Current Design with Minimum Error in Transcranial Direct Current Stimulation

  • Jing QinEmail author
  • Yushan Wang
  • Wentai Liu
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11309)


As a non-invasive brain stimulation technology, transcanial direct current stimulation (tDCS) has been recently attracting more and more attention in research and clinic applications due to its convenient implementation and modulation of the brain functionality. In this paper, we propose a novel multi-electrode tDCS current configuration model that minimizes the total error under the safety constraints. After rewriting the model as a linearly constrained minimization problem, we develop an efficient numerical algorithm based on the alternating direction method of multipliers (ADMM). Numerical experiments have shown the great potential of the proposed method in terms of accuracy and focality.


transcranial Direct Current Stimulation (tDCS) Human head model Multi-electrode stimulation Safety constraints Alternating Direction Method of Multipliers (ADMM) 



The research of Jing Qin is supported by the NSF grant DMS-1818374.


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© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Department of Mathematical SciencesMontana State UniversityBozemanUSA
  2. 2.Department of BioengineeringUniversity of CaliforniaLos AngelesUSA

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