Influence of uncertainties in the material properties of brain tissue on the probabilistic volume of tissue activated

IEEE Transactions on Biomedical Engineering

Volumn 60, Issue 5, 2013, Pages 1378-1387

  Schmidt, Christian ^a   Grant, Peadar ^b   Lowery, Madeleine ^b   Van Rienen, Ursula ^a  

^a UNIVERSITY OF ROSTOCK   (Germany)

^b UNIVERSITY COLLEGE DUBLIN   (Ireland)

Author keywords

Deep brain stimulation (DBS); finite element methods (FEMs); neural response; sensitivity analysis

Indexed keywords

DEEP BRAIN STIMULATION; DETERMINISTIC MODELS; ELECTRICAL CONDUCTIVITY; EXPERIMENTAL STUDIES; FINITE ELEMENT MODELS; NEURAL RESPONSE; RELATIVE PERMITTIVITY; VOLUME CONDUCTOR MODEL;

ELECTRIC CONDUCTIVITY; FINITE ELEMENT METHOD; MAMMALS; NEUROSURGERY; SENSITIVITY ANALYSIS; TISSUE;

BRAIN;

ARTICLE; BRAIN DEPTH STIMULATION; BRAIN TISSUE; ELECTRIC CONDUCTIVITY; ELECTRIC POTENTIAL; FINITE ELEMENT ANALYSIS; GRAY MATTER; WHITE MATTER;

BRAIN; DEEP BRAIN STIMULATION; ELECTRIC CONDUCTIVITY; FINITE ELEMENT ANALYSIS; HUMANS; MAGNETIC RESONANCE IMAGING; MODELS, NEUROLOGICAL; MODELS, STATISTICAL; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 84876746094     PISSN: 00189294     EISSN: 15582531     Source Type: Journal    
DOI: 10.1109/TBME.2012.2235835     Document Type: Article

References (37)

1. A. L. Benabid, "Deep brain stimulation for Parkinson's disease," Curr. Opin. Neurobiol., vol. 13, pp. 696-706, 2003. (Pubitemid 37518457)
2. (2012, Jun. 13). Products and Procedures forMedtronic Deep Brain Stimulation. [Online]. Available: http://professional.medtronic.com/pt/neuro/ dbs-md/prod/index.htm
3. S. F. Lempka, M. D. Johnson, S. Miocinovic, J. L. Vitek, and C. C. McIntyre, "Current-controlled deep brain stimulation reduces in vivo voltage fluctuations observed during voltage-controlled stimulation," Clin. Neurophysiol., vol. 121, pp. 2128-2133, 2010.
4. M. C. Rodriguez-Oroz, M. Rodriguez, J. Guridi, K. Mewes, V. Chockkman, J. L. Vitek, M. R. DeLong, and J. A. Obeso, "The subthalamic nucleus in Parkinson's disease: Somatotopic organization and physiological characteristics," Brain, vol. 124, pp. 1777-1790, 2001. (Pubitemid 32845439)
5. C. R. Butson, C. B. Maks, and C. C. McIntyre, "Sources and effects of electrode impedance during deep brain stimulation," Clin. Neurphysiol., vol. 117, pp. 447-454, 2006. (Pubitemid 43228036)
6. P. F. Grant and M. M. Lowery, "Effect of dispersive conductivity and permittivity in volume conductormodels of deep brain stimulation," IEEE Trans. Biomed. Eng., vol. 57, no. 10, pp. 2386-2393, Oct. 2010.
7. C. C. McIntyre, W. Grill, D. L. Sherman, and N. V. Thakor, "Cellular effects of deep brain stimulation: Model-based analysis of activation and inhibition," J. Neurophysiol., vol. 91, pp. 1457-1469, 2004. (Pubitemid 38339318)
8. N. Yousif and X. Liu, "Investigating the depth electrode-brain interface in deep brain stimulation using finite elementmodels with graded complexity in structure and solution," J. Neurosci. Methods, vol. 184, no. 1, pp. 142-151, Oct. 2009.
9. S. Gabriel, R. W. Lau, and C. Gabriel, "The dielectric properties of biological tissues-Part III: Parametric models for the dielectric spectrum of tissues," Phys. Med. Biol., vol. 41, no. 11, pp. 2271-2293, Nov. 1996. (Pubitemid 26376903)
10. L. Geddes and L. Baker, "The specific resistance of biological material-A compendium of data for the biomedical engineer and physiologist," Med. Biol. Eng., vol. 5, no. 3, pp. 271-293, May 1967.
11. K. R. Foster and H. P. Schwan, "Dielectric properties of tissues and biological materials: A critical review," Crit. Rev. Biomed. Eng., vol. 17, no. 1, pp. 25-104, 1989.
12. J. Latikka, T. Kuurne, and H. Eskola, "Conductivity of living intracranial tissues," Phys. Med. Biol., vol. 46, no. 6, pp. 1611-1616, Jun. 2001. (Pubitemid 32519742)
13. C. Gabriel, A. Peyman, and E. H. Grant, "Electrical conductivity of tissue at frequencies below 1 MHz," Phys. Med. Biol., vol. 54, pp. 4863-4878, 2009.
14. D. Xiu, Numerical Methods for Stochastic Computations: A Spectral Method Approach. Princeton, NJ: Princeton Univ. Press, 2010.
15. H. Osnes and S. Joakim, "Uncertainty analysis of ventricular mechanics using the probabilistic collocation method," IEEE Trans. Biomed. Eng., vol. 59, no. 8, pp. 2171-2179, Aug. 2012.
16. J. S. Preston, T. Tasdizen, C. M. Terry, A. K. Cheung, and M. K. Robert, "Using the stochastic collocationmethod for the uncertainty quantification of drug concentration due to depot shape variability," IEEE Trans. Biomed. Eng., vol. 56, no. 3, pp. 609-620, Mar. 2009.
17. B. Sudret, M. Berveiller, and M. Lemaire, "A stochastic finite element procedure for moment and reliability analysis," Eur. J. Comput. Mech., vol. 15, pp. 825-866, 2006.
18. L. Nechak, S. Berger, and E. Aubry, "Non-intrusive generalized polynomial chaos approach to the stability analysis of uncertain nonlinear dynamic systems," in Proc. 8th Int. Multi-Conf. Syst. Signals Dev., 2011, pp. 1-6.
19. F. Nobile, R. Tempone, and C. G. Webster, "A sparse grid stochastic collocation method for partial differential equations with random input data," SIAM J. Numer. Anal., vol. 46, no. 5, pp. 2309-2345, May 2008.
20. T. Rohlfing, N. M. Zahr, E. V. Sullivan, and A. Pfefferbaum, "The SRI24 multi-channel brain atlas," in Proc. Soc. Photo Opt. Instrum. Eng., 2008, vol. 6914, pp. 691409-1-691409-12.
21. C. Schmidt and U. van Rienen, "Modeling the field distribution in deep brain stimulation: The influence of anisotropy of brain tissue," IEEE Trans. Bio-Med. Eng., vol. 59, no. 6, pp. 1583-1592, Jun. 2012.
22. K. A. Follett, F. M. Weaver, M. Stern, K. Hur, C. L. Harris, P. Luo, W. J. J. Marks, J. Rothlind, O. Sagher, C. Moy, R. Pahwa, K. Burchiel, P. Hogarth, E. C. Lai, J. E. Duda, K. Holloway, A. Samii, S. Horn, J. M. Bronstein, G. Stoner, P. A. Starr, R. Simpson, G. Baltuch, A. De Salles, G. D. Huang, and D. J. Reda, "Pallidal versus subthalamic deepbrain stimulation for Parkinson's disease," New Engl. J. Med., vol. 362, pp. 2077-2091, 2010.
23. C. C. McIntyre, A. G. Richardson, and W. M. Grill, "Modeling the excitability of mammalian nerve fibers: Influence of afterpotentials on the recovery cycle," J. Neurophysiol., vol. 87, no. 2, pp. 995-1006, Feb. 2002. (Pubitemid 34670861)
24. M. S. Eldred, C. G. Webster, and P. G. Constantine, "Evaluation of nonintrusive approaches for Wiener-Askey generalized polynomial chaos," presented at the 10th AIAA Nondetermin. Approach. Conf., Apr. 2008, Paper AIAA-2008-1892.
25. S. H. Lee and W. Chen, "A comparative study of uncertainty propagation methods for black-box-type problems," Struct. Multidisc. Optim., vol. 37, no. 3, pp. 239-253, Jan. 2009.
26. J.Waldvogel, "Fast construction of the Fej́er and Clenshaw-Curtis quadrature rules," BIT Numer. Math., vol. 46, pp. 195-202, 2006.
27. C. Schmidt and U. van Rienen, "Quantification of uncertainties in brain tissue conductivity in a heterogeneous model of deep brain stimulation using a non-intrusive projection approach," in Proc. IEEE 34th Annu. Int. Conf. Eng. Med. Biol. Soc., Aug./Sep. 2012, pp. 4136-4139.
28. C. R. Butson and C. C. McIntyre, "Tissue and electrode capacitance reduce neural activation volumes during deep brain stimulation," Clin. Neurophysiol., vol. 116, pp. 2490-2500, 2005. (Pubitemid 41265978)
29. X. F.Wei andW. M. Grill, "Impedance characteristics of deep brain stimulation electrodes in vitro and in vivo," J. Neural. Eng., vol. 6, pp. 046008-1-046008-9, 2009.
30. M. L. Hines and N. T. Carnevale, "The neuron simulation environment," Neur. Comput., vol. 9, no. 6, pp. 1179-209, Aug. 1997. (Pubitemid 127469144)
31. E. Jones, T. Oliphant, P. Peterson et al., "SciPy: Open source scientific tools for python," 2001. Available: http://www.scipy.org
32. C. A. Bossetti, M. J. Birdno, andW. M. Grill, "Analysis of the quasi-static approximation for calculating potentials generated by neural stimulation," J. Neur. Eng., vol. 5, pp. 44-53, 2008. (Pubitemid 351366602)
33. R. Plonsey and D. B. Heppner, "Considerations of quasi-stationarity in electrophysiological systems," B Math. Biophys., vol. 29, pp. 657-664, 1967.
34. M. S. Okun, H. H. Fernandez, S. S. Wu, L. Kirsch-Darrow, D. Bowers, F. Bova, M. Suelter, C. E. Jacobson, X. Wang, C. W. Gordon, P. Zeilman, J. Romrell, P. Martin, H. Ward, R. L. Rodriguez, and K. D. Foote, "Cognition and mood in Parkinson's disease in subthalamic nucleus versus globus pallidus interna deep brain stimulation: The COMPARE trial," Ann. Neurol., vol. 65, pp. 586-595, 2009.
35. C. Guigoni, Q. Li, I. Aubert, S. Dovero, B. H. Bioulac, B. Bloch, A. R. Crossman, C. E. Gross, and E. Bezard, "Involvement of sensorimotor, limbic, and associative basal ganglia domains in L-3,4-dihydroxyphenylalanine-induced dyskensia," J. Neurosci., vol. 25, pp. 2912-2107, 2005.
36. M. S. Okun, B. V. Gallo, G.Mandybur, J. Jagid, K. D. Foote, F. J. Revilla, R. Alterman, J. Jankovic, R. Simpson, F. Junn, L. Verhagen, J. E. Arle, B. Ford, R. R. Goodman, R. M. Stewart, S. Horn, G. H. Baltuch, B. H. Kopell, F. Marshall, D. Peichel, R. Pahwa, K. E. Lyons, A. I. Tr̈oster, J. L. Vitek, and M. Tagliati, "Subthalamic deep brain stimulationwith a constant-current device in Parkinson's disease: An open-label randomised controlled trial," Lancet Neurol., vol. 11, pp. 140-149, 2012.
37. M. Axer, K. Amunts, D. Gr̈assel, J. Dammer, H. Axer, U. Petrzyk, and K. Zilles, "A novel approach to the human connectome: Ultra-high resolution mapping of fiber tracts in the brain," NeuroImage, vol. 54, pp. 1091-1101, 2011.