Brain mapping with transcranial magnetic stimulation using a refined correlation ratio and Kendall's τ

Statistics in Medicine

Volumn 27, Issue 25, 2008, Pages 5252-5270

  Matthaus L ^a   Trillenberg, P ^a   Fadini, T ^b   Finke, M ^a   Schweikard, A ^a  

^a UNIVERSITY OF LÜBECK   (Germany)

^b UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

Brain mapping; Correlation ratio; Kendall's ; Parzen windowing; Transcranial magnetic stimulation

Indexed keywords

ARTICLE; BRAIN MAPPING; HUMAN; METHODOLOGY; STATISTICAL MODEL; STATISTICS; TRANSCRANIAL MAGNETIC STIMULATION;

BRAIN MAPPING; HUMANS; MODELS, STATISTICAL; TRANSCRANIAL MAGNETIC STIMULATION;

EID: 60249091123     PISSN: 02776715     EISSN: 10970258     Source Type: Journal    
DOI: 10.1002/sim.3353     Document Type: Article

References (36)

1. Barker AT, Jalinous R, Freeston IL. Non-invasive magnetic stimulation of human motor cortex. The Lancet 1985: 8437(1 ):1106-1107.
2. Brasil-Neto JP, Cohen LG, Panizza M, Nilsson J, Roth BJ, Hallett M. Optimal focal transcranial magnetic activation of the human motor cortex: effects of coil orientation, shape of the induced current pulse, and stimulus intensity. Journal of Clinical Neurophysiology 1992: 9(1):132-136.
3. Ettinger GJ, Leventon ME, Grimson WE, Kikinis R, Gugino L, Cote W, Sprung L, Aglio L, Shenton ME, Potts G, Hernandez VL, Alexander E. Experimentation with a transcranial magnetic stimulation system for functional brain mapping. Medical Image Analysis 1998; 2(2): 133-142.
4. Herwig U, Kölbel K, Wunderlich AP, Thielscher A, von Tiesenhausen C, Spitzer M, SchOnfeldt-Lecuona C. Spatial congruence of neuronavigated transcranial magnetic stimulation and functional neuroimaging. Clinical Neurophysiology 2002; 113:462-468.
5. Okamoto M, Dan I. Automated cortical projection of head-surface locations for transcranial functional brain mapping. Neuroimage 2005; 26(l):18-28. Available from: http://dx.doi.Org/10.1016/j.neuroimage.2005.01.018.
6. Classen J, Knorr U, Werhahn KJ, Schlaug G, Kunesch E, Cohen LG, Seitz RJ, Benecke R. Multimodal output mapping of human central motor representation on different spatial scales. Journal of Physiology 1998; 512(Pt 1):163-179.
7. Pascual-Leone A, Davey NJ, Rothwell J, Wassermann EM, Puri BK. Handbook of Transcranial Magnetic Stimulation. Arnold: Paris, 2002.
8. Roth Y. Zangen A, Hallett M. A coil design for transcranial magnetic stimulation of deep brain regions. Journal of Clinical Neurophysiology 2002; I9(4):361-370.
9. Thielscher A, Kammer T. Linking physics with physiology in TMS: a sphere field model to determine the cortical stimulation site in TMS. Neuroimage 2002; 17(3):1117-1130.
10. Nadaraya EA. On estimating regression. Theory of Probability and its Applications 1964; 10:186-190.
11. Watson GS. Smooth regression analysis. Sankhya 1964; A26:101-106.
12. Pearson K. On the General Theory of Skew Correlation and Non-linear Regression. Drapers' Company Research Memoirs, Dulau and Co. 1905.
13. Roche A, Malandain G, Ayache N. The correlation ratio as a new similarity measure for multimodal image registration. In Proceedings of the First International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI'98). Lecture Notes in Computer Science, vol. 1496. Springer: Cambridge, U.S.A., 1998; 1115-1124.
14. Papoulis A, Pillai SU. Probability, Random Variables and Stochastic Processes (4th edn). McGraw-Hill, Inc.: New York, 2002.
15. Press WH, Teukolsky SA, Vetterling WT, Flannery BP. Numerical Recipes in C++. The Art of Scientific Computing (2nd edn). Cambridge University Press: Cambridge, U.K., 2002.
16. Kelley TL. An unbiased correlation ratio measure. Proceedings of the National Academy of Sciences of the United States of America 1935; 21(9):554-559.
17. Fox J. Nonparametric Simple Regression: Smoothing Scatterplots. Sage Publications: Beverley Hills, CA, 2000.
18. Takezawa K. Introduction to Nonparametric Regression. Wiley-Interscience: New York, 2006.
19. Parzen E. On estimation of a probability density function and mode. The Annals of Mathematical Statistics 1962: 33(3): 1065-1076.
20. Fox PT, Narayana S, Tandon N, Sandoval H, Fox SP, Kochunov P, Lancaster JL. Column-based model of electric field excitation of cerebral cortex. Human Brain Mapping 2004; 22(1):1-14.
21. Matthäus L, Giese A, Wertheimer D, Schweikard A. Planning and analyzing robotized TMS using virtual reality. In Medicine Meets Virtual Reality 14: Accelerating Change in Healthcare: Next Medical Toolkit. Studies in Health Technology and Informatics, vol. 119. IOS Press, 2005; 373-378. Available from: http://iospress.metapress.coin/content/717g7mv9xe37hh60/.
22. Matthäus L, Fadini T, Trillenberg P, Giese A, Rasche D, Bodensteiner C, Martens V, Finke M. Schweikard A. Robotised transcranial magnetic stimulation. IEEE Transactions on Robotics, submitted.
23. Nayfeh MH, Brussel MK. Electricity and Magnetism. Wiley: New York, 1985.
24. Malmivuo J, Plonsey R. Bioelectromagnetism: Principles and Applications of Bioelectric and Biomagnetic Fields. Oxford University Press: New York, 1995.
25. Epstein CM, Schwartzberg DG, Davey KR, Sudderth DB. Localizing the site of magnetic brain stimulation in humans. Neurology 1990; 40(4):666-670.
26. Rudiak D, Marg E. Finding the depth of magnetic brain stimulation: a re-evaluation. Electroencephalogrophy and Clinical Neurophysiology 1994; 93(5):358-371.
27. Salinas FS, Lancaster JL, Fox PT. Detailed 3D models of the induced electric field of transcranial magnetic stimulation coils. Physics in Medicine and Biology 2007 ; 52(10):2879-2892.
28. Nunez P, Srinivasan R. Electric Fields of the Brain: The Neurophysics of EEG (2nd edn). Oxford University Press: Oxford, 2006.
29. Friston KJ, Holmes AP, Poline JB, Grasby PJ, Williams SC, Frackowiak RS, Turner R. Analysis of fMRI time-series revisited. Neuroimage 1995; 2(l):45-53. Available from: http://dx.doi.org/10.1006/nimg.1995.1007.
30. Rorden C. MRIcro software. Version 1.40. www.mricro.com.
31. Yousry TA, Schmid UD, Alkadhi H, Schmidt D, Peraud A, Buettner A, Winkler P. Localization of the motor hand area to a knob on the precentral gyrus. A new landmark. Brain 1997; 120(Pt 1):141-157.
32. Bahr M, Frotscher M. Duns' Neurologisch-topische Diagnostik (8th edn). Georg Thieme Verlag: Leipzig, 2003.
33. Kammer T, Beck S, Thielscher A, Laubis-Herrmann U, Topka H. Motor thresholds in humans: a transcranial magnetic stimulation study comparing different pulse waveforms, current directions and stimulator types. Clinical Neurophysiology 2001: 112(2):250-258.
34. Brasil-Neto JP, McShane LM, Fuhr P. Hallett M, Cohen LG. Topographic mapping of the human motor cortex with magnetic stimulation: factors affecting accuracy and reproducibility. Electroencephalography and Clinical Neurophysiology 1992; 85(1):9-16.
35. Krings T, Buchbinder BR, Butler WE, Chiappa KH, Jiang HJ, Rosen BR, Cosgrove GR. Stereotactic transcranial magnetic stimulation: correlation with direct electrical cortical stimulation. Neurosurgery 1997 ; 41(6): 1319- 1325. Discussion 1325-1326.
36. Roth BJ, Saypol JM, Hallett M, Cohen LG. A theoretical calculation of the electric field induced in the cortex during magnetic stimulation. Electroencephalography and Clinical Neurophysiology 1991; 81(1 ):47-56.