The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Basic mathematical and electromagnetic concepts of the biomagnetic inverse problem
Open accessAbstract
In this paper basic mathematical and physical concepts of the biomagnetic inverse problem are reviewed with some new approaches. The forward problem is discussed for both homogeneous and inhomogeneous media. Geselowitz' formulae and a surface integral equation are presented to handle a piecewise homogeneous conductor. The special cases of a spherically symmetric conductor and a horizontally layered medium are discussed in detail. The non-uniqueness of the solution of the magnetic inverse problem is discussed and the difficulty caused by the contribution of the electric potential to the magnetic field outside the conductor is studied. As practical methods of solving the inverse problem, a weighted least-squares search with confidence limits and the method of minimum norm estimate are discussed.
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Citations
Cites
Model Studies of the Magnetocardiogram
Grynszpan, F., & Geselowitz, D. B. (1973) · Biophysical Journal · doi:10.1016/s0006-3495(73)86034-5 · Cited by 226 · cited 1×
“Analternativederivation of formulae for U and B outside G was performed by Grynszpan and Geselowitz (1973) and Ilmoniemi et al (1985).”
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Cited by
Hämäläinen, M., Hari, R., Ilmoniemi, R. J., Knuutila, J., & Lounasmaa, O. V. (1993) · Reviews of Modern Physics · doi:10.1103/revmodphys.65.413 · Cited by 4,684
Interpreting magnetic fields of the brain: minimum norm estimates
Hämäläinen, M. S., & Ilmoniemi, R. J. (1994) · Medical & Biological Engineering & Computing · doi:10.1007/bf02512476 · Cited by 1,995
Digital twin: values, challenges and enablers from a modeling perspective
Rasheed, A., San, O., & Kvamsdal, T. (2020) · IEEE Access · doi:10.1109/access.2020.2970143 · Cited by 1,952
Identifying true brain interaction from EEG data using the imaginary part of coherency
Nolte, G., Bai, O., Wheaton, L., Mari, Z., Vorbach, S., & Hallett, M. (2004) · Clinical Neurophysiology · doi:10.1016/j.clinph.2004.04.029 · Cited by 1,756
Moving magnetoencephalography towards real-world applications with a wearable system
Boto, E., Holmes, N., Leggett, J., Roberts, G., Shah, V., Meyer, S. S., Muñoz, L. D., Mullinger, K. J., Tierney, T. M., Bestmann, S., et al. (2018) · Nature · doi:10.1038/nature26147 · Cited by 1,377
Metadata
- Authors
- Sarvas, J.
- Venue
- Physics in Medicine and Biology
- Publisher
- IOP Publishing
- Published
- 1987-01-01
- Volume
- 32
- Issue
- 1
- Pages
- 11-22
- ISSN
- 0031-9155 (ISSN-L)
- 1361-6560
- OpenAlex
- W1987333243
- Cited by
- 1,843
- References
- 1
- FWCI
- 14.72
- Type
- journal article
- Language
- en
- Open access
- bronze
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