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ENCIT 2022

19th Brazilian Congress of Thermal Sciences and Engineering

Simplified mathematical model of thermal response of an abdomen after abdominoplasty

Submission Author: Estela Carraro , PR , Brazil
Co-Authors: Estela Carraro, Alexander Marchione, Carlos Dalmaso Neto, Lauber Martins, Leonardo Oliveira, MARCOS BRIOSCHI, Wellington Balmant, JOSÉ VIRIATO COELHO VARGAS
Presenter: Estela Carraro

doi://10.26678/ABCM.ENCIT2022.CIT22-0527

 

Abstract

The quest for beauty and perfection brings with it an increase in the number of plastic surgeries. Hence, there is a need for effective post-surgery approaches due to the growing demand for good results in a short recovery time. Among the different types of plastic surgery, there are abdominal surgeries, known as abdominoplasties, with their derivations and combinations, which cause great displacement of the skin, with or without fat removal, a condition that triggers a tissue repair process with change in skin surface temperature. To minimize the discomforts caused after the surgical trauma, this study investigates the use of a compression and containment technique, to avoid tissue shear and help its regeneration, by holding the displaced skin onto the abdomen, respecting the body contour and thus, avoiding edema, expecting good aesthetic results in short time. A simplified mathematical model to predict the thermal response of the abdomen is herein presented. The mathematical model is firstly conceived taking into consideration local metabolic activities of a healthy person prior the plastic surgery. The recovery process of the patient after the surgery alters the metabolic activity at the region of intervention, due to scar formation, inflammation, micro and macro circulation, ulcers formation, necrosis and so on. The mathematical model considers such alterations applying equations of conservation of mass and energy where the amount of O2 supplied regulates the local temperature. Therefore, the reduction of the oxygen supplied to the tissues causes a decay in local temperature representing poor circulation. The decrease in local temperature may cause ulcer formation and potentially necrosis, which is tissue death. Necrosis formation delays the healing process, increases discomfort, pain and emotional stress. The determination of the period when the necrosis is formed is crucial for the choice of the course of treatment. If the necrosis is formed unnoticed, the temperature at the region will rise again, not indicating the ideal healing but a healing process with more distress, intercurrences and financial expenditure. The numerical results obtained are the transient response of the abdomen temperature and will be used as a tool for the assessment of postoperative complication and rehabilitation.

Keywords

mathematical modeling, post-surgical, Rehabilitation, intercurrences

 

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