Expanding the theoretical knowledge of medical anthropology in the modern field of dental services is one of the main drivers of progress in the orthodontic field. The only way to successfully develop the relationship of these disciplines is to create and fill a database of normative data and search for correlations between various, both obviously related and, at first glance, completely unrelated structures of the human body. The purpose of the study was to determine the features of the relationship between the linear dimensions of molars with the cephalometric parameters of practically healthy men of the first mature age, residents of the western region of Ukraine. Cone-beam computed tomography was performed in 36 practically healthy men of the first mature age, residents of the western region of Ukraine (from Rivne, Volyn, Chernivtsi, Lviv, Ternopil, Khmelnytsky, Ivano-Frankivsk and Zakarpattia regions) followed by odontometry research and cephalometry. Statistical processing of the results was performed in the license package “Statistica 6.1” using non-parametric Spearman’s statistics. As a result of quantitative analysis of reliable and average strength of unreliable correlations of linear computed tomographic sizes of molars with cephalometric indicators and indices of practically healthy men of the western region of Ukraine it is established that the percentage, mainly direct, reliable and average strength of unreliable correlations of linear sizes of molars with cephalometric indices and with indicators of the cerebral or facial skull is almost no different. The largest number of reliable and medium-strength unreliable correlations of linear molars sizes with cranial indices was found with vestibular-lingual and mesio-distal tooth sizes (20.5% with upper molars and 25.0% with lower molars). The highest number of reliable and medium-strength unreliable correlations of linear molars sizes with facial skull indices was found for upper molars with tooth height, crowns and root length (10.8%) and vestibular-lingual and mesio-distal dimensions (12.8%), and for lower molars – only with vestibular-lingual and mesio-distal dimensions (19.4%). The obtained data testify to the prospects of the chosen scientific direction of research, which will further improve the work of physicians in various fields of medicine, including preventive.

The high prevalence of pathologies of the dental and tooth-jaw system both in Ukraine and abroad requires scientists to search for new, fundamental discoveries, in particular, to identify patterns of the relationship between cephalometric and odontometric indicators within certain ethnic populations. The purpose of the study is to establish the features of the correlations of computed tomography sizes of molars with cephalometric parameters of practically healthy men in the southern region of Ukraine. 33 practically healthy men of the first mature age, inhabitants of the southern region of Ukraine (from Mykolayiv, Kherson, Odesa, Zaporizhia regions and the Autonomous Republic of Crimea) underwent cephalometry and cone-beam computed tomography followed by odontometry of molars. The correlations between odonto- and cephalometric parameters were assessed in the license package “Statistica 6.1” using non-parametric Spearman statistics. In almost healthy men of the southern region of Ukraine in the qualitative analysis of multiple nature, mostly direct reliable and medium unreliable correlations, found only between most sizes of molars on the lower jaw and the length and height of the nose. Quantitative analysis revealed the most significant correlations between computed tomography sizes of molars and face sizes (7.4 % on the upper jaw, most of which are inverse, and 13.2 % on the lower jaw, almost evenly straight and inverse). With the indicators of the skull, the relative majority of reliable, mostly inverse correlations are observed with the height of the teeth, their crowns and the length of the roots (on the upper jaw 11.4 %, on the lower jaw 5.4 %); and with indicators of the facial skull – almost evenly with the height of the teeth, their crowns and the length of the roots (on the upper jaw 6.4 %, on the lower jaw 14.6 %, in both cases mostly reverse) and with vestibular-lingual and mesio-distal dimensions (on the upper jaw 8.7 %, mostly reverse, on the lower jaw 11.8 %, mostly straight). The obtained results of correlation analysis of computed tomography sizes of molars with cephalometric indicators and indices confirm the population specificity of the features of the dental system and are necessary for the correct construction of regression models.

The question of the relationship between the metric characteristics of cranial structures and odontometric parameters, and the possibility of building models based on them, which can later find their practical application in dental practice, remain a pressing problem of modern medical science. The purpose of the study is to establish the features of the relationship between the linear dimensions of molars with the cephalometric parameters of the brain and facial skull of practically healthy men in the northern region of Ukraine. 32 practically healthy residents of the northern region of Ukraine (from Kyiv, Zhytomyr, Sumy and Chernihiv regions) underwent computed tomography followed by odontometry of molars and cephalometry. The correlations between odontometric and cephalometric parameters were assessed using Spearman’s nonparametric statistics in the licensed package “Statistica 6.1”. The peculiarities of the correlations of the studied characteristics of molars with the indicators of the cerebral skull are established – multiple, only direct reliable (r = 0.35-0.57) and unreliable (r = 0.30-0.35) average correlation force (18.7% on the upper jaw, of which the relative majority with vestibular-lingual and mesio-distal dimensions and 24.1% on the lower jaw, of which the relative majority with the height of the teeth, their crowns and the length of the tooth roots); as well as with the indicators of the facial skull – mostly direct reliable (r = 0.35-0.51) and unreliable medium strength (r = 0.30-0.37) correlations, in most cases of a single nature (6.0% on the upper jaw and 6.6% on the lower jaw, almost uniformly with the height of the teeth, their crowns, root length, vestibular-lingual and mesio-distal dimensions). The results of correlation analysis of craniofacial structures are necessary for the correct construction of mathematical models, which can later find their practical application in dental practice and forensic medicine.

Restoration of missing teeth should be done as close as possible to the natural anatomical features of the person's tooth-jaw apparatus. That is why the problem of aesthetics in dentistry has ceased to be only orthopedic and has shifted towards a constitutional and ethnic odontology. The purpose of the study is to construct and carry out analyzes obtained by regression analysis, models of computed-tomographic size of molars, depending on the features of cephalometric indices of practically healthy men of the Western and Eastern regions of Ukraine. A computed-tomographic study of molars with the following odontometry and cephalometry of 36 practically healthy men of the Western region of Ukraine – residents of Volyn, Rivne, Lviv, Chernivtsi, Ternopil, Khmelnytskyi, Transcarpathian and Ivano-Frankivsk regions and 35 men of the Eastern region of Ukraine - residents of Kharkiv, Donetsk and Luhansk regions was performed with the help of the Dental Cone-ray Tomography Veraviewepocs-3D (Morita, Japan). Regression models of linear sizes of molars, depending on cephalometric indices, were conducted using the statistical software package Statistica 6.1. As a result of the conducted research, reliable models of computed-tomographic size of the upper and lower jaws molars were constructed in practically healthy men of the Western [7 models of mesio-distal dimensions (R2 = 0.532-0.646), most of which include sagittal arc (12.5%), outer-eye width, nose depth, distance between nasion and inter-cutter point, body length of the lower jaw on the left, largest head circumference and maximum head length (by 7.5%); 6 models of vestibular-tongue dimensions (R2 = 0.527-0.646), which most often include nasal depth (20.0%), body length of the lower jaw to the left (16.0%), physiological face length and morphological face length (by 12.0%); 1 model of crown height (R2 = 0.579)] as well as Eastern [3 models of crown height (R2 = 0.538-0.682), which most often include nose depth (15.0%), face type, physiological face length, morphological face length, smallest width head and sagittal arc (by 10.0%); 2 models of mesio-distal sizes (R2 = 0.572 and 0.556), which most often include inter eye fossa width (15.4%)] regions of Ukraine. Thus, in practically healthy men from the Western and Eastern administrative-territorial regions of Ukraine, based on the specifics of cephalometric indicators and face type, reliable regression models (with determination coefficient R2 greater than 0.5) of computed-tomographic size of molars of the upper and lower jaws (out of 40 possible 14 for the western and 5 for the eastern regions of Ukraine).

For more precise odontometry, taking into account the individual craniotypologicalfeatures of the patient, mathematical modeling should be used, which will significantlyimprove the quality of the medical diagnostic and treatment process in orthodontics. Thepurpose of the study is to construct and analyze a regression model of computed-tomographic size of molars, depending on the features of cephalometric indices ofpractically healthy men of the Northern and Southern regions of Ukraine. Computed-tomographic study of molars with the following odontometry and cephalometry of 32practically healthy men of the Northern region of Ukraine - residents from Zhytomyr, Kyiv,Chernihiv and Sumy regions and 33 men of the Southern region of Ukraine - residentsfrom Odessa, Nikolaev, Kherson, Zaporizhzhya regions and Crimea. The construction ofregression models of individual linear sizes of molars, depending on the cephalometricindices, was performed using the statistical software package "Statistica 6.1". As a resultof our research, we have constructed reliable models of linear computed-tomographicsizes of molars of the upper and lower jaws in practically healthy men of the North [3models of mesio-distal dimensions (R2 = 0.576-0.685), to which most often include thelength of the body of the mandible on the right (16.7%), the smallest width of the head,the depth of the nose and the craniotype (by 11.1%); 2 models of vestibular-tonguedimensions (R2 = 0.657 and 0.767), which most often include the transverse arc andthe smallest width of the head (15.4%); 2 models of crown height (R2 = 0.519 and0.557)] and Southern [4 models of mesio-distal dimensions (R2 = 0.508-0.798), whichmost often include the largest head length, average facial width, height of the upperface, physiological face length, width of the lower jaw, nose depth and external eyewidth (8.3%); 6 models of vestibular-tongue dimensions (R2 = 0.504-0.756), whichmost often include external eye width (13.2%), physiological facial length, intercostalwidth and mouth width (10.5%), maximum head width, length and height of the nose (by7.9%), transverse arc, height of the upper face and distance between the nasion andinter-incisive point (by 5.3%); 2 models of crown height (R2 = 0.527 and 0.748), whichmost often include inter-orbital width and mouth width (14.3%)] regions of Ukraine.Thus, in practically healthy men from the Northern and Southern administrative-territorialregions of Ukraine, based on the characteristics of cephalometric indicators, craniotypeand face type, reliable regression models (with determination coefficient R2 greater than0.5) of individual linear computed-tomography sizes of molars of the upper and lowerjaws (out of 40 possible 7 for Northern and 12 for Southern regions of Ukraine).