Choosing the right electrode representation for modeling real bioelectronic interfaces: a comprehensive guide.

Aleksandar Opančar, Eric Daniel Głowacki, Vedran Đerek
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Abstract

Objective.Producing realistic numerical models of neurostimulation electrodes in contact with the electrolyte and tissue, for use in time-domain finite element method simulations while maintaining a reasonable computational burden remains a challenge. We aim to provide a straightforward experimental-theoretical hybrid approach for common electrode materials (Ti, TiN, ITO, Au, Pt, IrOx) that are relevant to the research field of bioelectronics, along with all the information necessary to replicate our approach in arbitrary geometry for real-life experimental applications.Approach.We used electrochemical impedance spectroscopy (EIS) to extract the electrode parameters in the AC regime under different DC biases. The pulsed electrode response was obtained by fast amperometry (FA) to optimize and verify the previously obtained electrode parameters in a COMSOL Multiphysics model. For optimization of the electrode parameters a constant phase element (CPE) needed to be implemented in time-domain.Main results.We find that the parameters obtained by EIS can be used to accurately simulate pulsed response only close to the electrode open circuit potential, while at other potentials we give corrections to the obtained parameters, based on FA measurements. We also find that for many electrodes (Au, TiN, Pt, and IrOx), it is important to implement a distributed CPE rather than an ideal capacitor for estimating the electrode double-layer capacitance. We outline and provide examples for the novel time-domain implementation of the CPE for finite element method simulations in COMSOL Multiphysics.Significance.An overview of electrode parameters for some common electrode materials can be a valuable and useful tool in numerical bioelectronics models. A provided FEM implementation model can be readily adapted to arbitrary electrode geometries and used for various applications. Finally, the presented methodology for parametrization of electrode materials can be used for any materials of interest which were not covered by this work.

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为真实生物电子界面建模选择正确的电极表示法:综合指南。
目标: 制作神经刺激电极与电解质和组织接触的逼真数值模型,用于时域有限元法模拟,同时保持合理的计算负担,仍然是一项挑战。我们的目标是为与生物电子学研究领域相关的常见电极材料(Ti、TiN、ITO、Au、Pt、IrOx)提供一种简单明了的实验-理论混合方法,以及将我们的方法复制到现实生活实验应用中的任意几何形状所需的所有信息。通过快速安培计获得脉冲电极响应,以便在 COMSOL 多物理场模型中优化和验证之前获得的电极参数。为了优化电极参数,需要在时域中实施恒定相位元素。主要结果: 我们发现,通过电化学阻抗谱获得的参数仅可用于精确模拟接近电极开路电位的脉冲响应,而在其他电位下,我们会根据快速安培计测量结果对获得的参数进行修正。我们还发现,对于许多电极(Au、TiN、Pt 和 IrOx)来说,重要的是采用分布式恒定相位元件而不是理想电容器来估算电极双层电容。我们概述了恒定相位元素在 COMSOL Multiphysics 中用于有限元法模拟的新型时域实施方法,并提供了相关示例。所提供的有限元实现模型可随时适应任意的电极几何形状,并用于不同的应用。最后,所介绍的电极材料参数化方法可用于本研究未涉及的任何相关材料。
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