A meshless numerical scheme combining the operator splitting method (OSM), the radial basis function (RBF) interpolation, and the method of fundamental solutions (MFS) is developed for solving transient nonlinear bioheat problems in two-dimensional (2D) skin tissues. In the numerical scheme, the nonlinearity caused by linear and exponential relationships of temperature-dependent blood perfusion...

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...

In this work, we investigate the global well-posedness and asymptotic behavior of a mathematical model ultrasound-induced heating based on coupled system Westervelt's nonlinear acoustic wave equation Pennes bioheat equation. To end, under Dirichlet–Dirichlet boundary conditions, prove existence for sufficiently small smooth solutions using an energy method. addition, show that norm resulting pr...

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...

Contents I The basis of the bioheat transfer theory 1 1 INTRODUCTION: Essentials of the description of transport phenomena in highly heterogeneous media. What the bioheat transfer problem is 3 2 Mean field approach to the bioheat transfer problem 10 2.1 Modern models for heat transfer in living tissue. .

In this paper, a two level finite difference scheme of Crank-Nicholson type is constructed and used to numerically investigate nonlinear temperature distribution in biological tissues described by bioheat transfer equation of Pennes’ type. For the equation under consideration, the thermal conductivity is either depth-dependent or temperature-dependent, while blood perfusion is temperature-depen...

This paper investigated the numerical scheme extended to solve the hyperbolic non-Fourier form of bioheat transfer equation and the experimental trials were conducted to validate the numerical simulation. MNPs were prepared via co-precipitation and modified with a silica layer. The amino modified Fe3O4/SiO2 nanoshells were covered with gold colloids producing nanoshells of Fe3O4/SiO2/Au (MNSs)....

This study focuses on the effect of the temperature response of a semi-infinite biological tissue due to a sinusoidal heat flux at the skin. The Pennes bioheat transfer equation such as rho(t)c(t)( partial differentialT/ partial differentialt)+W(b)c(b)(T-T(a))=k partial differential(2)T/ partial differentialx(2) with the oscillatory heat flux boundary condition such as q(0,t)=q(0)e(iomegat) was...