On the approach to thermomechanical properties identification of layered biological tissue

Authors

  • Vatulyan A.O. South Federal University, Rostov-on-Don, Russian Federation
  • Nesterov S.A. South Federal University, Rostov-on-Don, Russian Federation

UDC

539.3

Abstract

Thermomechanical characteristics of biological tissues can serve as an important diagnostic factor in medicine. However at the moment the characteristics of biological tissues are studied insufficiently. This is due to the lack of reliable methods of non-invasive identification. In work the approach to identification of thermomechanical characteristics of a layer based on results of works on the solution of coefficient inverse problems of thermoelasticity is offered. On the basis of averaging procedure the two-dimensional problem for thermoelastic layer can be reduced to two one-dimensional. The statements of two one-dimensional inverse problems are given. As the input data are the displacement and the temperature measured on the upper face of the layer. The direct problems are solved on the basis of the device of Fredholm integral equations of the 2nd kind. The inverse problem is solved by an iterative process, each stage of which is solved Fredholm integral equation of the first kind. Some numerical experiments of identification thermal physical characteristics of skin are presented. Influence of thickness of layers and size of modules of each layer on the general quality of identification of characteristics is in addition investigated.

Keywords:

layered biological tissue, identification of thermal physical characteristics of skin, iterative process, nonlinear inverse problem

Funding information

Работа выполнена в рамках проекта Министерства образования и науки РФ №9.665.2014/K на выполнение научно-исследовательской работы в рамках проектной части государственного задания в сфере научной деятельности и при поддержке Южного математического института, г. Владикавказ.

Author info

  • Aleksandr O. Vatulyan

    д-р физ.-мат. наук, профессор, заведующий кафедрой теории упругости Института математики, механики и компьютерных наук им. И.И. Воровича Южного федерального университета

  • Sergey A. Nesterov

    канд. физ.-мат. наук, научный сотрудник кафедры теории упругости Института математики, механики и компьютерных наук им. И.И. Воровича Южного федерального университета

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Issue

Vol.  (2016) No. 2

Pages

29-36

Section

Article

Dates

Submitted

March 15, 2016

Accepted

April 1, 2016

Published

June 30, 2016

How to Cite

[1]
Vatulyan, A.O., Nesterov, S.A., On the approach to thermomechanical properties identification of layered biological tissue. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2016, № 2, pp. 29–36.

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Copyright (c) 2016 Ватульян А.О., Нестеров С.А.

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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