Advances Of Optimal Control In Biomedical Engineering

Marius-Alin Dragu; Savin Treanță

doi:10.29284/vr0e0m22

Authors

Marius-Alin Dragu Department of Bioengineering and Biotechnology, National University of Science and Technology Politehnica Bucharest, 060042 Bucharest, Romania
Savin Treanță Department of Applied Mathematics, National University of Science and Technology Politehnica Bucharest, 060042 Bucharest, Romania

DOI:

https://doi.org/10.29284/vr0e0m22

Keywords:

Biomedical Applications; Multi-Time; Optimal Control Problem; Single-Time.

Abstract

Controlled optimization problems constitute a fundamental mathematical framework with wide-ranging applications in biomedical engineering and related fields. This paper surveys recent biomedical applications that employ optimal control formulations governed by ordinary and partial differential equations, including treatment procedures, neuroscience, medical imaging, epidemiological modelling, and emerging nanomedical technologies. The literature highlights both single-time and multi-time optimization approaches. We aim to bridge theoretical developments in controlled optimization with practical biomedical applications.

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