Mathematical modeling of human skin using a fractional derivative model and the frequency domain
Апстракт
In this work, the electrical bioimpedance method and fractional calculus are applied for fractal analysis of the human skin. Bioelectro-mechanical properties of material can be applied for analyzing fractal characteristics of structure of skin. The proposed fractional model which is generalized Cole model, predicts structural parameters as a relaxation time and owner time constant. It is shown, using proposed model and experimental results, that these parameters depends of the fractional indexes as a degree of the fractional derivatives in interval (0,1].
Кључне речи:
Weyl's fractional derivative / Viscoelasticity / Mathematical modeling / Human skin / Frequency analysis / Fractional calculus / Biomedical engineering / BiomechanotronicsИзвор:
Proceedings of the 6th International Conference on Engineering Computational Technology, 2008Scopus: 2-s2.0-84858374651
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Vosika, Zoran B. AU - Simić, J. AU - Koruga, Đuro AU - Lazarević, Mihailo PY - 2008 UR - https://machinery.mas.bg.ac.rs/handle/123456789/781 AB - In this work, the electrical bioimpedance method and fractional calculus are applied for fractal analysis of the human skin. Bioelectro-mechanical properties of material can be applied for analyzing fractal characteristics of structure of skin. The proposed fractional model which is generalized Cole model, predicts structural parameters as a relaxation time and owner time constant. It is shown, using proposed model and experimental results, that these parameters depends of the fractional indexes as a degree of the fractional derivatives in interval (0,1]. C3 - Proceedings of the 6th International Conference on Engineering Computational Technology T1 - Mathematical modeling of human skin using a fractional derivative model and the frequency domain UR - https://hdl.handle.net/21.15107/rcub_machinery_781 ER -
@conference{ author = "Vosika, Zoran B. and Simić, J. and Koruga, Đuro and Lazarević, Mihailo", year = "2008", abstract = "In this work, the electrical bioimpedance method and fractional calculus are applied for fractal analysis of the human skin. Bioelectro-mechanical properties of material can be applied for analyzing fractal characteristics of structure of skin. The proposed fractional model which is generalized Cole model, predicts structural parameters as a relaxation time and owner time constant. It is shown, using proposed model and experimental results, that these parameters depends of the fractional indexes as a degree of the fractional derivatives in interval (0,1].", journal = "Proceedings of the 6th International Conference on Engineering Computational Technology", title = "Mathematical modeling of human skin using a fractional derivative model and the frequency domain", url = "https://hdl.handle.net/21.15107/rcub_machinery_781" }
Vosika, Z. B., Simić, J., Koruga, Đ.,& Lazarević, M.. (2008). Mathematical modeling of human skin using a fractional derivative model and the frequency domain. in Proceedings of the 6th International Conference on Engineering Computational Technology. https://hdl.handle.net/21.15107/rcub_machinery_781
Vosika ZB, Simić J, Koruga Đ, Lazarević M. Mathematical modeling of human skin using a fractional derivative model and the frequency domain. in Proceedings of the 6th International Conference on Engineering Computational Technology. 2008;. https://hdl.handle.net/21.15107/rcub_machinery_781 .
Vosika, Zoran B., Simić, J., Koruga, Đuro, Lazarević, Mihailo, "Mathematical modeling of human skin using a fractional derivative model and the frequency domain" in Proceedings of the 6th International Conference on Engineering Computational Technology (2008), https://hdl.handle.net/21.15107/rcub_machinery_781 .