Comparing and Validating Automated Tools for Individualized Electric Field Simulations in the Human Head

Comparing electric field simulations from individualized head models against in-vivo recordings is important for direct validation of computational field modeling for transcranial brain stimulation and brain mapping techniques such as electro- and magnetoencephalography. This also helps to improve simulation accuracy by pinning down the factors having the largest influence on the simulations. Here we compare field simulations from four different automated pipelines, against intracranial voltage recordings in an existing dataset of 14 epilepsy patients. We show that ignoring uncertainty in the simulations leads to a strong bias in the estimated linear relationship between simulated and measured fields. In addition, even though the simulations between the pipelines differ notably, this is not reflected in the correlation with the measurements. We discuss potential reasons for this apparent mismatch and propose a new Bayesian regression analysis of the data that yields unbiased estimates enabling robust conclusions to be reached.

[1]  Yu Huang,et al.  Automated MRI segmentation for individualized modeling of current flow in the human head , 2013, Journal of neural engineering.

[2]  D. Reato,et al.  Gyri-precise head model of transcranial direct current stimulation: Improved spatial focality using a ring electrode versus conventional rectangular pad , 2009, Brain Stimulation.

[3]  Julie M. Baker,et al.  Individualized model predicts brain current flow during transcranial direct-current stimulation treatment in responsive stroke patient , 2011, Brain Stimulation.

[4]  Thomas R. Knösche,et al.  Influence of the head model on EEG and MEG source connectivity analyses , 2015, NeuroImage.

[5]  Alexander Opitz,et al.  On the importance of precise electrode placement for targeted transcranial electric stimulation , 2018, NeuroImage.

[6]  Hartwig R. Siebner,et al.  The impact of large structural brain changes in chronic stroke patients on the electric field caused by transcranial brain stimulation , 2017, NeuroImage: Clinical.

[7]  Christophe Geuzaine,et al.  GetDP: a general finite‐element solver for the de Rham complex , 2007 .

[8]  Hartwig R. Siebner,et al.  Automatic skull segmentation from MR images for realistic volume conductor models of the head: Assessment of the state-of-the-art , 2018, NeuroImage.

[9]  Klaus Scheffler,et al.  Human in-vivo brain magnetic resonance current density imaging (MRCDI) , 2018, NeuroImage.

[10]  Moritz Dannhauer,et al.  Modeling of the human skull in EEG source analysis , 2011, Human brain mapping.

[11]  Jens Haueisen,et al.  Comparison of three-shell and simplified volume conductor models in magnetoencephalography , 2014, NeuroImage.

[12]  Karl J. Friston,et al.  Unified segmentation , 2005, NeuroImage.

[13]  J. Rothwell,et al.  Variability in Response to Transcranial Direct Current Stimulation of the Motor Cortex , 2014, Brain Stimulation.

[14]  Alexander Opitz,et al.  Determinants of the electric field during transcranial direct current stimulation , 2015, NeuroImage.

[15]  Kristoffer Hougaard Madsen,et al.  A principled approach to conductivity uncertainty analysis in electric field calculations , 2019, NeuroImage.

[16]  D. Geselowitz On bioelectric potentials in an inhomogeneous volume conductor. , 1967, Biophysical journal.

[17]  Kristoffer Hougaard Madsen,et al.  SimNIBS 2.1: A Comprehensive Pipeline for Individualized Electric Field Modelling for Transcranial Brain Stimulation , 2018, bioRxiv.

[18]  L. Parra,et al.  Optimized multi-electrode stimulation increases focality and intensity at target , 2011, Journal of neural engineering.

[19]  A. Thielscher,et al.  Where does TMS Stimulate the Motor Cortex? Combining Electrophysiological Measurements and Realistic Field Estimates to Reveal the Affected Cortex Position , 2016, Cerebral cortex.

[20]  Alexander Kukush,et al.  Measurement Error Models , 2011, International Encyclopedia of Statistical Science.

[21]  Jiqiang Guo,et al.  Stan: A Probabilistic Programming Language. , 2017, Journal of statistical software.

[22]  Lucas C. Parra,et al.  Realistic volumetric-approach to simulate transcranial electric stimulation—ROAST—a fully automated open-source pipeline , 2017, bioRxiv.

[23]  Satoshi Tanaka,et al.  Inter-subject Variability in Electric Fields of Motor Cortical tDCS , 2015, Brain Stimulation.

[24]  A. Thielscher,et al.  Effects of transcranial direct current stimulation for treating depression: A modeling study. , 2018, Journal of affective disorders.

[25]  S. Thompson,et al.  Correcting for regression dilution bias: comparison of methods for a single predictor variable , 2000 .

[26]  Giulio Ruffini,et al.  The electric field in the cortex during transcranial current stimulation , 2013, NeuroImage.

[27]  David A. Boas,et al.  Tetrahedral mesh generation from volumetric binary and grayscale images , 2009, 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro.

[28]  Stephen F. Gull,et al.  Bayesian Data Analysis: Straight-line fitting , 1989 .

[29]  O. C. Zienkiewicz,et al.  The Finite Element Method: Its Basis and Fundamentals , 2005 .

[30]  R. Fisher FREQUENCY DISTRIBUTION OF THE VALUES OF THE CORRELATION COEFFIENTS IN SAMPLES FROM AN INDEFINITELY LARGE POPU;ATION , 1915 .

[31]  Gabriella Tognola,et al.  Magnetic stimulation of the nervous system: Induced electric field in unbounded, semi-infinite, spherical, and cylindrical media , 1996, Annals of Biomedical Engineering.

[32]  L. Parra,et al.  Measurements and models of electric fields in the in vivo human brain during transcranial electric stimulation , 2017, Brain Stimulation.

[33]  B. Cheeran,et al.  Inter-individual Variability in Response to Non-invasive Brain Stimulation Paradigms , 2014, Brain Stimulation.

[34]  Pierre Alliez,et al.  CGAL - The Computational Geometry Algorithms Library , 2011 .

[35]  A. Dale,et al.  Whole Brain Segmentation Automated Labeling of Neuroanatomical Structures in the Human Brain , 2002, Neuron.

[36]  Alexander Opitz,et al.  Electric field calculations in brain stimulation based on finite elements: An optimized processing pipeline for the generation and usage of accurate individual head models , 2013, Human brain mapping.