Minimum energy desynchronizing control for coupled neurons
暂无分享,去创建一个
[1] Peter A. Tass,et al. Control of Neuronal Synchrony by Nonlinear Delayed Feedback , 2006, Biological Cybernetics.
[2] Jeff Moehlis,et al. Controlling spike timing and synchrony in oscillatory neurons. , 2011, Journal of neurophysiology.
[3] Ronald Fedkiw,et al. Level set methods and dynamic implicit surfaces , 2002, Applied mathematical sciences.
[4] Chi-Wang Shu,et al. Strong Stability-Preserving High-Order Time Discretization Methods , 2001, SIAM Rev..
[5] S. Osher,et al. Efficient implementation of essentially non-oscillatory shock-capturing schemes,II , 1989 .
[6] S. Osher,et al. Uniformly high order accurate essentially non-oscillatory schemes, 111 , 1987 .
[7] J. Sethian,et al. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations , 1988 .
[8] Xiao-Jiang Feng,et al. Optimal deep brain stimulation of the subthalamic nucleus—a computational study , 2007, Journal of Computational Neuroscience.
[9] J. Guckenheimer,et al. Isochrons and phaseless sets , 1975, Journal of mathematical biology.
[10] Eric T. Shea-Brown,et al. Toward closed-loop optimization of deep brain stimulation for Parkinson's disease: concepts and lessons from a computational model , 2007, Journal of neural engineering.
[11] Steven J Schiff,et al. Kalman filter control of a model of spatiotemporal cortical dynamics , 2008, BMC Neuroscience.
[12] Jeff Moehlis,et al. A continuation method for computing global isochrons , 2009 .
[13] L. S. Pontryagin,et al. Mathematical Theory of Optimal Processes , 1962 .
[14] J. Moehlis,et al. Time optimal control of spiking neurons , 2011, Journal of Mathematical Biology.
[15] D. Johnston,et al. Foundations of Cellular Neurophysiology , 1994 .
[16] S. Osher,et al. Weighted essentially non-oscillatory schemes , 1994 .
[17] A. Winfree. The geometry of biological time , 1991 .
[18] Eric T. Shea-Brown,et al. Optimal Inputs for Phase Models of Spiking Neurons , 2006 .
[19] Ali Nabi,et al. Charge-Balanced Optimal Inputs for Phase Models of Spiking Neurons , 2009 .
[20] Jeff Moehlis,et al. Canards for a reduction of the Hodgkin-Huxley equations , 2006, Journal of mathematical biology.
[21] Hiroshi Kori,et al. Engineering Complex Dynamical Structures: Sequential Patterns and Desynchronization , 2007, Science.
[22] Philipp Hövel,et al. Time-delayed feedback in neurosystems , 2008, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[23] Eric Shea-Brown,et al. On the Phase Reduction and Response Dynamics of Neural Oscillator Populations , 2004, Neural Computation.
[24] Jeff Moehlis,et al. Continuation-based Computation of Global Isochrons , 2010, SIAM J. Appl. Dyn. Syst..
[25] R. Llinás,et al. Central motor loop oscillations in parkinsonian resting tremor revealed magnetoencephalography , 1996, Neurology.
[26] W. Ditto,et al. Controlling chaos in the brain , 1994, Nature.
[27] P. Lions,et al. Two approximations of solutions of Hamilton-Jacobi equations , 1984 .
[28] Donald E. Kirk,et al. Optimal control theory : an introduction , 1970 .
[29] Jr-Shin Li,et al. Optimal design of minimum-power stimuli for phase models of neuron oscillators. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.
[30] James A. Sethian,et al. Level Set Methods and Fast Marching Methods , 1999 .
[31] Honeycutt,et al. Stochastic Runge-Kutta algorithms. I. White noise. , 1992, Physical review. A, Atomic, molecular, and optical physics.
[32] Wang Hai-bing,et al. High-order essentially non-oscillatory schemes for Hamilton-Jacobi equations , 2006 .
[33] S. Osher,et al. High-order essentially nonsocillatory schemes for Hamilton-Jacobi equations , 1990 .
[34] Ian M. Mitchell,et al. A Toolbox of Level Set Methods , 2005 .
[35] D. Paré,et al. Neuronal basis of the parkinsonian resting tremor: A hypothesis and its implications for treatment , 1990, Neuroscience.
[36] A. Hodgkin,et al. A quantitative description of membrane current and its application to conduction and excitation in nerve , 1990 .
[37] Michael R. Caputo. Foundations of Dynamic Economic Analysis: Optimal Control Theory and Applications , 2005 .
[38] H. Bergman,et al. Neurons in the globus pallidus do not show correlated activity in the normal monkey, but phase-locked oscillations appear in the MPTP model of parkinsonism. , 1995, Journal of neurophysiology.
[39] P. McClintock. Phase resetting in medicine and biology , 2008 .
[40] Ali Nabi,et al. CHARGE-BALANCED SPIKE TIMING CONTROL FOR PHASE MODELS OF SPIKING NEURONS , 2010 .
[41] Ali Nabi,et al. Minimum energy spike randomization for neurons , 2012, 2012 American Control Conference (ACC).
[42] Steven J. Schiff,et al. Towards model-based control of Parkinson's disease , 2010, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[43] Ali Nabi,et al. Nonlinear hybrid control of phase models for coupled oscillators , 2010, Proceedings of the 2010 American Control Conference.
[44] S. Osher,et al. Algorithms Based on Hamilton-Jacobi Formulations , 1988 .
[45] Naomi Ehrich Leonard,et al. Proceedings Of The 2000 American Control Conference , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).
[46] S. Osher,et al. Regular ArticleUniformly High Order Accurate Essentially Non-oscillatory Schemes, III , 1997 .
[47] James P. Keener,et al. Mathematical physiology , 1998 .
[48] M. L. Chambers. The Mathematical Theory of Optimal Processes , 1965 .
[49] Charles J. Wilson,et al. Chaotic Desynchronization as the Therapeutic Mechanism of Deep Brain Stimulation , 2011, Front. Syst. Neurosci..
[50] Ali Nabi,et al. Single input optimal control for globally coupled neuron networks , 2011, Journal of neural engineering.
[51] João Pedro Hespanha,et al. Event-based minimum-time control of oscillatory neuron models , 2009, Biological Cybernetics.