• Journal for History of Mathematics
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• v.32 no.2
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• pp.61-77
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• 2019

The study was conducted based on the 'method of mathematical exploration through history'. In recent school education, 'Probability and Statistics' education has been emphasized, and as a result, the study has conducted a study on permutations. Permutation is used in a variety of fields, and in this study, we looked at the Derangement. The results of this study are as follows. First, analysis was made at current school mathematics level and academic mathematics level for Derangement. Second, the historical development process of derangement was examined. Third, based on this, the research direction of this study was decided to be 'Derangement number's triangle(Rencontres number's triangle)', and the inquiry for education expansion was carried out. Fourth, we have presented data on concrete educational expansion by discovering various mathematical facts of the Derangement number's triangle. We hope that the results of this study will provide meaningful implications for the application of mathematics and the presentation of new inquiry directions.

• Journal of the Korean Association of Oral and Maxillofacial Surgeons
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• v.25 no.4
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• pp.330-336
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• 1999

Study of dentofacial structure relationships relative to TMJ internal derangement is required to increase the predictability of TMJ internal derangement. But few studies have been reported. The purpose of this study is to reveal any correlation of dentofacial characteristics with TMJ internal derangement by lateral cephalometric analysis. Patients were devided into two groups. (1) Symptomatic patients with TMJ internal derangement (2) Asymptomatic volunteers with no TMJ internal derangement. Twenty symptomatic patients with TMJ internal derangement(7male, 13female) were selected from our clinic and had undergone a standarized clinical examination, panorama, transcranical view, TMJ tomography. Twenty asymptomatic volunteers(9male, 11female) were selected from our clinic with no pain, no limitation of motion. All subjects had undergone lateral cephalometric analysis. The results were obtained as follows. 1. No significant difference between ID and normal group is detected in cranial base. 2. Maxilla position of ID group is located more posterioly than normal group. 3. Mandible position of ID group is located more posteriorly than normal group and facial profile is hyperdivergent. 4. Posterior facial height of ID group is less than normal group thus facial profile is hyperdivergent. The patients, as mentioned, have a high prevalance of ID thus it should be careful in TMJ ID diagnosis and treatment.

• Maxillofacial Plastic and Reconstructive Surgery
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• v.18 no.1
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• pp.78-86
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• 1996

This is a retrospective study of 31 patients, who were diagnosed as bilateral TMJ internal derangement in consequence of magnetic resonance imaging (MRI) of the temporomandibular joint (TMJ) at Department of Dentistry, Ajou University Hospital, and who were compared clinical findings with radiological findings. The results obtained were as follows. 1. The average of the patients of bilateral TMJ internal derangement was 27.3 years with a range from 12 to 74 years, and 93.6% of the patients were yonger than 40 years of age. The male-female ratio was 1 : 6.8, and the females of $20{\sim}29$ years were most common in 35.5%. 2. In the patients of bilateral TMJ internal derangement, the patients who complained clinical symptoms bilaterally were 38.7% and the patients who complained clinical symptoms untilaterally were 61.3%. 3. The most common disc position of bilateral TMJ internal derangement was anterior disc displacement without reduction on both sides in 38.7%. The most common disc configuration of bilateral TMJ internal derangement was biconcave on both sides and amorphous on both sides in closed mouth, and was amorphous on both sides in open mouth. 4. In the patients of bilateral TMJ internal derangement, the joints which really showed clinical symptoms were most common in anterior displacement without reduction of 48.9%.

• Journal of Korean Academy of Oral and Maxillofacial Radiology
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• v.18 no.1
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• pp.81-136
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• 1988

The aim of this study was to determine whether T.M.J. tomographic examination yielded significant differences in condyle positions among asymptomatic, myalgia, derangement, and arthrosis groups of T.M.J. disorders. The author obtained sagittal linear tomograms of right and left T.M.Js. of 36 asymptomatic, 22 myalgia, 54 derangement, and 31 arthrosis patients taken at serial lateral, central, and medial sections in the intercuspal position after submentovertex radiographs analyzed. With the dual linear measurements of the posterior and anterior interarticular space, condyle positions were mathematically expressed as proportion. All data from these analysis was recorded and processed statistically. The results were obtained as follows. 1. In asymptomatic group, radiographically concentric condyle position was found in 50.0% to 65.4% of subjects, with a substantial range of variability. No significant differences existed between men and women and also between right and left T.M.Js. for condyle position. 2. In women, significant difference for mean condyle position of left lateral section of each diagnostic category existed between derangement and myalgia groups (P<.05). Also that of left central section existed between derangement and myalgia groups, and that of left medial section existed between derangement and myalgia groups (P<.05). 3. In main-symptom side, condyle position in myalgia group was more concentric, and condyle position in derangement group was more posterior. This showed significant differences between derangement and myalgia groups in lateral, central, and medial sections of main- symptom sides, and only between derangement and myalgia groups in central section of contra-lateral sides (P<.05). Condyle position in arthrosis group was broadly distributed among all positions. 4. In contra-lateral side, significant difference for mean condyle position of central section of each symptomatic group existed between derangement and myalgia groups (P<.05). Condyle position in derangement group was more posterior. The distribution of the condyle position of contra-lateral side in patients with unilateral symptoms was similar to that of main-symptom side in each symptomatic group. No significant difference existed between main-symptom and contra-lateral sides. 5. For internal derangement subgroups, condyle position in reducible disc displacement group was more posterior than non-reciprocal and locking groups, but there was no significant difference. 6. From 16 to 25 years, significant difference for mean condyle position of medial section of main-symptom side of each symptomatic group existed between myalgia and derangement groups (P<.05).

• Journal of Oral Medicine and Pain
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• v.13 no.1
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• pp.71-84
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• 1988

The author examined 206 temporomandibular disorders patients, who visited department of Oral Diagnosis and Oral Medicine in Seoul National University Hospital during the period from May 1st 1987 to April 30th 1988, clinically and radiologically and with prepared questionnaire. By clinical and radiological examination, the patients were divided into 2 groups(the patients with temporomandibular joint internal derangement and myofacial pain dysfunction syndrome or with myofacial pain dysfunction syndrome: the patient with temporomandibular joint internal derangement only). The symptom severity index and contributing factors were examined with the questionnaire, and differences in 2 groups were studied. The conclusions are followings : 1. The symptom severity index presenting the severity of symptom was higher and the scope of symptom was wider in the patients with temporomandibular joint internal derangement and myofacial pain dysfunction syndrome or with myofacial pain dysfunction compared to the patients with temporomandibular joint internal derangement only. 2. Emotions, behaviors, cognitions, and social factors were more undesirable in the patients with temporomandibular joint internal derangement and myofacial pain dysfunction syndrome or with myofacial pain dysfunction syndrome than the patients with temporomandibular joint internal derangement only.

• Imaging Science in Dentistry
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• v.33 no.2
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• pp.63-70
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• 2003

Purpose: To describe the MRI findings of the retrodiskal tissue in patients presenting with TMJ internal derangement and to correlate these findings with clinical and other MRI manifestations. Materials and Methods: One hundred eighteen joints of 63 patients with TMJ internal derangement were examined by MRI. Tl-weighted sagittal MR images taken in both closed- and open-mouth were evaluated for the presence of demarcation between disk and retrodiskal tissue, the presence of low signal intensity, and the depiction of the temporal part of the posterior attachment. The results were correlated with the duration of TMJ internal derangement, the presence of pain, and other MRI findings, including the type of internal derangement, the extent of disk displacement, the degree of disc deformation, and the presence of osteoarthrosis. Results: A significant relationship between the presence of low signal intensity in the retrodiskal tissue and other MRI findings was determined. Low signal intensity on the open-mouth view was observed more frequently in patients with disc displacement without reduction, severe disc displacement and deformation, and osteoarthrosis (p<0.05). The demarcation between disk and retrodiskal tissue, and the depiction of the temporal part of the posterior attachment(TPA) were correlated neither with clinical, nor with other MRI findings. Conclusion: This study suggests that low signal intensity in the retrodiskal tissue on open-mouth MR image can be indicative of advanced stages of disk displacement.

• The Journal of the Korean dental association
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• v.58 no.6
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• pp.364-376
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• 2020

Internal derangement of the temporomandibular joint (TMJ) is condition in which articular disc has become displaced from its normal functional relationship with the mandibular condyle and the articular portion of the temporal bone. Common types of internal derangement include disc displacement with reduction (with or without intermittent locking), and disc displacement without reduction (with or without limited opening) classified according to the Diagnostic Criteria for Temporomandibular Disorders (DC/TMD). Treatment varies depending on diagnosis. Therefore, differential diagnosis should be made for appropriate treatment.

• Journal of Oral Medicine and Pain
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• v.11 no.1
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• pp.37-43
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• 1986

The purpose of this study was to investigate the effects of the posterior slope of articular eminence on internal derangement of temporomandibular joint. The author had taken transcranial oblique lateral projections of both TMJs in 30 normal subjects and 40 internal derangement patients who had 54 affected sides and 26 unaffected sides, and then analyzed the films. The results were as follows : In normal subjects, there was no significant difference between in the males and females, and between in the right and left sides. The posterior slope of articular eminence of affected sides in patients was stiffer than that of unaffected sides in patients and also stiffer than that of normal subjects. Therefore, the author concluded that stiffer posterior slope of articular eminence was, the more susceptibility to internal derangement would be.

• Imaging Science in Dentistry
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• v.32 no.4
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• pp.221-225
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• 2002

Purpose: To evaluate the relationship between internal derangement and osteoarthrosis in the temporomandibular joint (TMJ) using magnetic resonance imaging (MRI). Materials and Methods: One hundred and six MR images of TMJs in 53 patients were evaluated. Disc displacements and osseous changes of the TMJs were assessed. Lateral and rotational disc displacements were also evaluated on coronal images. Results: No significant differences in the frequency of osseous changes of the TMJs between disc displacement with reduction and disc displacement without reduction groups were found. The erosion of the condylar head and the sclerosis of the articular eminence were more frequent in the internal derangement group than in the no disc displacement group. The flattening was the most frequently observed osseous change of both the condylar head and articular eminence. Conclusion : The relationship between internal derangement and osteoarthrosis is obscure, but it is thought that both disorders adversely affect each other.

• Imaging Science in Dentistry
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• v.47 no.4
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• pp.219-226
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• 2017

Purpose: This study investigated the relationship between pain and internal derangement in temporomandibular disorder(TMD) patients using magnetic resonance imaging (MRI). Materials and Methods: This study analyzed 356 TMD patients (712 temporomandibular joints [TMJs]). The inclusion criteria were the presence of spontaneous or provoked pain on one or both TMJs and having undergone MRI. The patients with provoked pain were divided into 3 groups: pain on palpation, pain on mouth opening, and pain on mastication. MRI was performed using a 1.5-T scanner. T1- and T2-weighted parasagittal and paracoronal images were obtained. According to the findings on the T1-weighted images, another 3 groups were created based on internal derangement: normal, disc displacement with reduction, and disc displacement without reduction. The MRI findings were independently interpreted by 2 experienced oral and maxillofacial radiologists at 2 different times. Statistical analysis was performed by the chi-square test using SPSS (version 12.0; SPSS Inc., Chicago, IL, USA). Results: Provoked pain on mouth opening was found to be correlated with internal derangement in TMD patients (P<.05). However, spontaneous pain and provoked pain on palpation or mastication were not associated with internal derangement(P>.05). Conclusion: These results suggest that internal derangement was a significant predictor of provoked pain on mouth opening.