Abstract
The rate of diffusion to ensembles of microelectrodes is calculated by digital simulation, based on the explicit finite-difference technique. Two limiting cases are shown in the current-time relationship at short times, when the diffusion layer is small in comparison to the radius of each microelectrode, the current behaves as in the case of semi-infinite planar diffusion to the active area on the surface. At long times, when the diffusion layers of adjacent electrodes overlap significantly, the current approaches the case of planar diffusion to the total area of the surface, including the non-active regions. The results are compared with previous calculations based on analytical solutions, which were derived on the basis of different approximations. Good agreement between reported experimental data and results based on simulation is observed. Edge effects arising as a result of contributions of radial components to the total diffusion rate are shown to be significant, even on relatively large electrodes. The errors which arise due to such effects are estimated as a function of the size of the electrode and the duration of measurement.
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