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首页> 外文期刊>Journal of Computational Physics >Two volume integral equations for the inhomogeneous and anisotropic forward problem in electroencephalography
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Two volume integral equations for the inhomogeneous and anisotropic forward problem in electroencephalography

机译：脑电图中不均匀和各向异性前进问题的两个体积积分方程

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Abstract This work presents two new volume integral equations for the Electroencephalography (EEG) forward problem which, differently from the standard integral approaches in the domain, can handle heterogeneities and anisotropies of the head/brain conductivity profiles. The new formulations translate to the quasi-static regime some volume integral equation strategies that have been successfully applied to high frequency electromagnetic scattering problems. This has been obtained by extending, to the volume case, the two classical surface integral formulations used in EEG imaging and by introducing an extra surface equation, in addition to the volume ones, to properly handle boundary conditions. Numerical results corroborate theoretical treatments, showing the competitiveness of our new schemes over existing techniques and qualifying them as a valid alternative to differential equation based methods. Highlights ? Two new volume integral equations for the Electroencephalography forward problem. ? The equations can handle inhomogeneous and anisotropic conductivity profiles of the head/brain medium. ? They are applicable to real case scenarios and represent a competitive alternative in EEG imaging to differential equation schemes. ]]>
机译：<！[cdata [ Abstract 此工作为脑电图（EEG）前进问题提供了两个新的卷积分方程，这与域中的标准整体方法不同，可以处理头/脑电导率谱的异质性和各向异性。新配方转化为已成功应用于高频电磁散射问题的拟静态制度一些卷积分方程策略。这是通过延伸到体积壳体，在EEG成像中使用的两个经典表面积分制剂以及通过引入额外的表面方程，除了体积的情况之外，以适当地处理边界条件。数值结果证实了理论处理，显示了我们对现有技术的新方案的竞争力，并限定了它们作为基于微分方程的有效替代方法。 亮点 ？ 两个新卷积分方程，用于脑电图的前向问题。 ？ 方程可以处理头部/脑介质的不均匀和各向异性的电导率曲线。 ？ 它们适用于实际情况方案，并且代表EEG成像中的竞争替代方案到微分方程。 ]]>

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