Abstract
A normal mode analysis for characterizing the temperature fluctuation in tissues was proposed based on the Penne’s bio-heat transfer equation. Closed-form analytical solutions to obtain the heating pattern due to the propagation of ultrasonic waves in tissue system are presented. The evaluation of temporal and spatial distributions of temperature is investigated with the effect of relaxation time. The derived method is evaluated with numerical simulations in 2D which are applied to tissue medium in simplified geometry.
Highlights
Heat transfer in biological systems is relevant in many diagnostic and therapeutic applications that involve changes in temperature
The derived method is evaluated with numerical simulations in 2D which are applied to tissue medium in simplified geometry
Many of the bioheat transfer problems have been modeled using the Penne’s equation, which accounts for the ability of tissue to remove heat by both passive conduction and perfusion of tissue by blood
Summary
Heat transfer in biological systems is relevant in many diagnostic and therapeutic applications that involve changes in temperature. The temperature rise for constant (temperature independent) perfusion has been predicted by traditional analytical methods based on bioheat transfer equation, which can be solved analytically for simple geometries [7] or by finite element models for more realistic, complicated tissue geometry [8,9]. The bioheat transfer equation has been used in a wide range of applications to describe heat transport in blood perfused tissues, [11] and solved by a variety of methods. The boundary element and finite difference methods have been used to solve the bio-heat equation [14,15,16,17,18]. The normal mode analysis can be employed to solve the bio-heat transfer equation analytically.
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