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1
Content available remote Temperature determination in the tissue with a tumor using MRBEM and FEM
100%
EN
The numerical algorithms based on the boundary element method and finite element method are used for the temperature field computations in the non homogenous domain being the composition of healthy tissue and the tumor region. The three dimensional problem is considered. Thermophysical parameters of sub-domains, in particular the perfusion coefficients, thermal conductivities and the metabolic heat sources are different. From the mathematical point of view the problem is described by the system of two Poisson's equations with temperature-dependent source functions. These equations are supplemented by the adequate boundary conditions. The algorithms discussed allow, among others, to determine the temperature distribution on the surface of the skin. In the final part of the paper the examples of computations are shown.
EN
The numerical algorithm based on the multiple reciprocity boundary element method is used for the temperature field computations in the non-homogeneous domain of healthy tissue and the tumor region. The thermophysical parameters of tumor, in particular the perfusion rate, the metabolic heat source and the thermal conductivity are essentially bigger than for healthy tissue. From the mathematical point of view the problem is described by the system of two Poisson's equations supplemented by the adequate boundary conditions. The main subject of the paper is the sensitivity analysis of temperature distribution with respect to the thermal parameters of tumor region and healthy tissue. In the final part of the paper the examples of computations are shown.
3
Content available remote Sensitivity analysis of temperature field in the tissue with a tumor
80%
EN
The numerical algorithm based on the boundary element method is used for the temperature field computations in the non-homogeneous domain of healthy tissue and the tumor region. Thermophysical parameters of tumor region, in particular the perfusion coefficient and the metabolic heat source are essentially bigger than for healthy tissue. The values of these parameters are assumed to be constant. From the mathematical point of view the problem is described by the system of two Poisson’s equations supplemented by the adequate boundary conditions. The main subject of the paper is the sensitivity analysis of temperature distribution with respect to the constant source functions in the sub-domains considered. In the final part the examples of computations are shown.
PL
W pracy oznaczono poziom kadmu, selenu, miedzi i cynku w wycinkach pooperacyjnych tkanki zdrowej i nowotworowej jelita grubego techniką AAS. Z przeprowadzonych badań wynika, ze zawartość miedzi, selenu i cynku w tkance nowotworowej była wyższa niż w tkance zdrowej, natomiast poziom kadmu był nieznacznie niższy. Wysoki stopień korelacji bliski 1 w tkance zdrowej stwierdzono dla cynku i miedzi. W tkance nowotworowej korelacja między tymi pierwiastkami była znacznie niższa (ok. 0,7) co może wskazywać na zaburzenie homeostazy oznaczanych pierwiastków.
EN
Colonic cancers are in men the second after pulmonary carcinoma and in women the third after breast and pulmonary carcinoma cause of death in highly developed countries. All over the world colonic cancer belongs to most frequent locations of malignant neoplasms and makes about 9% of causes of neoplasms-related deaths in both sexes. In Poland, colonic cancer is the third as regards frequency malignant neoplasm with increasing tendency by 1 to 3% a year. The aim of the study was to determine Cd, Zn, Cu and Se concentration in healthy and cancerous tissue collected intraoperatively from patients with colonic cancer. The tissue samples were collected from 11 patients (8 men and 3 women) with mucoid adenocarcinoma after surgical at the Department of General and Colorectal Surgery, Medical University Teaching Hospital in Łódź. All the examined patients were not subjected to radiotherapy or trace elements supplementation. The patients were described thoroughly. They were not occupationally exposed to heavy metals. Zn and Cu concentrations were determined with flame and Cd with flameless AAS method, whereas Se with spectrofluorometric method. It results from the investigations carried out in this study that the levels of majority of the analyzed elements were higher in cancerous tissue as compared to healthy tissue. However, cadmium concentrations were slightly lower. The calculations demonstrated high level of correlation (close to 1) in the healthy tissue between the concentration of zinc and copper, while in the cancerous tissue the correlation between these elements decreased significantly, which may prove the disturbance of essential metals homeostasis in the cancerous tissue.
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