Advances in Control Systems and Diabetes Management

The field of control systems and diabetes management is rapidly evolving, with a focus on developing more accurate and personalized models for glucose-insulin dynamics. Recent research has explored the use of artificial intelligence, machine learning, and data-driven approaches to improve the precision and adaptability of insulin delivery systems. The integration of pramlintide, a hormone that delays gastric emptying, into automated insulin delivery systems has shown promising results in reducing postprandial glucose excursion. Additionally, the development of new control algorithms, such as the Koopman-Nemytskii operator, has enabled more accurate modeling of nonlinear controlled systems. Noteworthy papers include the introduction of the Invertible Koopman Neural Operator, which provides a novel data-driven modeling approach for partial differential equations, and the integration of biological-informed recurrent neural networks for glucose-insulin dynamics modeling, which has shown superior performance in capturing complex behaviors and control systems dynamics.

Sources

An AI-enabled dual-hormone model predictive control algorithm that delivers insulin and pramlintide

Koopman-Nemytskii Operator: A Linear Representation of Nonlinear Controlled Systems

The Role of Artificial Intelligence in Enhancing Insulin Recommendations and Therapy Outcomes

Temporally-Consistent Bilinearly Recurrent Autoencoders for Control Systems

Integrating Biological-Informed Recurrent Neural Networks for Glucose-Insulin Dynamics Modeling

Data-Driven, ML-assisted Approaches to Problem Well-Posedness

Invertible Koopman neural operator for data-driven modeling of partial differential equations

Dynamics of Structured Complex-Valued Hopfield Neural Networks

Which variables of a numerical problem cause ill-conditioning?

Integrated utilization of equations and small dataset in the Koopman operator: applications to forward and inverse Problems

Cubature Kalman Filter as a Robust State Estimator Against Model Uncertainty and Cyber Attacks in Power Systems

Connecting Kaporin's condition number and the Bregman log determinant divergence

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