Abstract
This paper presents mathematical responses for the dual-phase-lag (DPL) hypothesis, which accounts for nonequilibrium heat transfer during magnetic nanoparticle hyperthermia in tumor. To get this precision, volume averaging is used for the local instantaneous energy formulation for tissues and blood. This study proposes a hybrid numerical strategy to solve this problem by combining change of variables, improved discretization techniques, and Laplace transforms. Using the Arrhenius formulas, the range of denatured proteins is used to assess the degree of heat damages to the tumor and healthy tissues. The impacts of porosity, the blood perfusion and metabolism on the temperature and the thermal injuries are studied. The numerical estimations of temperature and the resulting of thermal injuries are shown on a graph, and a comparison with earlier research establishes the results’ validity.
Acknowledgments
Princess Nourah bint Abdulrahman University Researchers Supporting Project number (PNURSP2024R518), Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia.
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Research ethics: Not applicable.
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Author contributions: The authors have accepted responsibility for the entire content of this manuscript and approved its submission.
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Competing interests: The authors state no conflict of interest.
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Research funding: None declared.
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Data availability: The raw data can be obtained on request from the corresponding author.
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© 2024 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Special Issue Articles Devoted to the 15th International Meeting on Thermodiffusion – IMT15 2023; Guest Editors: Diana Dubert, Fina Gavalda and Xavier Ruiz
- Editorial (15th International Meeting on Thermodiffusion – IMT15 2023)
- Thermodiffusion, diffusion and Soret coefficients of binary polymeric mixtures in toluene and cyclohexane
- A double-pass optical beam deflection instrument for the measurement of diffusion, thermodiffusion and Soret coefficients in liquid mixtures and its application to polymer analysis
- Application of a three-laser optical digital interferometry in a thermogravitational analysis for binary and ternary mixtures
- Original Research Articles
- Mass transfer at vapor-liquid interfaces of H2O + CO2 mixtures studied by molecular dynamics simulation
- Kinetic and thermodynamic approach to precisely solve the unsteady Rayleigh flow problem of a rarefied homogeneous charged gas under external force influence
- Transient cold-front-water through y-shaped aluminium ducts: nature of turbulence, non-equilibrium thermodynamics, and velocity at the converged and diverged outlets
- Thermoeconomic optimization with a dissipation cost
- Analytical solutions for nonequilibrium bioheat transfer in tumor during magnetic nanoparticles hyperthermia
- Composite liquids under high-power heating: superheat of water in micro-explosion of water-in-fuel droplets
Artikel in diesem Heft
- Frontmatter
- Special Issue Articles Devoted to the 15th International Meeting on Thermodiffusion – IMT15 2023; Guest Editors: Diana Dubert, Fina Gavalda and Xavier Ruiz
- Editorial (15th International Meeting on Thermodiffusion – IMT15 2023)
- Thermodiffusion, diffusion and Soret coefficients of binary polymeric mixtures in toluene and cyclohexane
- A double-pass optical beam deflection instrument for the measurement of diffusion, thermodiffusion and Soret coefficients in liquid mixtures and its application to polymer analysis
- Application of a three-laser optical digital interferometry in a thermogravitational analysis for binary and ternary mixtures
- Original Research Articles
- Mass transfer at vapor-liquid interfaces of H2O + CO2 mixtures studied by molecular dynamics simulation
- Kinetic and thermodynamic approach to precisely solve the unsteady Rayleigh flow problem of a rarefied homogeneous charged gas under external force influence
- Transient cold-front-water through y-shaped aluminium ducts: nature of turbulence, non-equilibrium thermodynamics, and velocity at the converged and diverged outlets
- Thermoeconomic optimization with a dissipation cost
- Analytical solutions for nonequilibrium bioheat transfer in tumor during magnetic nanoparticles hyperthermia
- Composite liquids under high-power heating: superheat of water in micro-explosion of water-in-fuel droplets