6533b820fe1ef96bd127913e

RESEARCH PRODUCT

A novel numerical meshless approach for electric potential estimation in transcranial stimulation

Gregory E. FasshauerMichael MccourtElisa FrancomanoSalvatore GanciSalvatore VitabileGuido Ala

subject

Regularized meshless methodMathematical optimizationmethod of fundamental solutionQuantitative Biology::Neurons and CognitionNumerical analysistranscranial electrical stimulationCurrent density distributionGrid basedBoundary valuesPhysics and Astronomy (all)Settore MAT/08 - Analisi NumericaSettore ING-IND/31 - ElettrotecnicaApplied mathematicsMethod of fundamental solutionsMeshfree methodsmeshless methodElectric potentialnumerical approximationMathematics

description

In this paper, a first application of the method of fundamental solutions in estimating the electric potential and the spatial current density distribution in the brain due to transcranial stimulation, is presented. The coupled boundary value p roblems for the electric potential are solved in a meshless way, so avoiding the use of grid based numerical methods. A multi-spherical geometry is considered and numerical results are discussed.

yearjournalcountryeditionlanguage
2015-01-01
10.1063/1.4938992http://hdl.handle.net/10447/205197