The applications of mathematical simulations of tissue tem perature distributions in hyperthermia treatments are discussed in terms of four areas, comparative, prospective, concurrent, and retrospective thermal dosimetry. These four aspects of thermal dosimetry cover the range of hyperthermia applications of interest to clinicians, from comparative evaluation of compet itive heating modalities ...

Based on the quadratic spline function, a quadratic spline collocation method is presented for the time fractional bioheat equation governing the process of heat transfer in tissues during the thermal therapy. The corresponding linear system is given. The stability and convergence are analyzed. Some numerical examples are given to demonstrate the efficiency of this method. c ©2016 All rights re...

Burn treatment is an area of major importance in medicine, however, there is not currently an analytic method to determine the depth and magnitude of burns. Complications, such as a relative lack of knowledge of the specific thermal properties of skin and the relation between heat transfer and biological processes, have prevented a comprehensive model to explain the field of bioheat transfer. R...

We analyze the effect of blood flow through large arteries of peripheral circulation on heat transfer in living tissue. Blood flow in such arteries gives rise to fast heat propagation over large scales, which is described in terms of heat superdiffusion. The corresponding bioheat heat equation is derived. In particular, we show that under local strong heating of a small tissue domain the temper...

The model of bioheat transfer in tissues has attracted many researchers due to its application in thermotherapy and human thermoregulation system. Currently bioheat is considered as a heat transfer in human body. In view of this the influence of heat and mass transfer on peristaltic flow in a non-uniform rectangular duct is studied under the consideration of long wavelength ð0 k ! 1Þ and low Re...

Predicting the outcome of thermotherapies in cancer treatment requires accurate characterization of the bioheat transfer processes in soft tissues. However, due to the biological and structural complexity of tumor (soft tissue) composition and vasculature, it is very challenging to determine tissue properties when reliable prognosis need to be made. Efficient algorithms employing in vivo therma...