ArticleFrontiers in computational neuroscience2022
Nonlinear optimal control of a mean-field model of neural population dynamics.
Article in Frontiers in computational neuroscience, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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2 citing papers in PubMed.
- Network state transitions under deep brain stimulation: A Wilson-Cowan model of Parkinson's Disease.Journal of computational neuroscience · 2026Article
- A framework for optimal control of oscillations and synchrony applied to non-linear models of neural population dynamics.Frontiers in computational neuroscience · 2024Article
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Abstract
We apply the framework of nonlinear optimal control to a biophysically realistic neural mass model, which consists of two mutually coupled populations of deterministic excitatory and inhibitory neurons. External control signals are realized by time-dependent inputs to both populations. Optimality is defined by two alternative cost functions that trade the deviation of the controlled variable from its target value against the "strength" of the control, which is quantified by the integrated 1- and 2-norms of the control signal. We focus on a bistable region in state space where one low- ("down state") and one high-activity ("up state") stable fixed points coexist. With methods of nonlinear optimal control, we search for the most cost-efficient control function to switch between both activity states. For a broad range of parameters, we find that cost-efficient control strategies consist of a pulse of finite duration to push the state variables only minimally into the basin of attraction of the target state. This strategy only breaks down once we impose time constraints that force the system to switch on a time scale comparable to the duration of the control pulse. Penalizing control strength
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