Transcranial Magnetic Stimulation: An Automated Procedure to Obtain Coil-specific Models for Field Calculations

Kristoffer Hougaard Madsen, Lars Ewald, Hartwig R. Siebner, Axel Thielscher

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Background: Field calculations for transcranial magnetic stimulation (TMS) are increasingly implemented online in neuronavigation systems and in more realistic offline approaches based on finite-element methods. They are often based on simplified and/or non-validated models of the magnetic vector potential of the TMS coils.
: To develop an approach to reconstruct the magnetic vector potential based on automated measurements.
: We implemented a setup that simultaneously measures the three components of the magnetic field with high spatial resolution. This is complemented by a novel approach to determine the magnetic vector potential via volume integration of the measured field.
: The integration approach reproduces the vector potential with very good accuracy. The vector potential distribution of a standard figure-of-eight shaped coil determined with our setup corresponds well with that calculated using a model reconstructed from x-ray images.
: The setup can supply validated models for existing and newly appearing TMS coils.
Original languageEnglish
JournalBrain Stimulation
Issue number6
Pages (from-to)1205-1208
Publication statusPublished - 2015


  • Transcranial magnetic stimulation
  • Electric field calculations
  • Magnetic vector potential
  • Stimulation coils


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