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Sonderforschungsbereich 910A10

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A10: Control of stochastic mean-field equations with applications to brain networks

Principal investigator:

Prof. Dr. Wilhelm Stannat


Project summary:

The main goal of this project is to develop the control theory of stochastic mean-field equations, and in
parallel, stochastic reaction-diffusion systems, with a view towards potential applications to the control
of brain states, described in terms of large systems of weakly coupled stochastic differential equations
driving the internal dynamics of single neurons. Special emphasize will be laid on so called mean-field
controls as mathematical models for non-invasive external stimulations of brain states. Such controls
have been introduced in the mathematical literature only quite recently and studied mainly from the
theoretical perspective. Their application to neural systems has not yet been investigated.



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