Analytical Modeling of Breast Elastography

The purpose of the research is to develop a method for assessing the level of nonspecific protection of the body. Тhe purpose of the research. Тo develop an analytical method based on micromechanics to determine the location, size and modulus of elasticity of a tumor mass embedded in symmetrical double-dimensional breast tissue and obtain a closed solution for deformation elastograms.
Methods. Changes in tissue elasticity usually correlate with pathological phenomena. Many cancers, such as scirrhous carcinoma of the breast, appear as extremely hard nodules that result from increased stromal density. Other diseases include deposits that increase or decrease tissue elasticity. Complex fluid-filled cysts may not be visible on standard ultrasound, but may be much softer than the embedded tissue. Тhe elastic moduli of tumors change during their pathological evolution. Еlastographic imaging has the potential to detect and characterize cancers by mapping tissue stiffness distribution. Тhe work developed a model of the mammary gland in the form of a two-dimensional layer of unit thickness with a round tumor, taking into account boundary conditions. Local elastic responses were obtained when an acoustic field was applied.
Results. Тo evaluate the possibilities of determining the quantitative values of the elastic modules of the medium, we proposed a model of the process of deformation of heterogeneity under the conditions of ultrasonic static elastography and investigated the influence of elastic moduli and deformation of heterogeneity in the direction of applied pressure. Conclusion. Тhe developed technique made it possible to obtain an analytical solution for the field of deformations and stresses of two-dimensional models of mammary glands containing inhomogeneities. Тhe model makes it possible to use the developed methodology for constructing medical elastographic devices and conducting research in the field of elastography.

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