Multi-scale model of axonal and dendritic polarization by transcranial direct current stimulation in realistic head geometry

Background: Transcranial direct current stimulation (tDCS) is a non-invasive brain stimulation modality that can alter cortical excitability. However, it remains unclear how the subcellular elements of different neuron types are polarized by specific electric field (E-field) distributions. Objective...

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Main Authors: Aman S. Aberra, Ruochen Wang, Warren M. Grill, Angel V. Peterchev
Format: Article
Language:English
Published: Elsevier 2023-11-01
Series:Brain Stimulation
Online Access:http://www.sciencedirect.com/science/article/pii/S1935861X23019617
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author Aman S. Aberra
Ruochen Wang
Warren M. Grill
Angel V. Peterchev
author_facet Aman S. Aberra
Ruochen Wang
Warren M. Grill
Angel V. Peterchev
author_sort Aman S. Aberra
collection DOAJ
description Background: Transcranial direct current stimulation (tDCS) is a non-invasive brain stimulation modality that can alter cortical excitability. However, it remains unclear how the subcellular elements of different neuron types are polarized by specific electric field (E-field) distributions. Objective: To quantify neuronal polarization generated by tDCS in a multi-scale computational model. Methods: We embedded layer-specific, morphologically-realistic cortical neuron models in a finite element model of the E-field in a human head and simulated steady-state polarization generated by conventional primary-motor-cortex–supraorbital (M1–SO) and 4 × 1 high-definition (HD) tDCS. We quantified somatic, axonal, and dendritic polarization of excitatory pyramidal cells in layers 2/3, 5, and 6, as well as inhibitory interneurons in layers 1 and 4 of the hand knob. Results: Axonal and dendritic terminals were polarized more than the soma in all neurons, with peak axonal and dendritic polarization of 0.92 mV and 0.21 mV, respectively, compared to peak somatic polarization of 0.07 mV for 1.8 mA M1–SO stimulation. Both montages generated regions of depolarization and hyperpolarization beneath the M1 anode; M1–SO produced slightly stronger, more diffuse polarization peaking in the central sulcus, while 4 × 1 HD produced higher peak polarization in the gyral crown. The E-field component normal to the cortical surface correlated strongly with pyramidal neuron somatic polarization (R2>0.9), but exhibited weaker correlations with peak pyramidal axonal and dendritic polarization (R2:0.5–0.9) and peak polarization in all subcellular regions of interneurons (R2:0.3–0.6). Simulating polarization by uniform local E-field extracted at the soma approximated the spatial distribution of tDCS polarization but produced large errors in some regions (median absolute percent error: 7.9 %). Conclusions: Polarization of pre- and postsynaptic compartments of excitatory and inhibitory cortical neurons may play a significant role in tDCS neuromodulation. These effects cannot be predicted from the E-field distribution alone but rather require calculation of the neuronal response.
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spelling doaj.art-2ecc592ced0c4ff6814eb93e1602a8542023-12-21T07:30:09ZengElsevierBrain Stimulation1935-861X2023-11-0116617761791Multi-scale model of axonal and dendritic polarization by transcranial direct current stimulation in realistic head geometryAman S. Aberra0Ruochen Wang1Warren M. Grill2Angel V. Peterchev3Dept. of Biomedical Engineering, Pratt School of Engineering, Duke University, NC, USADept. of Biomedical Engineering, Pratt School of Engineering, Duke University, NC, USA; Dept. of Psychiatry and Behavioral Sciences, School of Medicine, Duke University, NC, USADept. of Biomedical Engineering, Pratt School of Engineering, Duke University, NC, USA; Dept. of Electrical and Computer Engineering, Pratt School of Engineering, Duke University, NC, USA; Dept. of Neurobiology, School of Medicine, Duke University, NC, USA; Dept. of Neurosurgery, School of Medicine, Duke University, NC, USADept. of Biomedical Engineering, Pratt School of Engineering, Duke University, NC, USA; Dept. of Psychiatry and Behavioral Sciences, School of Medicine, Duke University, NC, USA; Dept. of Electrical and Computer Engineering, Pratt School of Engineering, Duke University, NC, USA; Dept. of Neurosurgery, School of Medicine, Duke University, NC, USA; Corresponding author. Department of Psychiatry and Behavioral Sciences, Duke University Medical Center, Box 3620, DUMC, Durham, NC, 27710, USA.Background: Transcranial direct current stimulation (tDCS) is a non-invasive brain stimulation modality that can alter cortical excitability. However, it remains unclear how the subcellular elements of different neuron types are polarized by specific electric field (E-field) distributions. Objective: To quantify neuronal polarization generated by tDCS in a multi-scale computational model. Methods: We embedded layer-specific, morphologically-realistic cortical neuron models in a finite element model of the E-field in a human head and simulated steady-state polarization generated by conventional primary-motor-cortex–supraorbital (M1–SO) and 4 × 1 high-definition (HD) tDCS. We quantified somatic, axonal, and dendritic polarization of excitatory pyramidal cells in layers 2/3, 5, and 6, as well as inhibitory interneurons in layers 1 and 4 of the hand knob. Results: Axonal and dendritic terminals were polarized more than the soma in all neurons, with peak axonal and dendritic polarization of 0.92 mV and 0.21 mV, respectively, compared to peak somatic polarization of 0.07 mV for 1.8 mA M1–SO stimulation. Both montages generated regions of depolarization and hyperpolarization beneath the M1 anode; M1–SO produced slightly stronger, more diffuse polarization peaking in the central sulcus, while 4 × 1 HD produced higher peak polarization in the gyral crown. The E-field component normal to the cortical surface correlated strongly with pyramidal neuron somatic polarization (R2>0.9), but exhibited weaker correlations with peak pyramidal axonal and dendritic polarization (R2:0.5–0.9) and peak polarization in all subcellular regions of interneurons (R2:0.3–0.6). Simulating polarization by uniform local E-field extracted at the soma approximated the spatial distribution of tDCS polarization but produced large errors in some regions (median absolute percent error: 7.9 %). Conclusions: Polarization of pre- and postsynaptic compartments of excitatory and inhibitory cortical neurons may play a significant role in tDCS neuromodulation. These effects cannot be predicted from the E-field distribution alone but rather require calculation of the neuronal response.http://www.sciencedirect.com/science/article/pii/S1935861X23019617
spellingShingle Aman S. Aberra
Ruochen Wang
Warren M. Grill
Angel V. Peterchev
Multi-scale model of axonal and dendritic polarization by transcranial direct current stimulation in realistic head geometry
Brain Stimulation
title Multi-scale model of axonal and dendritic polarization by transcranial direct current stimulation in realistic head geometry
title_full Multi-scale model of axonal and dendritic polarization by transcranial direct current stimulation in realistic head geometry
title_fullStr Multi-scale model of axonal and dendritic polarization by transcranial direct current stimulation in realistic head geometry
title_full_unstemmed Multi-scale model of axonal and dendritic polarization by transcranial direct current stimulation in realistic head geometry
title_short Multi-scale model of axonal and dendritic polarization by transcranial direct current stimulation in realistic head geometry
title_sort multi scale model of axonal and dendritic polarization by transcranial direct current stimulation in realistic head geometry
url http://www.sciencedirect.com/science/article/pii/S1935861X23019617
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