Computational Modeling of Deep Brain Stimulation

Deep brain stimulation (DBS) is a surgical treatment technique that involves electrical pulse application to the brain via implanted electrodes. Deep brain stimulation (DBS) is a surgical treatment technique, which involves application of electrical pulses via electrodes inserted into the brain. Neurons, typically located in the basal ganglia network, are stimulated by the electrical field. DBS is currently widely used for symptomatically treating Parkinson’s disease patients and could potentially be used for a number of neurological diseases. In this study, computational modeling was used to simulate the electrical activity of neurons being affected by the electrical field, to gain better understanding of the mechanisms of DBS…

Contents

1 INTRODUCTION
1.1 DBS
1.2 Neurons
1.3 Aim of the thesis
1.4 Report structure
2 THEORY
2.1 Patch model
2.1.1 Passive membrane model
2.1.2 Active membrane model
2.1.2.1 Gating parameters
2.1.2.2 Circuit
2.1.3 Action potential
2.1.4 Notes
2.2 Cable theory
2.2.1 Activating function
2.2.2 Time constant
2.2.3 Time derivative
2.2.4 Action potential conduction velocity
3 SENSITIVITY ANALYSIS
3.1 Method
3.1.1 Conduction velocity
3.1.2 Threshold current
3.2 Results
3.2.1 Influence on conduction velocity
3.2.2 Influence on threshold current
3.3 Discussion & conclusions
3.3.1 Conduction velocity
3.3.2 Threshold current
3.3.3 Comparison: Velocity vs. Threshold
4 NEURON IN AN ELECTRIC FIELD
4.1 Method
4.1.1 Physics
4.1.2 Passing fiber
4.2 Results
4.2.1 Influence of fiber diameter
4.2.1.1 Influence on voltage threshold
4.2.1.2 d-L-D relation
4.2.2 Influence of fiber-electrode distance
4.2.3 Influence of fiber orientation
4.2.4 Influence of pulse polarity
4.3 Discussion & conclusions
4.3.1 Fiber diameter
4.3.2 Fiber-electrode distance
4.3.3 Fiber orientation
4.3.4 Pulse polarity
5 PULSE SHAPE INFLUENCE
5.1 Method
5.1.1 Energy efficiency
5.2 Results
5.2.1 Energy efficiency
5.2.1.1 Anodic-first
5.2.1.2 Cathodic-first
5.2.2 Use of biphasic pulses for inverting selectivity
5.2.3 Increasing slope of threshold-distance curves
5.2.3.1 Phenomenon
5.2.3.2 Analysis
5.2.4 Increasing slope of threshold-diameter curves
5.2.4.1 Approach 1
5.2.4.2 Approach 2
5.3 Discussion & conclusions
5.3.1 Minimizing charge injection
5.3.2 Aspects of selectivity
5.3.2.1 Distance selectivity
5.3.2.2 Diameter selectivity
5.3.2.3 Explanation
6 MODEL LIMITATIONS
6.1 Electrophysiology
6.2 Electrical field
7 CONCLUSIONS
7.1 Implications for Deep Brain Stimulation
8 REFERENCES
8.1 Figure references

Author: Petersson, Marcus

Source: Linköping University

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