@inproceedings{4147452bd77a45ca959b96ddae06e0e2,
title = "Indistinguishability analysis and observer design for size-structured cell populations",
abstract = "The observability property of population balance equations with biomass measurements is addressed within the framework of indistinguishable trajectories. The population balance equation is described by a partial integro-differential equation which is coupled with an ordinary differential equation for the nutrient dynamics. For the semi-discretized model equations, the dynamics of indistinguishable trajectories are derived and evaluated for the special case of equal partitioning at cell division revealing that the observability property is guaranteed as long as the nutrient concentration is not depleted. Based on these results, an observer is designed and tested in simulation to estimate the cell population distribution using biomass measurements in a batch bioreactor for the case of a bi-structured population.",
keywords = "cell population dynamics, indistinguishable trajectories, Observability",
author = "P. Jerono and Winkin, {J. J.} and {Vande Wouwer}, A. and A. Schaum",
note = "Publisher Copyright: Copyright {\textcopyright} 2023 The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/); 22nd IFAC World Congress ; Conference date: 09-07-2023 Through 14-07-2023",
year = "2023",
month = jul,
day = "1",
doi = "10.1016/j.ifacol.2023.10.1630",
language = "English",
series = "IFAC-PapersOnLine",
publisher = "Elsevier",
pages = "581--586",
editor = "Hideaki Ishii and Yoshio Ebihara and Jun-ichi Imura and Masaki Yamakita",
booktitle = "IFAC-PapersOnLine",
address = "Netherlands",
edition = "2",
}