Reconstructing cortical current density by exploring sparseness in the transform domain
Open accessAbstract
In the present study, we have developed a novel electromagnetic source imaging approach to reconstruct extended cortical sources by means of cortical current density (CCD) modeling and a novel EEG imaging algorithm which explores sparseness in cortical source representations through the use of L1-norm in objective functions. The new sparse cortical current density (SCCD) imaging algorithm is unique since it reconstructs cortical sources by attaining sparseness in a transform domain (the variation map of cortical source distributions). While large variations are expected to occur along boundaries (sparseness) between active and inactive cortical regions, cortical sources can be reconstructed and their spatial extents can be estimated by locating these boundaries. We studied the SCCD algorithm using numerous simulations to investigate its capability in reconstructing cortical sources with different extents and in reconstructing multiple cortical sources with different extent contrasts. The SCCD algorithm was compared with two L2-norm solutions, i.e. weighted minimum norm estimate (wMNE) and cortical LORETA. Our simulation data from the comparison study show that the proposed sparse source imaging algorithm is able to accurately and efficiently recover extended cortical sources and is promising to provide high-accuracy estimation of cortical source extents.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Boyd, S., & Vandenberghe, L. (2004) · doi:10.1017/cbo9780511804441 · Cited by 56,601 · see citing works
Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
Sturm, J. F. (1999) · Optimization methods & software · doi:10.1080/10556789908805766 · Cited by 7,320 · see citing works
Decoding by Linear Programming
Candès, E. J., & Tao, T. (2005) · IEEE Transactions on Information Theory · doi:10.1109/tit.2005.858979 · Cited by 6,987 · see citing works
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 · see citing works
Standardized low-resolution brain electromagnetic tomography (sLORETA): technical details.
Pascual-Marqui, R. D. (2002) · PubMed · Cited by 3,340 · see citing works
Pascual-Marqui, R. D., Michel, C. M., & Lehmann, D. (1994) · International Journal of Psychophysiology · doi:10.1016/0167-8760(84)90014-x · Cited by 2,869 · see citing works
Donoho, D. L. (2006) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.20132 · Cited by 2,474 · see citing works
Dale, A. M., & Sereno, M. I. (1993) · Journal of Cognitive Neuroscience · doi:10.1162/jocn.1993.5.2.162 · Cited by 2,003 · see citing works
Phantom-limb pain as a perceptual correlate of cortical reorganization following arm amputation
Flor, H., Elbert, T. R., Knecht, S., Wienbruch, C., Pantev, C., Birbaumer, N., Larbig, W., & Taub, E. (1995) · Nature · doi:10.1038/375482a0 · Cited by 1,845 · see citing works
Realistic conductivity geometry model of the human head for interpretation of neuromagnetic data
Hamalainen, M. S., & Sarvas, J. (1989) · IEEE Transactions on Biomedical Engineering · doi:10.1109/10.16463 · Cited by 989 · see citing works
On the solution of functional equations by the method of regularization
Морозов, В. А. (1966) · Doklady Mathematics · Cited by 725 · see citing works
Visualization of Magnetoencephalographic Data Using Minimum Current Estimates
Uutela, K., Hämäläinen, M., & Somersalo, E. (1999) · NeuroImage · doi:10.1006/nimg.1999.0454 · Cited by 512 · see citing works
Monte Carlo simulation studies of EEG and MEG localization accuracy
Liu, A. K., Dale, A. M., & Belliveau, J. W. (2002) · Human Brain Mapping · doi:10.1002/hbm.10024 · Cited by 348 · see citing works
Electric Dipole Tracing in the Brain by Means of the Boundary Element Method and Its Accuracy
He, B., Musha, T., Okamoto, Y., Homma, S., Nakajima, Y., & Sato, T. (1987) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.1987.326056 · Cited by 334 · see citing works
Mapping human brain function with MEG and EEG: methods and validation
Darvas, F., Pantazis, D., Kucukaltun-Yildirim, E., & Leahy, R. M. (2004) · NeuroImage · doi:10.1016/j.neuroimage.2004.07.014 · Cited by 308 · see citing works
Selective minimum-norm solution of the biomagnetic inverse problem
Matsuura, K., & Okabe, Y. (1995) · IEEE Transactions on Biomedical Engineering · doi:10.1109/10.387200 · Cited by 243 · see citing works
Evaluation of EEG localization methods using realistic simulations of interictal spikes
Grova, C., Jean Daunizeau, A., Lina, J.-M., Bénar, C., Benali, H., & Gotman, J. (2005) · NeuroImage · doi:10.1016/j.neuroimage.2005.08.053 · Cited by 229 · see citing works
Metz, C. E., Goodenough, D. J., & Rossmann, K. (1973) · Radiology · doi:10.1148/109.2.297 · Cited by 221 · see citing works
Lai, Y., van Drongelen, W., Ding, L., Hecox, K. E., Towle, V. L., Frim, D. M., & He, B. (2004) · Clinical Neurophysiology · doi:10.1016/j.clinph.2004.08.017 · Cited by 215 · see citing works
Self-citationMEG-based imaging of focal neuronal current sources
Phillips, J., Leahy, R. M., & Mosher, J. C. (1997) · IEEE Transactions on Medical Imaging · doi:10.1109/42.585768 · Cited by 190 · see citing works
An Evaluation of Methods for Neuromagnetic Image Reconstruction
Jeffs, B. D., Leahy, R. M., & Singh, M. (1987) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.1987.325996 · Cited by 149 · see citing works
Sparse source imaging in electroencephalography with accurate field modeling
Ding, L., & He, B. (2008) · Human Brain Mapping · doi:10.1002/hbm.20448 · Cited by 131 · see citing works
Self-citationVector-based spatial–temporal minimum L1-norm solution for MEG
Huang, M.-X., Dale, A. M., Song, T., Halgren, E., Harrington, D. L., Podgorny, I. A., Cañive, J. M., Lewis, S., & Lee, R. R. (2006) · NeuroImage · doi:10.1016/j.neuroimage.2006.01.029 · Cited by 110 · see citing works
Noninvasive Localization of Epileptogenic Foci by EEG Source Modeling
Ebersole, J. S. (2000) · Epilepsia · doi:10.1111/j.1528-1157.2000.tb01531.x · Cited by 104 · see citing works
Cortical patch basis model for spatially extended neural activity
Limpiti, T., Veen, B. D. V., & Wakai, R. T. (2006) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.2006.873743 · Cited by 81 · see citing works
Optimal sparse representations in general overcomplete bases
Malioutov, D., Çetin, M., & Willsky, A. S. (2004) · IEEE International Conference on Acoustics Speech and Signal Processing · doi:10.1109/icassp.2004.1326377 · Cited by 68 · see citing works
A method for localization of sources of human cerebral potentials evoked by sensory stimuli.
Sidman, R. D., Giambalvo, V., Allison, T., & Bergey, P. D. (1978) · PubMed · Cited by 66 · see citing works
Ding, L., Wilke, C. T., Xu, B., Xu, X., van Drongelen, W., Kohrman, M. H., & He, B. (2007) · Journal of Clinical Neurophysiology · doi:10.1097/wnp.0b013e318038fd52 · Cited by 46 · see citing works
Self-citationSmooth reconstruction of cortical sources from EEG or MEG recordings
Wagner, M., Fuchs, M., Wischmann, H.-A., et al. (1996) · NeuroImage · doi:10.1016/s1053-8119(96)80170-4 · Cited by 31 · see citing works
Modeling and Imaging of Bioelectrical Activity
He, B. (2005) · Bioelectric engineering · doi:10.1007/978-0-387-49963-5 · Cited by 22 · see citing works
Flagged first, then by citations
Research works printed but not linked: 2
- Nunez P L 1981 Electric Field of the Brain (London: Oxford University Press)
- Wagner M, Wischmann H A, Fuchs M, Kohler T and Drenckhahn R 1998 Current density reconstruction using the L1 norm Advances in Biomagnetism Research: Biomag96 (New York: Springer) pp 393-6
Cited by
Sorted by citations
Electrophysiological source imaging: A noninvasive window to brain dynamics
He, B., Sohrabpour, A., Brown, E., & Liu, Z. (2018) · Annual Review of Biomedical Engineering · doi:10.1146/annurev-bioeng-062117-120853 · Cited by 297 · see citing works
- Authors
- Ding, L.
- Affiliations
- University of Oklahoma (US)
- Corresponding author
- Ding, Lei
- ORCID
- Ding, Lei
- Venue
- Physics in Medicine and Biology
- Publisher
- IOP Publishing
- Published
- 2009-04-08
- Volume
- 54
- Issue
- 9
- Pages
- 2683-2697
- ISSN
- 0031-9155 (ISSN-L)
- 1361-6560
- OpenAlex
- W2071841247
- Cited by
- 99
- References
- 30
- Citations by year
- 2026: 1 · 2025: 5 · 2024: 10 · 2023: 5 · 2022: 5 · 2021: 7 · 2020: 7 · 2019: 3 · 2018: 10 · 2017: 10 · 2016: 7 · 2015: 4 · 2014: 4 · 2013: 7 · 2012: 5
- FWCI
- 2.26
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physics in Medicine and Biology (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Life Sciences › Neuroscience › Cognitive Neuroscience › EEG and Brain-Computer Interfaces
- Physical Sciences › Mathematics › Mathematical Physics › Numerical methods in inverse problems
- Health Sciences › Medicine › Radiology, Nuclear Medicine and Imaging › Optical Imaging and Spectroscopy Techniques
- Keywords
- L1 regularization, EEG source localization
- MeSH terms
- Algorithms, Computer Simulation, Electric Conductivity, Electroencephalography, Electromagnetic Fields, Image Processing, Computer-Assisted, Models, Biological, ROC Curve, Magnetoencephalography
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review