State of the art bioelectronic implants are using thin cables for therapeutic electrical stimulation. If cable insulation is thin, biological tissue surrounding cables can be unintentionally stimulated. The capacitance of the cable must be much less than the stimulating electrodes to ensure stimulating currents are delivered to the electrode-tissue interface. This work derives and experimentally validates a model to determine the capacitance of parallel cables implanted in biological tissue. Biological tissue has a high relative permittivity, so the capacitance of cabling implanted in the human body depends on cable insulation thickness. Simulations and measurements demonstrate that insulation thickness influences the capacitance of implanted parallel cables across almost two orders of magnitude: from 20 pF/m to 700 pF/m. The results are verified using four different methods: solving the Laplacian numerically from first principles, using a commercially available electrostatic solver, and measuring twelve different parallel pairs of wires using two different potentiostats. Cable capacitance simulations and measurements are performed in air, a porcine blood pool and porcine muscle tissue. The results do not differ by more than 30% for a given cable across simulation and measurement methodologies. The modelling in this work can be used to design cabling for minimally-invasive biomedical implants.

中文翻译：

---

植入生物组织的最小绝缘平行线的电容分析

现有技术水平的生物电子植入物使用细电缆进行治疗性电刺激。如果电缆绝缘薄，可能会无意刺激电缆周围的生物组织。电缆的电容必须远小于刺激电极，以确保将刺激电流传递到电极-组织界面。这项工作得出并通过实验验证了用于确定植入生物组织的平行电缆电容的模型。生物组织具有较高的相对介电常数，因此植入人体的电缆电容取决于电缆的绝缘厚度。仿真和测量表明，绝缘厚度会影响植入的平行电缆的电容，几乎跨越两个数量级：从20 pF / m到700 pF / m。使用四种不同的方法验证了结果：用第一原理从数字原理上求解拉普拉斯算子，使用市售的静电求解器以及使用两个不同的恒电位仪测量十二对不同的平行导线对。电缆电容模拟和测量在空气，猪血池和猪肌肉组织中进行。对于各种仿真和测量方法，给定电缆的结果相差不超过30％。这项工作中的建模可用于设计微创生物医学植入物的电缆。电缆电容模拟和测量在空气，猪血池和猪肌肉组织中进行。对于各种仿真和测量方法，给定电缆的结果相差不超过30％。这项工作中的建模可用于设计微创生物医学植入物的电缆。电缆电容模拟和测量在空气，猪血池和猪肌肉组织中进行。对于各种仿真和测量方法，给定电缆的结果相差不超过30％。这项工作中的建模可用于设计微创生物医学植入物的电缆。