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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
5,820
Downloads
11,577
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
735
Downloads
1,445
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
9,796
Downloads
20,580
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
4,783
Downloads
7,543
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
5,486
Downloads
7,539
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
139
Downloads
671
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
3,294
Downloads
3,851
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
921
Downloads
4,527
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
108
Downloads
366
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
165
Downloads
636
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
6,042
Downloads
8,136
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
4,066
Downloads
5,061
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
2,058
Downloads
3,039
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
5,602
Downloads
6,496
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
889
Downloads
1,574
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
424
Downloads
3,915
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
464
Downloads
6,971
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
960
Downloads
1,971
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
2,942
Downloads
4,221
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
2,864
Downloads
4,156
Views
Citations
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