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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
9,790
Downloads
21,273
Views
Citations
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
5,819
Downloads
11,754
Views
Citations
Temperature Distributions for Regional Hypothermia Based on Nonlinear Bioheat Equation of Pennes Type: Dermis and Subcutaneous Tissues
(Articles)
Emmanuel Kengne
,
Ahmed Lakhssassi
,
Rémi Vaillancourt
Applied Mathematics
Vol.3 No.3
,March 27, 2012
DOI:
10.4236/am.2012.33035
5,264
Downloads
9,440
Views
Citations
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
5,483
Downloads
8,183
Views
Citations
Solitary Wave Solution of the Two-Dimensional Regularized Long-Wave and Davey-Stewartson Equations in Fluids and Plasmas
(Articles)
Omar H. El-Kalaawy
,
Rafat S. Ibrahim
Applied Mathematics
Vol.3 No.8
,August 1, 2012
DOI:
10.4236/am.2012.38124
6,160
Downloads
11,278
Views
Citations
Traveling Wave Solutions of the Quintic Complex One-Dimensional Ginzburg-Landau Equation
(Articles)
Hans Werner Schürmann
,
Valery Serov
Applied Mathematics
Vol.12 No.7
,July 16, 2021
DOI:
10.4236/am.2021.127043
197
Downloads
826
Views
Citations
This article belongs to the Special Issue on
Partial Differential Equations and Applications
The Extension of Cauchy Integral Formula to the Boundaries of Fundamental Domains
(Articles)
Dorin Ghisa
Advances in Pure Mathematics
Vol.10 No.4
,April 27, 2020
DOI:
10.4236/apm.2020.104012
681
Downloads
3,041
Views
Citations
Jacobi Elliptic Function Solutions for (2 + 1) Dimensional Boussinesq and Kadomtsev-Petviashvili Equation
(Articles)
Chunhuan Xiang
Applied Mathematics
Vol.2 No.11
,November 30, 2011
DOI:
10.4236/am.2011.211183
6,055
Downloads
11,085
Views
Citations
Correction and Supplement to Approach for a Proof of Riemann Hypothesis by Second Mean-Value Theorem
(Articles)
Alfred Wünsche
Advances in Pure Mathematics
Vol.7 No.3
,March 31, 2017
DOI:
10.4236/apm.2017.73013
6,657
Downloads
7,414
Views
Citations
Deriving CDF of Kolmogorov-Smirnov Test Statistic
(Articles)
Jan Vrbik
Applied Mathematics
Vol.11 No.3
,March 17, 2020
DOI:
10.4236/am.2020.113018
1,056
Downloads
4,275
Views
Citations
A Closed Form Solution to a Special Normal Form of Riccati Equation
(Articles)
Haiduke Sarafian
Advances in Pure Mathematics
Vol.1 No.5
,September 21, 2011
DOI:
10.4236/apm.2011.15053
4,379
Downloads
9,243
Views
Citations
Wavelet Collocation Method for Solving Elliptic Singularly Perturbed Problem
(Articles)
Bin Lin
Journal of Applied Mathematics and Physics
Vol.7 No.1
,January 22, 2019
DOI:
10.4236/jamp.2019.71014
586
Downloads
1,190
Views
Citations
Numeric Solution of the Fokker-Planck-Kolmogorov Equation
(Articles)
Claudio Floris
Engineering
Vol.5 No.12
,November 26, 2013
DOI:
10.4236/eng.2013.512119
7,374
Downloads
12,195
Views
Citations
FEM Approach for Transient Heat Transfer in Human Eye
(Articles)
Gokul K. C.
,
Dil Bahadur Gurung
,
Pushpa Raj Adhikary
Applied Mathematics
Vol.4 No.10B
,October 4, 2013
DOI:
10.4236/am.2013.410A2003
5,032
Downloads
9,060
Views
Citations
This article belongs to the Special Issue on
Biomathematics
A New Integral Equation for the Spheroidal Equations in Case of m Equal to 1
(Articles)
Guihua Tian
Advances in Pure Mathematics
Vol.4 No.6
,June 6, 2014
DOI:
10.4236/apm.2014.46030
4,767
Downloads
5,950
Views
Citations
This article belongs to the Special Issue on
Integral Equations
Jacobi Elliptic Function Expansion Method for the Nonlinear Vakhnenko Equation
(Articles)
Chunhuan Xiang
,
Honglei Wang
Journal of Applied Mathematics and Physics
Vol.8 No.5
,April 30, 2020
DOI:
10.4236/jamp.2020.85061
485
Downloads
1,399
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
4,775
Downloads
7,828
Views
Citations
This article belongs to the Special Issue on
Finite Element Method
Hyperthermia: Clinical Applications and Theoretical Models
(Articles)
Habib E. Ashoor
Journal of Biosciences and Medicines
Vol.10 No.3
,March 8, 2022
DOI:
10.4236/jbm.2022.103007
237
Downloads
1,399
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
6,034
Downloads
9,123
Views
Citations
Dynamic Model of Flying Machines with the Autopilot
(Articles)
Toghrul Karimli
American Journal of Operations Research
Vol.4 No.4
,July 9, 2014
DOI:
10.4236/ajor.2014.44019
2,340
Downloads
3,369
Views
Citations
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