Effect of the directional blood flow on thermal dose distribution during thermal therapy: an application of a Green s function based on the porous model

Abstract

This study presents the effects of directional blood flow and heating schemes on the distributions of temperature and thermal dose during thermal therapy. In this study, a transient bioheat transfer equation based on the porous medium property is proposed to encompass the directional effect of blood flow. A Green's function is used to obtain the temperature distribution for this modified bioheat transfer equation, and the thermal dose equivalence is used to evaluate the heating results for a set of given parameters. A 10 x 10 x 10 mm3 tumour tissue is heated by different heating schemes to investigate the thermal dose variation with the clinical therapeutic arrangement. For a rapid heating scheme, the domain of thermal lesion can effectively cover the desired therapeutic region. However, this domain of thermal lesion may extend to the downstream normal tissue if the porosity is high and the averaged blood velocity has a larger value.

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

“…Therefore, the above Eqs. (1) and (2) can be combined into a single equation, which is identical to the governing equation of [10], as follows.…”

“…In this case, the authors used the local volumetric heat transfer coefficient instead of the perfusion rate for dealing with the heat transfer between the blood and tissue. In recent years, Kou et al [10] investigated the effect of directional blood flow on thermal dose distribution during thermal therapy by using a Green's function method. This study used the porous medium concept and the assumption of thermal equilibration to combine the energy conservation equations of tissue and blood into a single energy equation.…”

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

“…The equation of tissue has two dimensions, which are the blood flow direction and radius. Kou et al [14] have recently investigated the effect of directional blood flow on a three-dimensional thermal dose distribution during thermal therapy using Green's function method. This paper used the porous media concept and assumed local thermal equilibration to combine the energy conservation equations of tissue and blood into a single energy equation.…”

Radiofrequency Heating Models and Measurements

“…RF-power-induced temperature change in the swine brain with an 8 channel,31.75 cm internal diameter volume head coil. The whole head average SAR was 3 W kg −1 eMagRes, Online © 2007 John Wiley & Sons, Ltd.…”