Curriculum Vitae

Personal Information Full name : Nader EL KHATIB 33 years old, married Nationality : French and Lebanese

Current Professional Situation : Assistant Professor of Mathematics at the Lebanese American University Lebanese American University Computer Science and Mathematics Department, Byblos P.O.Box 36, Byblos Lebanon Tel : +961-9-547254 ext. 2879 Fax :+961-9-547256

E-mail : [email protected] Web : http://nader.elkhatib.free.fr OR http://sas.lau.edu.lb/csm/people/nader-el-khatib.php

Keywords : mathematical biology, mathematical modelling, atherosclerosis, cell membrane, applied mathematics, numerical methods, finite elements, partial differential equations, fluid and solid mechanics, fluid-structure interaction, numerical simulations, elasticity & hyper-elasticity, Newtonian & non-Newtonian fluid flows, pedestrian traffic, conservation laws, finite volumes, Eikonal equation.

Education profile 2005-2009 : PhD in applied mathematics from Université Lyon 1 (France) and teaching assistant (monitor position) at the École Centrale de Lyon. PhD thesis title : "Mathematical modelling of Atherosclerosis". Obtained with the grade With Great Honors 2004-2005 : M.Sc. degree in Mathematical modelling & Applications, Université Jean Monnet, Saint-Etienne, FRANCE. Thesis title : Mathematical Modelling of the Cell Membrane’s Deformation, Grenoble, France. 2001-2002 : B.SC. degree in Mathematics at Université de Savoie, FRANCE.

Professional profile 2010-2011 Post Doctoral fellow at The French National Institute for Research in Computer Science and Control (INRIA), France. 2008-2010 : Temporary Professor and Researcher at the École Centrale of Lyon, France. 2005-2008 : PhD fellow at Université Lyon 1, and assistant teacher at the École Centrale of Lyon, France.

Projects Management Current : Member of the French-Greek project, PLATON :"Patient Specific Modeling of Atherosclerotic Lesions Leading to Vascular Stenosis" Current : Member of the French-Polish project, POLONIUM :"Reaction Diffusion Equations in Biology" Current : Member of the French-Moroccan-Portuguese project, VOLUBILIS :"Modélisation Mathématique Des Écoulements Sanguins Avec Application à L’Athérosclérose et Autres Maladies"

Research Work Books – N. El Khatib, Modelling Atherosclerosis, Towards the Mathematical Prediction, Editions Universitaires Européennes, 2010. (available on http ://www.amazon.com) Publications • N. El Khatib, P. Goatin and M. D. Rosini On weak entropy solutions of Hughes’ model for pedestrian motion. Accepted. To appear in Journal of Applied Mathematics and Physics, Springer. • N. El Khatib, S. Génieys, B. Kazmierczak and V. Volpert Reaction-Diffusion Model of Atherosclerosis Development. Journal of Mathematical Biology, 2012. Springer. Online First. • N. EL Khatib, S. Génieys, B. Kazmierczak and V. Volpert Mathematical Modelling of Atherosclerosis as an Inflammatory Disease. Phil. Trans. R. Soc. A 2009 367, 4877-4886. • N. EL Khatib, S. Génieys and V. Volpert Atherosclerosis initiation modeled as an inflammatory process, Mathematical modelling of Natural Phenomena, Vol.2 Number 2, 2007. In preparation • N. El Khatib Mathematical Modelling of the Electrical Activity of the Heart Using Fitzhugh-Nagumo Equations • N. EL Khatib 2D to 1D Convergence of Reaction-Diffusion Systems with a Non-Linear Boundary Condition Proceedings, Conferences and Seminars • December 2010 : speaker at The French National Institute for Research in Computer Science and Control (INRIA), Sophia-Antipolis, France. • November 2009 : The 16th International Scientific Conference of the Lebanese Association for the Advancement of Science, Beirut, Lebanon. Accepted paper and oral presentation : mathematical modelling of the Blood-Atheroma Plaque Interaction. • October 2009 : Invited to the second Atherosclerosis modelling day, Université Paris5. • October 2008 : Invited to the first Atherosclerosis modelling day, Université Paris5. • July-August 2008 : "Society for Mathematical Biology Conference", Fields Institute, University of Toronto, Canada. Accepted paper and oral presentation : Mathematical modelling of the Blood-Atheroma Plaque Interaction. • June 2008 : Invited speaker at the conference on "Differential Equations and Applications to Mathematical Biology", Le Havre, France. Oral presentation : "Mathematical modelling of Atherosclerosis". • May 2008 : Invited speaker at the seminar of the Université Jean Monnet, Saint-Etienne, France. Oral presentation : mathematical modelling of atherosclerosis. • March 2008 : Workshop "blood and air flow modelling in complex geometries", INRIA Rocquencourt, Paris, France. • January 2008 : Marrakesh International Conference and Workshop on Mathematical Biology. Poster presentation : mathematical modelling of atherosclerosis. • December 2007 : Invited speaker at the Université de Bordeaux, in the MABEM (Mathematics for Biology and Medicine) research group. Object of the lecture : Mathematical modelling of Atherosclerosis as an Inflammatory Disease. • November 2007 : Participation to the workshop "Mathematical Modelling of Blood Diseases", Université Lyon 1, Villeurbanne, France. • October 2007 : European Conference on Complex Systems (ECCS 2007), Dresden, Germany. Communication object : Mathematical Model of Atherosclerosis. • October 2007 : COMSOL International Conference 2007, Grenoble, FRANCE. Communication object : Mathematical modelling of Atheroma Plaque Deformation Using Comsol Multiphysics. • November 2005 : FEMLAB international conference in Paris. Communication object : Analysis of Cell Deformation with FEMLAB. Scientific stays and collaborations • From October 10th till November 2nd 2007 : Scientific stay at the Foundation for Research and Technology - HELLAS (FORTH) in the Institute of Applied and Computational Mathematics in Crete (Greece). Research object : modelling non-Newtonian effects on the blood recirculations downstream the atherosclerotic plaque and comparison with the Newtonian effects in a realistic geometry of a stenosed carotid taken from the MRI imaging. This research work was conducted with the collaboration of Yannis Papaharilaou, researcher at FORTH. • Collaboration with Prof. John McGregor’s team at the King’s College in London, England. The study of the bloodplaque interaction was the object of a visit, discussion and presentation at the King’s College by the end of May 2008.

Advising experience • Current : co-advising the PhD student Oualid Kafi (University of Casablanca, Morocco) with Prof. S. Boujena. • June - July 2010 : Advising the student K. Auquier in the framework of his master’s internship. Object of the internship : Numerical modelling of atherosclerosis under Matlab. Journal Referee and Reviewer • Referee for the journal Journal of Mathematical Biology. • Referee for the journal Mathematical Modelling of Natural Phenomena. • Reviewer for the journal Open Access Bioinformatics.

Teaching 2005-2010 at École Centrale de Lyon – "Numerical analysis" : Discretisation of boundary problems using the finite differences method. Treating obtained sparse systems. Direct methods for solving linear systems : Gauss, LU factorization. Iterative methods for solving linear systems : Jacobi, Gauss-Seidel, Gradient conjugate, Gradient descent. Iterative methods for symmetric positive definite matrices. Solving nonlinear systems. Least squares approximation. Computer lab : application of these methods to solve a concrete problem in physics. Programming under Matlab. – "Probabilities and Statistics" : Probabilities theory. Review of combinatorics principles. Probabilistic models, random variables, mean value (expected value), variance. Random vectors, independence, conditioning, covariance. Sequences of random variables, asymptotic theorems, introduction to estimation. Inferential statistics. Descriptive statistics. Moments, confidence interval estimation. Tests theory (parametric tests, Chi-square test). Computer lab : simulation of random variables, Monte Carlo methods. Application of the tests using Excel. – "Fourier Transform and Distributions Theory" : Fourier transform for integrable functions and integrable square functions, convolution Test functions spaces Distribution : definition, properties, skills and methods Schwartz spaces and tempered distributions Fourier transform and convolution of tempered distributions – "Applied Analysis" : Normed vectorial spaces Lebesgue integration and spaces Fourier analysis – "Optimization" : Existence of minimum Differentiability and optimality conditions Numerical algorithms : gradient type algorithms, Newton’s method

Awards and Recognitions • October 2005 : PhD fellowship of the French Ministry of Higher Education and Research. • October 2005 : PhD fellowship of The National Council of Scientific Research, Lebanon. • March 2005 : M.S. fellowship of the region "Rhone-Alpes", France.

Schools, Internships Summer schools • August 2008 : EMS-SMI Cortona Summer School : Mathematical and Numerical Models for the Cardiovascular System, Cortona, Italy. Organizing committee : Prof. A. Quarteroni and Prof. L. Formaggia. I have been awarded the Marie-Curie fellowship and have obtained the highest grade "A+ " during this summer school. • August 2007 : Summer school on Complex Systems at the Complex Systems Institute in Paris.

Long duration internships before PhD thesis – M.Sc. internship at the TIMC-IMAG (CNRS) laboratory at Grenoble, FRANCE. Internship object : "Modelling of the cell membrane deformation. Application to the filopods formation". This internship was under the direction of Prof. Jean-Louis Martiel, we have developed a mathematical model describing the filopods formation on the neurone, the base of the nervous system. – M.Sc. internship (first year) at the Mathematics Laboratory of the Université de Savoie, FRANCE under the direction of Prof. Christian Lécot. Studying the Monte Carlo (MC) methods for the numerical integration. Comparing the MC methods with the determinist methods. "Simulation, under Maple environment, of the Markov chains using the Monte Carlo methods". Short duration internships during the PhD thesis • February 2007 : Internship at the center of initiation to the university teaching at the "Université de Bourgogne", Dijon, FRANCE. Internship entitled : "Geographical Information System". • January 2007 : Internship at the center of initiation to the university teaching at the "Université Jean Monnet", Saint Etienne, France. Internship entitled : "Some Freudian Elements in the Teacher’s Activity". • May 2006 : Internship at the center of initiation to the university teaching at the "École Normale Supérieure de Lyon". Internship entitled : "Discovering LATEX". • June 2006 : Internship at the Center of Initiation to the University Teaching at the "École Normale Supérieure de Lyon". Internship entitled : "Dynamic web : PHP mySQL".

Memberships, Responsibilities and Activities – – – –

Member of the American Mathematical Society, (USA), http ://www.ams.org/. Member of the National Network of Complex Systems (France), http ://rnsc.fr/ Member of the Society for Mathematical Biology (USA), http ://www.smb.org/. Former member of the Mathematics and Fundamental Computer Science Council at the Université Lyon 1.

Computer skills • Operating systems : Windows, UNIX. • Scientific software Very good skills in MATLAB, Scilab, Comsol Multiphysics, Maple and FreeFem++. Good skills in C and Fortran programming. • Miscellaneous software Microsoft Office, LATEX. • Other HTML development, Macromedia Dreamweaver, FrontPage, Macromedia Flash animation programming, basic skills in Adobe Photoshop. Basic skills in computer’s hardware, information security & communication protocols (TCP/IP, FTP, HTTP...)

Languages English : fluent. French : fluent. Arabic : mother language.

Hobbies & Interests Web Design. Football, table tennis, swimming. Reading novels and scientific magazines.