Source term prediction in a multilayer tissue during hyperthermia

Identification of the thermo-physical properties of a stratified tissue. Adiabatic hypodermic wall

“…and of the heat flux. This latter condition needs to be considered more carefully since in the case of the Maxwell-Cattaneo equation (1) (or ( 5)), the heat flux is given by the generalized Fourier's law (2). Then, on imposing the continuity of the heat flux at the interface q l (L l , t) = q l+1 (L l , t) we also have that ∂q l ∂t (L l , t) = ∂q l+1 ∂t (L l , t) and equation ( 2) implies that:…”

“…As far as inverse bio-heat transfer problems are concerned, a substantial amount of research has been carried out based on the Pennes' bio-heat parabolic model or concerned with single-layered tissues. For instance, Baghban and Ayani [2] estimated the intensity of external heating applied to treat an abnormal triple-layered skin tissue by using a sequential method, whereas Yue et al [29] estimated the thermal conductivity, heat capacity and blood perfusion rate of a cylindrical single-layered probe from non-invasive surface temperature measurements. Besides, Panda and Das [20] considered the thermal-wave hyperbolic model and proposed a differential evolution algorithm to recover non-invasively the blood perfusion rate in a 1-D single-layered biological body from its surface temperature measurement.…”

Estimation of surface heat flux in a one-dimensional hyperbolic bio-heat conduction problem with temperature-dependent properties during thermal therapy

“…The blood temperature is assumed to be T b = 37 °C [13]. The final time of heating is chosen as t f = 1000 s [18,45]. It should be mentioned that the direct problem is a nonlinear one and an iterative procedure is required to calculate the temperature distribution.…”

“…Jalali et al [17] used the conjugate gradient method with an adjoint problem to obtain simultaneously the external heat source and the heat transfer coefficient at the skin surface. Baghban and Ayani [18] determined the time-dependent heating power of external heat source using a sequential method from the temperature measurement at the skin surface.…”

Determination of the thermo-physical properties of multi-layered biological tissues

“…Many therapeutic procedures such as thermotherapy, cryosurgery and chemotherapy have been utilised to treat cancer. For instance, in hyperthermia treatment, to eradicate tumours, clinical therapists aim to elevate the temperature of the unhealthy tissues to about 42-46 °C, while maintaining the healthy tissues unharmed, [1,2].…”