Design of Charge-Balanced Time-Optimal Stimuli for Spiking Neuron Oscillators
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Summary
The applicability of the derived optimal control laws are demonstrated by applying them to mathematically ideal and experimentally observed neuron phase models, including the widely studied Hodgkin-Huxley phase model, and by verifying them with the corresponding original full state-space models.
- Type
- article
- Published
- 2012-11-19
- Cited by
- 13
- References
- 45
- OpenAlex
- https://openalex.org/W25058700
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:25278825
Keywords
Threatened species, Fungus, Geography, Tree (set theory), Service (business)
References
- Chemical Oscillations, Waves, and Turbulence
- Singular Trajectories and Their Role in Control Theory
- Phase resetting in medicine and biology
- How does DBS work?
- Charge-Balanced Minimum-Power Controls for Spiking Neuron Oscillators
- Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting
- Optimal control of neuronal activity.
- Modified Pulse Shapes for Effective Neural Stimulation
- Controlling chaos in the brain
- A quantitative description of membrane current and its application to conduction and excitation in nerve
- A model of desynchronizing deep brain stimulation with a demand-controlled coordinated reset of neural subpopulations
- The dynamics ofn weakly coupled identical oscillators
- Optimal waveform for the entrainment of a weakly forced oscillator.
- Evaluation of novel stimulus waveforms for deep brain stimulation
- Optimal Inputs for Phase Models of Spiking Neurons
- Synchrony in Excitatory Neural Networks
- The nature of the coupling between segmental oscillators of the lamprey spinal generator for locomotion: A mathematical model
- Optimal Subharmonic Entrainment of Weakly Forced Nonlinear Oscillators
- Optimal design of minimum-power stimuli for phase models of neuron oscillators.
- Voltage oscillations in the barnacle giant muscle fiber.
Cited by
- Optimal Control of Weakly Forced Nonlinear Oscillators
- Optimal Subharmonic Entrainment of Weakly Forced Nonlinear Oscillators
- Optimal Control and Stochastic Synchronization of Phase Oscillators
- The Geometry of Plasticity-Induced Sensitization in Isoinhibitory Rate Motifs
- Nonlinear Problems and Hölder's Inequality
- Robust Engineering of Dynamic Structures in Complex Networks
- Optimal waveform for entrainment of a spiking neuron with minimum stimulating charge
- Delayed Feedback-Based Suppression of Pathological Oscillations in a Neural Mass Model
- Entrainment of a network of interacting neurons with minimum stimulating charge.
- Intensity-Varied Closed-Loop Noise Stimulation for Oscillation Suppression in the Parkinsonian State
- Nonlinear optimal control of a mean-field model of neural population dynamics
- Data-Driven Control of Neuronal Networks with Population-Level Measurement
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