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Multiscale coupling of transcranial direct current stimulation to neuron electrodynamics: modeling the influence of the transcranial electric field on neuronal depolarization.

Dougherty ET, Turner JC, Vogel F - Comput Math Methods Med (2014)

Bottom Line: To address this issue, we present a mathematical, multiscale model that couples tDCS administration to neuron electrodynamics.We exemplify the capabilities of these simulations with real-world tDCS electrode configurations and treatment parameters and compare the model's predictions to those attained from medical research studies.The model is implemented using efficient numerical strategies and solution techniques to allow the use of fine computational grids needed by the medical community.

View Article: PubMed Central - PubMed

Affiliation: Genetics, Bioinformatics, and Computational Biology Program, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA.

ABSTRACT
Transcranial direct current stimulation (tDCS) continues to demonstrate success as a medical intervention for neurodegenerative diseases, psychological conditions, and traumatic brain injury recovery. One aspect of tDCS still not fully comprehended is the influence of the tDCS electric field on neural functionality. To address this issue, we present a mathematical, multiscale model that couples tDCS administration to neuron electrodynamics. We demonstrate the model's validity and medical applicability with computational simulations using an idealized two-dimensional domain and then an MRI-derived, three-dimensional human head geometry possessing inhomogeneous and anisotropic tissue conductivities. We exemplify the capabilities of these simulations with real-world tDCS electrode configurations and treatment parameters and compare the model's predictions to those attained from medical research studies. The model is implemented using efficient numerical strategies and solution techniques to allow the use of fine computational grids needed by the medical community.

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Related in: MedlinePlus

Transmembrane voltage increase in plane longitudinally through the motor cortex ipsilateral to the anode; viewing perspective is from the left posterior with the head facing towards the left. The arrows in (a) locate the primary motor cortex.
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fig13: Transmembrane voltage increase in plane longitudinally through the motor cortex ipsilateral to the anode; viewing perspective is from the left posterior with the head facing towards the left. The arrows in (a) locate the primary motor cortex.

Mentions: Figure 13 displays the transmembrane voltage results for montage 2. A slice longitudinal through the motor cortex ipsilateral to the anode, approximately perpendicular to the primary electric field path, was taken. Viewing perspective is from the left posterior of the head, with the head facing left. The arrows (Figure 13(a)) locate the motor cortex ipsilateral to the anode, the expected region of increased action potential sensitivity. Results are displayed for t = 1, 10, 20, and 50 ms.


Multiscale coupling of transcranial direct current stimulation to neuron electrodynamics: modeling the influence of the transcranial electric field on neuronal depolarization.

Dougherty ET, Turner JC, Vogel F - Comput Math Methods Med (2014)

Transmembrane voltage increase in plane longitudinally through the motor cortex ipsilateral to the anode; viewing perspective is from the left posterior with the head facing towards the left. The arrows in (a) locate the primary motor cortex.
© Copyright Policy - open-access
Related In: Results  -  Collection

Show All Figures
getmorefigures.php?uid=PMC4227389&req=5

fig13: Transmembrane voltage increase in plane longitudinally through the motor cortex ipsilateral to the anode; viewing perspective is from the left posterior with the head facing towards the left. The arrows in (a) locate the primary motor cortex.
Mentions: Figure 13 displays the transmembrane voltage results for montage 2. A slice longitudinal through the motor cortex ipsilateral to the anode, approximately perpendicular to the primary electric field path, was taken. Viewing perspective is from the left posterior of the head, with the head facing left. The arrows (Figure 13(a)) locate the motor cortex ipsilateral to the anode, the expected region of increased action potential sensitivity. Results are displayed for t = 1, 10, 20, and 50 ms.

Bottom Line: To address this issue, we present a mathematical, multiscale model that couples tDCS administration to neuron electrodynamics.We exemplify the capabilities of these simulations with real-world tDCS electrode configurations and treatment parameters and compare the model's predictions to those attained from medical research studies.The model is implemented using efficient numerical strategies and solution techniques to allow the use of fine computational grids needed by the medical community.

View Article: PubMed Central - PubMed

Affiliation: Genetics, Bioinformatics, and Computational Biology Program, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA.

ABSTRACT
Transcranial direct current stimulation (tDCS) continues to demonstrate success as a medical intervention for neurodegenerative diseases, psychological conditions, and traumatic brain injury recovery. One aspect of tDCS still not fully comprehended is the influence of the tDCS electric field on neural functionality. To address this issue, we present a mathematical, multiscale model that couples tDCS administration to neuron electrodynamics. We demonstrate the model's validity and medical applicability with computational simulations using an idealized two-dimensional domain and then an MRI-derived, three-dimensional human head geometry possessing inhomogeneous and anisotropic tissue conductivities. We exemplify the capabilities of these simulations with real-world tDCS electrode configurations and treatment parameters and compare the model's predictions to those attained from medical research studies. The model is implemented using efficient numerical strategies and solution techniques to allow the use of fine computational grids needed by the medical community.

Show MeSH
Related in: MedlinePlus