Department of Biomedical Engineering, The City College of New York, CUNY, New York, NY 10031, United States of America.
Phys Med Biol. 2020 Nov 24;65(22):225018. doi: 10.1088/1361-6560/abb7c1.
During transcranial electrical stimulation (tES), including transcranial direct current stimulation (tDCS) and transcranial alternating current stimulation (tACS), current density concentration around the electrode edges that is predicted by simplistic skin models does not match experimental observations of erythema, heating, or other adverse events. We hypothesized that enhancing models to include skin anatomical details, would alter predicted current patterns to align with experimental observations.
We develop a high-resolution multi-layer skin model (epidermis, dermis, and fat), with or without additional ultra-structures (hair follicles, sweat glands, and blood vessels). Current flow patterns across each layer and within ultra-structures were predicted using finite element methods considering a broad range of modeled tissue parameters including 78 combinations of skin layer conductivities (S m): epidermis (standard: 1.05 × 10; range: 1.05 × 10 to 0.465); dermis (standard: 0.23; range: 0.0023 to 23), fat (standard: 2 × 10; range: 0.02 to 2 × 10). The impact of each ultra-structures in isolation and combination was evaluated with varied basic geometries. An integrated final model is then developed.
Consistent with prior models, current flow through homogenous skin was annular (concentrated at the electrode edges). In multi-layer skin, reducing epidermis conductivity and/or increasing dermis conductivity decreased current near electrode edges, however no realistic tissue layer parameters produced non-annular current flow at both epidermis and dermis. Addition of just hair follicles, sweat glands, or blood vessels resulted in current peaks around each ultrastructure, irrespective of proximity to electrode edges. Addition of only sweat glands was the most effective approach in reducing overall current concentration near electrode edges. Representation of blood vessels resulted in a uniform current flow across the vascular network. Finally, we ran the first realistic model of current flow across the skin.
We confirm prior models exhibiting current concentration near hair follicles or sweat glands, but also exhibit that an overall annular pattern of current flow remains for realistic tissue parameters. We model skin blood vessels for the first time and show that this robustly distributes current across the vascular network, consistent with experimental erythema patterns. Only a state-of-the-art precise model of skin current flow predicts lack of current concentration near electrode edges across all skin layers.
在经颅电刺激(tES)中,包括经颅直流电刺激(tDCS)和经颅交流电刺激(tACS),根据简单的皮肤模型预测的电极边缘周围的电流密度集中与红斑、加热或其他不良反应的实验观察结果不匹配。我们假设通过增强模型来包括皮肤解剖细节,将改变预测的电流模式,使其与实验观察结果一致。
我们开发了一个具有高分辨率的多层皮肤模型(表皮、真皮和脂肪),具有或不具有额外的超结构(毛囊、汗腺和血管)。使用有限元方法预测每层和超结构内的电流流动模式,考虑到广泛的建模组织参数,包括 78 种皮肤层电导率(S m)的组合:表皮(标准:1.05×10;范围:1.05×10 至 0.465);真皮(标准:0.23;范围:0.0023 至 23),脂肪(标准:2×10;范围:0.02 至 2×10)。评估了每个超结构单独和组合的影响,具有不同的基本几何形状。然后开发一个集成的最终模型。
与之前的模型一致,同质皮肤中的电流流动是环形的(集中在电极边缘)。在多层皮肤中,降低表皮电导率和/或增加真皮电导率会减少电极边缘附近的电流,但没有现实的组织层参数会在表皮和真皮上产生非环形电流流动。仅添加毛囊、汗腺或血管会导致每个超结构周围出现电流峰值,而与电极边缘的接近程度无关。仅添加汗腺是减少电极边缘附近电流集中的最有效方法。血管的表示导致血管网络内的电流均匀流动。最后,我们运行了皮肤电流流动的第一个现实模型。
我们证实了之前的模型表现出电流在毛囊或汗腺附近集中,但也表明对于现实的组织参数,仍然存在整体环形电流流动模式。我们首次对皮肤血管进行建模,并表明这种方式可以将电流有效地分布在血管网络中,与实验性红斑模式一致。只有最先进的精确皮肤电流流动模型才能预测所有皮肤层中电极边缘附近电流集中的缺乏。