Fractional order Cole model of bioimpedance of the human skin: new results
Abstract
In this paper, electrical impedance measurement data and fractional calculus have been utilized for modeling bioimpedance properties of human skin. In relation to our experimental in vivo conditions,
structure and complexity of the human skin, we suggested that bio-electrical behavior of the human skin can be described by the series layer Cole model based on modif ied fractional distributed-order based on the Caputo-Weyl fractional derivatives. The equivalent total
impedance Zc(w) of this new electric circuit is given by the next equation. The impedance spectrum was measured in a nite frequency range up to 100kHz. Our proposed modi ed Cole model much better t to experimentally curve in given frequency range in compare to existing Cole models. The tting is done using Levenberg-Marquardt nonlinear least squares.
Keywords:
human skin / fractional calculus / Cole model / bioimpedanceSource:
Book of abstracts BIOMATH 2012 - an International Conference on Mathematical Methods and Models in Biosciences held at the Bulgarian Academy of Sciences in So a, June 17-22, 2012, 2012, 84-84Publisher:
- Bulgaria: Publ. House „Vanio Nedkov“
Funding / projects:
- 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)
Note:
- http://www.biomath.bg/2012/ConferenceBook.pdf
Collections
Institution/Community
Mašinski fakultetTY - CONF AU - Lazarević, Mihailo AU - Vosika, Zoran AU - Lazović, Goran AU - Simić-Krstić, Jovana AU - Koruga, Đuro PY - 2012 UR - https://machinery.mas.bg.ac.rs/handle/123456789/4663 AB - In this paper, electrical impedance measurement data and fractional calculus have been utilized for modeling bioimpedance properties of human skin. In relation to our experimental in vivo conditions, structure and complexity of the human skin, we suggested that bio-electrical behavior of the human skin can be described by the series layer Cole model based on modif ied fractional distributed-order based on the Caputo-Weyl fractional derivatives. The equivalent total impedance Zc(w) of this new electric circuit is given by the next equation. The impedance spectrum was measured in a nite frequency range up to 100kHz. Our proposed modi ed Cole model much better t to experimentally curve in given frequency range in compare to existing Cole models. The tting is done using Levenberg-Marquardt nonlinear least squares. PB - Bulgaria: Publ. House „Vanio Nedkov“ C3 - Book of abstracts BIOMATH 2012 - an International Conference on Mathematical Methods and Models in Biosciences held at the Bulgarian Academy of Sciences in So a, June 17-22, 2012 T1 - Fractional order Cole model of bioimpedance of the human skin: new results EP - 84 SP - 84 UR - https://hdl.handle.net/21.15107/rcub_machinery_4663 ER -
@conference{ author = "Lazarević, Mihailo and Vosika, Zoran and Lazović, Goran and Simić-Krstić, Jovana and Koruga, Đuro", year = "2012", abstract = "In this paper, electrical impedance measurement data and fractional calculus have been utilized for modeling bioimpedance properties of human skin. In relation to our experimental in vivo conditions, structure and complexity of the human skin, we suggested that bio-electrical behavior of the human skin can be described by the series layer Cole model based on modif ied fractional distributed-order based on the Caputo-Weyl fractional derivatives. The equivalent total impedance Zc(w) of this new electric circuit is given by the next equation. The impedance spectrum was measured in a nite frequency range up to 100kHz. Our proposed modi ed Cole model much better t to experimentally curve in given frequency range in compare to existing Cole models. The tting is done using Levenberg-Marquardt nonlinear least squares.", publisher = "Bulgaria: Publ. House „Vanio Nedkov“", journal = "Book of abstracts BIOMATH 2012 - an International Conference on Mathematical Methods and Models in Biosciences held at the Bulgarian Academy of Sciences in So a, June 17-22, 2012", title = "Fractional order Cole model of bioimpedance of the human skin: new results", pages = "84-84", url = "https://hdl.handle.net/21.15107/rcub_machinery_4663" }
Lazarević, M., Vosika, Z., Lazović, G., Simić-Krstić, J.,& Koruga, Đ.. (2012). Fractional order Cole model of bioimpedance of the human skin: new results. in Book of abstracts BIOMATH 2012 - an International Conference on Mathematical Methods and Models in Biosciences held at the Bulgarian Academy of Sciences in So a, June 17-22, 2012 Bulgaria: Publ. House „Vanio Nedkov“., 84-84. https://hdl.handle.net/21.15107/rcub_machinery_4663
Lazarević M, Vosika Z, Lazović G, Simić-Krstić J, Koruga Đ. Fractional order Cole model of bioimpedance of the human skin: new results. in Book of abstracts BIOMATH 2012 - an International Conference on Mathematical Methods and Models in Biosciences held at the Bulgarian Academy of Sciences in So a, June 17-22, 2012. 2012;:84-84. https://hdl.handle.net/21.15107/rcub_machinery_4663 .
Lazarević, Mihailo, Vosika, Zoran, Lazović, Goran, Simić-Krstić, Jovana, Koruga, Đuro, "Fractional order Cole model of bioimpedance of the human skin: new results" in Book of abstracts BIOMATH 2012 - an International Conference on Mathematical Methods and Models in Biosciences held at the Bulgarian Academy of Sciences in So a, June 17-22, 2012 (2012):84-84, https://hdl.handle.net/21.15107/rcub_machinery_4663 .