Compact Nonlinear Model of an Implantable Electrode Array for Spinal Cord Stimulation (SCS)

IEEE Trans Biomed Circuits Syst. 2014 Jun;8(3):382-90. doi: 10.1109/TBCAS.2013.2270179. Epub 2013 Jul 23.

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.

MeSH terms

  • Electrodes, Implanted*
  • Electrolytes / chemistry
  • Humans
  • Nonlinear Dynamics
  • Spinal Cord Stimulation / instrumentation*

Substances

  • Electrolytes