FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W4285093075> ?p ?o ?g. }

• W4285093075 endingPage "12747" @default.
• W4285093075 startingPage "12739" @default.
• W4285093075 abstract "Abstract Pennes' bio-heat equation is the most widely used equation to analyze the heat transfer phenomenon associated with hyperthermia and cryoablation treatments of cancer. In this study, the semi-analytical and numerical solutions of Pennes' equation in a highly nonlinear form derived from renal cell carcinoma tissue's nonlinear specific heat capacity along with a freezing convection term were obtained and analyzed for the first time. Here, the governing equation was reduced to a lumped capacity form for simplification and exerted on a solid spherical renal tumor. In the following, two semi-analytical techniques, the adomian decomposition method (ADM) and the Akbari–Ganji's method (AGM) were evaluated in solving the governing ODE. The comparison revealed full conformity between ADM and AGM, in addition to an excellent agreement between the semi-analytical and the numerical results before the phase transition. The analysis highlighted a deviation between the semi-analytical and numerical results for the limited convergence of power-series-based semi-analytical methods throughout the phase change and beyond. For the investigated case with $$D_{t} = 0.025,quad {text{Biot}} = 0.075$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msub> <mml:mi>D</mml:mi> <mml:mi>t</mml:mi> </mml:msub> <mml:mo>=</mml:mo> <mml:mn>0.025</mml:mn> <mml:mo>,</mml:mo> <mml:mspace /> <mml:mtext>Biot</mml:mtext> <mml:mo>=</mml:mo> <mml:mn>0.075</mml:mn> </mml:mrow> </mml:math> , the convergence occurred while $$tau in [0,0.7]$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>τ</mml:mi> <mml:mo>∈</mml:mo> <mml:mo>[</mml:mo> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mn>0.7</mml:mn> <mml:mo>]</mml:mo> </mml:mrow> </mml:math> for both methods. Consequently, both semi-analytical techniques ADM and AGM, are applicable to find the solution of Pennes' bio-heat equation before the phase change, and there is no superiority in favor of one in accuracy. In contrast, numerical methods are reliable during the phase transition and after that. The analysis of the numerical solution showed that with the growth of the tumor, achieving the necrosis of the malignant tissue takes longer, and large tumors' temperature may not decrease to necrosis temperature. The interpretation of the numerical results indicated that cryoablation could be considered an effective thermal treatment for renal tumors with a diameter lower than 2.0 cm." @default.
• W4285093075 created "2022-07-14" @default.
• W4285093075 creator A5014310300 @default.
• W4285093075 creator A5091647537 @default.
• W4285093075 date "2022-07-12" @default.
• W4285093075 modified "2023-10-18" @default.
• W4285093075 title "The solution of Pennes' bio-heat equation with a convection term and nonlinear specific heat capacity using Adomian decomposition" @default.
• W4285093075 cites W1031112990 @default.
• W4285093075 cites W1512681254 @default.
• W4285093075 cites W1979449500 @default.
• W4285093075 cites W1988139848 @default.
• W4285093075 cites W1989841983 @default.
• W4285093075 cites W2001808738 @default.
• W4285093075 cites W2006003951 @default.
• W4285093075 cites W2007768166 @default.
• W4285093075 cites W2019557077 @default.
• W4285093075 cites W2045230079 @default.
• W4285093075 cites W2052909526 @default.
• W4285093075 cites W2062243878 @default.
• W4285093075 cites W2065487794 @default.
• W4285093075 cites W2075092756 @default.
• W4285093075 cites W2077870263 @default.
• W4285093075 cites W2087146223 @default.
• W4285093075 cites W2118465935 @default.
• W4285093075 cites W2162139444 @default.
• W4285093075 cites W2547956895 @default.
• W4285093075 cites W2550552660 @default.
• W4285093075 cites W2587606879 @default.
• W4285093075 cites W2767355219 @default.
• W4285093075 cites W2770533738 @default.
• W4285093075 cites W2783593495 @default.
• W4285093075 cites W2792031711 @default.
• W4285093075 cites W2793945165 @default.
• W4285093075 cites W2942214024 @default.
• W4285093075 cites W2943885557 @default.
• W4285093075 cites W2948387198 @default.
• W4285093075 cites W2978231839 @default.
• W4285093075 cites W2981512173 @default.
• W4285093075 cites W2984392304 @default.
• W4285093075 cites W2995178040 @default.
• W4285093075 cites W3020832411 @default.
• W4285093075 cites W3032658928 @default.
• W4285093075 cites W3119289489 @default.
• W4285093075 cites W3124482426 @default.
• W4285093075 cites W3134602086 @default.
• W4285093075 cites W3157171516 @default.
• W4285093075 cites W3175107924 @default.
• W4285093075 cites W3177293683 @default.
• W4285093075 cites W4200157988 @default.
• W4285093075 cites W4239526824 @default.
• W4285093075 doi "https://doi.org/10.1007/s10973-022-11445-x" @default.
• W4285093075 hasPublicationYear "2022" @default.
• W4285093075 type Work @default.
• W4285093075 citedByCount "2" @default.
• W4285093075 countsByYear W42850930752023 @default.
• W4285093075 crossrefType "journal-article" @default.
• W4285093075 hasAuthorship W4285093075A5014310300 @default.
• W4285093075 hasAuthorship W4285093075A5091647537 @default.
• W4285093075 hasBestOaLocation W42850930751 @default.
• W4285093075 hasConcept C11413529 @default.
• W4285093075 hasConcept C115341296 @default.
• W4285093075 hasConcept C121332964 @default.
• W4285093075 hasConcept C158622935 @default.
• W4285093075 hasConcept C192562407 @default.
• W4285093075 hasConcept C33923547 @default.
• W4285093075 hasConcept C62520636 @default.
• W4285093075 hasConcept C97355855 @default.
• W4285093075 hasConceptScore W4285093075C11413529 @default.
• W4285093075 hasConceptScore W4285093075C115341296 @default.
• W4285093075 hasConceptScore W4285093075C121332964 @default.
• W4285093075 hasConceptScore W4285093075C158622935 @default.
• W4285093075 hasConceptScore W4285093075C192562407 @default.
• W4285093075 hasConceptScore W4285093075C33923547 @default.
• W4285093075 hasConceptScore W4285093075C62520636 @default.
• W4285093075 hasConceptScore W4285093075C97355855 @default.
• W4285093075 hasIssue "22" @default.
• W4285093075 hasLocation W42850930751 @default.
• W4285093075 hasOpenAccess W4285093075 @default.
• W4285093075 hasPrimaryLocation W42850930751 @default.
• W4285093075 hasRelatedWork W1970275840 @default.
• W4285093075 hasRelatedWork W2030695564 @default.
• W4285093075 hasRelatedWork W2051168475 @default.
• W4285093075 hasRelatedWork W2051365595 @default.
• W4285093075 hasRelatedWork W2266543829 @default.
• W4285093075 hasRelatedWork W2296176393 @default.
• W4285093075 hasRelatedWork W2360154135 @default.
• W4285093075 hasRelatedWork W2742222043 @default.
• W4285093075 hasRelatedWork W2799406273 @default.
• W4285093075 hasRelatedWork W3162630818 @default.
• W4285093075 hasVolume "147" @default.
• W4285093075 isParatext "false" @default.
• W4285093075 isRetracted "false" @default.
• W4285093075 workType "article" @default.