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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: 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.

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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Electric potential (Φ) results for the first tDCS electrode configuration; anode at (−100,0) and cathode at (70.7,70.7).
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fig6: Electric potential (Φ) results for the first tDCS electrode configuration; anode at (−100,0) and cathode at (70.7,70.7).

Mentions: First Electrode Configuration. Electric potential simulation results for the Laplace equation-based model and the multiscale model are presented in Figure 6. The electric potential of the Laplace model (Figure 6(a)) closely resembles the multiscale model's electric potential at both t = 1 ms (Figure 6(b)) and t = 25 ms (Figure 6(c)). The electric potential difference between these two times has minuscule change. For t > 25 ms, the electric potential stabilizes, and no visible differences were observed throughout the remainder of the simulation.


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)

Electric potential (Φ) results for the first tDCS electrode configuration; anode at (−100,0) and cathode at (70.7,70.7).
© Copyright Policy
Related In: Results  -  Collection

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

fig6: Electric potential (Φ) results for the first tDCS electrode configuration; anode at (−100,0) and cathode at (70.7,70.7).
Mentions: First Electrode Configuration. Electric potential simulation results for the Laplace equation-based model and the multiscale model are presented in Figure 6. The electric potential of the Laplace model (Figure 6(a)) closely resembles the multiscale model's electric potential at both t = 1 ms (Figure 6(b)) and t = 25 ms (Figure 6(c)). The electric potential difference between these two times has minuscule change. For t > 25 ms, the electric potential stabilizes, and no visible differences were observed throughout the remainder of the simulation.

Bottom Line: 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.

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