We propose a new technique based on Parametric Model Order Reduction to efficiently calculate the Polynomial Chaos Expansion of the induced electric field in the human brain in the framework of Transcranial Magnetic Stimulation. A comparison to traditional non-intrusive methods based on regression is provided. Relative differences of the mean and standard deviation $<0.1$~\% show the accuracy of the presented method. The new algorithm accelerates the computations by more than two orders of magnitude. In this way, the computational overhead in case of uncertainty quantification is considerably decreased with respect to standard methods.

Fast MOR-based approach to uncertainty quantification in transcranial magnetic stimulation

CODECASA, LORENZO;DI RIENZO, LUCA;
2016-01-01

Abstract

We propose a new technique based on Parametric Model Order Reduction to efficiently calculate the Polynomial Chaos Expansion of the induced electric field in the human brain in the framework of Transcranial Magnetic Stimulation. A comparison to traditional non-intrusive methods based on regression is provided. Relative differences of the mean and standard deviation $<0.1$~\% show the accuracy of the presented method. The new algorithm accelerates the computations by more than two orders of magnitude. In this way, the computational overhead in case of uncertainty quantification is considerably decreased with respect to standard methods.
2016
Transcranial Magnetic stimulation
File in questo prodotto:
File Dimensione Formato  
07230273.pdf

Accesso riservato

: Publisher’s version
Dimensione 1.13 MB
Formato Adobe PDF
1.13 MB Adobe PDF   Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1009331
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 16
  • ???jsp.display-item.citation.isi??? 9
social impact