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Assessing the direct effects of deep brain stimulation using embedded axon models

Stamatios N Sotiropoulos and Peter N Steinmetz

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To better understand the spatial extent of the direct effects of deep brain stimulation (DBS) on neurons, we implemented a geometrically realistic finite element electrical model incorporating anisotropic and inhomogenous conductivities. The model included the subthalamic nucleus (STN), substantia nigra (SN), zona incerta (ZI), fields of Forel H2 (FF), internal capsule (IC) and Medtronic 3387/3389 electrode. To quantify the effects of stimulation, we extended previous studies by using multi-compartment axon models with geometry and orientation consistent with anatomical features of the brain regions of interest. Simulation of axonal firing produced a map of relative changes in axonal activation. Voltage-controlled stimulation, with clinically typical parameters at the dorso-lateral STN, caused axon activation up to 4 mm from the target. This activation occurred within the FF, IC, SN and ZI with current intensities close to the average injected during DBS (3 mA). A sensitivity analysis of model parameters (fiber size, fiber orientation, degree of inhomogeneity, degree of anisotropy, electrode configuration) revealed that the FF and IC were consistently activated. Direct activation of axons outside the STN suggests that other brain regions may be involved in the beneficial effects of DBS when treating Parkinsonian symptoms.


PACS

87.80.-y Biophysical techniques (research methods)

87.19.X- Diseases

87.19.L- Neuroscience

02.70.Dh Finite-element and Galerkin methods

87.19.R- Mechanical and electrical properties of tissues and organs

Subjects

Computational physics

Instrumentation and measurement

Medical physics

Biological physics

Dates

Issue 2 (June 2007)

Received 7 August 2006, accepted for publication 16 February 2007

Published 28 March 2007



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