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Papers by Noureddine Alaa

Computational simulation of a new system modelling ions electromigration through biological membr... more Computational simulation of a new system modelling ions electromigration through biological membranes

The Red Blood Cells (RBC) data set is a multivariate data set inspired by prominent E. Evans arti... more The Red Blood Cells (RBC) data set is a multivariate data set inspired by prominent E. Evans article "Improved Measurements of the Erythrocyte Geometry" Microvascular Research, 4(4):335-347, 1972. The data set consists of fifty cells for each tonicity of three species of RBC. Attribute Information: The RBC data set has six attributes. You will be using the first five attributes to predict the species, whose class is defined in the fifth attribute of the data set. Input Variables : • Diameter in μm • Minimum thickness in μm • Maximum thickness in μm • Surface area in μm^2 • Volume in μm^3 Output Variables: Class (RBC Species) • RBC at 300 mOsm • RBC at 217 mOsm • RBC at 131 mOsm An example of the different species is given in the attached figure. The complete program for generating the RBC database in Matlab can be found in the RBCdataset.m file in the attached file. The bases generated by this program for the case N = 50 and N = 500 where N is the number of each species in the base are given here in the excel tables below.

International Journal of Mathematics and Statistics, 2011

In this paper we show the existence of weak solutions for some quasilinear degenered elliptic equ... more In this paper we show the existence of weak solutions for some quasilinear degenered elliptic equations with Dirichlet boundary conditions. The nonlinearity we consider here has critical growth with respect to the gradient and the data is in L^1.

Earth Science Informatics, 2022

Computational simulation of the bone remodeling using the finite element method: an elastic-damag... more Computational simulation of the bone remodeling using the finite element method: an elastic-damage theory for small displacements

The slums are now a reality to be recognised. They were undoubtedly the prior nightmare of inhabi... more The slums are now a reality to be recognised. They were undoubtedly the prior nightmare of inhabitants in the world. Marrakech region experienced strong population growth. There is also a major investment in the tourism sector in the city and its outskirts. Unable to access any property, for lack of means, the newcomers live in these slums, and build shelters. What makes things more difficult? The solutions exist and are even multiple. First, shanty towns should be included in urban planning to allow for consistent management and better integration of informal settlements in the city. Then, plots could be created for these people to avoid disorganized construction. In this work, we are interested in detecting the boundaries of the villages near Marrakech from their satellite images, as a study case: Sidi Zouine village (31.67,8.34). Our approach has two stages: The first, using k nearest neighbour method for classification of the satellite image. The second, using a mean filter to r...

International Journal of Computational Biology and Drug Design, 2020

In this paper, we present a new mathematical model that explains the transmission along a biologi... more In this paper, we present a new mathematical model that explains the transmission along a biological neuron. We also present a numerical scheme based on the four order β-method to simulate numerically the transmission. The idea is to couple the β-method of high order with Runge Kutta method in order to get high order schemes without oscillations. Furthermore, various numerical experiments are presented to show the power and efficiency of our proposed model.

International Journal of Bio-Inspired Computation, 2018

Communications on Pure and Applied Analysis

This preface gives a short scientific biography of Michel Pierre.

We present a numerical method to compute weak solutions of quasi-linear elliptic problem with Dir... more We present a numerical method to compute weak solutions of quasi-linear elliptic problem with Dirichlet boundary conditions with data belonging to L1. Numerical exemples are presented and commented.

In this work, we are interested in the mathematical model of reaction diffusion systems. The orig... more In this work, we are interested in the mathematical model of reaction diffusion systems. The originality of our study is to work with concentrations appearing in reactors together with measure initial data. To validate this model, we prove the existence of global weak solutions. The “j” technique introduced by Pierre and Martin [18] is suitable for this type of solutions. However, its adaptation has some new technical difficulties that we have to overcome.

In this article we show the existence of weak solutions for some quasilinear degenerate elliptic ... more In this article we show the existence of weak solutions for some quasilinear degenerate elliptic systems arising in modeling chemotaxis and an-giogenesis. The nonlinearity we consider has critical growth with respect to the gradient and the data are in L 1 .

International Journal of Mathematics and Statistics, 2008

To better understand the nickel-iron electrodeposition process, we are interested in the one-dime... more To better understand the nickel-iron electrodeposition process, we are interested in the one-dimensional model. This model addresses dissociation, diffusion, electromigration, convection and deposition of multiple ion species. We study the global existence of solutions that are here different ion concentrations in the mixture as well as the electric potential. The non regularity of data imposes us to introduce the notion of weak solution adapted for our model. The classic techniques, based on the C estimations, to prove the existence and the positivity of solutions fall in defect and news techniques must be developed. We present them here and we obtain global existence and positivity of weak solution for our model without no restriction of growth on the non linear terms.

To better understand the nickel-iron electrodeposition process, we are interested in the one-dime... more To better understand the nickel-iron electrodeposition process, we are interested in the one-dimensional model. This model addresses dissociation, diffusion, electomigration, convection and deposition of multiple ion species. We study the global existence of solutions that are here different ion concentrations in the mixture as well as the electric potential. We present the news techniques to obtain global existence and positivity of classical solution for our model in the quadratic case, without no restriction of growth on the non linear terms.

Annals of the University of Craiova - Mathematics and Computer Science Series, 2015

Optimization of Two Source Energy Model (TSEB) parameters according to different local environmen... more Optimization of Two Source Energy Model (TSEB) parameters according to different local environmental characteristics is more important to well predict surface turbulent uxes. To achieve such a target, multi-objective optimization methodology is a good approach inasmuch as several types of objective are minimized or maximized simultaneously. In this paper, this technique is implemented on a closed TSEB Model (Norman et al. 1995, Kustas et al. 1999). The main outputs of this model are the latent and sensible heats which are forming with Soil heat the total net radiation to surface. TSEB Model adaptation to semi-arid area was applying to enhance its performance. The Pareto optimization goal is to minimize latent and sensible heats Error while maximizing TSEB Model performance.

The accuracy degree of extracted canopy latent heat from canopy net radiation is depending extrem... more The accuracy degree of extracted canopy latent heat from canopy net radiation is depending extremely to the proposed PriestleyTaylor approximation. This extracting canopy latent heat is an initial approximation to compute iteratively partitioned energy components to soil and vegetation using in Two Source Energy Balance (TSEB) Model. This approximation is using a PriestleyTaylor coefficient (αp) and fractional of Leaf Area Index (fg) that is green. The standard values are 1.26 and 1 for respectively (αp) and (fg). This study is focused to identify these two transpiration parameters (αp) and (fg) by Genetic Algorithm method to accurately predict patterns of turbulent energy fluxes by TSEB Model (Norman et al. 1995), over irrigated olive orchard in semi-arid area (Marrakech, Morocco). The (αp) and (fg) are depending on local climatic characteristics and data measurements accuracy for different periods of the year 2003. In summer 2003, the GA gives optimal values for (αp=0.93) and (fg=...

Computational simulation of a new system modelling ions electromigration through biological membr... more Computational simulation of a new system modelling ions electromigration through biological membranes

The Red Blood Cells (RBC) data set is a multivariate data set inspired by prominent E. Evans arti... more The Red Blood Cells (RBC) data set is a multivariate data set inspired by prominent E. Evans article "Improved Measurements of the Erythrocyte Geometry" Microvascular Research, 4(4):335-347, 1972. The data set consists of fifty cells for each tonicity of three species of RBC. Attribute Information: The RBC data set has six attributes. You will be using the first five attributes to predict the species, whose class is defined in the fifth attribute of the data set. Input Variables : • Diameter in μm • Minimum thickness in μm • Maximum thickness in μm • Surface area in μm^2 • Volume in μm^3 Output Variables: Class (RBC Species) • RBC at 300 mOsm • RBC at 217 mOsm • RBC at 131 mOsm An example of the different species is given in the attached figure. The complete program for generating the RBC database in Matlab can be found in the RBCdataset.m file in the attached file. The bases generated by this program for the case N = 50 and N = 500 where N is the number of each species in the base are given here in the excel tables below.

International Journal of Mathematics and Statistics, 2011

In this paper we show the existence of weak solutions for some quasilinear degenered elliptic equ... more In this paper we show the existence of weak solutions for some quasilinear degenered elliptic equations with Dirichlet boundary conditions. The nonlinearity we consider here has critical growth with respect to the gradient and the data is in L^1.

Earth Science Informatics, 2022

Computational simulation of the bone remodeling using the finite element method: an elastic-damag... more Computational simulation of the bone remodeling using the finite element method: an elastic-damage theory for small displacements

The slums are now a reality to be recognised. They were undoubtedly the prior nightmare of inhabi... more The slums are now a reality to be recognised. They were undoubtedly the prior nightmare of inhabitants in the world. Marrakech region experienced strong population growth. There is also a major investment in the tourism sector in the city and its outskirts. Unable to access any property, for lack of means, the newcomers live in these slums, and build shelters. What makes things more difficult? The solutions exist and are even multiple. First, shanty towns should be included in urban planning to allow for consistent management and better integration of informal settlements in the city. Then, plots could be created for these people to avoid disorganized construction. In this work, we are interested in detecting the boundaries of the villages near Marrakech from their satellite images, as a study case: Sidi Zouine village (31.67,8.34). Our approach has two stages: The first, using k nearest neighbour method for classification of the satellite image. The second, using a mean filter to r...

International Journal of Computational Biology and Drug Design, 2020

In this paper, we present a new mathematical model that explains the transmission along a biologi... more In this paper, we present a new mathematical model that explains the transmission along a biological neuron. We also present a numerical scheme based on the four order β-method to simulate numerically the transmission. The idea is to couple the β-method of high order with Runge Kutta method in order to get high order schemes without oscillations. Furthermore, various numerical experiments are presented to show the power and efficiency of our proposed model.

International Journal of Bio-Inspired Computation, 2018

Communications on Pure and Applied Analysis

This preface gives a short scientific biography of Michel Pierre.

We present a numerical method to compute weak solutions of quasi-linear elliptic problem with Dir... more We present a numerical method to compute weak solutions of quasi-linear elliptic problem with Dirichlet boundary conditions with data belonging to L1. Numerical exemples are presented and commented.

In this work, we are interested in the mathematical model of reaction diffusion systems. The orig... more In this work, we are interested in the mathematical model of reaction diffusion systems. The originality of our study is to work with concentrations appearing in reactors together with measure initial data. To validate this model, we prove the existence of global weak solutions. The “j” technique introduced by Pierre and Martin [18] is suitable for this type of solutions. However, its adaptation has some new technical difficulties that we have to overcome.

In this article we show the existence of weak solutions for some quasilinear degenerate elliptic ... more In this article we show the existence of weak solutions for some quasilinear degenerate elliptic systems arising in modeling chemotaxis and an-giogenesis. The nonlinearity we consider has critical growth with respect to the gradient and the data are in L 1 .

International Journal of Mathematics and Statistics, 2008

To better understand the nickel-iron electrodeposition process, we are interested in the one-dime... more To better understand the nickel-iron electrodeposition process, we are interested in the one-dimensional model. This model addresses dissociation, diffusion, electromigration, convection and deposition of multiple ion species. We study the global existence of solutions that are here different ion concentrations in the mixture as well as the electric potential. The non regularity of data imposes us to introduce the notion of weak solution adapted for our model. The classic techniques, based on the C estimations, to prove the existence and the positivity of solutions fall in defect and news techniques must be developed. We present them here and we obtain global existence and positivity of weak solution for our model without no restriction of growth on the non linear terms.

To better understand the nickel-iron electrodeposition process, we are interested in the one-dime... more To better understand the nickel-iron electrodeposition process, we are interested in the one-dimensional model. This model addresses dissociation, diffusion, electomigration, convection and deposition of multiple ion species. We study the global existence of solutions that are here different ion concentrations in the mixture as well as the electric potential. We present the news techniques to obtain global existence and positivity of classical solution for our model in the quadratic case, without no restriction of growth on the non linear terms.

Annals of the University of Craiova - Mathematics and Computer Science Series, 2015

Optimization of Two Source Energy Model (TSEB) parameters according to different local environmen... more Optimization of Two Source Energy Model (TSEB) parameters according to different local environmental characteristics is more important to well predict surface turbulent uxes. To achieve such a target, multi-objective optimization methodology is a good approach inasmuch as several types of objective are minimized or maximized simultaneously. In this paper, this technique is implemented on a closed TSEB Model (Norman et al. 1995, Kustas et al. 1999). The main outputs of this model are the latent and sensible heats which are forming with Soil heat the total net radiation to surface. TSEB Model adaptation to semi-arid area was applying to enhance its performance. The Pareto optimization goal is to minimize latent and sensible heats Error while maximizing TSEB Model performance.

The accuracy degree of extracted canopy latent heat from canopy net radiation is depending extrem... more The accuracy degree of extracted canopy latent heat from canopy net radiation is depending extremely to the proposed PriestleyTaylor approximation. This extracting canopy latent heat is an initial approximation to compute iteratively partitioned energy components to soil and vegetation using in Two Source Energy Balance (TSEB) Model. This approximation is using a PriestleyTaylor coefficient (αp) and fractional of Leaf Area Index (fg) that is green. The standard values are 1.26 and 1 for respectively (αp) and (fg). This study is focused to identify these two transpiration parameters (αp) and (fg) by Genetic Algorithm method to accurately predict patterns of turbulent energy fluxes by TSEB Model (Norman et al. 1995), over irrigated olive orchard in semi-arid area (Marrakech, Morocco). The (αp) and (fg) are depending on local climatic characteristics and data measurements accuracy for different periods of the year 2003. In summer 2003, the GA gives optimal values for (αp=0.93) and (fg=...