Analysis of the Mechanism of Action of Deep Brain Stimulation Using the Concepts of Dither Injection and the Equivalent Nonlinearity

IEEE Transactions on Biomedical Engineering

Volumn 56, Issue 11, 2009, Pages 2717-2720

  de Paor, Annraoi M ^a   Lowery, Madeleine M ^a  

^a UNIVERSITY COLLEGE DUBLIN   (Ireland)

Author keywords

Control theory; deep brain stimulation (DBS); model

Indexed keywords

ACTION POTENTIAL; ARTICLE; BASAL GANGLION; BIOLOGICAL MODEL; COMPUTER ASSISTED THERAPY; COMPUTER SIMULATION; HUMAN; METHODOLOGY; NERVE CELL NETWORK; NONLINEAR SYSTEM; PARKINSON DISEASE; PATHOPHYSIOLOGY;

ACTION POTENTIALS; BASAL GANGLIA; COMPUTER SIMULATION; HUMANS; MODELS, NEUROLOGICAL; NERVE NET; NONLINEAR DYNAMICS; PARKINSON DISEASE; THERAPY, COMPUTER-ASSISTED;

EID: 74049110968     PISSN: 00189294     EISSN: 15582531     Source Type: Journal    
DOI: 10.1109/TBME.2009.2019962     Document Type: Article

References (23)

1. R. L. Albin, A. B. Young, and J. B. Penney “The functional anatomy of basal ganglia disorders,” Trends Neurosci., vol. 12, pp. 366–375, 1989.
2. I. S. Cooper, A. R. Upton, and I. Amin, “Reversibility of chronic neurologic deficits. Some effects of electrical stimulation of the thalamus and internal capsule in man,” Appl. Neurophysiol., vol. 43, pp. 244–258, 1980.
3. G. Mazars, L. Merienne, and C. Cioloca “Control of dyskinesias due to sensory deafferentation by means of thalamic stimulation,” Acta Neu-rochir. Suppl. (Wien), vol. 30, pp. 239–243, 1980.
4. A. L. Benabid, A. Benazzous, and P. Pollak, “Mechanisms of deep brain stimulation,” Mov. Disord., vol. 17, pp. S73–S74, 2002.
5. M. J. Birdno, S. E. Cooper, A. R. Rezai, and W. M. Grill, “Pulse-to-pulse changes in the frequency of deep brain stimulation affect tremor and modeled neuronal activity,” J. Neurophysiol., vol. 98, pp. 1675–1684, 2007.
6. M. J. Birdno and W. M. Grill, “Mechanisms of deep brain stimulation in movement disorders as revealed by changes in stimulus frequency,” Neurotherapeutics, vol. 5, pp. 14–25, 2008.
7. W. M. Grill, A. N. Snyder, and S. Miocinovic, “Deep brain stimulation creates an informational lesion of the stimulated nucleus,” Neuroreport, vol. 15, pp. 1137–1140, 2004.
8. J. E. Rubin and D. Terman, “High frequency stimulation of the subthalamic nucleus eliminates pathological thalamic rhythmicity in a computational model,” J. Comput. Neurosci., vol. 16, pp. 211–235, 2004.
9. P. Brown, “Bad oscillations in Parkinson's disease,” J. Neural Transmiss. Suppl., vol. 70, pp. 27–30, 2006.
10. O. I. Elgerd, Control Systems Theory. New York: McGraw-Hill, 1967.
11. R. J. Simpson and H. M. Power “Applications of high-frequency signal injection in nonlinear-systems,” Int. J. Control, vol. 26, pp. 917–943, 1977.
12. D. Plenz and S. T. Kital, “A basal ganglia pacemaker formed by the subthalamic nucleus and external globus pallidus,” Nature, vol. 400, pp. 677–682, 1999.
13. S. Breit, J. B. Schulz, and A. L. Benabid, “Deep brain stimulation,” Cell Tissue Res., vol. 318, pp. 275–288, 2004.
14. G. Deco, V. K. Jirsa, P. A. Robinson, M. Breakspear, and K. Friston, “The dynamic brain: From spiking neurons to neural masses and cortical fields,” Plos Comput. Biol., vol. 4, p. e1000092, 2008.
15. M. Rosenblum and A. Pikovsky, “Delayed feedback control of collective synchrony: An approach to suppression of pathological brain rhythms,” Phys. Rev. E Stat. Nonlinear Soft Matter Phys., vol. 70, pp. 041904-1–041904-11, 2004.
16. Y. Kuramoto, Chemical Oscillations, Waves and Turbulence. Berlin, Germany: Springer-Verlag, 1984.
17. J. D. Crawford “Amplitude expansions for instabilities in populations of globally-coupled oscillators,” J. Stat. Phys., vol. 74, pp. 1047–1084, 1994.
18. A. de Paor and J. Ringwood, “A simple soft limiter describing function for biomedical applications,” IEEE Trans. Biomed. Eng., vol. 53, no. 7, pp. 1233–1240, Jul. 2006.
19. A. Emami-Naeini, G. F. Franklin, and J. D. Powell, Feedback Control of Dynamic Systems. Reading, MA: Addison-Wesley, 2005.
20. H. M. Power and R. J. Simpson, Introduction to Dynamics and Control. London, U.K.: McGraw-Hill, 1978.
21. C. R. Butson and C. C. McIntyre, “Differences among implanted pulse generator waveforms cause variations in the neural response to deep brain stimulation,” Clin. Neurophysiol., vol. 118, pp. 1889–1894, 2007.
22. A. Gelb and W. E. Vander Velde, Multiple-Input Describing Functions and Nonlinear System Design. New York: McGraw-Hill, 1968.
23. O. V. Popovych, C. Hauptmann, and P. A. Tass, “Effective desynchronization by nonlinear delayed feedback,” Phys. Rev. Lett., vol. 94, pp. 164102-1–164102-4, 2005.