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A4: Spatio-temporal patterns: observation, control, and design
Principal investigator:
Prof. Dr. Bernold Fiedler [1]
Summary:
Our goal is a new qualitatively oriented approach to the
observation, the open-loop and feedback control,
and ultimately
the rational design of spatio-temporal patterns of applied relevance.
Mathematical topics
include differential equations on graphs, as
well as partial and delayed differential equations. Applications
include gene regulatory and metabolic networks. Specifically we plan
to address three areas:
(i) qualitative analysis of network
sensitivity;
(ii) observation and control of regulatory
networks;
(iii) rational design of spatio-temporal
dynamics.