Work

Modeling of bio-heat transfers in lungs with fractional models

Year: 2025

Type: article

Abstract: In cardiac surgeries, when cardiopulmonary bypass (CPB) (or extracorporeal circulation (ECC)) is employed, the lungs are temporarily disconnected from the body. To minimize the risk of tissue damage or respiratory complications, the lungs are subjected to mild hypothermia. Incorporating dynamic heat transfer modeling offers the potential to enhance temperature regulation through a more advanced approach. A complex thermal model, based on a thermal two-port network, offers a wide frequency range applicability, making it suitable for modeling the human breathing frequencies. This modeling approach can also be adapted to incorporate the influence of blood flow, which serves as a natural temperature regulator in the human body. This is accomplished by combining the thermal two-port network with the bio-heat equation. The main contributions focus on introducing distinctive and simplified approximation models for the equivalent global impedance of thermal transfer within the lungs. These models, featuring minimal parameters, manifest comparable dynamic traits in the frequency domain, akin to the attributes of the two-port network model. This progress clears the way for broader utilization across various domains.

Source: Annual Reviews in Control

DOI: 10.1016/j.arcontrol.2025.101010

Authors: Enso Ndreko, Stéphane Victor, Jean-François Duhé, Pierre Melchior

Institutions: Centre National de la Recherche Scientifique, Université de Bordeaux, Laboratoire de l'Intégration du Matériau au Système, Institut Polytechnique de Bordeaux, Universidad de Panamá

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

SDG: Good health and well-being

Open Access status: hybrid

Estimated APC paid: $3,940