Identification of tumor region parameters using evolutionary algorithm and multiple reciprocity boundary element method

Paruch, Marek; Majchrzak, Ewa

doi:10.1016/j.engappai.2006.11.003

Cited by 61 publications

(43 citation statements)

References 2 publications

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“…5), it is more convenient to use such a method which does not require the interior domain discretization. One of them is the multiple reciprocity boundary element method (MRBEM) [14,15]. In this case, the following integral equation is considered [15] …”

Section: Boundary Element Methodsmentioning

confidence: 99%

“…The way of calculation of matrices G 1 , H 1 , G 2 , H 2 , P elements is described in details in [14,15].…”

Section: Boundary Element Methodsmentioning

confidence: 99%

“…To solve the basic problem and additional ones the classical boundary element method for burned sub-domain [12,13] and multiple reciprocity boundary element method [14,15] for healthy tissue sub-domain are used. These methods are coupled by the boundary condition given on the contact surface between sub-domains considered.…”

Section: Introductionmentioning

confidence: 99%

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Sensitivity Analysis of Temperature Field and Parameter Identification in Burned and Healthy Skin Tissue

Majchrzak

Paruch

Dziewoński

et al. 2016

Computational Modeling, Optimization and Manufacturing Simulation of Advanced Engineering Materials

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In the chapter, problems connected with the numerical modeling of bioheat transfer processes are presented. In particular the non-homogeneous system of a burn wound and healthy tissue is considered. The heat exchange between sub-domains and environment is described by a system of partial differential equations (the Pennes equations) supplemented by adequate boundary conditions. The first goal of the research is the estimation of the changes of temperature fields due to perturbations in thermal parameters using the direct method of sensitivity analysis. Both the basic problem and additional ones concerning the sensitivity with respect to selected parameters are solved using the boundary element method. The second goal is the problem of burn wound shape identification. The additional information necessary to solve such a task results from the knowledge of temperature distribution on the external surface of skin tissue. At the stage of solving the inverse problem, a gradient method has been used. In the final part of the chapter the results of computations are shown.

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Section: Boundary Element Methodsmentioning

confidence: 99%

“…The way of calculation of matrices G 1 , H 1 , G 2 , H 2 , P elements is described in details in [14,15].…”

Section: Boundary Element Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Sensitivity Analysis of Temperature Field and Parameter Identification in Burned and Healthy Skin Tissue

Majchrzak

Paruch

Dziewoński

et al. 2016

Computational Modeling, Optimization and Manufacturing Simulation of Advanced Engineering Materials

Self Cite

View full text Add to dashboard Cite

show abstract

“…For the healthy tissue sub-domain the multiple reciprocity boundary element method [7,8] has been applied. This variant of the BEM allows one to avoid the discretization of domain interior.…”

Section: Boundary Integral Equation For Burned and Healthy Tissuementioning

confidence: 99%

“…Knowledge of boundary temperatures and heat fluxes at all nodes constitutes a basis for determination of internal temperatures at the optional points selected from the domain considered [7,8].…”

Section: Numerical Realization Of the Bemmentioning

confidence: 99%

Determination of Burn Depth on the Basis of Skin Surface Temperature – Solution of Inverse Problem Using the Gradient Method

Majchrzak¹

2014

Proceedings of 10th World Congress on Computational Mechanics

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Inverse Heat Transfer for Biomedical Applications

Scott

2018

Theory and Applications of Heat Transfer in Humans

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Identification of tumor region parameters using evolutionary algorithm and multiple reciprocity boundary element method

Cited by 61 publications

References 2 publications

Sensitivity Analysis of Temperature Field and Parameter Identification in Burned and Healthy Skin Tissue

Sensitivity Analysis of Temperature Field and Parameter Identification in Burned and Healthy Skin Tissue

Determination of Burn Depth on the Basis of Skin Surface Temperature – Solution of Inverse Problem Using the Gradient Method

Inverse Heat Transfer for Biomedical Applications

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