This project is based on a mathematical model of erythropoiesis for anemia, which consists of five hyperbolic population equations describing the production of red blood cells under treatment with epoetin-alfa (EPO). Extended dynamic mode decomposition (EDMD) is utilized to approximate the non-linear dynamical systems by linear ones. This allows for efficient and reliable strategies based on a combination of EDMD and model predictive control (MPC), which produces results comparable with the one obtained in past publications for the original model.
@article{arxiv.2106.11733,
title = {Data-Driven Modeling and Control of Complex Dynamical Systems Arising in Renal Anemia Therapy},
author = {Sabrina Casper and Doris H. Fuertinger and Peter Kotanko and Luca Mechelli and Jan Rohleff and Stefan Volkwein},
journal= {arXiv preprint arXiv:2106.11733},
year = {2021}
}