title: Compact Nonlinear Model of an Implantable Electrode Array for Spinal Cord Stimulation (SCS).
abstract: We describe the construction of a model of the electrode-electrolyte interface and surrounding electrolyte in the case of a platinum-electrode array intended for spinal-cord stimulation (SCS) application. We show that a finite, two-dimensional, resistor array provides a satisfactory model of the bulk electrolyte, and we identify the complexity required of that resistor array. The electrode-electrolyte interface is modelled in a fashion suitable for commonly-available, compact simulators using a nonlinear extension of the model of Franks (IEEE Trans. Biomed. Eng., vol. 52 , no. 7 , pp. 1295-1302, Jul. 2005) that incorporates diodes and a memristor. The electrode-electrolyte interface model accounts for the nonlinear current-overpotential characteristic and diffusion-limiting effects. We characterise a commercial, implantable, electrode array, fit the model to it, and show that the model successfully predicts subtle operational characteristics.
authors.forename: Jonathan
authors.initials: J
authors.lastname: Scott
authors.forename: Peter
authors.initials: P
authors.lastname: Single
mesh_terms: D004567:Electrodes, Implanted; D004573:Electrolytes / Q000737:chemistry; D006801:Humans; D017711:Nonlinear Dynamics; D062187:Spinal Cord Stimulation / Q000295:instrumentation*
chemical_list: D004573:Electrolytes