Nonlinear transient response of electrode—electrolyte interfaces

The voltage transient response, V(t), of the electrode—electrolyte interface is known to be nonlinear. It has been shown byOnaral andSchwan in 1983 that the DC limit current of linearity, IAL, is proportional to t−β were β is the fractional power dependence of the linear, short pulse duration impedance. We now seek to explain the physical phenomena underlying this observation. We present an equivalent circuit model of the interface and highlight the major source of the observed nonlinear behaviour. Using the equivalent circuit model and associated formulae, an expression for the limit current of linearity is derived and compared with that found experimentally byOnaral andSchwan. According to this theoretical model, a current of as little as 22nA can be sufficient to drive an electrode system into nonlinear behaviour at longer pulse durations.

[1]  J. D. Bourland,et al.  Faradic resistance of the electrode/electrolyte interface , 1992, Medical and Biological Engineering and Computing.

[2]  H. Schwan,et al.  Linear and nonlinear properties of platinum electrode polarisation III: Equivalence of frequency-and time-domain behaviour , 2006, Medical and Biological Engineering and Computing.

[3]  R. D. Levie,et al.  The influence of surface roughness of solid electrodes on electrochemical measurements , 1965 .

[4]  J. Weinman,et al.  An analysis of electrical properties of metal electrodes , 1964, Medical electronics and biological engineering.

[5]  B. Onaral,et al.  Linear and nonlinear properties of platinum electrode polarisation II: time domain analysis , 1983, Medical and Biological Engineering and Computing.

[6]  Dov Jaron,et al.  A mathematical model for the polarization impedance of cardiac pacemaker electrodes , 1968, Medical and biological engineering.

[7]  L. A. Geddes,et al.  Electrical properties of metallic electrodes , 1990, Medical and Biological Engineering and Computing.

[8]  E. McAdams,et al.  DC nonlinearity of the solid electrode-electrolyte interface-impedance , 1991 .

[9]  Allen J. Bard,et al.  Electrochemical Methods: Fundamentals and Applications , 1980 .

[10]  Eric McAdams A study of electrode-tissue impedances encountered in cardiac pacing , 1987 .

[11]  H. P. Schwan,et al.  Linear and nonlinear electrode polarization and biological materials , 2006, Annals of Biomedical Engineering.

[12]  Jacques Jossinet,et al.  A physical interpretation of Schwan's limit current of linearity , 2006, Annals of Biomedical Engineering.

[13]  R. FitzHugh,et al.  Voltage and current clamp transients with membrane dielectric loss. , 1973, Biophysical journal.

[14]  A. Oosterom,et al.  Electrical properties of platinum electrodes: Impedance measurements and time-domain analysis , 2006, Medical and Biological Engineering and Computing.