Theoretical analysis of coupled thermal and denaturation processes in living tissues subject to a uniform surface heating condition

S. Sánchez, Oscar Eladio Bautista Godinez, F. Méndez

Resultado de la investigación: Contribución a una revistaArtículo

4 Citas (Scopus)

Resumen

Abstract In this work, we develop a theoretical study of the thermal and denaturation processes in a biological tissue subject to a surface heating, when coupled effects of dynamic changes of blood perfusion and temperature-dependent physical properties are taken into account. To analyze this phenomenon, the governing equations were appropriately nondimensionalized, where a suitable Damköhler number appears, which measures the competition between the denaturation time and the characteristic thermal diffusive time of tissue. In order to determine the denaturation front, situation that occurs when tissue has been completely denatured, we show the existence of a critical value of this dimensionless number for each time, which represents an eigenvalue in the mathematical model. Important results of the proposed model indicate that the denatured region, and the time required for carrying out this thermal process are substantially modified in comparison with the case of constant physical properties. In addition, the magnitude of the applied thermal energy source, the biological resistance of tissue to thermal attack and the blood perfusion are very important aspects that must be considered in those medical treatments that make use of rehabilitation therapies by thermal processes.

Idioma originalInglés
Número de artículo12246
Páginas (desde-hasta)728-742
Número de páginas15
PublicaciónInternational Journal of Heat and Mass Transfer
Volumen90
DOI
EstadoPublicada - 21 jul 2015

Huella dactilar

Denaturation
biopolymer denaturation
Tissue
Heating
heating
blood
physical properties
dimensionless numbers
Blood
Physical properties
energy sources
thermal energy
attack
therapy
mathematical models
Thermal energy
eigenvalues
Patient rehabilitation
Hot Temperature
Mathematical models

Citar esto

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abstract = "Abstract In this work, we develop a theoretical study of the thermal and denaturation processes in a biological tissue subject to a surface heating, when coupled effects of dynamic changes of blood perfusion and temperature-dependent physical properties are taken into account. To analyze this phenomenon, the governing equations were appropriately nondimensionalized, where a suitable Damk{\"o}hler number appears, which measures the competition between the denaturation time and the characteristic thermal diffusive time of tissue. In order to determine the denaturation front, situation that occurs when tissue has been completely denatured, we show the existence of a critical value of this dimensionless number for each time, which represents an eigenvalue in the mathematical model. Important results of the proposed model indicate that the denatured region, and the time required for carrying out this thermal process are substantially modified in comparison with the case of constant physical properties. In addition, the magnitude of the applied thermal energy source, the biological resistance of tissue to thermal attack and the blood perfusion are very important aspects that must be considered in those medical treatments that make use of rehabilitation therapies by thermal processes.",
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Theoretical analysis of coupled thermal and denaturation processes in living tissues subject to a uniform surface heating condition. / Sánchez, S.; Bautista Godinez, Oscar Eladio; Méndez, F.

En: International Journal of Heat and Mass Transfer, Vol. 90, 12246, 21.07.2015, p. 728-742.

Resultado de la investigación: Contribución a una revistaArtículo

TY - JOUR

T1 - Theoretical analysis of coupled thermal and denaturation processes in living tissues subject to a uniform surface heating condition

AU - Sánchez, S.

AU - Bautista Godinez, Oscar Eladio

AU - Méndez, F.

PY - 2015/7/21

Y1 - 2015/7/21

N2 - Abstract In this work, we develop a theoretical study of the thermal and denaturation processes in a biological tissue subject to a surface heating, when coupled effects of dynamic changes of blood perfusion and temperature-dependent physical properties are taken into account. To analyze this phenomenon, the governing equations were appropriately nondimensionalized, where a suitable Damköhler number appears, which measures the competition between the denaturation time and the characteristic thermal diffusive time of tissue. In order to determine the denaturation front, situation that occurs when tissue has been completely denatured, we show the existence of a critical value of this dimensionless number for each time, which represents an eigenvalue in the mathematical model. Important results of the proposed model indicate that the denatured region, and the time required for carrying out this thermal process are substantially modified in comparison with the case of constant physical properties. In addition, the magnitude of the applied thermal energy source, the biological resistance of tissue to thermal attack and the blood perfusion are very important aspects that must be considered in those medical treatments that make use of rehabilitation therapies by thermal processes.

AB - Abstract In this work, we develop a theoretical study of the thermal and denaturation processes in a biological tissue subject to a surface heating, when coupled effects of dynamic changes of blood perfusion and temperature-dependent physical properties are taken into account. To analyze this phenomenon, the governing equations were appropriately nondimensionalized, where a suitable Damköhler number appears, which measures the competition between the denaturation time and the characteristic thermal diffusive time of tissue. In order to determine the denaturation front, situation that occurs when tissue has been completely denatured, we show the existence of a critical value of this dimensionless number for each time, which represents an eigenvalue in the mathematical model. Important results of the proposed model indicate that the denatured region, and the time required for carrying out this thermal process are substantially modified in comparison with the case of constant physical properties. In addition, the magnitude of the applied thermal energy source, the biological resistance of tissue to thermal attack and the blood perfusion are very important aspects that must be considered in those medical treatments that make use of rehabilitation therapies by thermal processes.

KW - Blood perfusion

KW - Denatured tissue

KW - Non-linear Penne's equation

KW - Temperature-dependent properties

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