Encyclopedia of Computational Neuroscience

2015 Edition
| Editors: Dieter Jaeger, Ranu Jung

Finite Element Models of Transcutaneous Spinal Cord Stimulation

  • Simon M. Danner
  • Ursula S. Hofstötter
  • Karen Minassian
Reference work entry
DOI: https://doi.org/10.1007/978-1-4614-6675-8_604



Transcutaneous spinal cord stimulation (SCS) is a noninvasive method to electrically stimulate afferent structures of the human lumbar spinal cord. These are the same neural targets as predominantly activated by epidural implants. Biophysical principles derived from computer simulations contributed to the identification of the directly activated neural structures. These simulations combine finite element (FE) models with nerve fiber models and the activating function concept. The transcutaneously generated electric field is inherently non-focal, and thus, nerve fiber activation relies on inhomogeneities of the volume conductor and the anatomical paths of the target fibers...

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We wish to acknowledge the support of the Vienna Science and Technology Fund (WWTF), Proj. Nr. LS11-057, and the Wings for Life Spinal Cord Research Foundation (WfL), Proj. Nr. WFL-AT-007/11. Special thanks are due to Frank Rattay for his insightful comments.


  1. Danner SM, Hofstoetter US, Ladenbauer J, Rattay F, Minassian K (2011) Can the human lumbar posterior columns be stimulated by transcutaneous spinal cord stimulation? A modeling study. Artif Organs 25:257–262Google Scholar
  2. Holsheimer J (1998) Computer modeling of spinal cord stimulation and its contribution to therapeutic efficacy. Spinal Cord 36:531–540PubMedGoogle Scholar
  3. Johnson CR (1997) Computational and numerical methods for bioelectric field problems. Crit Rev Biomed Eng 25:1–81PubMedGoogle Scholar
  4. Ladenbauer J, Minassian K, Hofstoetter US, Dimitrijevic MR, Rattay F (2010) Stimulation of the human lumbar spinal cord with implanted and surface electrodes: a computer simulation study. IEEE Trans Neural Syst Rehabil Eng 18:637–645PubMedGoogle Scholar
  5. McIntyre CC, Richardson AG, Grill WM (2002) Modeling the excitability of mammalian nerve fibers: influence of afterpotentials on the recovery cycle. J Neurophysiol 87:995–1006PubMedGoogle Scholar
  6. Minassian K, Hofstoetter US, Rattay F (2011) Transcutaneous lumbar posterior root stimulation for motor control studies and modification of motor activity after spinal cord injury. In: Dimitrijevic MR, Kakulas BA, McKay WB, Vrbova G (eds) Restorative neurology of spinal cord injury. Oxford University Press, New York, pp 226–255Google Scholar
  7. Ranck JB (1975) Which elements are excited in electrical stimulation of mammalian central nervous system: a review. Brain Res 98:417–440PubMedGoogle Scholar
  8. Rattay F (1999) The basic mechanisms for the electrical stimulation of the nervous system. Neuroscience 89:335–346PubMedGoogle Scholar
  9. Struijk JJ, Holsheimer J, van der Heide GG, Boom HBK (1992) Recruitment of dorsal column fibers in spinal cord stimulation: influence of collateral branching. IEEE Trans Biomed Eng 39:903–912PubMedGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • Simon M. Danner
    • 1
    • 2
  • Ursula S. Hofstötter
    • 1
    • 2
  • Karen Minassian
    • 1
    • 2
  1. 1.Center of Medical Physics and Biomedical EngineeringMedical University of ViennaViennaAustria
  2. 2.Institute of Analysis and Scientific ComputingVienna University of TechnologyViennaAustria