• Title/Summary/Keyword: Correlation dimension

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A Study on the Anlaysis of Nonlinear Characteristics of ECG. (심전도의 비선형적 특성 분석에 관한 연구)

  • 이종민;박광석
    • Journal of Biomedical Engineering Research
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    • v.15 no.2
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    • pp.151-158
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    • 1994
  • It has been shown that many of physiological systems have nonlinear dynamics. The evidences of these nonlinear behaviors make us analyze physiological systems in the new viewpoint. And, some of these nonlinear dynamics can be represented by chaotic behaviors, which is studied by several methods-correlation dimension, return map, power spectrum analysis, etc. This study is on the analysis of nonlinear characteristics of ECG. After data have been acquired from 20 children (10-13 years old), and 30 students (20-24 years old). We have calculated parameters HR, PR, VAT, TD, TRD, TPD from data, and estimated correlation dimension, return map, power spectrum, time series. Results show the nonlinear and chaotic characteristics of ECG.

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Nonlinear Dynamic Analysis in EEG of Alzheimer's Dementia - A Preliminary Report Using Correlation Dimension - (알츠하이머형 치매 환자 뇌파의 비선형 역동 분석 - 상관차원을 이용한 예비적 연구 -)

  • Chae, Jeong-Ho;Kim, Dai-Jin;Jeong, Jaeseung;Kim, Soo Yong;Go, Hyo Jin;Paik, In-Ho
    • Korean Journal of Biological Psychiatry
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    • v.4 no.1
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    • pp.67-73
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    • 1997
  • The changes of electroencephalogram(EEG) in patients with dementia are most commonly studied by analyzing power or magnitude in certain traditionally defined frequency bands. However because of the absence of an identified metric which quantifies the complex amount of information, there are many limitations in using such a linear method. According to chaos theory, irregular signals of EEG can also result from low dimensional deterministic chaos. Chaotic nonlinear dynamics in the EEG can be studied by calculating the correlation dimension. The authors have analyzed EEG epochs from three patients with dementia of Alzheimer type and three matched control subjects. The multichannel correlation dimension is calculated from EEG epochs consisting of 15 channels with 16,384 data points per channel. The results showed that patients with dementia of Alzheimer type had significantly lower correlation dimension than non-demented controls on 12 channels. Topographic analysis showed that the correlation dimensions were significantly lower in patients with Alzheimer's disease on frontal, temporal, central, and occipital head regions. These results show that brains of patients with dementia of Alzheimer type have a decreased complexity of electrophysiological behavior. We conclude that the nonlinear analysis such as calculating correlation dimension can be a promising tool for detecting relative changes in the complexity of brain dynamics.

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Fractal dimension from radiographs of bone as indicators of possible osteoporosis (골다공증의 표식자로서 방사선학적 fracrtal dimension의 유용성에 관한 연구)

  • LEE Keon-Il
    • Journal of Korean Academy of Oral and Maxillofacial Radiology
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    • v.28 no.1
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    • pp.17-26
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    • 1998
  • The purpose of this study was to investigate whether a radiographic estimate of osseous fractal dimension is useful in the characterization of structural changes in bone. Ten specimens of bone were progressively decalcified in fresh 50 ml solutions of 0.1 N hydrochloric acid solution at cummulative timed periods of 5, 10, 20, 30, 60 and 90 minutes, and radiographed from 0 degree projection angle controlled by intraoral parelleling device. The test set of 70 radiographs was digitized and digitally filtered to reduce film -grain noise. I performed one-dimensional variance and fractal analysis of bony profiles or scan lines. Correlation analysis quantified the relationship between variance and fractal dimension. The obtained results were as follow. 1. After the first stage of decalcification variance and fractal dimension of scan line pixel intensities generally decreased with a range of 57.94 to 12.64 and 1.59 to 1.36. 2. Correlation coefficient(r) relating variances to fractal dimensions was consistantly excellent(range r=0.90 to 0.98). 3. Variance and fractal dimension were much alike in ability to discriminate, at leat on a group basis, between control and decalcified specimens.

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Application of Chaotic Analysis to Electroencephalography : Preliminary Study (혼돈 이론을 이용한 뇌파 분석에 대한 기초 연구)

  • Park, Hae Jeong;Park, Kwang Suk;Kwon, Jun Soo
    • Korean Journal of Biological Psychiatry
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    • v.2 no.2
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    • pp.257-265
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    • 1995
  • The object of this study is to apply a chaotic signal analysis method to the EEG research, especially in the aspect of neuropsychiatry, and to get some inspection of the chaotic phenomena according to the brain sites and subjects. We have acquired 21 channel EEG data and one EOG according to the international 10-20 system and calculated the correlation dimension. The subject groups are schizophrenics, bipolar disorder, major depression and normal control. They were all awoke and eye-closed. We have found no distinctive features from our experiments except temporal regions have slightly higher correlation dimension. There is also no specific distinctions between groups. We conjecture that these results are mainly because the subjects were not well controlled. EEG dimension may change in accordance with to the age, sex, medication and the time data were selected to calculate. We have also considered some conditions for a better and more objective research of chaotic analysis to EEG research. Better conditioning and standardizing the calculation of correlation dimension is necessary for the application of the chaotic analysis to neuropsychiatry.

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Quantitative evaluation of midpalatal suture maturation via fractal analysis

  • Kwak, Kyoung Ho;Kim, Seong Sik;Kim, Yong-Il;Kim, Yong-Deok
    • The korean journal of orthodontics
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    • v.46 no.5
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    • pp.323-330
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    • 2016
  • Objective: The purpose of this study was to determine whether the results of fractal analysis can be used as criteria for midpalatal suture maturation evaluation. Methods: The study included 131 subjects aged over 18 years of age (range 18.1-53.4 years) who underwent cone-beam computed tomography. Skeletonized images of the midpalatal suture were obtained via image processing software and used to calculate fractal dimensions. Correlations between maturation stage and fractal dimensions were calculated using Spearman's correlation coefficient. Optimal fractal dimension cut-off values were determined using a receiver operating characteristic curve. Results: The distribution of maturation stages of the midpalatal suture according to the cervical vertebrae maturation index was highly variable, and there was a strong negative correlation between maturation stage and fractal dimension (-0.623, p < 0.001). Fractal dimension was a statistically significant indicator of dichotomous results with regard to maturation stage (area under curve = 0.794, p < 0.001). A test in which fractal dimension was used to predict the resulting variable that splits maturation stages into ABC and D or E yielded an optimal fractal dimension cut-off value of 1.0235. Conclusions: There was a strong negative correlation between fractal dimension and midpalatal suture maturation. Fractal analysis is an objective quantitative method, and therefore we suggest that it may be useful for the evaluation of midpalatal suture maturation.

Correlation of the Nutrition Quotient between Parents and Picky Eaters in Preschoolers (까다로운 식습관을 가진 유아와 부모의 영양지수와의 관련성)

  • Ma-Young Yeom;Eun-young Choi
    • The Korean Journal of Food And Nutrition
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    • v.36 no.2
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    • pp.103-113
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    • 2023
  • This study investigated the correlation between parents' nutrition quotient (NQ) and the nutrition quotient of Korean preschoolers (NQ-P) of picky eaters (PE) aged five years living in Dobong-gu, Seoul. The questionnaire was conducted online by parents of 187 preschoolers between May 25 and June 5, 2020. PE was defined as an average score of 3 or more on the picky eating questionnaires; non-picky eaters (NPE, n=120) and PE (n=67). The correlation between preschoolers and their parents was assessed using the NQ-P and NQ, respectively. Compared to the NPE, picky eating (p<0.001) was significantly higher, and vegetable preference (p<0.001), NQ-P (p<0.05), moderation dimension (p<0.05), frequency of vegetable intake (p<0.05) of balance dimension, and processed beverages (p<0.01) of moderation dimension were significantly lower in the PE. The correlation between the NQ and NQ-P was related to the diversity (p<0.05), moderation (p<0.05), and environment (p<0.01) of NQ in the NPE and not related to the PE. PEs should increase their frequency of vegetable intake and reduce their intake of processed beverages. To increase the NQ-P of PE, parents should eat a balanced diet. Future studies on the NQ-P of preschoolers aged 3 to 5 are needed.

Assessment of Radiographic Left Atrial Dimension in Maltese Dogs with ACVIM Stage B Myxomatous Mitral Valve Disease

  • Song-In Lee;Han-Joon Lee;Joong-Hyun Song;Kun-Ho Song
    • Journal of Veterinary Clinics
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    • v.39 no.6
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    • pp.287-293
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    • 2022
  • Radiographic left atrial dimension (RLAD) is a useful measurement to assess left atrial enlargement in dogs. There are studies on the use of RLAD on various breeds of dogs, but no study on a specific breed with myxomatous mitral valve disease (MMVD). This study was conducted to compare RLAD measurements in Maltese dogs with MMVD ACVIM stage B1 and B2, and also to investigate the correlation of RLAD with the LA:Ao ratio. A total of 29 Maltese dogs were the subjects of this study. Each dog was diagnosed with MMVD ACVIM stage B1 or B2 based on physical examination, thoracic radiography, and echocardiography. The vertebral heart size (VHS), RLAD, LVIDDn, and LA:Ao ratio were measured and compared to evaluate the differences. There were significant differences in the RLAD, LVIDDn, and LA:Ao ratio between dogs with MMVD ACVIM stage B1 and those with stage B2. There was a significant correlation between the LA:Ao ratio and both the RLAD and VHS measurements, but the correlation coefficient was higher for RLAD. The RLAD scores exhibited a significant difference between dogs with ACVIM Stage B1 and with those with B2, and these scores had a higher correlation with the LA:Ao ratio measured by echocardiography than with VHS.

Characteristics of Surface Roughness through Fractal Dimension Analysis in End milling (엔드밀 가공에서 프랙탈 차원 해석을 통한 표면 거칠기의 특성)

  • 최임수;이기용;이득우;김정석
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.04a
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    • pp.1083-1087
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    • 1997
  • End milling is available for machining the variable shape of products and has brrn widely applied in many Manufacturing industries. The surface finish of machined parts determines quality and functionality of products. Surface roughness causes friction,noise,fracture, glossiness and seizure, so many research had been performed to precisely. In particular an experimental analysis was carried out to investigate the influence ofsurface roughness on the fractal dimension. This parameter was assumed to contain not only information of roughness but also extra meaning. Experiments which were performed under various cutting conditions to compare fractal dimension with surface roughness R /sab a/ show fractal dimension to be useful parameter for determining of roughness.

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A study on the density analysis of climatological stations using the correlation integral method in the fractal dimension (상관적분 기법의 프랙탈 차원 추정을 통한 기후관측소 밀도 분석에 관한 연구)

  • Kim, Hee-Kyung;Lee, Yung-Seop
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.1
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    • pp.53-62
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    • 2013
  • Currently we have 11 climatological stations registered in World Meteorological Organization. Geographically, these stations are unevenly distributed in Korea and are mainly located on seaside. Therefore station's density analysis should be performed to produce the high-quality climatological data. Using the correlation integral method, the density of climatological stations can be measured by the estimation of fractal dimension. In this study, new climatological stations having the higher fractal dimension were selected. Sequential or simultaneous selection method were carried out until 3 new stations were selected based on the fractal dimension.

A clinical study of alveolar bone quality using the fractal dimension and the implant stability quotient

  • Lee, Dae-Hyun;Ku, Young;Rhyu, In-Chul;Hong, Jeong-Ug;Lee, Cheol-Woo;Heo, Min-Suk;Huh, Kyung-Hoe
    • Journal of Periodontal and Implant Science
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    • v.40 no.1
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    • pp.19-24
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    • 2010
  • Purpose: It has been suggested that primary implant stability plays an essential role in successful osseointegration. Resonance frequency analysis (RFA) is widely used to measure the initial stability of implants because it provides superior reproducibility and non-invasiveness. The purpose of this study is to investigate whether the fractal dimension from the panoramic radiograph is related to the primary stability of the implant as represented by RFA. Methods: This study included 22 patients who underwent dental implant installation at the Department of Periodontology of Seoul National University Dental Hospital. Morphometric analysis and fractal analysis of the bone trabecular pattern were performed using panoramic radiographs, and the implant stability quotient (ISQ) values were measured after implant installation using RFA. The radiographs of 52 implant sites were analyzed, and the ISQ values were compared with the results from the morphometric analysis and fractal analysis. Results: The Pearson correlation showed a linear correlation between the ISQ values of RFA and the parameters of morphometric analysis but not of statistical significance. The fractal dimension had a linear correlation that was statistically significant. The correlation was more pronounced in the mandible. Conclusions: In conclusion, we suggest that the fractal dimension acquired from the panoramic radiograph may be a useful predictor of the initial stability of dental implants.