Modeling of Human Skin using Distributed Order Fractional Derivative Model-Frequency Domain
Abstract
Bioelectro-mechanical properties of the skin can be very valid data for analyzing fractal characteristics of skin structure. In this paper, bioelectrical impedance method and fractional calculus have been utilized for characterization of the human skin. Our fractional model presents the generalized continuous Cole
model which can predict structural – functional parameters as a lot of Cole complex relaxation times. It is
shown using the proposed model and experimental results that these parameters depend on the fractional
indexes as a degree of the fractional derivatives in the interval (0,1). These relaxation time constants correspond to structural – functional characteristics of the skin. The integral approximation of continuous fractional Cole model was done from ten points corresponding to orderly connected known reduced Cole elements. It was observed that five reduced Cole elements had significant values of corresponding relaxation times. Lastly, the advantages of the proposed m...odel are discussed.
Keywords:
skin layer / fractional calculus / frequency analysis / viscoelastic / electric impedanceSource:
Advanced Topics on Applications of Fractional Calculus on Control Problems, System Stability and Modeling, 2014, 94-105Publisher:
- WSEAS Press
Funding / projects:
- Sustainability and improvement of mechanical systems in energetic, material handling and conveying by using forensic engineering, environmental and robust design (RS-MESTD-Technological Development (TD or TR)-35006)
- Development of methods and techniques for early diagnostic of cervical, colon, oral cavity cancer and melanoma based on a digital image and excitation-emission spectrum in visible and infrared domain (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-41006)
- Energy efficiency Improvement of Hydro and Thermal power plants in EPS by development and implementation of power electronics based regulation and automation equipment (RS-MESTD-Technological Development (TD or TR)-33020)
- Dynamics of hybrid systems with complex structures. Mechanics of materials. (RS-MESTD-Basic Research (BR or ON)-174001)
Collections
Institution/Community
Mašinski fakultetTY - CHAP AU - Vosika, Zoran AU - Lazarević, Mihailo AU - Lazović, Goran AU - Simić-Krstić, Jovana AU - Koruga, Đuro PY - 2014 UR - https://machinery.mas.bg.ac.rs/handle/123456789/6686 AB - Bioelectro-mechanical properties of the skin can be very valid data for analyzing fractal characteristics of skin structure. In this paper, bioelectrical impedance method and fractional calculus have been utilized for characterization of the human skin. Our fractional model presents the generalized continuous Cole model which can predict structural – functional parameters as a lot of Cole complex relaxation times. It is shown using the proposed model and experimental results that these parameters depend on the fractional indexes as a degree of the fractional derivatives in the interval (0,1). These relaxation time constants correspond to structural – functional characteristics of the skin. The integral approximation of continuous fractional Cole model was done from ten points corresponding to orderly connected known reduced Cole elements. It was observed that five reduced Cole elements had significant values of corresponding relaxation times. Lastly, the advantages of the proposed model are discussed. PB - WSEAS Press T2 - Advanced Topics on Applications of Fractional Calculus on Control Problems, System Stability and Modeling T1 - Modeling of Human Skin using Distributed Order Fractional Derivative Model-Frequency Domain EP - 105 SP - 94 UR - https://hdl.handle.net/21.15107/rcub_machinery_6686 ER -
@inbook{ author = "Vosika, Zoran and Lazarević, Mihailo and Lazović, Goran and Simić-Krstić, Jovana and Koruga, Đuro", year = "2014", abstract = "Bioelectro-mechanical properties of the skin can be very valid data for analyzing fractal characteristics of skin structure. In this paper, bioelectrical impedance method and fractional calculus have been utilized for characterization of the human skin. Our fractional model presents the generalized continuous Cole model which can predict structural – functional parameters as a lot of Cole complex relaxation times. It is shown using the proposed model and experimental results that these parameters depend on the fractional indexes as a degree of the fractional derivatives in the interval (0,1). These relaxation time constants correspond to structural – functional characteristics of the skin. The integral approximation of continuous fractional Cole model was done from ten points corresponding to orderly connected known reduced Cole elements. It was observed that five reduced Cole elements had significant values of corresponding relaxation times. Lastly, the advantages of the proposed model are discussed.", publisher = "WSEAS Press", journal = "Advanced Topics on Applications of Fractional Calculus on Control Problems, System Stability and Modeling", booktitle = "Modeling of Human Skin using Distributed Order Fractional Derivative Model-Frequency Domain", pages = "105-94", url = "https://hdl.handle.net/21.15107/rcub_machinery_6686" }
Vosika, Z., Lazarević, M., Lazović, G., Simić-Krstić, J.,& Koruga, Đ.. (2014). Modeling of Human Skin using Distributed Order Fractional Derivative Model-Frequency Domain. in Advanced Topics on Applications of Fractional Calculus on Control Problems, System Stability and Modeling WSEAS Press., 94-105. https://hdl.handle.net/21.15107/rcub_machinery_6686
Vosika Z, Lazarević M, Lazović G, Simić-Krstić J, Koruga Đ. Modeling of Human Skin using Distributed Order Fractional Derivative Model-Frequency Domain. in Advanced Topics on Applications of Fractional Calculus on Control Problems, System Stability and Modeling. 2014;:94-105. https://hdl.handle.net/21.15107/rcub_machinery_6686 .
Vosika, Zoran, Lazarević, Mihailo, Lazović, Goran, Simić-Krstić, Jovana, Koruga, Đuro, "Modeling of Human Skin using Distributed Order Fractional Derivative Model-Frequency Domain" in Advanced Topics on Applications of Fractional Calculus on Control Problems, System Stability and Modeling (2014):94-105, https://hdl.handle.net/21.15107/rcub_machinery_6686 .