A simple mathematical lung model of Chronic Obstructive Pulmonary Disease (COPD)

Carlotta Hennigs; Franziska Bilda; Jan Graßhoff; Philipp Rostalski; Tim Tristan Hardel

A simple mathematical lung model of Chronic Obstructive Pulmonary Disease (COPD)

Carlotta Hennigs, Franziska Bilda, Jan Graßhoff, Philipp Rostalski, Tim Tristan Hardel

Abstract

This article proposes a one-compartment COPD model and demonstrates the identification of the model parameters using one illustrative patient data set. A linear lung mechanics model is extended by a volume-dependent airway resistance to mimic the dynamic behavior during expiration in typical COPD patients. The model parameters are analytically identified with a focus on the switching time constants of the lung mechanics. The fitted model parameters are in a pathophysiological plausible range. The results show the ability of this simple model to represent the overall lung mechanics characteristic of COPD disease and a feasible first approach for the identification of the model parameters.

Original language	German
Number of pages	2
Publication status	Published - 2023

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Access to Document

https://www.journals.infinite-science.de/index.php/automed/article/view/723/402

Cite this

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title = "A simple mathematical lung model of Chronic Obstructive Pulmonary Disease (COPD)",

abstract = "This article proposes a one-compartment COPD model and demonstrates the identification of the model parameters using one illustrative patient data set. A linear lung mechanics model is extended by a volume-dependent airway resistance to mimic the dynamic behavior during expiration in typical COPD patients. The model parameters are analytically identified with a focus on the switching time constants of the lung mechanics. The fitted model parameters are in a pathophysiological plausible range. The results show the ability of this simple model to represent the overall lung mechanics characteristic of COPD disease and a feasible first approach for the identification of the model parameters.",

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AU - Rostalski, Philipp

AU - Hardel, Tim Tristan

PY - 2023

Y1 - 2023

N2 - This article proposes a one-compartment COPD model and demonstrates the identification of the model parameters using one illustrative patient data set. A linear lung mechanics model is extended by a volume-dependent airway resistance to mimic the dynamic behavior during expiration in typical COPD patients. The model parameters are analytically identified with a focus on the switching time constants of the lung mechanics. The fitted model parameters are in a pathophysiological plausible range. The results show the ability of this simple model to represent the overall lung mechanics characteristic of COPD disease and a feasible first approach for the identification of the model parameters.

AB - This article proposes a one-compartment COPD model and demonstrates the identification of the model parameters using one illustrative patient data set. A linear lung mechanics model is extended by a volume-dependent airway resistance to mimic the dynamic behavior during expiration in typical COPD patients. The model parameters are analytically identified with a focus on the switching time constants of the lung mechanics. The fitted model parameters are in a pathophysiological plausible range. The results show the ability of this simple model to represent the overall lung mechanics characteristic of COPD disease and a feasible first approach for the identification of the model parameters.

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