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2016 | OriginalPaper | Chapter

Probabilistic Model of Neuronal Background Activity in Deep Brain Stimulation Trajectories

Authors : Eduard Bakstein, Tomas Sieger, Daniel Novak, Robert Jech

Published in: Information Technology in Bio- and Medical Informatics

Publisher: Springer International Publishing

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Abstract

We present a probabilistic model for classification of micro-EEG signals, recorded during deep brain stimulation surgery for Parkinson’s disease. The model uses parametric representation of neuronal background activity, estimated using normalized root-mean-square of the signal. Contrary to existing solutions using Bayes classifiers or Hidden Markov Models, our model uses smooth state-transitions represented by sigmoid functions, which ensures flexible model structure in combination with general optimizers for parameter estimation and model fitting. The presented model can easily be extended with additional parameters and constraints and is intended for fitting of a 3D anatomical model to micro-EEG data in further perspective. In an evaluation on 260 trajectories from 61 patients, the model showed classification accuracy 90.0 %, which was comparable to existing solutions. The evaluation proved the model successful in target identification and we conclude that its use for more complex tasks in the area of DBS planning and modeling is feasible.

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Footnotes
1
The dataset in [7] consisted of 52 signals from four patients only and it is not clear whether the validation sample was completely independent in terms of similarity of neighbor segments — see e.g. [8] for description of a similar problem.
 
2
Smooth state transitions using logistic sigmoid functions lead to smooth gradient and the resulting model is therefore easier to optimize.
 
3
Value of this normalization coefficient will however be close to one in most circumstances and reaches around 1.2 in the extreme case when \(a=b\) using sigmoid parameters from Fig. 1.
 
4
In the case with no entry/exit depth distribution, the initial parameters were set as the middle of the trajectory for a and the 3 / 4 of the trajectory for b.
 
5
Dimension of the parametric space searched during the evaluation phase is two, due to two optimized parameters: STN entry a and exit b, both in the range of recorded depths. The search space is further reduced by the conditions defined at the end of Model Evaluation section, especially \(a\le b\).
 
Literature
1.
go back to reference Abosch, A., Timmermann, L., Bartley, S., Rietkerk, H.G., Whiting, D., Connolly, P.J., Lanctin, D., Hariz, M.I.: An international survey of deep brain stimulation procedural steps. Stereotact. Funct. Neurosurg. 91(1), 1–11 (2013)CrossRef Abosch, A., Timmermann, L., Bartley, S., Rietkerk, H.G., Whiting, D., Connolly, P.J., Lanctin, D., Hariz, M.I.: An international survey of deep brain stimulation procedural steps. Stereotact. Funct. Neurosurg. 91(1), 1–11 (2013)CrossRef
8.
go back to reference Hammerla, N.Y., Plötz, T.: Let’s (not) stick together: pairwise similarity biases cross-validation in activity recognition. In: Proceedings of the 2015 ACM International Joint Conference on Pervasive and Ubiquitous Computing, pp. 1041–1051 (2015) Hammerla, N.Y., Plötz, T.: Let’s (not) stick together: pairwise similarity biases cross-validation in activity recognition. In: Proceedings of the 2015 ACM International Joint Conference on Pervasive and Ubiquitous Computing, pp. 1041–1051 (2015)
Metadata
Title
Probabilistic Model of Neuronal Background Activity in Deep Brain Stimulation Trajectories
Authors
Eduard Bakstein
Tomas Sieger
Daniel Novak
Robert Jech
Copyright Year
2016
DOI
https://doi.org/10.1007/978-3-319-43949-5_7

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