Numerical Modeling of the Internal Temperature in the Mammary Gland

Abstract

Abstract. The microwave thermometry method for the diagnosis of breast cancer is based on an analysis of the internal temperature distribution.This paper is devoted to the construction of a mathematical model for increasing the accuracy of measuring the internal temperature of mammary glands, which are regarded as a complex combination of several components, such as fat tissue, muscle tissue, milk lobules, skin, blood flows, tumor tissue. Each of these biocomponents is determined by its own set of physical parameters. Our numerical model is designed to calculate the spatial distributions of the electric microwave field and the temperature inside the biological tissue. We compare the numerical simulations results to the real medical measurements of the internal temperature.

Application of computer simulation results and machine learning in analysis of microwave radiothermometry data

“…However, in general, the results obtained show high sufficiently computer models adequacy degree the obtained in [5,6,7], the possibility of their use in a hybrid method development for diagnosing breast cancer based on microwave radiothermometry data.…”

“…In recent years, during theoretical research, a number of mathematical models have been created that describe the temperature distribution in human organs [4,5,6,7]. Including in works [5,6,7], when modeling, the main macroscopic factors determining thermal dynamics were taken into account. Instead of traditionally used models with homogeneous parameters in a multilayer approximation (usually limited to four tissue types -skin, muscles, mammary gland, tumors), a close to realistic geometric tissues structure with heterogeneous characteristics was used in the simulation.…”

“…First of all, the need arose to develop adequate computer physical and mathematical models for studying the spatial and temporal temperature fields dynamics in the biological mammary gland tissues. In recent years, during theoretical research, a number of mathematical models have been created that describe the temperature distribution in human organs [4,5,6,7]. Including in works [5,6,7], when modeling, the main macroscopic factors determining thermal dynamics were taken into account.…”

Creativity in Intelligent Technologies and Data Science

“…where T (r) is the temperature at the point r = {x, y, z}, ∇ is differential operator nabla, heat source Q j > 0 for j = {met, bl, car} and Q rad < 0, T air is temperature of environment, S 0 (r) is the boundary of biological tissue, n is unit normal vector (see Fig. 1) [18,20]. The equation specifies the boundary conditions between biological tissue and environment.…”

“…where B is magnetic induction, E is electric field strength, D is electric induction, H is magnetic field strength, ε(r) is the dielectric constant, µ(r) is magnetic permeability. Procedure of numerical solution for determination of internal temperature distribution T B (x, y, z) inside the tissue volume in the model ( 2)-( 4) described in [20]. The value T B (r, t) (see Fig.…”