321
Views
46
CrossRef citations to date
0
Altmetric
Research Article

Analytical solutions of fractional bioheat model in a spherical tissue

ORCID Icon & ORCID Icon
Pages 430-439 | Received 01 Apr 2019, Accepted 04 Dec 2019, Published online: 09 Dec 2019

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (9)

Vasudeva Reddy Minnam Reddy, M. Girinath Reddy, Bala Murali Krishna Mariserla & N. Sandeep. (2023) Biosynthesis and numerical investigation of radiative heat transfer in silver-blood nanofluid flow through cosine-shaped stenosed artery: a biomedical application. Waves in Random and Complex Media 0:0, pages 1-17.
Read now
Tejaswini Kumari, Dinesh Kumar, K. N. Rai & S. K. Singh. (2023) Numerical solution of DPL heat transfer model in multi-layer biological skin tissue of the living body during hyperthermia treatment. Mechanics Based Design of Structures and Machines 51:1, pages 159-178.
Read now
Ibrahim A. Abbas, Aboelnour Abdalla, Fathi Anwar & Hussien Sapoor. (2022) Analytical – numerical estimation of temperature distribution in living tissue by the DPL bio-heat model. Waves in Random and Complex Media 0:0, pages 1-15.
Read now
Sudip Mondal, Abhik Sur & Mridula Kanoria. (2022) Healing of the cancer tissues under the action of moving heat and non-local Caputo–Fabrizio heat transport. Waves in Random and Complex Media 32:6, pages 2606-2621.
Read now
Dinesh Kumar & K. N. Rai. (2022) Three-phase-lag bioheat transfer model and its validation with experimental data. Mechanics Based Design of Structures and Machines 50:7, pages 2493-2507.
Read now
Tareq Saeed & Ibrahim Abbas. (2022) Finite element analyses of nonlinear DPL bioheat model in spherical tissues using experimental data. Mechanics Based Design of Structures and Machines 50:4, pages 1287-1297.
Read now
Abhik Sur, Sudip Mondal & M. Kanoria. (2022) Transient heating in a spherical tissue due to thermal therapy in the context of memory-dependent heat transport law. Waves in Random and Complex Media 32:2, pages 887-905.
Read now
Sudip Mondal, Abhik Sur & M. Kanoria. (2022) A graded spherical tissue under thermal therapy : the treatment of cancer cells. Waves in Random and Complex Media 32:1, pages 488-507.
Read now

Articles from other publishers (37)

Amr Elsonbaty, Waleed Adel, A. Aldurayhim & A. El-Mesady. (2024) Mathematical modeling and analysis of a novel monkeypox virus spread integrating imperfect vaccination and nonlinear incidence rates. Ain Shams Engineering Journal 15:3, pages 102451.
Crossref
Ruochen Sun, Guangbao Mi, Xu Huang & Nan Sui. (2023) Molecular dynamic simulations of Ti-6Al and Fe-12Cr alloys for their heat transfer and oxygen transport behaviors. Modern Physics Letters B 38:04.
Crossref
R. Essam, A. Elsaid & W.K. Zahra. (2024) Significance of skin vasodilation for bioheat transfer within transiently heated skin tissue. International Journal of Thermal Sciences 196, pages 108749.
Crossref
A. Hobiny & I. Abbas. (2023) Influence of thermal relaxation time on thermomechanical interactions in biological tissue during hyperthermia treatment. Journal of Thermal Biology 118, pages 103723.
Crossref
Mohammad Azhdari, Seyed Morteza Seyedpour, Lena Lambers, Hans-Michael Tautenhahn, Franziska Tautenhahn, Tim Ricken & Ghader Rezazadeh. (2023) Non-local three phase lag bio thermal modeling of skin tissue and experimental evaluation. International Communications in Heat and Mass Transfer 149, pages 107146.
Crossref
Rajneesh Kumar Chaudhary & Jitendra Singh. (2023) Numerical analysis of DPL bioheat transfer model with nonlocal impact on skin tissue during hyperthermia. International Communications in Heat and Mass Transfer 149, pages 107094.
Crossref
Ibrahim Abbas, Aatef Hobiny & Alaa El-Bary. (2023) The effects of fractional time derivatives in bioheat conduction technique on tumor thermal therapy. Journal of Non-Equilibrium Thermodynamics 0:0.
Crossref
Bhagya Shree Meena & Sushil Kumar. (2023) Thermal damage analysis in tissue caused by electromagnetic radiation using space–time collocation method. Journal of Thermal Biology 117, pages 103715.
Crossref
Yingze Wang, Xiaoyu Lu, Zhe Wang & Wenbo Zheng. (2023) Heat transport across multi-layered skin tissue experiencing short-pulse laser irradiation: Case of temperature-dependent thermal physical parameters. International Journal of Heat and Mass Transfer 213, pages 124335.
Crossref
Xudong Duan, Juan Xiao, Aimin Zhou, Simin Wang & Jian Wen. (2023) Numerical investigation on flow and heat transfer performance of non-Newtonian Bingham fluid in novel spiral wound tube heat exchangers. Case Studies in Thermal Engineering 49, pages 103352.
Crossref
Faishal Ansari, Rajneesh Kumar Chaudhary & Jitendra Singh. (2023) Numerical simulation of burn injuries with temperature-dependent thermal conductivity and metabolism under different surface heat sources. Journal of Thermal Biology 116, pages 103656.
Crossref
Chenghui Xu, Sen Leng, Deen Li & Yajun Yu. (2023) A symplectic approach for the fractional heat transfer and thermal damage in 2D biological tissues. International Journal of Numerical Methods for Heat & Fluid Flow 33:9, pages 3073-3093.
Crossref
Shreen El-Sapa, Nidhal Becheikh, Houda Chtioui, Kh. Lotfy, M. A. Seddeek, Alaa A. El-Bary & A. El-Dali. (2023) Moore–Gibson–Thompson model with the influence of moisture diffusivity of semiconductor materials during photothermal excitation. Frontiers in Physics 11.
Crossref
Nima Katirachi. (2023) Analytical solution of heat-transfer in central part of tibia bone tissue using non-Fourier heat equation with a laser heat source. Results in Engineering 18, pages 101057.
Crossref
Aatef Hobiny & Ibrahim Abbas. (2023) The Effect of Fractional Derivatives on Thermo-Mechanical Interaction in Biological Tissues during Hyperthermia Treatment Using Eigenvalues Approach. Fractal and Fractional 7:6, pages 432.
Crossref
Rohit Verma & Sushil Kumar. (2023) Computational study on 2D three-phase lag bioheat model during cryosurgery using RBF meshfree method. Journal of Thermal Biology 114, pages 103575.
Crossref
Babak Partovi, Hossein Ahmadikia & Mehdi Mosharaf-Dehkordi. (2023) Analytical and numerical analysis of the dual-pulse lag heat transfer in a three-dimensional tissue subjected to a moving multi-point laser beam. Journal of Thermal Biology 112, pages 103431.
Crossref
Mukesh Kumar, Harpreet kaur, Subrahamanyam Upadhyay, Surjan Singh & K.N. Rai. (2023) Mathematical modelling and simulation of three phase lag bio-heat transfer model during cancer treatment. International Journal of Thermal Sciences 184, pages 108002.
Crossref
Rajneesh Kumar Chaudhary & Jitendra Singh. (2022) Numerical analysis of thermal response on a non-linear model of multi-layer skin under heating and cooling processes. International Communications in Heat and Mass Transfer 139, pages 106467.
Crossref
Dajana Miljanovic, Mehdi Seyedmahmoudian, Ben Horan & Alex Stojcevski. (2022) Novel and accurate 3D-Printed surgical guide for mandibular reconstruction with integrated dental implants. Computers in Biology and Medicine 151, pages 106327.
Crossref
Abdelhak Ouldyerou, Hassan Mehboob, Ali Merdji, Laid Aminallah, Ali Mehboob & Osama M. Mukdadi. (2022) Biomechanical analysis of printable functionally graded material (FGM) dental implants for different bone densities. Computers in Biology and Medicine 150, pages 106111.
Crossref
Stanisław Kukla, Urszula Siedlecka & Mariusz Ciesielski. (2022) Fractional Order Dual-Phase-Lag Model of Heat Conduction in a Composite Spherical Medium. Materials 15:20, pages 7251.
Crossref
Imane Oubrahim, Thierry Duforestel & Rafik Belarbi. (2022) Integration of water sorption hysteresis for heat and mass transfer modeling. Heat and Mass Transfer 58:10, pages 1757-1770.
Crossref
Rami Ahmad El-Nabulsi & Waranont Anukool. (2022) Nonlocal thermal effects on biological tissues and tumors. Thermal Science and Engineering Progress 34, pages 101424.
Crossref
Vahid Darvishi, Mahdi Navidbakhsh & Saeid Amanpour. (2021) Heat and mass transfer in the hyperthermia cancer treatment by magnetic nanoparticles. Heat and Mass Transfer 58:6, pages 1029-1039.
Crossref
Pooja Maurya, Dinesh Kumar, Sunil Kumar Sharma & V. Upadhyay. (2021) A numerical study on nonlinear DPL model for analyzing heat transfer in tissue during thermal therapy. Heat Transfer 51:2, pages 2020-2033.
Crossref
Duc Tri Phan, Van Nam Tran, Le Hai Tran, Sumin Park, Jaeyeop Choi, Hyun Wook Kang & Junghwan Oh. (2022) Enhanced precision of real-time control photothermal therapy using cost-effective infrared sensor array and artificial neural network. Computers in Biology and Medicine 141, pages 104960.
Crossref
Muhammad Imran Asjad, Waqas Ali Faridi, Mohammed M. Al-Shomrani & Abdullahi Yusuf. (2022) The generalization of Hermite-Hadamard type Inequality with exp-convexity involving non-singular fractional operator. AIMS Mathematics 7:4, pages 7040-7055.
Crossref
Rajneesh Kumar Chaudhary, Vikas Chaurasiya, Mohamed M. Awad & Jitendra Singh. (2022) A numerical study on the thermal response in multi-layer of skin tissue subjected to heating and cooling procedures. The European Physical Journal Plus 137:1.
Crossref
Tejaswini Kumari & S. K. Singh. (2021) A numerical study of space‐fractional three‐phase‐lag bioheat transfer model during thermal therapy. Heat Transfer 51:1, pages 470-489.
Crossref
Min-jie Wen, Kui-hua Wang, Wen-bing Wu, Yun-peng Zhang & Hou-ren Xiong. (2021) Dynamic response of bilayered saturated porous media based on fractional thermoelastic theory基于分数阶热弹性理论的双层饱和多孔介质动力响应. Journal of Zhejiang University-SCIENCE A 22:12, pages 992-1004.
Crossref
Lijing Zhang & Xinchun Shang. (2021) An integral transform solution for bioheat transfer in skin tissue subjected to surface laser irradiation. International Journal of Heat and Mass Transfer 180, pages 121706.
Crossref
de Oliveira Eduardo Peixoto & Gilmar Guimaräes. (2021) Solving bio-heat transfer multi-layer equation using Green’s Functions method. Journal of Physics: Conference Series 2090:1, pages 012150.
Crossref
Xiaoping Wang, Haitao Qi, Xiu Yang & Huanying Xu. (2021) Analysis of the time-space fractional bioheat transfer equation for biological tissues during laser irradiation. International Journal of Heat and Mass Transfer 177, pages 121555.
Crossref
Qiao Zhang, Yuxin Sun & Jialing Yang. (2021) Thermoelastic behavior of skin tissue induced by laser irradiation based on the generalized dual-phase lag model. Journal of Thermal Biology 100, pages 103038.
Crossref
Zahed Zomordikhani, Mohammadmahdi Attar, Alireza Jahangiri & Farzan Barati. (2020) Analysis of nonlinear bioheat transfer equation in magnetic fluid hyperthermia. Journal of Mechanical Science and Technology 34:9, pages 3911-3918.
Crossref
Aatef Hobiny, Faris Alzahrani & Ibrahim Abbas. (2020) Analytical Estimation of Temperature in Living Tissues Using the TPL Bioheat Model with Experimental Verification. Mathematics 8:7, pages 1188.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.