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The surface laplacian, high resolution EEG and controversies

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Summary

The surface Laplacian estimate (i.e., current source density) as obtained with spline functions is evaluated in the context of some recent controversies concerning high resolution EEG and source localization. In simulation studies, the spline-Laplacian provides much better estimates of cortical surface potential than is obtained from raw scalp potential, provided dense electrode arrays (e.g., 64 or more electrodes) are used. Spline-Laplacians (which are relatively independent of volume conductor model) provide estimates of cortical potential distribution which are quite similar to those obtained with a cortical imaging algorithm based on a four sphere model.

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References

  • Fender, D.H. Source localization of brain electrical activity. In: A.S. Gevins and A. Remond (Eds.), Handbook of Electroen-cephalography and Clinical Neurophysiology, revised series, 1987,1: 355–403.

  • Hjorth, B. An on-line transformation of EEG scalp potential into orthogonal source derivations. Electroencephal. Clin. Neurophysiol., 1975, 39: 526–530.

    Google Scholar 

  • Katznelson, R.D. Chapter 6 in Nunez, P.L. Electric fields of the brain: the neurophysics of EEG. New York: Oxford University Press, 1981.

    Google Scholar 

  • Law, S.K., Nunez, P.L. and Wijesinghe, R.S. High resolution EEG using spline generated surface Laplacians on spherical and ellipsoidal surfaces. IEEE Trans. Biomed. Eng., 1993, 40: 145–153.

    Google Scholar 

  • Law, S.K. and Nunez, P.L. Quantitative representation of the upper surface of the human head. Brain Topography, 1991, 3: 365–371.

    Google Scholar 

  • Le, J. and Gevins, A.S. Method to reduce blur distortion from EEG's using a realistic head model. IEEE Trans. Biomed. Eng., 1993, 40: 517–528.

    Google Scholar 

  • Nunez, P.L. Electric fields of the brain: the neurophysics of EEG. New York, Oxford University Press, 1981.

    Google Scholar 

  • Nunez, P.L. Localization of brain activity with electroencephalography. In: S. Sato (Ed.), Advances in Neurology: Vol 54 Magnetoencephalography. New York, Raven Press, 1990: 39–65.

    Google Scholar 

  • Nunez, P.L. A method to estimate local skull resistance in living subjects. IEEE Trans. Biomed. Eng., 1987, 34: 902–904.

    Google Scholar 

  • Nunez, P.L. Spatial filtering and experimental strategies in EEG. In: D. Samson-Dollfus (Ed.), Statistics and Topography in Quantitative EEG. Paris, Elsevier, 1988: 196–209.

    Google Scholar 

  • Nunez, P.L. and Pilgreen, K.L. The spline-Laplacian in clinical neurophysiology: a method to improve EEG spatial resolution. J. Clin. Neurophysiol., 1991, 8: 397–413.

    Google Scholar 

  • Nunez, P.L., Silberstein, R.B., Cadusch, P.J., Wijesinghe, R., Westdrop, A.F. and Srinivasan, R. A theoretical and experimental study of high resolution EEG based on surface Laplacians and cortical imaging. Electroencephal. Clin. Neurophysiol., 1994, in press.

  • Nunez, P.L., Pilgreen, K.L., Westdrop, A.F., Law, S.K. and Nelson, A.V. A visual study of surface potentials and Laplacians due to distributed neocortical sources: computer simulations and evoked potentials. Brain Topography, 1991, 4: 151–168.

    Google Scholar 

  • Penfield, W. and Jasper, H. Epilepsy and the functional anatomy of the human brain. Boston, Little, Brown and Company, 1954.

    Google Scholar 

  • Perrin, J., Bertrand, O. and Pernier, J. Scalp current density mapping: value and estimation from potential data. IEEE Trans. Biomed. Eng., 1987, 34: 283–287.

    Google Scholar 

  • Regan, D. Human brain electrophysiology, evoked potentials and evoked magnetic fields in science and medicine. New York, Elsevier, 1989.

    Google Scholar 

  • Rush, S. and Driscoll, D.A. EEG electrode sensitivity: an application of reciprocity. IEEE Trans. Biomed. Eng., 1969, 16: 15–22.

    Google Scholar 

  • Silberstein, R.B., Sahier, M.A., Pipingas, A., Ciorciari, J., Wood, S.R. and Simpson, D.G. Steady-state visually evoked potential topography associated with a visual vigilance task. Brain Topography, 1990, 3: 337–347.

    Google Scholar 

  • van Dijk, B.W. and Spekreijse, H. The 2 dim-Laplacian field is not suitable to localize sources of EEG activity. Vision Res., 1992, 32: 261–262.

    Google Scholar 

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Authors and Affiliations

  1. Department of Biomedical Engineering, School of Engineering, Tulane University, Boggs Center, Suite 500, 70118-5674, New Orleans, LA, USA

    Paul L. Nunez & Andrew F. Westdorp

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  1. Paul L. Nunez
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  2. Andrew F. Westdorp
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Nunez, P.L., Westdorp, A.F. The surface laplacian, high resolution EEG and controversies. Brain Topogr 6, 221–226 (1994). https://doi.org/10.1007/BF01187712

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