Birhythmic Analog Circuit Maze: A Nonlinear Neurostimulation Testbed
Brain dynamics can exhibit narrow-band nonlinear oscillations and multistability. For a subset of disorders of consciousness and motor control, we hypothesized that some symptoms originate from the inability to spontaneously transition from one attractor to another. Using external perturbations, suc...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-05-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/22/5/537 |
| _version_ | 1827717101075300352 |
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| author | Ian D. Jordan Il Memming Park |
| author_facet | Ian D. Jordan Il Memming Park |
| author_sort | Ian D. Jordan |
| collection | DOAJ |
| description | Brain dynamics can exhibit narrow-band nonlinear oscillations and multistability. For a subset of disorders of consciousness and motor control, we hypothesized that some symptoms originate from the inability to spontaneously transition from one attractor to another. Using external perturbations, such as electrical pulses delivered by deep brain stimulation devices, it may be possible to induce such transition out of the pathological attractors. However, the induction of transition may be non-trivial, rendering the current open-loop stimulation strategies insufficient. In order to develop next-generation neural stimulators that can intelligently learn to induce attractor transitions, we require a platform to test the efficacy of such systems. To this end, we designed an analog circuit as a model for the multistable brain dynamics. The circuit spontaneously oscillates stably on two periods as an instantiation of a 3-dimensional continuous-time gated recurrent neural network. To discourage simple perturbation strategies, such as constant or random stimulation patterns from easily inducing transition between the stable limit cycles, we designed a state-dependent nonlinear circuit interface for external perturbation. We demonstrate the existence of nontrivial solutions to the transition problem in our circuit implementation. |
| first_indexed | 2024-03-10T19:54:55Z |
| format | Article |
| id | doaj.art-dbbfa6d6eab247ffbad058fe23cc1db6 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T19:54:55Z |
| publishDate | 2020-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-dbbfa6d6eab247ffbad058fe23cc1db62023-11-20T00:06:51ZengMDPI AGEntropy1099-43002020-05-0122553710.3390/e22050537Birhythmic Analog Circuit Maze: A Nonlinear Neurostimulation TestbedIan D. Jordan0Il Memming Park1Department of Applied Mathematics and Statistics, Stony Brook University, Stony Brook, NY 11794, USADepartment of Applied Mathematics and Statistics, Stony Brook University, Stony Brook, NY 11794, USABrain dynamics can exhibit narrow-band nonlinear oscillations and multistability. For a subset of disorders of consciousness and motor control, we hypothesized that some symptoms originate from the inability to spontaneously transition from one attractor to another. Using external perturbations, such as electrical pulses delivered by deep brain stimulation devices, it may be possible to induce such transition out of the pathological attractors. However, the induction of transition may be non-trivial, rendering the current open-loop stimulation strategies insufficient. In order to develop next-generation neural stimulators that can intelligently learn to induce attractor transitions, we require a platform to test the efficacy of such systems. To this end, we designed an analog circuit as a model for the multistable brain dynamics. The circuit spontaneously oscillates stably on two periods as an instantiation of a 3-dimensional continuous-time gated recurrent neural network. To discourage simple perturbation strategies, such as constant or random stimulation patterns from easily inducing transition between the stable limit cycles, we designed a state-dependent nonlinear circuit interface for external perturbation. We demonstrate the existence of nontrivial solutions to the transition problem in our circuit implementation.https://www.mdpi.com/1099-4300/22/5/537dynamical systemsbistabilitybirhythmicanalog circuitneurostimulation |
| spellingShingle | Ian D. Jordan Il Memming Park Birhythmic Analog Circuit Maze: A Nonlinear Neurostimulation Testbed Entropy dynamical systems bistability birhythmic analog circuit neurostimulation |
| title | Birhythmic Analog Circuit Maze: A Nonlinear Neurostimulation Testbed |
| title_full | Birhythmic Analog Circuit Maze: A Nonlinear Neurostimulation Testbed |
| title_fullStr | Birhythmic Analog Circuit Maze: A Nonlinear Neurostimulation Testbed |
| title_full_unstemmed | Birhythmic Analog Circuit Maze: A Nonlinear Neurostimulation Testbed |
| title_short | Birhythmic Analog Circuit Maze: A Nonlinear Neurostimulation Testbed |
| title_sort | birhythmic analog circuit maze a nonlinear neurostimulation testbed |
| topic | dynamical systems bistability birhythmic analog circuit neurostimulation |
| url | https://www.mdpi.com/1099-4300/22/5/537 |
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