Investigation of nonlinear temperature distribution in biological tissues by using bioheat transfer equation of Pennes’ type

نویسندگان

  • Ahmed Lakhssassi
  • Emmanuel Kengne
  • Hicham Semmaoui
چکیده

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-dependent. In both cases of depthdependent and temperature-dependent thermal conductivity, it is shown that blood perfusion decreases the temperature of the living tissue. Our numerical simulations show that neither the localization nor the magnitude of peak temperature is affected by surface temperature; however, the width of peak temperature increases with surface temperature.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Temperature Distribution in Living Biological Tissue Simultaneously Subjected to Oscillatory Surface and Spatial Heating: Analytical and Numerical Analysis

To predict temperature distribution in a finite biological tissue simultaneously subjected to oscillatory surface and spatial heating, we apply a nonlinear one-dimensional temperature-dependent blood perfusion bioheat Pennes transfer equation. Going from works of Jens Lang et al. in IEEE Trans. on Biomedical Engineering (1999) pp. 1129–138 and Tzu-Ching et al. in Medical Engineering & Physics 2...

متن کامل

Bioheat Transfer

Heat transfer in living tissues is a complicated process because it involves a combination of thermal conduction in tissues, convection and perfusion of blood, and metabolic heat production. Over the years, several mathematical models have been developed to describe heat transfer within living biological tissues. These models have been widely used in the analysis of hyperthermia in cancer treat...

متن کامل

Analysis of the theory of thermal damage in biological tissues caused by Laser beam

Introduction: In laser surgery, the laser beam can evaporate and cut the tissue like a small surgical knife when the tissue temperature is heated to 100 degrees Celsius. a complete understanding of the distribution of damage in both pathologic tissue and surrounding tissue is necessary. Although the test is the most realistic solution for treating medical problems, for this rea...

متن کامل

Transport lattice models of heat transport in skin with spatially heterogeneous, temperature-dependent perfusion

BACKGROUND Investigation of bioheat transfer problems requires the evaluation of temporal and spatial distributions of temperature. This class of problems has been traditionally addressed using the Pennes bioheat equation. Transport of heat by conduction, and by temperature-dependent, spatially heterogeneous blood perfusion is modeled here using a transport lattice approach. METHODS We repres...

متن کامل

Analytical analysis of the Pennes bioheat transfer equation with sinusoidal heat flux condition on skin surface.

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...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2014