Section: Research Program

Classical engineering: Monitoring and control of complex systems

We consider questions of modeling, identification, signal analysis and control with medical or general engineering applications in the continuation of some of the themes presented Section 4.3 .

- Glycemic control in ICUs. Besides the medical questions, the applied mathematics approach is used for contributing to the development of reliable medical devices in cooperation with industry.

- Reduced order cardiac modeling and applications. We consider modeling questions related to Heart Failure with preserved Ejection Fraction (HFpEF): origin of this diastolic dysfunction and compensatory mechanisms. This is relying on previous results on excitation-contraction modeling on the cell scale.

- Identification of transmission line characteristics. We consider inverse scattering techniques and adapted solutions for the weak-loss estimation problem.