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Hamalainen, M., Hari, R., Ilmoniemi, R.J., Knuutila, J. and Lounasmaa, O. (1993) Magnetoencephalography—Theory, Instrumentation, and Applications to Noninvasive Studies of the Working Human Brain. Reviews of Modern Physics, 65, 413.
http://dx.doi.org/10.1103/RevModPhys.65.413

has been cited by the following article:

• TITLE: On the Inverse MEG Problem with a 1-D Current Distribution

  AUTHORS: George Dassios, Konstantia Satrazemi

  KEYWORDS: Magnetoencephalography, Current Identification

  JOURNAL NAME: Applied Mathematics, Vol.6 No.1, January 12, 2015

  ABSTRACT: The inverse problem of magnetoencephalography (MEG) seeks the neuronal current within the conductive brain that generates a measured magnetic flux in the exterior of the brain-head system. This problem does not have a unique solution, and in particular, it is not even possible to identify the support of the current if it extends over a three-dimensional set. However, a localized current supported on a zero-, one- or two-dimensional set can in principle be identified. In the present work, we demonstrate an analytic algorithm that is able to recover a one-dimensional distribution of current from the knowledge of the exterior magnetic flux field. In particular, we consider a neuronal current that is supported on a small line segment of arbitrary location and orientation in space, and we reduce the identification of its characteristics to a nonlinear algebraic system. A series of numerical tests show that this system has a unique real solution. A special case is easily solved via the use of trivial algebraic operations.