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Investigation of nonlinear temperature distribution in biological tissues by using bioheat transfer equation of Pennes’ type
(Articles)
Ahmed Lakhssassi
,
Emmanuel Kengne
,
Hicham Semmaoui
Natural Science
Vol.2 No.3
,April 12, 2010
DOI:
10.4236/ns.2010.23022
5,814
Downloads
11,744
Views
Citations
FEM Model of the Temperature Distribution in the Brain during Enhanced Infrared Neural Stimulation Using Nanoparticles
(Articles)
Rui Zhou
,
Haoling Chen
,
Zongxia Mou
Journal of Applied Mathematics and Physics
Vol.7 No.2
,February 22, 2019
DOI:
10.4236/jamp.2019.72029
729
Downloads
1,545
Views
Citations
This article belongs to the Special Issue on
Mathematical Physical Model and Method
Modifed pennes' equation modelling bio-heat transfer in living tissues: analytical and numerical analysis
(Articles)
Ahmed Lakhssassi
,
Emmanuel Kengne
,
Hicham Semmaoui
Natural Science
Vol.2 No.12
,December 28, 2010
DOI:
10.4236/ns.2010.212168
9,781
Downloads
21,250
Views
Citations
Effect of Metabolic Reactions on Thermoregulation in Human Males and Females Body
(Articles)
Saraswati Acharya
,
D. B. Gurung
,
V. P. Saxena
Applied Mathematics
Vol.4 No.5A
,May 22, 2013
DOI:
10.4236/am.2013.45A005
4,771
Downloads
7,820
Views
Citations
This article belongs to the Special Issue on
Finite Element Method
Extended Generalized Riccati Equation Mapping for Thermal Traveling-Wave Distribution in Biological Tissues through a Bio-Heat Transfer Model with Linear/Quadratic Temperature-Dependent Blood Perfusion
(Articles)
Emmanuel Kengne
,
Fathi Ben Hamouda
,
Ahmed Lakhssassi
Applied Mathematics
Vol.4 No.10
,October 29, 2013
DOI:
10.4236/am.2013.410199
5,476
Downloads
8,162
Views
Citations
Higher Order Implicit Scheme for Nonlinear Time-Dependent Convection-Diffusion- Reaction Equation
(Articles)
Uzair Ahmed
,
Daoud Suleiman Mashat
,
Dalal Adnan Maturi
American Journal of Computational Mathematics
Vol.12 No.2
,June 10, 2022
DOI:
10.4236/ajcm.2022.122014
137
Downloads
727
Views
Citations
Modeling of the Absorption of the Electromagnetic Wave Energy in the Human Head Induced by Cell Phone
(Articles)
Damian Goik
,
Marcin Sieniek
,
Piotr Gurgul
,
Maciej Paszyński
Journal of Applied Mathematics and Physics
Vol.2 No.12
,November 25, 2014
DOI:
10.4236/jamp.2014.212124
3,289
Downloads
3,913
Views
Citations
Modeling on Metabolic Rate and Thermoregulation in Three Layered Human Skin during Carpentering, Swimming and Marathon
(Articles)
Dev Chandra Shrestha
,
Saraswati Acharya
,
Dil Bahadur Gurung
Applied Mathematics
Vol.11 No.8
,August 21, 2020
DOI:
10.4236/am.2020.118050
917
Downloads
4,899
Views
Citations
Effect of Viscous Dissipation (
Φ
) on Temperature Distribution of Blood Plasma in Presence of a Magnetic Field
(Articles)
Lilian Moraa Moseti
,
Joash Kerongo
,
Vincent Bulinda
Applied Mathematics
Vol.14 No.9
,September 22, 2023
DOI:
10.4236/am.2023.149036
107
Downloads
424
Views
Citations
Estimation of Thermal Pollution Using Numerical Simulation of Energy Equation Coupled with Viscous Burgers’ Equation
(Articles)
Prokriti Biswas
,
Laek Sazzad Andallah
,
Khandaker Md. Eusha-Bin-Hafiz
American Journal of Computational Mathematics
Vol.12 No.3
,August 12, 2022
DOI:
10.4236/ajcm.2022.123020
160
Downloads
720
Views
Citations
A Mathematical Model to Solve Bio-Heat Transfer Problems through a Bio-Heat Transfer Equation with Quadratic Temperature-Dependent Blood Perfusion under a Constant Spatial Heating on Skin Surface
(Articles)
Emmanuel Kengne
,
Idir Mellal
,
Mariem Ben Hamouda
,
Ahmed Lakhssassi
Journal of Biomedical Science and Engineering
Vol.7 No.9
,July 28, 2014
DOI:
10.4236/jbise.2014.79071
6,030
Downloads
9,112
Views
Citations
The Numerical Solution of the MRLW Equation Using the Multigrid Method
(Articles)
Yasser Mohamed Abo Essa
,
Ibrahim Abouefarag
,
El-Desouky Rahmo
Applied Mathematics
Vol.5 No.21
,December 1, 2014
DOI:
10.4236/am.2014.521310
4,061
Downloads
5,122
Views
Citations
Multigrid Method for the Numerical Solution of the Modified Equal Width Wave Equation
(Articles)
Yasser M. Abo Essa
Applied Mathematics
Vol.7 No.10
,June 24, 2016
DOI:
10.4236/am.2016.710102
2,056
Downloads
3,101
Views
Citations
Experimental Validation and Simulation of Fourier and Non-Fourier Heat Transfer Equation during Laser Nano-Phototherapy of Lung Cancer Cells: An
in Vitro
Assay
(Articles)
Mohammad E. Khosroshahi
,
Lida Ghazanfari
,
Payam Khoshkenar
Journal of Modern Physics
Vol.5 No.18
,December 29, 2014
DOI:
10.4236/jmp.2014.518208
5,593
Downloads
6,827
Views
Citations
On the Conservative Finite Difference Scheme for the Generalized Novikov Equation
(Articles)
Wenxia Chen
,
Qianqian Zhu
,
Ping Yang
Journal of Applied Mathematics and Physics
Vol.5 No.9
,September 22, 2017
DOI:
10.4236/jamp.2017.59150
883
Downloads
1,697
Views
Citations
Finite Difference Method Applied in Two-Dimensional Heat Conduction Problem in the Permanent Regime in Rectangular Coordinates
(Articles)
Vânia Gonçalves de Brito dos Santos
,
Paula Tamires Gomes dos Anjos
Advances in Pure Mathematics
Vol.12 No.9
,September 7, 2022
DOI:
10.4236/apm.2022.129038
419
Downloads
4,114
Views
Citations
A Numerical Solution of Heat Equation for Several Thermal Diffusivity Using Finite Difference Scheme with Stability Conditions
(Articles)
Wahida Zaman Loskor
,
Rama Sarkar
Journal of Applied Mathematics and Physics
Vol.10 No.2
,February 24, 2022
DOI:
10.4236/jamp.2022.102034
451
Downloads
7,211
Views
Citations
Magneto-Hydrodynamics Flow of Newtonian Fluid over a Suddenly Accelerated Flat Plate
(Articles)
M. A. Haque
Open Journal of Fluid Dynamics
Vol.8 No.1
,March 29, 2018
DOI:
10.4236/ojfd.2018.81006
956
Downloads
2,064
Views
Citations
Unsteady Heat Transfer of Viscous Incompressible Boundary Layer Fluid Flow through a Porous Plate with Induced Magnetic Field
(Articles)
Ariful Islam
,
Muhammad Minarul Islam
,
Mahabur Rahman
,
Lasker Ershad Ali
,
Md. Shakhaoath Khan
Journal of Applied Mathematics and Physics
Vol.4 No.2
,February 25, 2016
DOI:
10.4236/jamp.2016.42037
2,940
Downloads
4,308
Views
Citations
A Comparative Study of Two Spatial Discretization Schemes for Advection Equation
(Articles)
Huda O. Bakodah
Int'l J. of Modern Nonlinear Theory and Application
Vol.5 No.1
,March 8, 2016
DOI:
10.4236/ijmnta.2016.51006
2,862
Downloads
4,221
Views
Citations
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