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Inverse problems in electromagnetism, namely, the recovery of sources (currents or charges) or system data from measured effects, are usually ill-posed or, in the numerical formulation, ill-conditioned and require suitable regularization to provide meaningful results. To test new regularization methods, there is the need of benchmark problems, which numerical properties and solutions should be well known. Hence, this study aims to define a benchmark problem, suitable to test new regularization approaches and solves with different methods.

To assess reliability and performance of different solving strategies for inverse source problems, a benchmark problem of current synthesis is defined and solved by means of several regularization methods in a comparative way; subsequently, an approach in terms of an artificial neural network (ANN) is considered as a viable alternative to classical regularization schemes. The solution of the underlying forward problem is based on a finite element analysis.

The paper provides a very detailed analysis of the proposed inverse problem in terms of numerical properties of the lead field matrix. The solutions found by different regularization approaches and an ANN method are provided, showing the performance of the applied methods and the numerical issues of the benchmark problem.

The value of the paper is to provide the numerical characteristics and issues of the proposed benchmark problem in a comprehensive way, by means of a wide variety of regularization methods and an ANN approach.

Eating disorders do not typically occur in conjunction with specific neurological disorders. Only very few cases of Guillain-Barré-Syndrome (GBS) associated with eating disorders have been reported. The objective of this paper is to describe and discuss a case of anorexia nervosa and concomittant chronic GBS. We report on a course of medical management for a 15 year old female patient, who presented with acute neurological syndrome (GBS) which was followed by the onset of a severe eating disorder. The patient was diagnosed to have two different entities, with the association between the two remaining unclear. The mainstay of management was focused on the eating disorder. Using an integrative psychiatric therapy a significant improvement of the eating disorder was achieved. The patient's body weight was stabilised and the locomotor deficits improved. Though a significant somatic disorder was evident, it proved to be advantageous to primarily focus on the eating disorder, until it was under control. The possible correlations between the two distinct disorders are discussed.