Manoli Zoi, Parazzini Marta, Ravazzani Paolo, Samaras Theodoros
Department of Physics, Aristotle University of Thessaloniki, Thessaloniki, 54124, Greece.
THESS S.A., Thessaloniki, 57001, Greece.
Med Phys. 2017 Jan;44(1):262-271. doi: 10.1002/mp.12006. Epub 2017 Jan 3.
The lack of knowledge of the electric field distribution inside the brain of stroke patients receiving transcranial direct current stimulation (tDCS) calls for estimating it computationally. Moreover, the impact on this distribution of a novel clinical management approach which involves secondary motor areas (SMA) in stroke rehabilitation needs to be evaluated. Finally, the differences in the electric field distributions due to gender and age need to be investigated.
This work presents the development of two different anatomical models (young adult female and elderly male) with an ischemic stroke region of spherical volume 10 cm or 50 cm , using numerical models of the Virtual Population (ViP). The stroke phase was considered as acute or chronic, resulting in different electrical properties of the area. Two different electrode montages were used - One over the lesion area and the contralateral supra-orbital region and the other over the SMA and the contralateral supra-orbital region. A quasi-electrostatic solver was used to numerically solve the Laplace equation with the finite-difference technique. Both the 99th percentile of the electric field intensity distribution ("E peak value") and the percentage of the tissue volumes with electric field intensity over 50% and 70% of the E peak value were assessed inside the target areas of the primary motor cortex (M1) and the SMA, as well as in other brain tissues (hypothalamus and cerebellum).
In the acute phase of an ischemic stroke, the normalized electric field intensity distributions do not differ noticeably compared to those in the brain of a healthy person (mean square difference < 2%). The difference becomes larger (up to 4.5%) for the chronic phase of a large ischemic lesion. Moreover, the maximum values of the induced electric field in the tissues in the SMA are almost equal for both electrode montages. The peak values of the electric field distribution ("E peak values") in cerebellum and hypothalamus for both electrode montages are rather small but different from those of healthy patients. The largest difference of 21% decrease with respect to a healthy subject was noticed in the elder adult model with a large chronic lesion. The comparison of the different electrode montages shows that the use of a stimulating electrode over the affected area creates larger values of the electric field in M1, by up to 26% for a small chronic lesion in the young female model. On the contrary, the montage does not affect considerably (change less than 8%) the E peak values in the SMA. This implies that for exciting M1, the M1-Fp2 montage should be favored.
The presence and the phase of an ischemic stroke lesion, as well as the configuration of electrode montages affect the distribution and the maximum value of the electric field induced in tissues. Moreover, patients whom seem to benefit most from tDCS are those in the chronic phase of an ischemic stroke, since contrasts in the tissue conductivity result in a higher electric field induced around the lesion volume, which could stimulate the remaining healthy tissue in the area.
对于接受经颅直流电刺激(tDCS)的中风患者,其大脑内部电场分布情况尚不明确,需要通过计算进行估计。此外,还需评估一种涉及中风康复中二级运动区(SMA)的新型临床管理方法对该分布的影响。最后,需要研究性别和年龄导致的电场分布差异。
本研究利用虚拟人群(ViP)的数值模型,构建了两种不同的解剖模型(年轻成年女性和老年男性),缺血性中风区域呈球形,体积分别为10 cm³或50 cm³。中风阶段分为急性期或慢性期,这会导致该区域具有不同的电学特性。使用了两种不同的电极蒙太奇配置——一种是覆盖病变区域和对侧眶上区域,另一种是覆盖SMA和对侧眶上区域。采用准静电求解器,运用有限差分技术对拉普拉斯方程进行数值求解。在初级运动皮层(M1)和SMA的目标区域以及其他脑组织(下丘脑和小脑)内,评估电场强度分布的第99百分位数(“E峰值”)以及电场强度超过E峰值50%和70%的组织体积百分比。
在缺血性中风急性期,与健康人大脑相比,归一化电场强度分布差异不明显(均方差<2%)。对于大的缺血性病变慢性期,差异会变大(高达4.5%)。此外,两种电极蒙太奇配置下,SMA组织中感应电场的最大值几乎相等。两种电极蒙太奇配置下,小脑和下丘脑的电场分布峰值(“E峰值”)相当小,但与健康患者不同。在患有大的慢性病变的老年成年模型中,与健康受试者相比,最大差异降低了21%。不同电极蒙太奇配置的比较表明,在年轻女性模型中,对于小的慢性病变,在受影响区域上方使用刺激电极会使M1中的电场值更大,最高可达26%。相反,蒙太奇配置对SMA中的E峰值影响不大(变化小于8%)。这意味着为了刺激M1,应优先选择M1 - Fp2蒙太奇配置。
缺血性中风病变的存在、阶段以及电极蒙太奇配置会影响组织中感应电场的分布和最大值。此外,似乎从tDCS中受益最大的患者是缺血性中风慢性期的患者,因为组织电导率的差异会导致病变周围诱导出更高的电场,从而刺激该区域剩余的健康组织。