MATHEMATICAL MODELING OF TELEROENTGENOGRAPHIC PARAMETERS ACCORDING TO THE METHOD OF SCHWARZ A. M. DEPENDING ON THE BASIC CEPHALOMETRIC PARAMETERS IN UKRAINIAN YOUNG MEN AND YOUNG WOMEN WITH DIFFERENT FACE TYPES

2021 ◽  
Vol 74 (6) ◽  
pp. 1488-1492
Author(s):  
Аlla V. Маrchenko ◽  
Oleksandr S. Prokopenko ◽  
Іryna V. Dzevulska ◽  
Tatyana R. Zakalata ◽  
Igor V. Gunas

The aim: Is development and analysis of regression models of teleroentgenographic indices according to Schwarz A. M., which can be adjusted during surgery depending on the parameters that usually do not change in Ukrainian young men and young women with with normal occlusion close to orthognathic occlusion and different facial types. Materials and methods: Teleroentgenographic indices were obtained using a dental cone-beam tomograph Veraviewepocs 3D Morita and studied in 49 young men and 76 young women with normal occlusion close to orthognathic. Persons were divided into groups with different face types according to the recommendations of Schwarz A. M. In the license package “Statistica 6.0”, regression models of teleroentgenographic indices were built according to Schwarz A. M. Results: For young men with orthognathic occlusion and with different types of faces according to Schwarz A. M. constructed 10 of 27 possible reliable regression models of the group of teleroentgenographic indicators, which can be corrected during surgical, orthopedic interventions in dentistry depending on the group of basic, invariable cephalometric indicators greater than 0.6 (R2 = from 0.609 to 0.996); and in young women with different face types, 8 of the 27 possible reliable regression models in which the coefficient of determination is greater than 0.6 (R2 = from 0.642 to 0.986). Conclusions: The developed regression models provide the most individualized approach in determining the method and scope of the required dental intervention.

2021 ◽  
pp. 95-101
Author(s):  
O.S. Prokopenko

For Ukrainian young men and young women with different facial profiles according to Schwarz A. M. with normal occlusion close to orthognathic occlusion and a harmonious face, regression models of teleroentgenographic parameters, which can be corrected during surgery (2 group of indicators) depending on the parameters that usually do not change (1 group of indicators) were constructed and analyzed. In young men, 10 of 27 possible reliable regression models with a coefficient of determination greater than 0.6 (R2 = from 0,642 to 0,995) were constructed, and in young women – 13 models from 27 possible (R2 = from 0,619 to 0,956). Both for young men and young women, the most models of indicators of the second group are built for linear dimensions – both young men and young women have 7 models from 9 possible each. The constructed regression equations of teleroentgenographic indicators included into the second group according to the Schwarz A. M. method the most often comprise the following indicators of the first group: in young men – ar-Go distances according to Burstone C. J., N-CC according to Ricketts R. M., N-Se according to Schwarz A. M. and indicator N-S:S-Ar' according to Bjork A.; in young women – indicator S-ar:ar-Go according to Jarabak J. R., distances N-S according to Jarabak J. R. and ar-Go according to Burstone C. J. and angle POr-NBa according to Ricketts R. M.


2021 ◽  
Vol 25 (2) ◽  
pp. 238-246
Author(s):  
I. Yu. Drachevska

Annotation. Anomalies of the dental-jaw system are one of the most difficult challenges of modern orthodontics, and accordingly require the use of modern and evidence-based therapy. To predict the results of treatment and proper planning of orthodontic interventions, a reliable tool in the hands of an orthodontist is cephalometric analysis by the Ricketts method. An important step in the successful implementation of this method of analysis is to conduct a study taking into account ethnicity, age, sex and the influence of facial type on teleradiographic indicators calculated by this method. The aim of the study is to build and analyze regression models of teleradiographic indicators used in the Ricketts method for Ukrainian young men and young women with orthognathic occlusion with different face types. Ricketts teleradiography was performed for 49 young men and 76 young women with orthognathic occlusion. Cephalometric analysis was performed using OnyxCeph³™ software, 3DPro version, Image Instruments GmbH, Germany (software license URSQ-1799). The division into facial types was performed by determining the morphological index of Garson. All indicators were divided into three groups: the first group included the main cephalometric points and measurements used in modern cephalometric analyzes Schwartz, Ricketts, Steiner, Roth-Jarabak, Burstone and Bjork and are parameters that usually do not change during surgery and orthodontic treatment; to the second group – metric dental-jaw characteristics by the Ricketts method by which surgical methods can change the length, width, angles and position of the jaws; to the third group – indicators according to the Ricketts method which characterize the position of each individual tooth relative to each other, cranial structures and the profile of the soft tissues of the face. Regression models of individual teleradiographic indicators are built using the license package "Statistica 6.0". Only reliable models with a coefficient of determination higher than 0.6 were subject to analysis. Of the 13 possible facial features, 9 models of teleradiographic indicators (R² = from 0.691 to 0.834) were included to the second group, depending on the indicators of the first group, and 9 (R² = from 0.640 to 0.910) of the 15 possible models of indicators were included to the third group depending on the indicators of the first and second groups. In young men with a wide type of face, the constructed models of indicators included to the second group, depending on the indicators of the first group, most often include the distance Ar-Go (20.7 %), angle POr-NBa (13.8 %), distances N-S and S-E and the ratio N-S:S-Ar' (10.3 % each); and to the models of indicators included in the third group depending on the indicators of the first and second groups – the angle N-CF-A (12.8 %), the distance Ar-Go (10.3 %), the distances N-CC and A-NPog and angle ANS- Xi-Pm, POr-ANSPNS and DC-Xi-Pm (7.7 % each). In young women with a very wide type of face out of 13 possible built only 2 models of teleradiographic indicators (R² = 0.691 and 0.834) which were included to the second group depending on the indicators of the first group and 5 (R² = from 0.628 to 0.919) of 15 possible models of indicators which entered the third group depending on the indicators of the first and second groups. In young women with a very wide type of face, the constructed models of indicators included in the third group, depending on the indicators of the first and second groups, most often include the distance Xi-Pm (18.2 %), as well as the distance P-PTV and angles MeGo-NPog and POr-CFXi (9.1 % each). In young women with a wide type of face from 13 possible 5 models of teleradiographic indicators (R² = from 0.606 to 0.854) which were included in the second group depending on indicators of the first group and 7 (R² = from 0.607 to 0.888) from 15 possible models of indicators which were entered to the third group depending on the indicators of the first and second groups. In young women with a wide type of face, the constructed models of indicators included in the second group, depending on the indicators of the first group, most often include the distance Ar-Go (28.6 %) and the angle POr-NBa and the ratio S-ar:ar-Go (14.3 %), and to the models of indicators included in the third group depending on the indicators of the first and second groups – the distances A-NPog and Xi-Pm and the angle NBa-PtG (10.3 % each).


2021 ◽  
Vol 27 (3) ◽  
pp. 35-41
Author(s):  
V.V. Vakhovskyi ◽  
М.М. Shinkaruk-Dykovytska ◽  
V.H. Chaika ◽  
O.O. Likhitskyi ◽  
V.V. Yasko

Obtaining orthognathic occlusion in a patient as a result of treatment is a key goal of any orthodontist. However, the thorny path that both the patient and the doctor must go through involves painstaking work, which primarily begins with planning and choosing a method of orthodontic treatment, predicting and modeling its results. However, the latter is possible only if previously conducted research to determine the normative indicators for a population. The aim of the study was to construct and analyze regression models of teleradiographic parameters according to the Jarabak method in Ukrainian young men and young women with orthognathic occlusion. 49 young men and 76 young women with orthognathic occlusion underwent cephalometric analysis of lateral radiographs according to the modification of the method Jarabak J. R. – Roth-Jarabak, performed using the software OnyxCeph³™. All parameters according to the Jarabak method were divided into three groups: the first group included metric characteristics of the skull, which are used as baseline indicators; to the second group – dental-jaw in which the skeleton has already been formed and which surgical methods can change the length, width, angles and positions of the upper and lower jaws; to the third group – indicators that characterize the position of each individual tooth relative to each other, cranial structures and the profile of the soft tissues of the face. Construction of regression models of teleradiographic indicators by the Jarabak method was performed in the licensed package “Statistica 6.0” using step-by-step regression analysis. When modeling teleradiographic parameters according to the Jarabak method, which were included in the second group, depending on the indicators of the first group in young men with orthognathic occlusion, 8 out of 19 possible reliable regression models with a coefficient of determination greater than 0.5 (R2= from 0.589 to 0.950) were constructed. The constructed equations most often include the value of the angle N-S-Ar and the distances Ar-Go and N-S. In young women with orthognathic occlusion, 6 reliable regression models of the second group were constructed depending on the indicators of the first group (R2= from 0.609 to 0.971). The constructed equations most often include the value of the distances Ar-Go, S-Ar, N-S and the angle N-S-Ar. When modeling teleradiographic indicators included in the third group, depending on the indicators of the first and second groups in young men, 5 out of 8 possible reliable regression models with a coefficient of determination greater than 0.5 (R2= from 0.658 to 0.751) were constructed. The constructed equations most often include the values of the angles N-A-Pog, N-Go-Gn, S-N-B and A-N-B. In young women with orthognathic occlusion, 6 reliable regression models of the third group were constructed depending on the indicators of the first and second groups (R2= from 0.509 to 0.772). The constructed regression equations most often include the value of the angles N-A-Pog, A-N-B, S-Ar-Go, S-N-A and the ratio Go_Me:N-S. The obtained models will allow orthodontists to automatically calculate the required cephalometric parameters.


Author(s):  
A. V. Chernysh

It is proved that in the analysis of lateral teleroentgenograms according to different methods distances and angles have their normative indices which differ for persons of different ethnic, gender and age belongings. Therefore, for a full use in the orthodontics R.M. Ricketts method, similar studies are needed in Ukraine. The purpose of the work – in young men and women  with normal occlusion close to the orthognathic bite and harmonious face construct and analyze the regression models of teleroentgenographic indicators used in the method of R. M. Ricketts. Primary lateral teleroentgenograms of 38 young men (aged 17-21 years) and 55 young women (aged from 16 to 20 years) with normal occlusion close to orthognathic bite and harmonic face, obtained from the Veraviewepocs 3D device, Morita (Japan), taken from the bank data of research center of National Pirogov Memorial Medical University, Vinnytsya. Cephalometric measurements were performed according to the recommendations of R. M. Ricketts. All indicators were divided into three groups: 1 - metric characteristics of the skull, which usually do not change during surgical and orthodontic treatment; 2 – tooth-jaw indicators, the definition of which most often guided by performing orthodontic manipulations of patients in children and adolescents, as well as those with already formed bone skeleton when orthodontic surgery can change the width, length, angles and position of the bones of the upper and lower jaws; 3 - indicators that characterize the position of each individual tooth relative to each other, to the bony cranial structures and face profile. The regression models of individual teleroentgenographic indicators used in the R.M. Ricketts methodology are constructed using the “Statistica 6.0” licensing package. Constructed all 2 reliable models of the indicators included in the second group (distance Go-CF and Xi-Pm), depending on the indicators of the first group (in young men R2 = 0.884 and 0.928, and in young women - 0.735 and 0.719); as well as in young men, 7 out of 8 possible reliable models (R2 = from 0.568 to 0.887) of the indicators included in the third group (the magnitude of the distances 6u-6l, Overjet, Overbite, 6u-PTV, 1l-APog, 1u-APog and Xi-OcP ) depending on the indicators of the first and second groups; and only 5 models for young women (6u-PTV, 1l-APog, 1u-APog and Xi-OcP distances, and the magnitude of the Max1-APog angle). In the analysis of entering into the regression models of the relevant predictors, it was found that in young men, among the teleroentgenographic indicators of the first group included in the two models of the second group, is the distance P-PTV, and in young women the front length of the base of the skull N-CC and the back of the skull base Ar- Pt It was also found that among young men among the teleroentgenographic indicators of the first and second groups, which were included in the models of the third group, the most frequent is the value of the distance B-Pog (11.1%); while in young women - distance B-Pog (15.6%) and an angle DC-Xi-PM (9.4%).


2021 ◽  
Vol 25 (3) ◽  
pp. 376-380
Author(s):  
V. V. Vakhovskyi

Annotation. The ability to predict the values of certain teleradiographic indicators and their correlations for young people in need of dental care is a promising area of research. The data obtained will be able to more accurately help doctors build a treatment plan. The aim of the study was to build and analyze regression models of teleradiographic parameters according to the Bjork method in young men and young women with orthognathic occlusion. Cephalometric analysis of lateral teleradiograms (49 young men and 76 young women with orthognathic occlusion) according to the modification of the Bjork A. – CFT-Bjork method, performed using OnyxCeph³™ software, 3DPro version, from Image Instruments GmbH, Germany. Cephalometric parameters were divided into three groups: the first – metric characteristics of the skull, which are used as baseline indicators; the second – indicators of the upper and lower jaws; third – indicators that characterize the position of the teeth relative to each other, cranial structures and the profile of the soft tissues of the face. Regression models of teleradiographic indicators by the Bjork method are built in the license package “Statistica 6.0”. When modeling teleradiography indicators according to the Bjork method, which were included in the second group, depending on the indicators of the first group in young men with orthognathic occlusion, 9 out of 13 possible reliable regression models with a coefficient of determination greater than 0.5 (R2 = from 0.528 to 0.775) were constructed. The constructed regression equations most often include the value of the angles S-N-Pog, NSL/NL, NSL/ML, NL/ML, A-N-Pog, S-N-B and the distance Ii-Is. In young women with orthognathic occlusion, 7 reliable models of indicators of the third group were constructed depending on the indicators of the first and second groups (R2 = from 0.508 to 0.844). The constructed regression equations most often include the value of the angles NSL/ML, NL/ML, A-N-Pog, ML/RL and A-N-B. In young men and young women, the models of indicators belonging to the second group, depending on the indicators of the first group, had coefficients of determination less than 0.5, or were not built at all.


Author(s):  
O. S. Prokopenko ◽  
E. V. Beliaiev ◽  
Mete Korkut Gulmen ◽  
O. I. Popova ◽  
L. А. Cherkasova

Numerous studies have shown that teleroentgenographic indicators differ in people of different races, ethnicities, different populations, inhabitants of different geographical areas and often differ from the values of such indicators described by the authors of classical methods of cephalometric analysis. The aim of the study was to establish teleroentgenographic parameters that can be most often corrected during orthodontic and surgical interventions and to determine their features in Ukrainian young men and young women with orthognathic occlusion depending on profiles and facial types according to Schwarz A. M. The results of studies of lateral teleroentgenogram of the head of 49 young men aged 17 to 21 years and 76 young women aged 16 to 20 years with a physiological bite as close as possible to orthognathic using dental cone-beam tomography Veraviewepocs 3D Morita (Japan) are presented in this work. The morphometric teleroentgenographic parameters of the upper and lower jaws and inter-jaw parameters, which can most often change during surgical, orthodontic, cosmetic interventions in groups of persons with different profiles or types of faces according to Schwarz A. M., were determined. All significant differences between groups of young men with different facial profiles and between groups of young women with different facial profiles are of the same type: in both young men and young women with the first type of face profile – angle B is greater than in representatives with the third profile type, and angle MM is greater than in representatives with the third and second profile types; both in young men and young women with a second face type profile – distance R.asc. larger than the representatives with the first profile type; in both young men and young women with the third face profile type, the angle F is larger than in the representatives with the first profile type, the angle I is larger than in the representatives with the first and second profiles type, and the distances L-Mand and R.asc. larger than the representatives with the first profile type; the angle T have greater values in young men or young women with the first profile type of the face than with the second and third profiles type and have greater values in the representatives with the second profile type than with the first type profile of the face. Another picture is observed in the analysis of indicators in young men and young women with different face types. Thus, in persons with the third type of face the distance Max is greater than in persons with the first type and with the second type of face; the angle F in young men or young women with the third type of face is greater than in representatives with the second and first types, and in representatives with the second type – greater than in young men or young women with the first type of face. Young men with the first type of face have higher values of angles G, B and T than young men with the third type and angle B than young men with the second type of face; in young men with the second type of face – greater values of angle I than in young men with the first type and angle B than in young men with the third type of face; young men with the third type of face have larger values of angle I and distance R.asc. than young men with the first type of face. In young women, only tendencies to higher values of I and T angles were recorded in persons with the third type of face than with the first type. The obtained results indicate the need to divide young men and young women into separate groups according to the profile and type of person for an individualized approach to the definition and analysis of teleroentgenographic indicators in the population of Ukraine.


2018 ◽  
Vol 24 (4) ◽  
pp. 29-34
Author(s):  
A.V. Chernysh ◽  
P.A. Hasiuk ◽  
V.V. Yasko ◽  
D.G. Smolko

Many scientific studies have shown the superiority of the Harvold method when performing linear measurements for both the upper and lower jaw. The purpose of the work is to construct and analyze the regression models of teleroentgenographic indices used in the method of E.P. Harvold young men and women with normal occlusion close to orthognathic bite and harmonic face. The analysis of lateral teleroentgenograms of 38 young men (aged from 17 to 21) and 55 young women (aged from 16 to 20 years) with normal occlusion close to orthognathic bite and harmonic face, obtained using the Veraviewepocs 3D device, Morita (Japan), was performed according to the techniques of R.M. Ricketts, C.J. Burstone, E.P. Harvold. In the course of the study, all the indicators of the above methods, were divided into three groups: 1 – metric characteristics of the skull, which usually do not change during surgical and orthodontic treatment; 2 – indicators of the tooth-jaw system that allow people with already formed bone skeleton to change the width, length, angles and position of the bones of the upper and lower jaws; 3 – indicators that characterize the position of each individual tooth relative to each other, to the bony cranial structures and face profile. In the licensed package “Statistica 6.0”, regression models were constructed for the following parameters included in the second group, depending on the parameters of the first group: ANS-Сond (maxillary length in the Harvold method described as TM-ANS), Pog-Cond (mandibular length in the E.P. Harvold method is indicated as TM-PGN), Max-Mand – (difference in jaw lengths); as well as the index included in the third group, depending on the indicators of the first and second groups – Ap1uAp1l-DOP (angle Ap1uAp1l-DOP). In the young men, all three possible reliable models of teleroentgenographic parameters were constructed using the E.P. Harvold method, which were included in the second group, depending on the indicators of the first group (R2 = from 0.616 to 0.940), and in young women only the length of the upper and lower jaws (R2=0.857 and 0.792). In both young men and women, all models of the second group of models built according to the indicators of the first group included the distance P-PTV. Up to two models for young men and one model for young women included the distance Pt-N. Also, one model for young men and women included the angle of the cranial tilt (POr-NBa). Only young women have models for the front length of the skull base (N-CC). As for young men and women, we also built a reliable model of the third group indicator, depending on the indicators of the first and second groups (the angle Ap1uAp1l-DOP) (respectively, R2=0.626 and R2=0.584). And in young men and women, the size of the distance A-B is included to the constructed regression equations. In addition, in young men, the regression equation includes the value of the distance P-PTV; while in young women - the angles of the ANS-Xi-PM, MeGo-NPog and N-CF-A, as well as the difference in jaw lengths Max-Mand.


2021 ◽  
Vol 27 (3) ◽  
pp. 15-21
Author(s):  
I.Yu. Drachevska

Cephalometric methods of analysis of lateral teleradiograms are one of the key elements of orthodontic planning of treatment of a patient with pathology of the dental-jaw system. Determining normative teleradiographic indicators for the local population is a key step for the successful application of one or another method of analysis, in particular, for Ukraine. The aim of the study was to construct and analyze regression models of teleradiographic parameters used in the Steiner method for Ukrainian young men and young women with orthognathic occlusion with different face types. 49 young men and 76 young women with orthognathic occlusion in the software OnyxCeph³™, version 3DPro, the company Image Instruments GmbH, Germany (license № URSQ-1799) conducted a cephalometric study using the Steiner method. The division into facial types was performed using the Garson index. Cephalometric parameters were divided into three groups: the first – indicators used in cephalometric analyzes of Schwarz, Ricketts, Steiner, Roth-Jarabak, Burstone and Bjork and are included in the parameters that usually do not change during surgical and orthodontic treatment; the second – dental-maxillary characteristics according to the Steiner method which surgical methods can be used to change the length, width, angles and position of the jaws; third – indicators according to the Steiner method that characterize the position of each tooth relative to each other, cranial structures and the profile of the soft tissues of the face. Modeling of individual teleradiographic indicators was performed in the licensed package “Statistica 6.0” using step-by-step regression analysis. When analyzing reliable models of teleradiographic indicators according to the Steiner method, which were included in the second group depending on the indicators of the first group with a coefficient of determination higher than 0.6, it was found that out of 7 possible, 5 models were built for young men with a wide face type, which most often include the value of the distances Ar-Go and N-S and the angles H and N-S-Ar; young women with a very wide type of face – 3 models (R²=from 0.604 to 0.812) which most often include the value of the angles N-S-Ar and H; in young women with a wide type of face – 4 models (R²= from 0.694 to 0.771) which most often include the value of the angles POr-NBa and H, the distance P-PTV and the ratio S-ar:ar-Go. When analyzing reliable models of teleradiographic indicators according to the Steiner method, which were included in the third group depending on the indicators of the first and second groups with a coefficient of determination higher than 0.6, it was found that out of 8 possible in young people with a wide face type, 7 models were built (R²= from 0.662 to 0.946). which most often include the magnitude of the angles ANB and SN-GoGn and the distance P-PTV; in young women with a very wide face type – 4 models (R²= from 0.635 to 0.844) which most often include the value of the angles ANB, SNA, POr-NBa and the distance Pog-NB; in young women with a wide type of face – 6 models (R²= from 0.617 to 0.923), which most often include the value of the distances Pog-NB and N-CC and the angle ANB. Construction of regression models of teleradiographic indicators used in the Steiner method in Ukrainian young men and young women with orthognathic occlusion is the foundation for creating a database of normative cephalometric indicators in Ukraine, which will provide dental care to the population at the current level.


2020 ◽  
pp. 91-96
Author(s):  
М. М. Shinkaruk-Dykovytska ◽  
T. P. Pozur ◽  
S. V. Koliadenko ◽  
V. O. Orlovskiy ◽  
G. M. Galunko

The purpose of the study: build and analyze the regression models of computed tomographic parameters necessary to determine the correct shape of dental arches, depending on the odontological and cephalometric parameters for girls with normal occlusion close to orthognathic occlusion and a wide type of face. Materials and methods: for 20 girls with normal occlusion close to the orthognathic bite and with a wide face type, in the license package "Statistica 6.0" developed regression models of linear sizes necessary for constructing the correct shape of dental arches, depending on odontometric and cephalometric indicators. Results: thus, in girls with normal occlusion close to orthognathic occlusion, having a wide type of face, all 18 possible reliable regression models (with a coefficient of determination from 0.620 to 0.973) of the reproduction of individual computed tomographic characteristics of the dental arches of upper and lower dental jaws depending on odonto- and cephalometric parameters were developed and analyzed. Conclusions: the results obtained indicate the need to take into account the type of face when calculating the parameters of dental arches.


Author(s):  
I. V. Gunas ◽  
A. V. Chernysh ◽  
V. G. Cherkasov ◽  
O. V. Cherkasova

In spite of the existence of numerous developed methods of cephalometric analysis, which should help to choose the right direction of orthodontic treatment, usually the doctor has to act intuitively, based on his experience, because their development didn’t take into account numerous factors (ethnicity, age, gender, etc.). Improving these techniques, considering the above-mentioned factors, would significantly increase their effectiveness, and hence the quality of providing dental care to the population. The purpose of the work is to construct and analyze a regression model of teleroentgenographic indicators used in the method of C. J. Burstone in young men and women with normal occlusion close to orthognathic bite and harmonic face. Primary side teleroentgenograms of 38 young men (aged 17-21 years) and 55 young women (aged 16-20 years) with normal occlusion close to orthognathic bite and harmonic face, obtained from the Veraviewepocs 3D device, Morita (Japan), taken from the bank data of research center of National Pirogov Memorial Medical University, Vinnytsya. Cephalometric measurements were performed according to the recommendations of C. J. Burstone. All indicators were divided into three groups: 1 - metric characteristics of the skull, which usually do not change during surgical and orthodontic treatment; 2 - indicators of the tooth-jaw system, the definitions of which most often need to be guided by the orthodontic treatment of growing patients and orthodontic surgery, which allows people with already formed bone skeleton to change the width, length, angles and position of the bones of the upper and lower jaws; 3 - indicators that actually characterize the position of each individual tooth relative to each other, to the bony cranial structures and face profile. Regression models of individual teleroentgenographic indicators used in the method of C. J. Burstone, built using the licensed package “Statistica 6.0”. Constructed all 6 reliable models of indicators included in the second group (anterior lower facial height ANS-Gn/Me, maxillary length ANS-PNS, ramus length Ar-Go, mandibular length Go-Pog, anterior upper facial height N-ANS and posterior upper facial height PNS-N) depending on the indicators of the first group (posterior section of cranial base Ar-Pt, anterior skull base length N-CC, angle of the cranial tilt POr-NBa, anterior section of cranial base Pt-N and distance P-PTV); as well as all 7 reliable models of indicators included in the third group (distances 1u-NF, 1l-MP, 6u-NF, 6l-MP and angles OP-HP, Max1-NF/Max1-SpP, Mand1-Mp/Mand1-MeGo) depending on the indicators of the first and second (distance A-B, A-NPog, Gо-CF, Max-Mand, N-A, N-B, N-Pog and Xi-Pm and angles MeGo-NPog, MP-HP, NAPog, N-ANS-Pog, N-CF-A, NPog-POr, POr-CFXi і POr-ANSPNS) groups. It was established that in young men the model of telerentgenographic indices included in the second group depending on the indicators of the first group and included in the third group, depending on the indicators of the first and second groups, have a higher determination coefficient than in young women (R2 from 0.806 to 0.918 in young men and from 0.510 to 0.768 for young women, and from 0.750 to 0.993 for young men and from 0.510 to 0.986 for young women). In the analysis of entering into the regression models of the relevant predictors found that in young men among the teleroentgenographic indicators of the first group included in the models of indicators of the second group most often included - distances P-PTV (33.3%), Pt-N and N-CC (by 25.0%); and in young women– distances N-CC (38.5%) and P-PTV (30.8%). It was also found that among young men among the teleroentgenographic indicators of the first and second groups that were included in the models of the third group of indicators most often included - distance ANS-Gn/Me (12.8%), the magnitude of the angles NAPog, POr-CFXi and POr-ANSPNS (by 9.4%); and in young women– distance ANS-Gn/Me (13.2%), distances А-В and PNS-N and the magnitude of the angle NAPog (by 7.9%).


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