Numerical analysis of temperature and thermal dose response of biological tissues to thermal non-equilibrium during hyperthermia therapy

A thermoporoelastic model for fluid transport in tumour tissues

“…in which the exterior temperature is assumed to be equal to the reference temperature and h is the heat transfer coefficient. The boundary condition dimensionless form is [27] and the tumour radius is 0.01 m, the boundary temperature variation is of the order of about DT* ¼ 0.01, which makes temperature variation on the boundary negligible for the heat source function employed in the present work (equation (2.36)). For the volumetric strain, it is assumed that the tumour is insulated from the surrounding tissue [5,17].…”

Numerical analysis of an equivalent heat transfer coefficient in a porous model for simulating a biological tissue in a hyperthermia therapy

“…The results showed that the domain of thermal lesion might extend to the downstream normal tissue if the porosity is high and the average blood velocity is of a larger value. Yuan [15] applied an evaluated heat transfer coefficient to a porous model for simulating a three-dimensional transient temperature distribution in a tissue with thermal non-equilibrium conditions. The thermal model considers the tissue with its blood vessel distribution as a porous medium and employs the convection term instead of the perfusion term in the energy conservation equations for both tissue and blood.…”

“…This induces an impropriety of applying the porous model to a biological tissue. Although this study had used a porous model to stimulate a transient temperature distribution in a tissue with thermal non-equilibrium conditions [15], the heat transfer coefficient cannot describe all kinds of heat exchange between a tissue and blood vessels of different diameters. In order to find a more reasonable heat transfer coefficient in porous media, this study considers a tissue with parallel straight vessels, whose size is identical to those in the reference of Baish et al This study calculates the temperature distributions using Pennes' bio-heat transfer equation with the same conditions in the reference of Baish et al and the porous equations with an assumed heat transfer coefficient.…”

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

“…In addition, the heat transfer in biological tissues has also been modeled mathematically by considering it as a porous medium [23][24][25][26][27]. Recently, some variations of the mentioned mathematical models have been developed by introducing interactions between two or more tissues with different properties (conjugated phenomenon of the layers of the skin, tumor-tissue or veins-tumor-tissue).…”