The Role of Euler's Equations in the Design and Analysis of Respirators and Artificial Lungs
DOI:
https://doi.org/10.59992/IJSR.2025.v4n2p9Keywords:
Euler's Equations, Respirators, Artificial LungsAbstract
Respirators and artificial lungs are vital tools in the healthcare field, used to support patients suffering from critical respiratory conditions. This research is based on the use of Euler's equations to understand and analyze the dynamics of airflow in these devices. We will explore the role of Euler's equations in improving the design of respirators, along with medical examples that illustrate how these equations impact treatment outcomes.
References
1. Fischer, P. R., et al. (2014). “Mathematical Modeling of Ventilator-Induced Lung Injury.” Respiratory Care, 59(12), 1918-1926.
2. Snyder, G. D., et al. (2013). “Mechanical Ventilation and the Risk of Ventilator-Induced Lung Injury.” Critical Care Medicine, 41(9), 2166-2175.
3. Boeckmann, J. M., et al. (2016). “Numerical Simulation of Airflow in the Human Respiratory System.” Journal of Biomechanical Engineering, 138(2), 021012.
4. Duan, M., et al. (2020). “Numerical Simulation of Airflow Patterns in the Human Respiratory Tract: Implications for Ventilator Design.” Journal of Mechanical and Medical Engineering, 125(3), 124–132.
5. Otis, A. B., et al. (1950). “Mechanical Factors in Distribution of Pulmonary Ventilation.” Journal of Applied Physiology, 2(2), 589–594.
6. Li, J., et al. (2019). “Impact of Airway Resistance and Lung Compliance on the Performance of Mechanical Ventilation.” Biomedical Engineering Advances, 18(4), 365–375.
7. Peskin, C. S. (2002). “The Fluid Dynamics of the Human Lung: Mathematical Models and Simulations.” Annual Review of Biomedical Engineering, 4, 369–399.
8. Chang, H. Y., et al. (2021). “Optimizing Ventilator Settings Using Mathematical Models for Patients with ARDS.” Critical Care Reviews, 15(3), 112–121.
9. Beck, K. C., et al. (1996). “Effects of Airflow Resistance and Compliance on the Efficacy of Respiratory Support Devices.” Respiratory Physiology & Neurobiology, 105(3), 237–246.
10. Tawhai, M. H., et al. (2014). “Computational Modeling of Airflow in the Lung: Clinical Implications for Ventilation and Drug Delivery.” Pulmonary Physiology and Therapeutics, 52(1), 20–34.
