Multifractal characterization of healing process after bone loss

Borowska, Marta; Bębas, Ewelina; Szarmach, Janusz; Oczeretko, Edward

doi:10.1016/j.bspc.2019.04.014

Cited by 12 publications

(6 citation statements)

References 26 publications

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“…One should not forget other measures of corticalization being developed in dentistry itself like fractal dimension and multifractal spectra [53,[68][69][70]. It seems that this valuable and interesting source may in the future bring very useful measures of peri-implant bone remodeling.…”

Section: Discussionmentioning

confidence: 99%

Measures of Corticalization

Kozakiewicz

2022

JCM

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After the insertion of dental implants into living bone, the condition of the peri-implant bone changes with time. Implant-loading phenomena can induce bone remodeling in the form of the corticalization of the trabecular bone. The aim of this study was to see how bone index (BI) values behave in areas of bone loss (radiographically translucent non-trabecular areas) and to propose other indices specifically dedicated to detecting corticalization in living bone. Eight measures of corticalization in clinical standardized intraoral radiographs were studied: mean optical density, entropy, differential entropy, long-run emphasis moment, BI, corticalization index ver. 1 and ver. 2 (CI v.1, CI v.2) and corticalization factor (CF). The analysis was conducted on 40 cortical bone image samples, 40 cancellous bone samples and 40 soft tissue samples. It was found that each measure distinguishes corticalization significantly (p < 0.001), but only CI v.1 and CI v.2 do so selectively. CF or the inverse of BI can serve as a measure of peri-implant bone corticalization. However, better measures are CIs as they are dedicated to detecting this phenomenon and allowing clear clinical deduction.

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Section: Discussionmentioning

confidence: 99%

Measures of Corticalization

Kozakiewicz

2022

JCM

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“…This, unfortunately, confirms previous suspicions [ 79 ]. Undoubtedly, to establish more certain relationships [ 120 , 121 , 122 ], studies should be conducted on a larger number of implants. This kind of research is prompted by the relationship noted here between low MBL and surprisingly high CI with V shape and reverse butteress threaded implants.…”

Section: Discussionmentioning

confidence: 99%

Exploring the Importance of Corticalization Occurring in Alveolar Bone Surrounding a Dental Implant

Kozakiewicz

Wach

2022

JCM

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Several measures describing the transformation of trabecular bone to cortical bone on the basis of analysis of intraoral radiographs are known (including bone index or corticalization index, CI). At the same time, it has been noted that after functional loading of dental implants such transformations occur in the bone directly adjacent to the fixture. Intuitively, it seems that this is a process conducive to the long-term maintenance of dental implants and certainly necessary when immediate loading is applied. The authors examined the relationship of implant design features to marginal bone loss (MBL) and the intensity of corticalization over a 10-year period of functional loading. This study is a general description of the phenomenon of peri-implant bone corticalization and an attempt to interpret this phenomenon to achieve success of implant treatment in the long term. Corticalization significantly increased over the first 5-year functional loading (CI from 200 ± 146 initially to 282 ± 182, p < 0.001) and maintained a high level (CI = 261 ± 168) in the 10-year study relative to the reference bone (149 ± 178). MBL significantly increased throughout the follow-up period—5 years: 0.83 ± 1.26 mm (p < 0.001), 10 years: 1.48 ± 2.01 mm (p < 0.001). MBL and radiographic bone structure (CI) were evaluated in relation to intraosseous implant design features and prosthetic work performed. In the scope of the study, it can be concluded that the phenomenon of peri-implant jawbone corticalization seems an unfavorable condition for the future fate of bone-anchored implants, but it requires further research to fully explain the significance of this phenomenon.

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“…Specifically, in recent years, multifractal analysis has received growing attention in biomedical engineering. For example, it was applied in the analysis of various biophysiological signals, including EEG [ 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 ], ECG [ 11 , 12 , 13 , 14 , 15 ], magnetic resonance images and brainstem volume [ 16 , 17 , 18 ], mammograms [ 19 , 20 ], bone radiographic images [ 21 ], retina digital images [ 22 ], dental implant ultrasonic signal [ 23 ], and liver tissue images [ 24 ], to name few.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Statistical Analysis of Normal and Pathological Infant Cry Signals in Cepstrum Domain by Multifractal Wavelet Leaders

Lahmiri

Tadj

Gargour

2022

Entropy

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Multifractal behavior in the cepstrum representation of healthy and unhealthy infant cry signals is examined by means of wavelet leaders and compared using the Student t-test. The empirical results show that both expiration and inspiration signals exhibit clear evidence of multifractal properties under healthy and unhealthy conditions. In addition, expiration and inspiration signals exhibit more complexity under healthy conditions than under unhealthy conditions. Furthermore, distributions of multifractal characteristics are different across healthy and unhealthy conditions. Hence, this study improves the understanding of infant crying by providing a complete description of its intrinsic dynamics to better evaluate its health status.

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Multifractal characterization of healing process after bone loss

Cited by 12 publications

References 26 publications

Measures of Corticalization

Measures of Corticalization

Exploring the Importance of Corticalization Occurring in Alveolar Bone Surrounding a Dental Implant

Nonlinear Statistical Analysis of Normal and Pathological Infant Cry Signals in Cepstrum Domain by Multifractal Wavelet Leaders

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