Control of stochastic mean-field equations with applications to brain networks (A10*)

• Subject Area: Mathematics
• Term: from 2019 to 2022
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 163436311

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 math-ematical literature only quite recently and studied mainly from the theoretical perspective. Their application to neural systems has not yet been investigated.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 910: Control of Self-Organising Non-Linear Systems: Theoretical Methods and Concepts of Application
• Applicant Institution: Technische Universität Berlin
• Project Head: Professor Dr. Wilhelm Stannat