通过脑磁图唯一确定大脑中的神经元电流
The Unique Determination of Neuronal Currents in the Brain via Magnetoencephalography
AI总结：
本文通过反演Geselowitz方程，在球形脑模型下精确确定了可从外部磁场测量中重建的电流部分，并利用能量最小化假设实现了电流的唯一重建及数值实现。
摘要：
在假设大脑占据的空间近似为球形的条件下，讨论了从头部外部感应磁场测量确定大脑内神经元电流的问题。通过反演Geselowitz方程，精确确定了可从测量中重建的电流部分。实际上，这仅由指定电流切向部分的两个函数之一的某些矩组成。指定电流切向部分的另一个函数以及电流径向部分完全是任意的。然而，还表明在能量最小化的假设下，电流可以被唯一重建。还给出了这种唯一重建的数值实现。
英文摘要：
The problem of determining the neuronal current inside the brain from measurements of the induced magnetic field outside the head is discussed under the assumption that the space occupied by the brain is approximately spherical. By inverting the Geselowitz equation, the part of the current which can be reconstructed from the measurements is precisely determined. This actually consists of only certain moments of one of the two functions specifying the tangential part of the current. The other function specifying the tangential part of the current as well as the radial part of the current are completely arbitrary. However, it is also shown that with the assumption of energy minimization, the current can be reconstructed uniquely. A numerical implementation of this unique reconstruction is also presented.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
