the retention phase was done with maxillary Hawley plate for night time use (6months) and bonded lingual wire from 33 to 43.
Post-treatment results show an improved profile, occlusion and a pleasant smile. The intra-oral photos show a class I molar relationship and a correct overbite and overjet. The mandibular superposition shows a slight mandibular posterior shift.
|
|
|
|
|
FMIA | 67º+- 3 | 71 | 77 | 75 |
FMA | 25º+- 3 | 27 | 28 | 28 |
IMPA | 88º+- 3 | 82 | 75 | 77 |
SNA | 82º+- 2 | 85 | 86 | 86 |
SNB | 80º+- 2 | 85 | 84 | 84 |
ANB | 2º-+ 2 | 0 | 2 | 2 |
Ao-Bo | 2mm | -2mm | 3mm | 3mm |
OP | 10º-14º | 6 | 5 | 5 |
Z | 75º+-5 | 91 | 88 | 88 |
PFH | 45mm | 45 | 46 | 46 |
AFH | 65mm | 62 | 64 | 66 |
INDEX | 0,69 | 0,73 | 0,72 | 0,70 |
|
|
|
||||
ODI | MP/AB 60 | 60 | 60 | 60 | 60 | 60 |
FH/PP 0 | 0 | 0 | ||||
APDI | HF/FP 95 | 93 | 94 | 87 | 92 | 87 |
FP/AB -02 | -05 | -05 | ||||
HF/PP 0 | -2 | 0 | ||||
CF | ODI+APDI | 153 | 147 | 147 |
11. Case Report 2
Patient female (15 years old/10 months), with skeletal class III (ANB-2°, APDI 91)and dental class III on a hypodivergent face pattern (FMA 22°), mandibular prognathism, open bite tendency (ODI 55); overjet (0 mm), flat occlusal plane in the molar area producing interference in the posterior area.
The z angle of 85° confirms an unbalanced face which is based on a prognathic chin.
According to Kym’s analysis, the ODI (55°) indicates a openbite skeletal pattern. The APDI (91°).indicates a class III skeletal pattern and the CF (combination factor of 146) indicates a skeletal pattern requiring extraction of permanent teeth (third molars). The posterior crowding was solved by extraction of third lower molars and upper second molars prior to the onset of the treatment. The upper second molars were extracted because the third molars were too high in the tuberosity. Before the decision to extract the upper second molars, the third molars were radiographically evaluated to check if they had correct size and shape as well as appropriate position and inclination to erupt properly, replacing the second molars.
Treatment began with age (15/10), 0.016 ss arch wires were inserted for levelling and alignment of both dental arches.
After 2 months, the use of MEAW and short class III elastics (3/16 inch, 6 oz) started. The elastics were used 24 hours per day and were removed only for brushing the teeth and to eat. The correct treatment mechanic used was progressive tip back bends activations of 3° to 5° from the premolars teeth to molar area along with short class III elastics (3/16 inch, 6 oz) on the anterior teeth.
This treatment lasted 18 months. At the end of the treatment, the maxillofacial disharmony and the profile were improved. The patient displayed a pleasant smile, a normal canine and molar class I relationship, the overbite and overjet were corrected.
The lower incisors were lingually tipped (IMPA 85°) and the lower molars were moved distally.
|
|
|
|
|
FMIA | 67º+- 3 | 68 | 74 | 74 |
FMA | 25º+- 3 | 22 | 21 | 22 |
IMPA | 88º+- 3 | 90 | 85 | 84 |
SNA | 82º+- 2 | 73 | 75 | 75 |
SNB | 80º+- 2 | 75 | 74 | 74 |
ANB | 2º-+ 2 | -2 | 1 | 1 |
Ao-Bo | 2mm | -7mm | -2mm | -2mm |
OP | 10º-14º | 3 | 3 | 3 |
Z | 75º+-5 | 85 | 80 | 81 |
PFH | 45mm | |||
AFH | 65mm | |||
INDEX | 0,69 |
The general superimposition shows that the entire lower dental arch was moved distally and uprighted.
The final ODI of 63° show that the vertical aspect of the occlusion (open bite tendency) was improved. This case shows a successful orthodontic treatment of a skeletal class III malocclusion, eliminating the posterior crowding and reconstructing the occlusal plane using the MEAW technique.
|
|
|
||||
ODI | MP/AB 60 | 55 | 67 | 63 | 67 | 63 |
FH/PP -5 | -4 | -4 | ||||
APDI | HF/FP 92 | 91 | 92 | 90 | 92 | 90 |
FP/AB 4 | 2 | 2 | ||||
HF/PP -5 | -4 | -4 | ||||
CF | ODI+APDI | 146 | 153 | 153 |
12. Conclusion
The MEAW technique proved to be effective in the treatment of class III malocclusion. The MEAW is a valid alternative in the treatment of class III malocclusion, when patients refuse surgery and when the disharmony of the skeletal structure is not harsh. The MEAW used correctly can properly reconstruct the occlusal plane, allowing toachieve a correct and stable occlusion, improving the profil and facial balance.
References
- 1.
Beltrão Paulo (2011 Treatment of class II deep Overbite with multiloop edgewise arch-wire(MEAW) therapy; Principles in contemporary orthodontics (Edited by Silvano Naretto),IntechBeltrão, Paulo (2011) Treatment of class II deep Overbite with multiloop edgewise arch-wire(MEAW) therapy; Principles in contemporary orthodontics (Edited by Silvano Naretto),Intech - 2.
Dawson P. E 1989 Evaluation, diagnosis and treatment of occlusal problems, Dawson,P.E. (ed),The C.V. Mosby companyDawson,P.E.(1989) Evaluation, diagnosis and treatment of occlusal problems, Dawson,P.E.(ed), The C.V. Mosby company - 3.
Fushima K ; Kitamura,Y; Mita,H ; Sato,S; Kim,Y (1996 The significance of the cant of occlusal plane in class II/1 malocclusion.European journal of orthodontics ,18 27 40 Fushima, K ; Kitamura,Y; Mita,H ; Sato,S; Kim,Y (1996).The significance of the cant of occlusal plane in class II/1 malocclusion. European journal of orthodontics , 18,27-40 - 4.
Hyun-Sook Kim Seon-Young Kim (2004 Compensatory changes of a occlusal plane angles in relation to a skeletal factors;Korea journal of orthodontics :34 3 229 40 Hyun-Sook Kim,Seon-Young Kim (2004).Compensatory changes of a occlusal plane angles in relation to a skeletal factors; Korea journal of orthodontics :34 (3) :229-40 - 5.
Kim Y. H 1979 ODI/APDI combination factor, Angle orthodontics,49 77 84 Kim, YH,(1979),ODI/APDI combination factor, Angle orthodontics,49:77-84 - 6.
Kim Y. H 1999 Treatment of anterior openbite and deepbite malocclusions with MEAW therapy; The enigma of vertical dimension-craniofacial growth series36 Ann Arbor (edited by James McNamara Jr): center for Human growth and development-University of MichiganKim, YH;(1999);Treatment of anterior openbite and deepbite malocclusions with MEAW therapy; The enigma of vertical dimension-craniofacial growth series vol 36 Ann Arbor (edited by James McNamara Jr): center for Human growth and development-University of Michigan - 7.
Knierim R. W 1999 diagnosis of openbite and deepbite problems: a clinician`s perspective on the Kim approach; ; The enigma of vertical dimension-craniofacial growth series36 Ann Arbor (edited by James McNamara Jr): center for Human growth and development-Univ.MichiganKnierim, RW (1999).diagnosis of openbite and deepbite problems: a clinician`s perspective on the Kim approach; ; The enigma of vertical dimension-craniofacial growth series vol 36 Ann Arbor (edited by James McNamara Jr): center for Human growth and development-Univ.Michigan - 8.
jr and Carlson,D.S. (Mc Namara J. A 1979 Quantitative analysis of temporomandibular joint adaptations to protrusive function; American journal of orthodontics,76 593 611 Mc Namara,J.A. jr and Carlson,D.S. (1979)Quantitative analysis of temporomandibular joint adaptations to protrusive function; American journal of orthodontics,76,593-611 - 9.
Merrifield L. L 1966 The profile line as an aid to critical evaluation of facial esthetics; American journal of orthodontics,804 822 Merrifield,LL.(1966)The profile line as an aid to critical evaluation of facial esthetics; American journal of orthodontics,804-822 - 10.
Ortial J. P 1989 Les modifications faciales par l`orthodontie, journal de l`edgewise,20 Ortial,J.P(1989),Les modifications faciales par l`orthodontie, journal de l`edgewise, vol.20,53-86 - 11.
andPetrovic A. G Stutzaman J 1975 Control process in the postnatal growth of the condylar cartilage,in McNamara J.A.jr,ed.determinants of mandibular growth,monograph 4:craniofacial growth series,Ann Arbor-Center for Human growth and development,University of MichiganPetrovic,A.G. and Stutzaman,J.(1975) Control process in the postnatal growth of the condylar cartilage,in McNamara J.A.jr,ed.determinants of mandibular growth,monograph 4:craniofacial growth series,Ann Arbor-Center for Human growth and development,University of Michigan - 12.
Sassouni V 1969 A classification of skeletal facial types,AJODO,55 109 123 Sassouni,V,(1969)A classification of skeletal facial types,AJODO,55,109-123 - 13.
Sato Sadao (1994 Case report: developmental characterization of skeletal class III malocclusion,the Angle orthodontics,64 n°2-1994Sato, Sadao (1994)-Case report: developmental characterization of skeletal class III malocclusion,the Angle orthodontics, vol.64,n°2-1994 - 14.
Sato Sadao; Akimoto (2007 Development and orthodontic treatment of skeletal class III malocclusion without surgical intervention, The bulletin of kanagawa dental college,35 n°1, March 2007Sato,Sadao; Akimoto (2007)-Development and orthodontic treatment of skeletal class III malocclusion without surgical intervention, The bulletin of kanagawa dental college,vol,35,n°1, March 2007 - 15.
Sato Sadao(2001 A treatment approach to malocclusions under the consideration of craniofacial dynamics,Grace printing press, incSato, Sadao(2001) –A treatment approach to malocclusions under the consideration of craniofacial dynamics,Grace printing press, inc - 16.
Sato Sadao (2008 orthodontic marathon course at Kanagawa dental college-JapanSato,Sadao (2008),orthodontic marathon course at Kanagawa dental college-Japan