Regression models of individual cephalometric indicators used in the method of E.P. Harvold
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.
 Al Taki, A., Yaqoub, S., & Hassan, M. (2018). Legan-Вurstone soft tissue profile values in a Circassian adult sample. Journal of orthodontic science, 7, 18.
 Alam, M. K., Basri, R., Purmal, K., Sikder, M. A., Saifuddin, M., & Iida, J. (2013). Cephalometric norms in Bangladeshi adults using Harvold’s analysis. International Medical Journal, 20(1), 92-94.
 Argancev, А. P., & Ahmedova, Z. R. (2014). Features of X-ray examination with endodontic treatment. Endodontics today, 3, 13-19.
 Atit, M. B., Deshmukh, S. V., Rahalkar, J., Subramanian, V., Naik, C., & Darda, M. (2013). Mean values of Steiner, Tweed, Ricketts and McNamara analysis in Maratha ethnic population: A cephalometric study. APOS Trends in Orthodontics, 3(5), 137-151.
 Bae, E. J., Kwon, H. J., & Kwon, O. W. (2014). Changes in longitudinal craniofacial growth in subjects with normal occlusions using the Ricketts analysis. The Korean Journal of Orthodontics, 44(2), 77-87.
 Bagwan, A. A., AL-Shennawy, M. I., & Alskhawy, M. M. (2015). Evaluation of soft tissue parameters for adults with accepted occlusion using Legan and Burstone analysis. Tanta Dental Journal, 12(1), 1-6.
 Chernysh, A. V. (2018). Cephalometric studies of Ukrainian young men and women with orthognathic bite by the method of E.P. Harvold. Reports of Morphology, 23(2), 38-43. https://doi.org/10.31393/morphology-jornal-2018-24(2)-06
 Chernysh, A. V., Gunas, І. V., Gavryluk, A. O., Dmytrenko, S. V., Serebrennikova, O. A., Kyrychenko, Y. V., & Balynska, M. V. (2018). Cephalometric studies of ukrainian boys and girls with orthognathic bite by the method of R. M. Ricketts. World of Medicine and Biology, 14(64), 88-93. doi: https://doi.org/10.26724/2079-8334-2018-2-64-88-93
 Daer, A. A., & Abuaffan, A. H. (2016). Cephalometric norms among a sample of Yamani adults. Orthodontic Waves, 75(2), 35-40. https://doi.org/10.1016/j.odw.2016.03.001
 Dmitriev, M., Chernysh, A., & Chugu, T. (2018). Cephalometric studies of Ukrainian boys and girls with physiological bite by the method of Charles J. Burstone. Biomedical and Biosocial Anthropology, 30, 62-67. doi: https://doi.org/10.31393/bba30-2018-09
 Dmitriev, М. О. (2016). Determination of normative cephalometric parameters by the method of Stainer for Ukrainian boys and girls. World of Medicine and Biology, 3, 28-32.
 Dmitriev, М. О., Chugu, Т. V., Gerasimchuk, V. V., & Cherkasova, О. V. (2017). Determination of craniometric and gnatometric indices by A. M. Schwartz’s method for Ukrainian boys and girls. Biomedical and biosocial anthropology, 29, 53-58.
 Fadeev, R. А., & Yakovishina, Ye. А. (2013). Studying the diagnostic value of the Harvold EP lateral teleroentgenograms analysis method for determining the age parameters of the upper and lower jaws in growing patients. Institute of Dentistry, 4, 40-41.
 Harvold, E. P. (1974). The activator in orthodontics. St. Louis, Mo., Mosby.
 Khan, S. A., Mohammad, P. A., Tariq, J., Khursheed, T., Jehan, S., Alam, M. K., & Qamruddin, I. (2017). Cephalometric Study of Pakistani Population Using McNamara Analysis. International Medical Journal, 24(1), 144-146.
 Korobeinikova, Yu. L. (2013). Comparative characteristic of modern X-ray methods of diagnostics in dentistry. Actual problems of modern medicine: Bulletin of the Ukrainian Medical Stomatological Academy, 13(3), 44-46.
 Kuramae, M., de Araújo Magnani, M. B. B., Nouer, D. F., Ambrosano, G. M. B., & Inoue, R. C. (2016). Analysis of Tweed’s Facial Triangle in Black Brazilian youngsters with normal occlusion. Brazilian Journal of Oral Sciences, 3(8), 401-403.
 Mahroof, V. (2017). A Cephalometric Analysis for Pakistani Adults Using Jarabak Bjork’s Analysis.Іnternational medical journal, 24(1), 128-131.
 Sahoo, N., Mohanty, R., Mohanty, P., Nayak, T., Nanda, S. B., & Garabadu, A. (2016). Cephalometric Norms for East Indian Population using Burstone Legan Analysis. Journal of International Oral Health, 8(12), 1076-1081.
 Singh, A. K., Ganeshkar, S. V., Mehrotra, P., & Bhagchandani, J. (2013). Comparison of different parameters for recording sagittal maxillo mandibular relation using natural head posture: A cephalometric study. Journal of orthodontic science, 2(1), 16-22. doi: 10.4103/2278-0203.110328
 Soni, A., Alladwar, N., Goel, S., Chopra, R., & Sharma, S. (2015). Evaluation of lateral Cephalometric Norms for Burstone’s Analysis in Chhattisgarh by using Nemoceph Software with Lateral Cephalograms Taken in Natural Head Position’. International Journal of Oral Health Dentistry, 1(3), 114-119.
 Wu, B. W., Kaban, L. B., & Peacock, Z. S. (2018). Do Steiner or Harvold Cephalometric Analyses Better Correlate with Clinical Impression in Orthognathic Surgery Patients? Journal of Oral and Maxillofacial Surgery, 76(10), 15-16. DOI: https://doi.org/10.1016/j.joms.2018.06.055
This work is licensed under a Creative Commons Attribution 4.0 International License.