REO is a joint project of the Inria Research Center of Paris-Rocquencourt and the Jacques-Louis Lions Laboratory (LJLL) of the Pierre and Marie Curie University (Paris 6) and CNRS (UMR7598). Its research activities are aimed at

modeling some aspects of the cardiovascular and respiratory systems, both in normal and pathological states;

developing and analyzing efficient, robust and reliable numerical methods for the simulation of those models;

developing simulation software to guide medical decision and to design more efficient medical devices.

Marc Thiriet et al. were awarded the "JBSE Paper of the Year 2010" for their article .

New european project (FP7-PEOPLE Marie-Curie Action: "Initial Training Networks") REVAMMAD about Retinal Modeling, Measurement and Diagnosis (Jean-Frédéric Gerbeau, Working Package leader)

New ANR project EXIFSI (ANR JCJC) about fluid-structure interaction (Miguel Fernández, Principal Investigator)

In large vessels and in large bronchi, blood and air flows are generally supposed to be governed by the incompressible Navier-Stokes equations. Indeed in large arteries, blood can be supposed to be Newtonian, and at rest air can be modeled as an incompressible fluid. The cornerstone of the simulations is therefore a Navier-Stokes solver. But other physical features have also to be taken into account in simulations of biological flows, in particular fluid-structure interaction in large vessels and transport of sprays, particles or chemical species.

Fluid-structure coupling occurs both in the respiratory and in the circulatory systems. We focus mainly on blood flows since our work is more advanced in this field. But the methods developed for blood flows could be also applied to the respiratory system.

Here “fluid-structure interaction” means a coupling between the 3D Navier-Stokes equations and a 3D (possibly thin) structure in large displacements.

The numerical simulations of the interaction between the artery wall and the blood flows raise many issues: (1) the displacement of the wall cannot be supposed to be infinitesimal, geometrical nonlinearities are therefore present in the structure and the fluid problem have to be solved on a moving domain (2) the densities of the artery walls and the blood being close, the coupling is strong and has to be tackled very carefully to avoid numerical instabilities, (3) “naive” boundary conditions on the artificial boundaries induce spurious reflection phenomena.

Simulation of valves, either at the outflow of the cardiac chambers or in veins, is another example of difficult fluid-structure problems arising in blood flows. In addition, very large displacements and changes of topology (contact problems) have to be handled in those cases.

Because of the above mentioned difficulties, the interaction between the blood flow and the artery wall has often been neglected in most of the classical studies. The numerical properties of the fluid-structure coupling in blood flows are rather different from other classical fluid-structure problems. In particular, due to stability reasons it seems impossible to successfully apply the explicit coupling schemes used in aeroelasticity.

As a result, fluid-structure interaction in biological flows raise new challenging issues in scientific computing and numerical analysis : new schemes have to be developed and analyzed.

We have proposed over the last few years several efficient fluid-structure interaction algorithms. We are now using these algorithms to address inverse problems in blood flows (for example, estimation of artery wall stiffness from medical imaging).

Complex two-phase fluids can be modeled in many different ways. Eulerian models describe both phases by physical quantities such as the density, velocity or energy of each phase. In the mixed fluid-kinetic models, the biphasic fluid has one dispersed phase, which is constituted by a spray of droplets, with a possibly variable size, and a continuous classical fluid.

This type of model was first introduced by Williams
in the frame of combustion. It was later used to develop the Kiva
code at the Los Alamos National Laboratory, or the
Hesione code , for example. It has a wide range of
applications, besides the nuclear setting: diesel engines, rocket
engines , therapeutic sprays, *etc.* One of the
interests of such a model is that various phenomena on the
droplets can be taken into account with an accurate precision:
collision, breakups, coagulation, vaporization, chemical reactions,
*etc.*, at the level of the droplets.

The model usually consists in coupling a kinetic equation, that describes the spray through a probability density function, and classical fluid equations (typically Navier-Stokes). The numerical solution of this system relies on the coupling of a method for the fluid equations (for instance, a finite volume method) with a method fitted to the spray (particle method, Monte Carlo).

We are mainly interested in modeling therapeutic sprays either for local or general treatments. The study of the underlying kinetic equations should lead us to a global model of the ambient fluid and the droplets, with some mathematical significance. Well-chosen numerical methods can give some tracks on the solutions behavior and help to fit the physical parameters which appear in the models.

Multiscale modeling is a necessary step for blood and respiratory flows. In this section, we focus on blood flows. Nevertheless, similar investigations are currently carried out on respiratory flows.

Problems arising in the numerical modeling of the human cardiovascular
system often require an accurate description of the flow in a specific
sensible subregion (carotid bifurcation, stented artery, *etc.*).
The description of such local phenomena is better addressed by means
of three-dimensional (3D) simulations, based on the numerical
approximation of the incompressible Navier-Stokes equations, possibly
accounting for compliant (moving) boundaries. These simulations
require the specification of boundary data on artificial boundaries
that have to be introduced to delimit the vascular district under
study. The definition of such boundary conditions is critical and, in
fact, influenced by the global systemic dynamics. Whenever the
boundary data is not available from accurate measurements, a proper
boundary condition requires a mathematical description of the action
of the reminder of the circulatory system on the local district. From
the computational point of view, it is not affordable to describe the
whole circulatory system keeping the same level of detail. Therefore,
this mathematical description relies on simpler models, leading to the
concept of *geometrical multiscale* modeling of the circulation
. The underlying idea consists in coupling
different models (3D, 1D or 0D) with a decreasing level of accuracy,
which is compensated by their decreasing level of computational
complexity.

The research on this topic aims at providing a correct methodology and a mathematical and numerical framework for the simulation of blood flow in the whole cardiovascular system by means of a geometric multiscale approach. In particular, one of the main issues will be the definition of stable coupling strategies between 3D and reduced order models.

To model the arterial tree, a standard way consists of imposing a
pressure or a flow rate at the inlet of the aorta, *i.e.* at the
network entry. This strategy does not allow to describe important
features as the overload in the heart caused by backward traveling
waves. Indeed imposing a boundary condition at the beginning of the
aorta artificially disturbs physiological pressure waves going from
the arterial tree to the heart. The only way to catch this
physiological behavior is to couple the arteries with a model of
heart, or at least a model of left ventricle.

A constitutive law for the myocardium, controlled by an electrical
command, has been developed in the CardioSense3D project

A long term goal is to achieve 3D simulations of a system including heart and arteries. One of the difficulties of this very challenging task is to model the cardiac valves. To this purpose, we plan to mix arbitrary Lagrangian Eulerian and fictitious domain approaches, or simplified valve models based on an immersed surface strategy.

The heart is the organ that regulates, through its periodical contraction, the distribution of oxygenated blood in human vessels in order to nourish the different parts of the body. The heart needs its own supply of blood to work. The coronary arteries are the vessels that accomplish this task. The phenomenon by which blood reaches myocardial heart tissue starting from the blood vessels is called in medicine perfusion. The analysis of heart perfusion is an interesting and challenging problem. Our aim is to perform a three-dimensional dynamical numerical simulation of perfusion in the beating heart, in order to better understand the phenomena linked to perfusion. In particular the role of the ventricle contraction on the perfusion of the heart is investigated as well as the influence of blood on the solid mechanics of the ventricle. Heart perfusion in fact implies the interaction between heart muscle and blood vessels, in a sponge-like material that contracts at every heartbeat via the myocardium fibers.

Despite recent advances on the anatomical description and measurements of the coronary tree and on the corresponding physiological, physical and numerical modeling aspects, the complete modeling and simulation of blood flows inside the large and the many small vessels feeding the heart is still out of reach. Therefore, in order to model blood perfusion in the cardiac tissue, we must limit the description of the detailed flows at a given space scale, and simplify the modeling of the smaller scale flows by aggregating these phenomena into macroscopic quantities, by some kind of “homogenization” procedure. To that purpose, the modeling of the fluid-solid coupling within the framework of porous media appears appropriate.

Poromechanics is a simplified mixture theory where a complex
fluid-structure interaction problem is replaced by a superposition of
both components, each of them representing a fraction of the complete
material at every point. It originally emerged in soils mechanics with
the work of Terzaghi , and Biot later
gave a description of the mechanical behavior of a porous medium using
an elastic formulation for the solid matrix, and Darcy's law for the
fluid flow through the matrix. Finite strain poroelastic models have
been proposed (see references in ), albeit with *ad hoc* formulations for which compatibility with thermodynamics laws and incompressibility conditions is not established.

The same way the myocardium needs to be perfused for the heart to beat, when it has reached a certain size, tumor tissue needs to be perfused by enough blood to grow. It thus triggers the creation of new blood vessels (angiogenesis) to continue to grow. The interaction of tumor and its micro-environment is an active field of research. One of the challenges is that phenomena (tumor cell proliferation and death, blood vessel adaptation, nutrient transport and diffusion, etc) occur at different scales. A multi-scale approach is thus being developed to tackle this issue. The long term objective is to predict the efficiency of drugs and optimize therapy of cancer.

We aim to develop a multiscale modeling of the respiratory tract. Intraprenchymal airways distal from generation 7 of the tracheabronchial tree (TBT), which cannot be visualized by common medical imaging techniques, are modeled either by a single simple model or by a model set according to their order in TBT. The single model is based on straight pipe fully developed flow (Poiseuille flow in steady regimes) with given alveolar pressure at the end of each compartment. It will provide boundary conditions at the bronchial ends of 3D TBT reconstructed from imaging data. The model set includes three serial models. The generation down to the pulmonary lobule will be modeled by reduced basis elements. The lobular airways will be represented by a fractal homogenization approach. The alveoli, which are the gas exchange loci between blood and inhaled air, inflating during inspiration and deflating during expiration, will be described by multiphysics homogenization.

Cardiovascular diseases like atherosclerosis or aneurysms are a major cause of mortality. It is generally admitted that a better knowledge of local flow patterns could improve the treatment of these pathologies (although many other biophysical phenomena obviously take place in the development of such diseases). In particular, it has been known for years that the association of low wall shear stress and high oscillatory shear index give relevant indications to localize possible zones of atherosclerosis. It is also known that medical devices (graft or stent) perturb blood flows and may create local stresses favorable with atherogenesis. Numerical simulations of blood flows can give access to this local quantities and may therefore help to design new medical devices with less negative impacts. In the case of aneurysms, numerical simulations may help to predict possible zones of rupture and could therefore give a guide for treatment planning.

In clinical routine, many indices are used for diagnosis. For example, the size of a stenosis is estimated by a few measures of flow rate around the stenosis and by application of simple fluid mechanics rules. In some situations, for example in the case a sub-valvular stenosis, it is known that such indices often give false estimations. Numerical simulations may give indications to define new indices, simple enough to be used in clinical exams, but more precise than those currently used.

It is well-known that the arterial circulation and the heart (or more specifically the left ventricle) are strongly coupled. Modifications of arterial walls or blood flows may indeed affect the mechanical properties of the left ventricle. Numerical simulations of the arterial tree coupled to the heart model could shed light on this complex relationship.

One of the goals of the REO team is to provide various models and simulation tools of the cardiovascular system. The scaling of these models will be adapted to the application in mind: low resolution for modeling the global circulation, high resolution for modeling a small portion of vessel.

Breathing, or “external” respiration (“internal” respiration corresponds to cellular respiration) involves gas transport though the respiratory tract with its visible ends, nose and mouth. Air streams then from the pharynx down to the trachea. Food and drink entry into the trachea is usually prevented by the larynx structure (epiglottis). The trachea extends from the neck into the thorax, where it divides into right and left main bronchi, which enter the corresponding lungs (the left being smaller to accommodate the heart). Inhaled air is then convected in the bronchus tree which ends in alveoli, where gaseous exchange occurs. Surfactant reduces the surface tension on the alveolus wall, allowing them to expand. Gaseous exchange relies on simple diffusion on a large surface area over a short path between the alveolus and the blood capillary under concentration gradients between alveolar air and blood. The lungs are divided into lobes (three on the right, two on the left) supplied by lobar bronchi. Each lobe of the lung is further divided into segments (ten segments of the right lung and eight of the left). Inhaled air contains dust and debris, which must be filtered, if possible, before they reach the alveoli. The tracheobronchial tree is lined by a layer of sticky mucus, secreted by the epithelium. Particles which hit the side wall of the tract are trapped in this mucus. Cilia on the epithelial cells move the mucous continually towards the nose and mouth.

Each lung is enclosed in a space bounded below by the diaphragm and
laterally by the chest wall and the mediastinum. The air movement is
achieved by alternately increasing and decreasing the chest pressure
(and volume). When the airspace transmural pressure rises, air is
sucked in. When it decreases, airspaces collapse and air is expelled.
Each lung is surrounded by a pleural cavity, except at its hilum where
the inner pleura give birth to the outer pleura. The pleural layers
slide over each other. The tidal volume is nearly equal to 500

The lungs may fail to maintain an adequate supply of air. In premature infants surfactant is not yet active. Accidental inhalation of liquid or solid and airway infection may occur. Chronic obstructive lung diseases and lung cancers are frequent pathologies and among the three first death causes in France.

One of the goals of REO team in the ventilation field is to visualize the airways (virtual endoscopy) and simulate flow in image-based 3D models of the upper airways (nose, pharynx, larynx) and the first generations of the tracheobronchial tree (trachea is generation 0), whereas simple models of the small bronchi and alveoli are used (reduced-basis element method, fractal homogenization, multiphysics homogenization, lumped parameter models), in order to provide the flow distribution within the lung segments. This activity has been carried out in the framework of successive research programs: RNTS “R-MOD” until 2005, ACI “le-poumon-vous-dis-je” until 2007 and ANR M3RS until 2013.

The purpose is to simulate the propagation of the action potential in the heart. A lot of works has already been devoted to this topic in the literature (see *e.g.* , , and the references therein), nevertheless there are only very few studies showing realistic electrocardiograms obtained from partial differential equations models. Our goal is to find a compromise between two opposite requirements: on the one hand, we want to use predictive models, and therefore models based on physiology, on the other hand, we want to use models simple enough to be parametrized (in view of patient-specific simulations). We are now working on using our ECG simulator to address the inverse problem of electrocardiology. In collaboration with the Macsproject-team, we are working on the electromechanical coupling in the myocardium.
We are also interested in various clinical and industrial issues related to cardiac electrophysiology. In particular, we collaborated with ELA Medical company (pacemaker manufacturer, Sorin group).

LiFE-V

Mistral is a finite element library which implements in particular fluid-structure interaction algorithms (ALE and Fictitious domain formulations), fluid surface flow (ALE) and incompressible magnetohydrodynamics equations. Mistral results from a collaboration between Inria and ENPC (CERMICS).

FELiScE – standing for “Finite Elements for Life Sciences and Engineering” – is a new finite element code which the MACS and REO project-teams have decided to jointly develop in order to build up on their respective experiences concerning finite element simulations. One specific objective of this code is to provide in a unified software environment all the state-of-the-art tools needed to perform simulations of the complex cardiovascular models considered in the two teams – namely involving fluid and solid mechanics, electrophysiology, and the various associated coupling phenomena. FELISCE is written in C++, and may be later released as an opensource library.
https://

SHELDDON (SHELls and structural Dynamics with DOmain decomposition in
Nonlinear analysis) is a finite element library based on the Modulef
package which contains shell elements, nonlinear procedures and PVM
subroutines used in domain decomposition or coupling methods, in
particular fluid-structure interaction. (https://

In we introduce a class of explicit Robin-Neumann schemes for the explicit coupling of a general thin-structure (e.g., viscoelastic and non-linear) with an incompressible fluid. These methods generalize the displacement correction schemes introduced in . A priori stability and convergence error estimates show that optimal first-order accuracy can be achieved with appropriate extrapolation and without compromising stability. A deep numerical study confirms the theoretical findings.

In , we study the reciprocal effect of blood circulation and high-intensity focused ultrasound on the temperature field in the liver. High-intensity focused ultrasound (HIFU) is used as a thermal ablation process to eliminate tumors in different body's organs. Blood flow has a cooling effect. Conversely, ultrasounds are responsible for acoustic streaming. A three-dimensional acoustics-thermal-fluid coupling model is carried out to compute the temperature field a given hepatic cancerous region.

The use of elaborate closed-loop lumped parameter network (LPN) models of the heart and the circulatory system as boundary conditions for 3D simulations can provide valuable global dynamic information, particularly for patient specific simulations. In , we have developed and tested a numerical method to couple a 3D Navier-Stokes finite-element formulation and a reduced model of the rest of the circulation, keeping the coupling robust but modular. For Neumann boundaries, implicit, semi-implicit, and explicit quasi-Newton formulations are compared within the time-implicit coupling scheme. The requirements for coupling Dirichlet boundary conditions are also discussed and compared to that of the Neumann coupled boundaries. Both these works were key for applications where blood flows in different directions during the cardiac cycle and where coupling with the rest of the circulation is instrumental (see the shunt optimization application ).

Boundary conditions in patient-specific blood flow simulations is key because pressure and flow within the modeled domain are driven by the interplay between the local 3D hemodynamics and the rest of the circulation. However, these boundary conditions are rarely the measured variables. In , we showed how one can go from patient-specific clinical data (MRI and catheterization) to simulation input parameters, including modeling assumptions and the impact of both on simulation results. We explained how Windkessel models and more involved LPN can be calibrated.

A novel Y-shaped baffle was proposed for the Stage 3 Fontan operation achieving overall superior hemodynamic performance compared with traditional designs. Previously, we investigated if and how the inferior vena cava flow (which contains an important biological hepatic factor) could be best distributed among both lungs. In we proposed a multi-step method for patient-specific optimization of such surgeries to study the effects of boundary conditions and geometry on hepatic factor distribution (HFD). The resulting optimal Y-graft geometry largely depended on the patient left/right pulmonary flow split. Unequal branch size and constrained optimization on energy efficiency were explored. Two patient-specific examples showed that optimization-derived Y-grafts effectively improved HFD.

, :We are concerned here with identifiability, stability properties and estimates for the inverse problem of identifying a Robin coefficient on some non accessible part of the boundary from available data on the other part of boundary corresponding to solutions of the Stokes equations. In , we first consider a steady state two-dimensional Stokes problem and study the identifiability of Robin coefficient and then we establish a stability estimate of logarithm type using a global Carleman inequality. We then consider the unsteady problem. In :We prove hölderian and logarithmic stability estimates associated to the unique continuation property for the Stokes system. The proof of these results is based on local Carleman inequalities. In the second part, these estimates on the fluid velocity and on the fluid pressure are applied to solve the inverse problem of identifying a Robin coefficient. For this identification parameter problem, we obtain a logarithmic stability estimate under the assumption that the velocity of a given reference solution stays far from 0 on a part of the boundary where Robin conditions are prescribed.

In , we discuss some numerical properties of the viscous numerical scheme introduced in to solve the one-dimensional pressureless gases system, and study in particular, from a computational viewpoint, its asymptotic behavior when the viscosity parameter

In cancer modeling, to be able to capture the full in-vivo scale, tumors have to be modeled with continuum models. An important step consists in qualitatively and quantitatively comparing agent-based models (which parameters can generally be identified by experiments in vitro) and continuum models. We derived a first 1D continuum model for tumor growth from the cell based model (Drasdo and Hoehme, 2005): it results in a fluid-type model which capture tumor expansion in both diffusive and compact phenotypes. The tumor expands based on the pressure gradient generated by cell proliferation, the latter being hindered by high density or pressure. In this modeled is analyzed mathematically, showing the existence of traveling waves in the different regimes (with or without internal friction and diffusion due to active movement). In particular the incompressible cells limit is very singular and relates to the Hele-Shaw equation. Numerical results confirm the analysis.

Period: 2008-2013.

This project, coordinated by C. Grandmont, aims at studying mathematical and numerical issues raised by the modeling of the lungs.

Period: 2009-2013

This project, coordinated by Jean-Jacques Marigo (LMS-Ecole polytechnique) aims to study Domain decomposition and multi-scale computations of singularities in mechanical structures.

Period: 2012-2016

The aim of this project, coordinated by Miguel Ángel Fernández Varela is to study mathematically and numerically new semi-explicit fluid-structure interaction schemes.

Title: euHeart

Type: COOPERATION (ICT)

Defi: Virtual Physiological Man

Instrument: Integrated Project (IP)

Duration: June 2008 - September 2012

Coordinator: Philips Technologie GmbH Forschungslaboratorien (Germany)

Others partners: Philips Technologie GmbH (DE), The University of Oxford (UK), Universitat Pompeu Fabra (SP), The University of Sheffield (UK), Inria, French National Research Institute in Informatics and Mathematics (FR), King’s College London (UK), Academisch Medisch Centrum bij de Universiteit van Amsterdam (NL), Universität Karlsruhe (TH) (DE), Institut National de la Santé et de la Recherche Médicale, INSERM (FR), Philips Medical Systems Nederland BV (NL), Berlin Heart GmbH (DE), HemoLab BV (NL), Universitätsklinikum Heidelberg (DE), Volcano Europe SA / NV (BE), Hospital Clínico San Carlos de Madrid (SP), Philips Ibérica S.A. (SP)

See also: http://

Abstract: The euHeart project (Ref 224495), is a 4-year integrated European project which aims at developing personalized, and clinically validated multi-physics, multi-level models of the heart and great vessels.

Period: 2008-2014

CARDIO: The aim of this project is to foster the collaboration between the Cardiovascular Biomechanics Research Laboratory (CVBRL) of C.A. Taylor (Stanford University, USA) and colleagues such as Dr. Feinstein, and the project-team REO, through research on cardiovascular and respiratory related topics (boundary conditions for complex flow, patient-specific modeling of congenital heart disease, image-based fluid solid interaction, postprocessing of numerical simulations). The associated team has been extended to other partners: team-project MACS at Inria, the Marsden group at USCD and the Flow physics group at IIT. CA Figueroa is now at KCL, UK.

Period: 2010-2014

This network, funded by the Leducq fondation, is working on the
multi-scale modeling of single ventricle hearts for clinical decision
support

"Systems Biology of Lung Cancer “Dynamic Properties of Early Spread and Therapeutic Options”. In collaboration with Dirk Drasdo EPI Bang, Inria & Paris 6 UPMC

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André Garon, Département Génie Mécanique de l'Ecole Polytechnique de Montréal, 10-18 may, 2012

Michel Delfour, Département de Mathématiques et Statistiques, Université de Montréal, 12-16 may, 2012

C. Alberto Figueroa, KCL, London, UK, Feb 7-8th 2012

Maxim Solovchuk, Taida Institute of Mathematical Sciences, National Taiwan University, 15–30 july, 2012

Chang-Shou Lin, Taida Institute of Mathematical Sciences, National Taiwan University, 22-24 november, 2012

Jessica Oakes, University of California at San Diego, USA, 17-21 december, 2012

Frédéric Jamin, MS student, Imperial College, London, UK, May 15th-Sept 14th 2012

Laurent Boudin

Member of the Board of Mathematics Licence (*EFU de Licence de mathématiques*), UPMC.

Co-organizer of the monthly workgroup “Humaniste” focusing on mathematics applied to humanities, alternatively taking place at UPMC, UP7D and Orléans and jointly handled by LJLL, MAPMO and CAMS.

Miguel Ángel Fernández Varela

Member of the Postdocs Selection Committee, Inria Paris-Rocquencourt, 2012

Jean-Frédéric Gerbeau

Member of the editorial boards of Mathematical Modelling and Numerical Analysis (M2AN), International Journal for Numerical Methods in Biomedical Engineering (IJNMBE), Communications in Applied and Industrial Mathematics.

Service activity at Inria: Délégué Scientifique / Chairman of the project-teams' committee of Inria Paris-Rocquencourt research center; Member of the evaluation committee of Inria

Service activity in Universities: Member of the Mathematics Faculty Concil of University P. & M. Curie Paris 6 (conseil de l'UFR 929); member of the scientific committee of the Faculty of Science, University Versailles Saint-Quentin; member of the Reference Committee of the PhD program Mathematical Models and Methods in Engineering (Politecnico di Milano, Italy);

Céline Grandmont

Member of the CNU 26 (2011–2015)

Elisa Schenone

Co-organizer of the monthly Junior Seminar of Inria Paris-Rocquencourt

Marc Thiriet

President of thematic comittee CT3 (Biomedical Simulation and Applications to Health) of GENCI (Grand Equipement National de Calcul Intensif – National Large Equipement for Intensive Computation)

PRACE peer review staff member (Panel 4 [Biochemistry, Bioinformatics and Life Sciences])

Member of the Mechanical Engineering Evaluation Group of the Canadian Granting Agency NSERC

Member of the Scientific Committee of the PME DiscInNet

Marina Vidrascu

Member of the Postdocs Selection Committee, Inria Paris-Rocquencourt, 2011

Irène Vignon-Clementel

Organizing the monthly seminar at Inria Paris-Rocquencourt on “modeling and scientific computing”

Inria: member of the “Conseil d'orientation scientifique et technologique” (scientific and technologic orientation council) of l'Inria, in the subgroup “GT Actions Incitatives” (incentive action working group), PhD grant committee

Mediator between PhD students and their supervisors for Inria Paris-Rocquencourt

Coordinator of the associated team CARDIO between REO and Prof. Taylor's lab at Stanford University, USA and colleagues both at Inria and in the USA (2008-present)

**Conferences**

Grégory Arbia

Poster, 3rd annual conference on engineering frontiers in pediatric and congenital heart disease, Stanford University, May 2012.

Seminar, Laboratoire de Mathématiques appliquées, Univ. Paris 5, June 2012.

Cristóbal Bertoglio Beltran

Contributed talk at 10th International Symposium Computer Methods in Biomechanics and Biomedical Engineering, April 11- 14th, 2012, Berlin, Germany

Laurent Boudin

Seminar, Mapmo, Univ. Orléans, France, February 2012.

Seminar, ACSIOM, Univ. Montpellier-II, France, March 2012.

Seminar, LAGA, Univ. Paris-Nord, France, March 2012.

Colloquium, MAP5, Univ. Paris-Descartes, France, June 2012.

Contributed talk, HYP'2012, Padova, Italy, June 2012.

Muriel Boulakia

Seminar, Univ. Metz, march 2012

Seminar, Univ. Paris-sud, may 2012

Invited speaker, Workshop Control of fluid-structure systems,Toulouse, june 2012

Invited speaker, Congrès Random Models in Neurosciences, Paris, july 2012

Evaluation talk, AERES evaluation, november 2012

Paul Cazeaux

Seminar, REO team, Inria Paris-Rocquencourt, April 2012

Poster, CANUM 2012, Superbesse, Mai 2012

Contributed talk, ECCOMAS conference, Vienna, Austria, September 2012

Seminar, Homogenization and multiple scales, UPMC Paris 6, November 2012

PhD students Seminar, LJLL, UPMC Paris 6, November 2012

Cesare Corrado

Contributed talk at Bioengineering 2012, Oxford, 6-7 September 2012 ( with J-F. Gerbeau, P. Moireau),

Anne-Claire Egloffe

PASI-CIPPDE 2012, Inverse problems and PDE control. Santiago, Chili, January 2012.

Seminar, University of Besano̧n, May, 2012.

Seminar, Institut Elie Cartan, Nancy, May, 2012.

Miguel Ángel Fernández Varela

Seminar, Basque Country University, March 12, Bilbao, Spain

Seminar, Weierstrass Institute, April 19, Berlin, Germany

Invited talk at minisymposium, CANUM 2012, May 21-25, Superbesse, France

Keynote speaker at minisymposium, ECCOMAS 2012, September 10-14, 2012, Vienna, Austria

Seminar, University of Besano̧n, September, 2012, France

Seminar, University of Granada, October 16, 2012, Spain

Seminar, University of Sevilla, October 17, 2012, Spain

Seminar, University of Zaragoza, October 18, 2012, Spain

Seminar, Polytechnic University of Madrid, October 19, 2012, Spain

Justine Fouchet-Incaux

Contributed talk Rencontres doctorales de l’IMREDD, Institut Mé diterranéen du Risque, de l’Environnement et du Développement Durable, Nice, oct. 2012

PhD students seminar, Orsay, nov. 2012

CEMRACS'12, Marseille, juil. 2012

Jean-Frédéric Gerbeau

Invited conference, Rencontre iDySCo (Institut Dynamique des Systèmes Complexes), Villard de Lans, January 9-10, 2012

Invited conference, Printemps de la cardiologie, Bordeaux, April 12-13, 2012

Invited conference, 1st Usergroup Workshop of the Notocord company, Paris, June 7-8, 2012

Invited conference, CECAM Workshop: Reduced Order Methods for modeling and computational reduction, Switzerland, May 14-16, 2012

Invited minisymposium talk, UK Bioengineering conference, Oxford, September 24-25, 2012

Seminar, Journée Calcul Scientifique et Modélisation Mathématique d’Amiens, 2012

Seminar, Groupe Medisys, Philips, Jan 3, 2012

Céline Grandmont

Invited speaker, Journées MIRES EDP, October 2012

Plenary conference, XIème colloque franco-roumain de mathématiques appliquées, August 2012

Invited speaker, Workshop Control of fluid-structure systems and inverse problems, June 2012

Plenary conference, CANUM 2012, Super Besse, May 2012

Seminar, Lyon, January 2012

Bérenice Grec

Seminar, Applied Mathematics, Univ. Blaise Pascal, March 15, 2012, Clermont-Ferrand, France

Journée Mathématiques et Biologie du PRES Sorbonne Paris Cité, April 5, 2012, Paris, France

Seminar, PDEs, Univ. Strasbourg, June 19, 2012, Strasbourg, France

Sébastien Martin

Poster, Congrès National de Physiologie Pharmacologie et Thérapeutique, Dijon 2012

Seminar, DAMTP: Applied and Computational Analysis, University of Cambridge, UK, 2012

Contributed talk, CANUM 2012, Superbesse, France.

Contributed talk, Softflow 2012: Biological complex fluids, Cargèse, 2012.

Invited talk, Workshop on Complexity in Fluid Mechanics, Vienna, Austria 2012.

Ayman Moussa

Contributed talk at the Spring School on Kinetic Theory and Fluid Mechanics, March 26- 30th 2012 Université Claude Bernard, Lyon.

Workshop on Kinetic Equations, 21th June 2012, ENS Cachan

Elisa Schenone

Poster, CANUM 2012, Superbesse, May 2012

CEMRACS 2012, Cirm-Marseille, 16/07-24/08, 2012

Saverio Smaldone

Contributed talk 10th World Congress on Computational Mechanics (WCCM 2012) 8 -13 July 2012, São Paulo, Brazil

Contributed talk 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012) 10-14 September 2012, University of Vienna, Austria.

Seminar, Inria-Rocquencourt, November 20th, Le Chesnay, France

Marc Thiriet

Plenary Conference, CMMBE 2012, 10th International Symposium on Computer Methods in Biomechanics and Biomedical Engineering, 11–14 april 2012, Berlin, Germany

Contributed talk International Union of Theoretical and Applied Mechanics (IUTAM) Symposium on Particle Methods in Fluid Mechanics, October 15–17, 2012 Lyngby, Denmark (with Chatelin R, Poncet P, Didier A, Murris-Espin M, Anne-Archard D)

Contributed talk 12TH International Symposium on Therapeutic Ultrasound, , 10–13 June, 2012, Heidelberg, Germany, (with Maxim A. Solovchuk, Tony W. H. Sheu)

Marina Vidrascu

Contributed talk 10th World Congress on Computational Mechanics (WCCM 2012) 8 -13 July 2012, São Paulo, Brazil

Invited conference, XIème colloque franco-roumain de mathématiques appliquées, August 2012

Contributed talk 21st International Conference on Domain Decomposition Methods, 25-29 June, Inria Rennes-Bretagne

Seminar, Univ Caen (France)

Irène Vignon-Clementel

Seminar, Mathematical modeling in Medicine workshop, Laboratoire de Mathématique, March 12th 2012, U. Versailles Saint Quentin, France

Invited lecture at the Spring school 2012 on systems biology, March 30th 2012, HelmholzZentrum München, Germany

Contributed talk, 10th International Symposium on Biomechanics and Biomedical Engineering, April 11th-14th, Berlin, Germany

Invited poster, 3rd International Conference on Engineering Frontiers in Pediatric and Congenital Heart Disease, May 1rst-2nd 2012, Stanford University, USA

Invited talk, BIS'2012 workshop, May 22nd, Paris, France

Contributed talk co-authored N. Jagiella and D. Drasdo, SBMC conference, July 9th-11th, Leipzig, Germany

Invited keynote at a minisymposium, ECCOMAS, 10th-14th September, Vienna, Austria [cancelled due to personal reasons]

Invited talk, Cancersys kickoff meeting, PI presentation of Lungsys consortium, October 8th-9th 2012, Heidelberg, Germany

Seminar, Laboratoire Jacques Louis Lions, Paris 6 UPMC, November 19th, 2012, France

DUT :

Justine Fouchet-Incaux Algorithmiques et langages, 36h, IUT d'Orsay, département informatique, Université Paris-Sud

Justine Fouchet-Incaux Mathématiques S2, 25,5h, IUT d'Orsay, département Mesures-Physiques, Université Paris-Sud

Justine Fouchet-Incaux Mathématiques S1, 24h, IUT d'Orsay, département Chimie, Université Paris-Sud

Licence :

Grégory Arbia Algèbre 1: calcul vectoriel, 36h, L1, UPMC.

Grégory Arbia Calcul matriciel numérique, 24h, L3, UPMC.

Laurent Boudin: Series and integrals (15h), L2, UPMC.

Laurent Boudin: Multivariable calculus and multiple integrals (72h), L2, UPMC.

Laurent Boudin: Hilbert analysis (16h), L3, Polytech'Paris.

Paul Cazeaux Algebra 1, vectorial calculus, 72h, L1, UPMC Paris 6

Paul Cazeaux Analysis 1, Functions, 36h, L1, UPMC Paris 6

Anne-Claire Egloffe: Fonctions de plusieurs variables et intégrales multiples, L2, (36 h), UPMC

Anne-Claire Egloffe: Khôlles Séries et intégrales, L2 (20 h), UPMC

Ayman Moussa, Numerical Methods for differential equations (36h), L3, UPMC.

Ayman Moussa, Introduction to Numerical Analysis oral exams, (15h), L3, UPMC.

Miguel A. Fernández Scientific computing, 30h, level L3, École des Ponts ParisTech, France.

Muriel Boulakia Vector calculus (24h), L1, UPMC, France

Muriel Boulakia Linear optimization and convexity (36h), L3, UPMC, France.

Muriel Boulakia Hilbertian analysis (30h), L3, Polytech'Paris, France

Irène Vignon-Clementel Mathematics for biology, 64h ETD, L1 - undergraduate, Univ. de Versailles Saint Quentin

Master :

Laurent Boudin: Numerical analysis (8h), M1, Polytech'Paris.

Laurent Boudin: Basics for numerical methods (32h), M1, UPMC.

Ayman Moussa, Real Analysis (72h), M1, UPMC.

Ayman Moussa, Numerical analysis (38h), M1, Polytech'Paris.

Ayman Moussa, Revision lecture on analysis and linear algebra (50h), M1, AIMS-Sénégal.

Marc Thiriet Biofluid flows, 12 h. M2, UPMC

Miguel A. Fernández Numerical methods in bio-fluids, 6h, level M2, University of Vigo, Spain.

Miguel A. Fernández Inverse problems, 44h, level M1, Ecole Supérieure d'Ingénieurs Léonard de Vinci

Muriel Boulakia Approximation methods for partial differential equations (72h, taught in english), M1, UPMC, France

Muriel Boulakia Preparatory course for teaching admission examination Agrégation (15h), M2, UPMC, France

Irène Vignon-Clementel Modeling Techniques, 24h ETD, M1, Univ de Versailles Saint Quentin.

Irène Vignon-Clementel Different types of model for blood flow simulations, within the course Mathematics modeling for biology, 5h ETD, M1, Ecole Centrale Paris

Apport des mathématiques appliquées (30min) "Diplôme universitaire de Médicine" on percutaneous valvular replacement, May 25th, Paris, France.

Others

Ecole de printemps - Marrakech (LAMAI, FST) : Marc Thiriet Mathématiques & Interactions (6h)

Ecole d'été - Roscoff (ICS, UPMC) : Marc Thiriet Biomathematics & Bioinformatics (12h)

Biomathematical and Biomechanical Modeling and Simulation, Marc Thiriet (L3) Dpts of Mathematics, Computer Sciences, Physics, and Biology, 20h, Tbilisi State University (TSU)

Laurent Boudin Supervisor (for mathematics) of the bidisciplinary computer science / applied mathematics licence program and of the joint program UPMC-Brown on computer science / applied mathematics at the licence level (18h).

Irène Vignon-Clementel Numerical simulations of blood flow, 1h30, as part of the undergraduate continuum mechanics class at AgroParisTech, France

PhD : Cristóbal Bertoglio Beltran, *Forwar and Inverse problems in fluid-structure interaction. Application in hemodynamics*, 23 November 2012. Supervisors: J-F. Gerbeau & M.A. Fernández Varela.

PhD : Paul Cazeaux, *Homogenization and lungs modelling*,12 December 2012 Supervisors: C. Grandmont & Y. Maday

PhD : Anne-Claire Egloffe, *Inverse problems in lungs modelling*, 19 October 2012. Supervisors: C. Grandmont & M. Boulakia.

PhD : Sofiene Hendili, *Structures
élastiques comportant une fine couche
d'hétérogénéités : étude
asymptotique et numérique*, 4 July
2012. Supervisors: F. Krasucki & M. Vidrascu.

PhD in progress : Grégory Arbia, *Multi-scale Modeling of Single Ventricle Hearts for Clinical Decision Support*, since October 2010. Supervisors: J-F. Gerbeau & I. Vignon-Clementel.

PhD in progress : Justine Fouchet-Incaux, *Mathematical and numerical modeling of the human breathing*, since October 2011. Supervisors: C. Grandmont & B. Maury.

PhD in progress :Stéphane Liwarek, *Air flow in
the nasal cavity*, since October 2010. Supervisors: M.A. Fernández & J-F. Gerbeau

PhD in progress : Jimmy Mullaert, *Fluid-structure interaction*, since September 2009. Supervisors: M.A. Fernández & Y. Maday

PhD in progress : Elisa Schenone, *Inverse problems in electrocardiology*, since October 2011. Supervisors: J-F. Gerbeau & M. Boulakia.

PhD in progress : Saverio Smaldone, *Numerical methods for cardiac hemodynamics*, since October 2010, Supervisors: J-F. Gerbeau & M.A. Fernández.

Laurent Boudin

Member of the PhD committees of Phung Thanh-Tam ( University Orléans, July 2012).

Muriel Boulakia

Hiring committees: Univ. Caen, Univ. Versailles, Univ. P. & M. Curie (MCF positions)

Miguel Ángel Fernández Varela

Member of the PhD committees of M. Pozzoli ((referee), Politecnico di Milano, Italy); A. Fumagalli (Politecnico di Milano, Italy), M. Pischiutta (Politecnico di Milano, Italy), V. Vitelli (Politecnico di Milano, Italy) and C. Bertoglio (University Paris VI) and B. Fabrèges (University Orsay Paris-Sud)

Jean-Frédéric Gerbeau

Member of the PhD committees of Alistair Brown (Sheffield university (referee)) , Cristóbal Bertoglio (University Paris VI)

Hiring committees: Univ Montpellier (Professor position), Inria (DR2).

Céline Grandmont

Member of the PhD committees of S. Court ((president of the jury) University Toulouse ); A.-C. Egloffe (University Paris VI) and P. Cazeaux (University Paris VI )

Member of the HDR committees: of O. Saut ((referee) University Bordeaux Univ.); S. Martin (University Orsay Paris-Sud)

Hiring committees: Bordeaux Univ. (President of the hiring committee for an Assistant Professor position in Scientific computing), Bordeaux Univ. (Professor position), Dauphine (Assistant Professor position).

Bérenice Grec

Hiring committee: Univ. Orléans (MCF position)

Sébastien Martin

Hiring committee: École Nationale Supérieure des Arts et Métiers (mechanics).

Marc Thiriet

Member of the selection comittee of HPC projects in the framework of HPC-Europa2 – Pan-European Research Infrastructure for High Performance Computing supported by the European Commission Capacities Area - Research Infrastructures Initiative

Member of the PhD committees of Referee of Bruno Tayllamin ((referee) University Montpellier 2); Edmund G. Lobb, (Aeronautics Dpt., Imperial College of London)

Marina Vidrascu

Member of the PhD committees of Sofiene Hendili (University Montpellier)

Hiring committe: Univ Grenoble (MCF position)

Irène Vignon-Clementel

Member of the PhD committees of: Yiyi Wei (University Lilles); Nick Jagiella (University Paris 6 UPMC)

Hiring committee for assistant professor positions at Grenoble University

Jean-Frédéric Gerbeau

Mediation and popularization of sciences: talk for "Fête de la science" Inria Paris-Rocquencourt

Irène Vignon-Clementel

Journée "Filles et Mathématiques", High-school students, February 2nd & December 12th, 2012, Paris, France