Temat: bioheat transfer - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Numerical analysis of the thermal damage process of the tissue-blood vessel system and distribution of oxygen in the tissue
Autorzy:: Jasiński, Marek
Powiązania:: https://bibliotekanauki.pl/articles/2086966.pdf
Data publikacji:: 2022
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: bioheat transfer
oxygen transport
Arrhenius integral
laser-tissue interactions
Opis:: The paper presents a numerical analysis of the thermal damage process taking place in biological tissue containing a blood vessel during laser irradiation. The internal heat source resulting from laser irradiation based on the solution of the optical diffusion equation is taken into account. The investigation was concerned with the influence of tissue denaturation and oxygen content in blood on temperature distribution. The analysis of oxygen transport to the tissue is treated as a part of the analysis of thermal damage processes. At the stage of numerical computations, the boundary element method and the finite difference method were used.
Źródło:: Journal of Theoretical and Applied Mechanics; 2022, 60, 2; 199--212
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Modelling of tissue thermal injury formation process with application of direct sensitivity method
Autorzy:: Jasiński, M.
Powiązania:: https://bibliotekanauki.pl/articles/280597.pdf
Data publikacji:: 2014
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: bioheat transfer
Arrhenius scheme
boundary element method
sensitivity analysis
Opis:: In the paper, numerical analysis of thermal processes proceeding in a biological tissue is presented. The tissue is subjected to the external heat impulse and a 2D problem is taken into account. In order to determine the influence of variations of thermophysical parameters of the tissue on the value of tissue injury integral and the area of the lesion, a direct approach of sensitivity analysis is applied. The process of thermal injury formation is also analyzed. At the stage of numerical simulation, the boundary element method is used. In the final part of the paper, an example of numerical simulation is shown.
Źródło:: Journal of Theoretical and Applied Mechanics; 2014, 52, 4; 947-957
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Application of the Control Volume Method using the Voronoi polygons for numerical modeling of bio-heat transfer processes
Autorzy:: Ciesielski, M.
Mochnacki, B.
Powiązania:: https://bibliotekanauki.pl/articles/279675.pdf
Data publikacji:: 2014
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: bioheat transfer
numerical modeling
Control Volume Method
Voronoi’s diagram
Opis:: In the paper, the problem concerning the numerical modeling of thermal processes in the domain of a biological tissue being in thermal contact with the environment is discussed. The changing ambient temperature causes that the non-steady heat transfer process is con- sidered. The cross-section of the forearm (2D problem) is treated as a non-homogeneous domain in which the sub-domains of skin tissue, fat, muscle and bone are distinguished. From the mathematical point of view, the boundary-initial problem described by the system of energy equations (the Pennes equations), boundary conditions on the external surface of the system, boundary conditions on the surfaces limiting the successive sub-domains and the initial condition is analyzed. At the stage of numerical computations, the Control Volume Method using the Voronoi polygons is applied. In the final part of the paper, examples of computations are shown.
Źródło:: Journal of Theoretical and Applied Mechanics; 2014, 52, 4; 927-935
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Modelling of biological tissue damage process with application of interval arithmetic
Autorzy:: Korczak, Anna
Jasiński, Marek
Powiązania:: https://bibliotekanauki.pl/articles/279929.pdf
Data publikacji:: 2019
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: directed interval arithmetic
bioheat transfer
optical diffusion equation
Arrhenius scheme
Opis:: In the paper, the numerical analysis of thermal processes proceeding in a 2D soft biological tissue subjected to laser irradiation is presented. The transient heat transfer is described by the bioheat transfer equation in Pennes formulation. The internal heat source resulting from the laser-tissue interaction based on the solution of the diffusion equation is taken into account. Thermophysical and optical parameters of the tissue are assumed as directed intervals numbers. At the stage of numerical realization. the interval finite difference method has been applied. In the final part of the paper, the results obtained are shown.
Źródło:: Journal of Theoretical and Applied Mechanics; 2019, 57, 1; 249-261
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Application of the control volume method in numerical modeling of cryosurgery treatment
Autorzy:: Szopa, R.
Siedlecki, J.
Powiązania:: https://bibliotekanauki.pl/articles/122277.pdf
Data publikacji:: 2014
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
modeling of cryosurgery treatment
control volume method
przepływ ciepła
Opis:: In the paper the problems of cryosurgery treatment are discussed. In particular the heat exchange between external cylindrical cryoprobe and human tissue is analyzed. The cryoprobe tip temperature changes from the initial temperature to the minimal one and back in a linear way (broken line). Thermophysical parameters determining the thermal properties of tissue can be treated as the temperature-dependent functions. The freezing model bases on the approach called ‘a one domain method’, and in the energy equation called a substitute thermal capacity appears. At the stage of computations the control volume method (CVM) is used. In the final part of paper the examples of computations are presented.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 4; 131-136
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: Determination of the temperature field in burned and healthy skin tissue using the boundary element method. Part 2
Autorzy:: Freus, K.
Freus, S.
Powiązania:: https://bibliotekanauki.pl/articles/122947.pdf
Data publikacji:: 2013
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
Pennes equation
boundary element method
przepływ ciepła
równanie Pennesa
metoda elementów brzegowych
Opis:: In the paper, the position of the boundary between burned and healthy tissue is described by the NURBS curve. The temperature field in the domain is calculated by means of the boundary element method. The influence of discretization on the temperature distribution in the burned and healthy skin tissue is analysed. Different numbers of boundary elements and internal cells are taken into account. In the final part of the paper the examples of computations are shown.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 3; 47-54
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 7.

Tytuł:: Determination of the temperature field in burned and healthy skin tissue using the boundary element method. Part 1
Autorzy:: Freus, K.
Freus, S.
Majchrzak, E.
Powiązania:: https://bibliotekanauki.pl/articles/123011.pdf
Data publikacji:: 2013
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
Pennes equation
boundary element method
przepływ ciepła
równanie Pennesa
metoda elementów brzegowych
Opis:: In the paper the burned and healthy layers of skin tissue are considered. The temperature distribution in these layers is described by the system of two Pennes equations. The governing equations are supplemented by the boundary conditions. On the external surface the Robin condition is known. On the surface between burned and healthy skin the ideal contact is considered, while on the internal surface limiting the system the body temperature is taken into account. The problem is solved by means of the boundary element method.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 3; 39-46
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 8.

Tytuł:: 3D model of thermal interactions between human forearm and environment
Autorzy:: Duda, M.
Mochnacki, B.
Powiązania:: https://bibliotekanauki.pl/articles/122811.pdf
Data publikacji:: 2015
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
temperature field in forearm domain
finite element method
przepływ biociepła
metoda elementów skończonych
Opis:: Thermal processes in the domain of a human forearm are considered. The external surface of forearm is in the direct thermal contact with the environment. The steady state problem is considered. From the mathematical point of view, the task is described by the system of the Poisson-type equations, the boundary conditions given on the contact surface between tissue sub-domains, the boundary conditions determining heat transfer between blood vessels and tissue and the boundary conditions on the external surface of the system. The non-homogeneous forearm domain is reconstructed as accurately as possible (3D task). At the stage of numerical modelling, the finite element method has been used. In the final part of the paper the example of computations is presented.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 3; 17-23
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 9.

Tytuł:: Sensitivity analysis of transient bioheat transfer during thermal injury formation of biological tissue
Autorzy:: Jasiński, M.
Powiązania:: https://bibliotekanauki.pl/articles/122465.pdf
Data publikacji:: 2014
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
tissue injury integral
tissue injury
sensitivity analysis
przepływ ciepła
uraz tkanki
analiza wrażliwości
Opis:: The sensitivity analysis of the transient temperature field in the 2D tissue domain with respect to its thermophysical parameters is discussed. In particular, the influence of tissue specific heat, thermal conductivity, perfusion rate and metabolic heat source on the temperature distribution is considered. In order to determine the influence of variations of these parameters on temperature distribution, the direct approach of sensitivity analysis is applied. The algorithm of modeling of tissue injury withdrawal based on Arrhenius integral is also presented. At the stage of numerical realization the boundary element method is used. In the final part of paper the results obtained are shown.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 2; 33-42
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 10.

Tytuł:: Modelling of thermal damage in laser irradiated tissue
Autorzy:: Jasiński, M.
Powiązania:: https://bibliotekanauki.pl/articles/122504.pdf
Data publikacji:: 2015
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
Arrhenius scheme
tissue damage
laser irradiation
przepływ biociepła
schemat Arrheniusa
uszkodzenia tkanki
promieniowanie laserowe
Opis:: In the paper the numerical analysis of thermal processes proceeding in the 2D homogeneous biological tissue subjected to laser irradiation is presented. In particular, the influence of necrotic changes in tissue on the values of the perfusion coefficient and effective scattering coefficient are discussed. The transient heat transfer is described by the bioheat transfer equation in the Pennes formulation. As a model of light distribution in tissue, the first-order scattering approach has been used. At the stage of numerical realization the 1st scheme of the boundary element method has been applied.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 4; 67-78
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 11.

Tytuł:: The BEM-FDM model of thermal processes proceeding in the domain of the human finger
Autorzy:: Majchrzak, E.
Mochnacki, B.
Tarasek, D.
Dziewoński, M.
Powiązania:: https://bibliotekanauki.pl/articles/307248.pdf
Data publikacji:: 2015
Wydawca:: Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:: przepływ ciepła
przepływ krwi
metoda elementów skończonych
termogram
bioheat transfer
countercurrent blood flow
boundary element method
thermograms
Opis:: Purpose: The problem of the numerical modeling of thermal processes proceeding in the non-homogeneous domain of the human finger is discussed. The domain considered constitutes the assembling of soft and bone tissues and the system of supplying blood vessels (arteries and veins). The mathematical description of the process analyzed corresponds to the so-called vascular models. Methods: At the stage of numerical modeling the algorithm being the composition of the boundary element method (BEM) and the finite difference method (FDM) is applied. Results: The algorithm presented allows one to determine the steady state temperature field in the finger domain in natural convection conditions. To verify the effectiveness and exactness of the method of the problem solution, the thermal imaging measurements of the finger surface temperature have been done. Conclusions: The compatibility of numerical and experimental results (the natural convection conditions) has proved to be quite satisfactory. It is possible to use the algorithm proposed for the modeling of thermal processes proceeding in the conditions of low or high ambient temperatures and the big values of heat transfer coefficients. The impact of protective clothing on the temperature field in the domain of the finger can also be analyzed.
Źródło:: Acta of Bioengineering and Biomechanics; 2015, 17, 4; 85-96
1509-409X
2450-6303
Pojawia się w:: Acta of Bioengineering and Biomechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 12.

Tytuł:: An interval finite difference method for the bioheat transfer problem described by the pennes equation with uncertain parameters
Przedziałowa metoda różnic skończonych w zagadnieniu przepływu biociepła opisanym równaniem Pennesa zależnym od nieprecyzyjnych parametrów
Autorzy:: Jankowska, M. A.
Sypniewska-Kamińska, G.
Powiązania:: https://bibliotekanauki.pl/articles/368922.pdf
Data publikacji:: 2012
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: modelowanie przepływu biociepła
przedziałowa metoda różnic skończonych
równanie Pennesa
bioheat transfer modelling
interval finite difference method
Pennes equation
Opis:: In this paper the transient bioheat transfer problem given by the one-dimensional Pennes equation with mixed boundary conditions is considered. The model assumes the heat transfer between the skin and its surroundings in the case of a natural and forced convection. For computations the interval finite difference method of Crank--Nicolson type together with the floating-point interval arithmetic is used. In this way, uncertain geometric and thermophysical parameters can be represented in the form of intervals as well as the resultant temperature distribution over time.
W pracy rozważa się nieustalone zagadnienie przepływu biociepła w skórze opisane równaniem Pennesa z mieszanymi warunkami brzegowymi. W modelu uwzględniono wymianę ciepła między skórą a otoczeniem zarówno w przypadku konwekcji swobodnej, jak i wymuszonej. Do obliczeń wykorzystano przedziałową metodę różnic skończonych typu Cranka-Nicolsona oraz zmiennopozycyjną arytmetykę przedziałową. W ten sposób nieprecyzyjnie określone wartości parametrów geometrycznych i termofizycznych mogą być reprezentowane w postaci przedziałów, podobnie jak wynikowy rozkład temperatury w czasie.
Źródło:: Mechanics and Control; 2012, 31, 2; 77-84
2083-6759
2300-7079
Pojawia się w:: Mechanics and Control
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 13.

Tytuł:: Phase-lag effects in skin tissue during transient heating
Autorzy:: Kumar, R.
Vashishth, A. K.
Ghangas, S.
Powiązania:: https://bibliotekanauki.pl/articles/264536.pdf
Data publikacji:: 2019
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: tkanka skórna
transformata Laplace'a
opóźnienie trójfazowe
bioheat transfer
skin tissue
three-phase-lag
Laplace transform
transient heating
Opis:: A three-phase-lag (TPL) model is proposed to describe heat transfer in a finite domain skin tissue with temperature dependent metabolic heat generation. The Laplace transform method is applied to solve the problem. Three special types of heat flux are applied to the boundary of skin tissue for thermal therapeutic applications. The depth of tissue is influenced by the different oscillation heat flux. The comparison between the TPL and dual-phase-lag (DPL) models is analyzed and the effects of phase lag parameters […] and material constant […] on the tissue temperature distribution are presented graphically.
Źródło:: International Journal of Applied Mechanics and Engineering; 2019, 24, 3; 603-623
1734-4492
2353-9003
Pojawia się w:: International Journal of Applied Mechanics and Engineering
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 14.

Tytuł:: Temperature field in burned and healthy tissue : sensitivity analysis with respect to the thermal parameters
Autorzy:: Freus, K.
Freus, S.
Majchrzak, E.
Powiązania:: https://bibliotekanauki.pl/articles/122363.pdf
Data publikacji:: 2014
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
Pennes equation
boundary element method
burn wounds
przepływ ciepła
równanie Pennesa
metoda elementów brzegowych
rany poparzeniowe
Opis:: A non-homogeneous system being the composition of burn wound and healthy tissue is considered. The heat exchange between sub-domains and environment is described by the system of partial differential equations (the Pennes equations) supplemented by the assumed boundary conditions. Additional problems associated with sensitivity analysis with respect to thermal parameters occurring in the mathematical model are formulated. Both the basic problem and additional ones concerning the sensitivity with respect to selected parameters are solved using the boundary element method. In the final part of the paper the results of computations are shown.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 3; 47-58
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 15.

Tytuł:: Hyperthermia process control induced by the electric field in order to cancer destroying
Autorzy:: Paruch, M.
Powiązania:: https://bibliotekanauki.pl/articles/307094.pdf
Data publikacji:: 2014
Wydawca:: Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:: nanocząsteczki
przepływ ciepła
metoda elementów brzegowych
MEB
hipertermia
nanoparticles
bioheat transfer
boundary element method
cancer destruction
evolutionary algorithm
hyperthermia
Opis:: Purpose: The paper presents numerical modeling of the artificial hyperthermia induced by the electric field in order to destroy the abnormal tissue. In particular, the possibility of process control in order to increase the temperature of only the tumor tissue was discussed. Due to the fact, that the external electrodes which generate the additional heat, heats not only the area of the tumor, but also healthy tissue which surrounds the tumor, increasing the temperature inside the cancer is possible by introducing the paramagnetic nanoparticles into the interior. Additionally, the proper selection of voltage on the electrodes and the number of nanoparticles will achieve the optimal effect of hyperthermia treatment. Methods: The multiple reciprocity BEM is applied to solve the coupled problem connected with the biological tissue heating. In order to determine the appropriate values of the parameters the inverse problem has been formulated, connected with simultaneous identification of the voltage of the electrodes and the number of nanoparticles, which is solved using the evolutionary algorithm. Results: The changes of the voltage of electrodes cause the changes of temperature in the entire domain considered, but the possibilities of temperature field control (e.g. a concentration of maximum temperature at the central point of tumor) are rather unrealizable, because the maximum temperature we could observe in the neighbourhood of the electrodes. Conclusions: The idea consisting in the introduction of nanoparticles to the tumor region (for the concentrated energy deposition at the target tissue) is very effective. We obtain the maximum temperature exactly in the tumor domain.
Źródło:: Acta of Bioengineering and Biomechanics; 2014, 16, 4; 123-130
1509-409X
2450-6303
Pojawia się w:: Acta of Bioengineering and Biomechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 16.

Tytuł:: 1D generalized dual-phase lag equation. Sensitivity analysis with respect to the porosity
Autorzy:: Kałuża, G.
Majchrzak, E.
Turchan, Ł.
Powiązania:: https://bibliotekanauki.pl/articles/123000.pdf
Data publikacji:: 2016
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
generalized dual-phase lag model
sensitivity analysis
finite difference method
przepływ biociepła
metoda różnic skończonych
analiza wrażliwości
Opis:: Thermal processes occurring in the heated tissue are described by the 1D generalized dual-phase lag equation supplemented by appropriate boundary and initial conditions. Using the sensitivity analysis method, the additional problem connected with the porosity is formulated. Both problems are solved by means of the explicit scheme of the finite difference method. In this way it is possible to estimate the temperature changes due to the perturbation of porosity. In the final part of the paper, the example of computation is shown and the conclusions are formulated.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 1; 49-58
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 17.

Tytuł:: Modeling of the influence of elevated temperature on oxygen distribution in soft tissue
Autorzy:: Jasiński, Marek
Zadoń, Maria
Powiązania:: https://bibliotekanauki.pl/articles/38910037.pdf
Data publikacji:: 2023
Wydawca:: Instytut Podstawowych Problemów Techniki PAN
Tematy:: bioheat transfer
tissue thermal damage
oxygen transport
Krogh cylinder
oxyhemoglobin dissociation curve
finite difference method
shooting method
sensitivity analysis
Opis:: The purpose of the study was to analyze the combined model of bioheat transfer and oxygen distribution in tissue during exposition to the external heat impulse. The effect of temperature and thermal damage to the tissue on the values of its thermophysical parameters was taken into account. The variable value of the perfusion coefficient affects the blood velocity in the capillary and thus the distribution of the partial oxygen pressure in the tissue. Various models of the oxygen dissociation curves were also considered and a sensitivity analysis was performed for the parameters of the oxygen distribution model. In the numerical realization stage, the finite difference method and the shooting method were used.
Źródło:: Engineering Transactions; 2023, 71, 3; 287-306
0867-888X
Pojawia się w:: Engineering Transactions
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 18.

Tytuł:: Numerical analysis of biological tissue heating using the dual-phase lag equation with temperature – dependent parameters
Autorzy:: Majchrzak, Ewa
Stryczyński, Mikołaj
Powiązania:: https://bibliotekanauki.pl/articles/2202034.pdf
Data publikacji:: 2022
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
dual-phase lag model
temperature-dependent parameter
finite difference method
przepływ biociepła
model dwufazowego opóźnienia
metoda różnic skończonych
Opis:: The dual-phase lag equation is formulated for the case when the thermophysical parameters occurring in this equation are temperature-dependent. The axial-symmetrical domain of biological tissue heated by an external heat source is considered. The problem is solved using the implicit scheme of the finite difference method. At the stage of numerical computations, the analytical relationships taken from the literature describing changes in parameters are taken into account.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 3; 85--98
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 19.

Tytuł:: Sensitivity of transient temperature field in domain of forearm insulated by protective clothing with respect to perturbations of external boundary heat flux
Autorzy:: Mochnacki, B.
Ciesielski, M.
Powiązania:: https://bibliotekanauki.pl/articles/201448.pdf
Data publikacji:: 2016
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: bioheat transfer
sensitivity analysis
numerical modeling
control volume method
Voronoi diagram
analiza wrażliwości
modelowanie numeryczne
metoda regulacji głośności
diagram Voronoi
Opis:: The problem discussed in the paper is numerical modeling of thermal processes in the domain of biological tissue secured by a layer of protective clothing being in thermal contact with the environment. The cross-section of the forearm (2D problem) is treated as non-homogeneous domain in which the sub-domains of skin tissue, fat, muscle and bone are distinguished. The air gap between skin tissue and protective clothing is taken into account. The process of external heating is determined by Robin boundary condition and sensitivity analysis with respect to the perturbations of heat transfer coefficient and ambient temperature is also discussed. Both the basic boundary-initial problem and the sensitivity problems are solved by means of control volume method using Voronoi polygons.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2016, 64, 3; 591-598
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 20.

Tytuł:: Numerical modeling of thermal processes in the living tissue domain secured with a layer of protective clothing
Autorzy:: Mochnacki, B.
Majchrzak, E.
Duda, M.
Powiązania:: https://bibliotekanauki.pl/articles/122990.pdf
Data publikacji:: 2014
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
protective clothing
modeling of thermal processes
boundary element method
przepływ ciepła
odzież ochronna
modelowanie procesów cieplnych
metoda elementów brzegowych
Opis:: In the paper the problem of thermal processes proceeding in the domain of biological tissue secured with protective clothing is discussed. In particular, the mathematical model of heat exchange corresponding to conditions of high temperature in the system environment - layer of protective clothing - air gap - skin tissue is formulated in the form of a certain boundary - initial problem. Next, the numerical algorithm based on the boundary element method is presented. In the final part of the paper the examples of numerical simulations are shown.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 1; 87-94
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 21.

Tytuł:: Simplified model of thermal interactions between environment, protective clothing and skin tissue
Autorzy:: Mochnacki, B.
Majchrzak, E.
Duda, M.
Powiązania:: https://bibliotekanauki.pl/articles/123023.pdf
Data publikacji:: 2014
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
protective clothing
modeling of thermal processes
finite difference method
wymiana ciepła
odzież ochronna
modelowanie procesów cieplnych
metoda różnic skończonych
Opis:: In the paper the simplified model of thermal processes proceeding in the domain of biological tissue secured with protective clothing is discussed. In particular, the simplification of the mathematical model consists in the omission of the real layer of fabric for which the transient temperature field is determined by the Fourier equation and the introduction in this place of the additional thermal resistance appearing in the boundary condition determining the heat exchange between tissue and environment. In this way both the mathematical model of the thermal processes in the system considered and also numerical realization are greatly simplified. To verify the effectiveness of the approach proposed, the solution of the basic problem and the simplified one have been solved (1D task) using the finite difference method and the results have been compared. It turned out that the results are close and from the practical point of view such simplification is fully acceptable.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 4; 91-96
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 22.

Tytuł:: Numerical simulation of the heating process in the domain of tissue insulated by protective clothing
Autorzy:: Ciesielski, M.
Mochnacki, B.
Powiązania:: https://bibliotekanauki.pl/articles/122678.pdf
Data publikacji:: 2014
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
protective clothing
modeling of thermal processes
control volume method
Voronoi tessellation
przepływ ciepła
odzież ochronna
modelowanie procesów cieplnych
teselacja Voronoia
Opis:: In this paper the 2D heterogeneous tissue domain (forearm cross-section) insulated by a layer of protective clothing is considered. The aim of considerations is to develop an algorithm simulating the tissue heating process resulting from the sudden change of external boundary conditions. Here, the authors exploit a certain version of the control volume method (CVM) using the Voronoi tessellation. The mathematical model of heat exchange in the domain analyzed is formulated in the form of a boundary-initial problem based on the system of partial differential equations (energy equations) supplemented by the adequate boundary and initial conditions. In the final part of the paper, the examples of numerical simulations are shown.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 2; 13-20
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 23.

Tytuł:: Cattaneo-Vernotte bioheat transfer equation. Stability conditions of numerical algorithm based on the explicit scheme of the finite difference method
Autorzy:: Mochnacki, B.
Tuzikiewicz, W.
Powiązania:: https://bibliotekanauki.pl/articles/122475.pdf
Data publikacji:: 2016
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
Cattaneo-Vernotte equation
finite difference method
stability conditions of FDM explicit scheme
przepływ biociepła
równanie Cattaneo-Vernotte
metoda różnic skończonych
Opis:: The Cattaneo-Vernotte (CVE) equation is considered. This equation belongs to the group of hyperbolic PDE. Supplementing this equation by two additional terms corresponding to perfusion and metabolic heat sources one can apply the CVE as a mathematical model describing the heat transfer processes proceeding in domain of the soft tissue. Such an approach is recently often preferred substituting the classical Pennes model. At the stage of numerical computations the different numerical methods of the PDE solving can be used. In this paper the problems of stability conditions for the explicit scheme of the finite difference method (FDM) are discussed. The appropriate condition limiting the admissible time step have been found using the von Neumann analysis.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 4; 137-144
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 24.

Tytuł:: Modeling of photochemical and photothermal effects in soft tissue subjected to laser irradiation
Autorzy:: Jasiński, Marek
Zadoń, Maria
Powiązania:: https://bibliotekanauki.pl/articles/38706609.pdf
Data publikacji:: 2024
Wydawca:: Instytut Podstawowych Problemów Techniki PAN
Tematy:: bioheat transfer
optical diffusion equation
photodynamic therapy
boundary element method
finite difference method
transfer biociepła
równanie dyfuzji optycznej
terapia fotodynamiczna
metoda elementów brzegowych
metoda różnic skończonych
Opis:: The purpose of this study is to analyze the phenomena that occur in biological tissueduring photodynamic therapy (PDT). Under the influence of the laser, triplet oxygen istransformed into singlet oxygen, which is cytotoxic to cancer tissue. The impact of thelaser on the tissue may also be accompanied by changes in the thermophysical parameters,e.g., perfusion, which can affect the supply of oxygen to the tissue and, consequently,the outcome of the therapy. The proposed model uses the optical diffusion equation,the Pennes bioheat transfer equation, and reactions equations for PDT. The connectionbetween bioheat transfer and PDT models is taken into account through the respectiverelationships between perfusion rate, capillary blood velocity, and the maximum oxygensupply rate. Furthermore, a method is proposed to model abnormal vascular patterns inthe tumor subdomain. The boundary element method and the finite difference methodwere used in the numerical implementation stage.
Źródło:: Computer Assisted Methods in Engineering and Science; 2024, 31, 1; 29-50
2299-3649
Pojawia się w:: Computer Assisted Methods in Engineering and Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 25.

Tytuł:: Modelling of thermal damage process in soft tissue subjected to laser irradiation
Autorzy:: Jasiński, M.
Powiązania:: https://bibliotekanauki.pl/articles/122854.pdf
Data publikacji:: 2018
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
optical diffusion equation
Arrhenius scheme
Boundary element method
finite difference method
przepływ ciepła
metoda różnic skończonych
metoda elementów brzegowych
równanie dyfuzji
uszkodzenie termiczne
Opis:: The numerical analysis of thermal damage process proceeding in biological tissue during laser irradiation is presented. Heat transfer in the tissue is assumed to be transient and two-dimensional. The internal heat source resulting from the laser irradiation based on the solution of the diffusion equation is taken into account. The tissue is regarded as a homogeneous domain with perfusion coefficient and effective scattering coefficient treated as dependent on tissue injury. At the stage of numerical realization, the boundary element method and the finite difference method have been used. In the final part of the paper the results of computations are shown.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 2; 29-41
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 26.

Tytuł:: Mathematical modeling of the phenomena that occur in a biological tissue containing photosensitizer
Autorzy:: Jasiński, Marek
Zadoń, Maria
Powiązania:: https://bibliotekanauki.pl/articles/2202041.pdf
Data publikacji:: 2022
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
optical diffusion equation
photodynamic therapy
boundary element method
finite difference method
przepływ ciepła
równanie dyfuzji optycznej
terapia fotodynamiczna
metoda elementów brzegowych
metoda różnic skończonych
Opis:: The aim of the study is to analyze photothermal and photochemical phenomena that occur during photodynamic therapy (PDT). In this type of therapy, under the influence of the laser, reactions take place related to the transformation of triplet oxygen form into its singlet form which is cytotoxic to the tissue. The increases in temperature resulting from the laser-tissue interaction during PDT are not big; however, they can lead to changes in tissue perfusion, which can affect oxygen delivery to the tissue. The proposed model uses optical diffusion equation, Pennes bioheat transfer equation, and reactions equations for PDT. The main findings of the analysis show the impact of temperature on the value of the perfusion coefficient and triplet oxygen distributions at the end of the treatment procedure.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 4; 40--51
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 27.

Tytuł:: Comparison of bio-heat transfer numerical models based on the Pennes and Cattaneo-Vernotte equations
Autorzy:: Ciesielski, M.
Duda, M.
Mochnacki, B.
Powiązania:: https://bibliotekanauki.pl/articles/122908.pdf
Data publikacji:: 2016
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
Pennes equation
Cattaneo-Vernotte equation
numerical modeling of heating process
finite difference method
przepływ biociepła
równanie Pennesa
równanie Cattaneo-Vernotte
metoda różnic skończonych
modelowanie numeryczne
Opis:: The homogeneous soft tissue domain subjected to an external heat source is considered. Thermal processes in this domain are described using the well known Pennes equation and next the Cattaneo-Vernotte one. Within recent years the prevailing view is that the Cattaneo-Vernotte equation better describes the thermal processes proceeding in the biological tissue (it results from the specific internal tissue structure). Appearing in this equation the delay time of heat flux with respect to the temperature gradient (τq) is of the order of several seconds and the different values of τq are taken into account. At the stage of numerical modeling the finite difference method is used. In the final part of the paper, the examples of computations are shown.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 4; 33-38
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 28.

Tytuł:: Numerical analysis of thermal damage and oxygen distribution in laser irradiated tissue
Autorzy:: Jasiński, Marek
Powiązania:: https://bibliotekanauki.pl/articles/2175523.pdf
Data publikacji:: 2022
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bioheat transfer
optical diffusion equation
Arrhenius scheme
oxygen transport
Krogh cylinder
boundary element method
finite difference method
przepływ biociepła
równanie dyfuzji optycznej
schemat Arrheniusa
transport tlenu
cylinder Krogha
metoda elementów brzegowych
metoda różnic skończonych
Opis:: A numerical analysis of the thermal damage process that proceeds in biological tissue during laser irradiation is presented. Heat transfer in the tissue is assumed to be transient and two-dimensional. The internal heat source resulting from the laser irradiation based on the solution of optical diffusion equation is taken into account. Changes in tissue oxygen distribution resulting from temperature changes are analyzed using the Krogh cylinder model with Michaelis-Menten kinetics. A Hill model was used to describe the oxyhemoglobin dissociation curve. At the stage of numerical realization, the boundary element method and the finite difference method have been applied.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 2; 51--62
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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