caa a22 4500 465740138 CHVBK 20180323111807.0 cr unu---uuuuu 170327e19900301xx s 000 0 eng 10.1007/BF02368427 doi (NATIONALLICENCE)springer-10.1007/BF02368427 Fractal dynamics of polarized bioelectrodes [Elektronische Daten] [Banu Onaral, Yuan-ying Tsao] This study is concerned with mathematical modelling of the fundamental relationship which exists between the current density and the overpotential across the metalsolution interface in the linear range using methods of system theory enhanced by ‘fractal' concepts. A primer for both 1/f-type scaling and ‘anomalous' relaxation/dispersion concepts is provided, followed by a brief review of the research history pertinent to the metal electrode polarization dynamics. Next, the ‘fractal relaxation systems' approach is introduced to characterize, systems which attenuate with a fractional power-low dependence on frequency through a ‘scaling exponent'. The ‘singularity structure' which is a scaling, rational system function is proposed to expand fractal systems in terms of basic subsystems individually representing elementary exponential relaxations and collectively exhibiting scaling properties. We stress that the ‘singularity structure' carries scaling information identical to the conventional ‘distribution of relaxation times' function. ‘Structure scale' and ‘view scale' concepts are presented in the due course to streamline the analysis of scaling phenomena in general and the polarization impedance in particular. System theory-wise, the notable result is that the fractional power function attenuation, or equivalently, the logarithmic nature of the distribution function translates into the ‘self-similar' pattern replication of the system singularities in the s-plane. The singularity arrangement is governed by a recursive rule solely based on the knowledge of the fractional power factor or the scaling exponent. Pergamon Press plc, 1990 Fractal dynamics nationallicence Polarized bioelectrodes nationallicence Polarization impedance nationallicence Fractal systems nationallicence Scaling dynamics nationallicence Onaral Banu Bio-Electrode Research Laboratory, Electrical and Computer Engineering Department Drexel University, 19104, Philadelphia, PA aut Tsao Yuan-ying Bio-Electrode Research Laboratory, Electrical and Computer Engineering Department Drexel University, 19104, Philadelphia, PA aut Annals of Biomedical Engineering Kluwer Academic Publishers 18/2(1990-03-01), 151-176 0090-6964 18:2<151 1990 18 10439 https://doi.org/10.1007/BF02368427 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02368427 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Onaral Banu Bio-Electrode Research Laboratory, Electrical and Computer Engineering Department Drexel University, 19104, Philadelphia, PA aut NATIONALLICENCE 700 1- Tsao Yuan-ying Bio-Electrode Research Laboratory, Electrical and Computer Engineering Department Drexel University, 19104, Philadelphia, PA aut NATIONALLICENCE 773 0- Annals of Biomedical Engineering Kluwer Academic Publishers 18/2(1990-03-01), 151-176 0090-6964 18:2<151 1990 18 10439 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer