BioMechanics
BioMechanics (BioMECH)
BioMECHANICS – M2
The BioMECHANICS (BioMECH) track offers in-depth expertise and essential tools to understand and tackle biomedical challenges using principles of mechanics. This program integrates recent and upcoming advancements in biomechanics, designed to offer innovative solutions to pressing health issues and respond to industry needs. Through a combination of lectures, team projects, case studies, and invited talks by both academic and industry experts, students gain knowledge in a stimulating, multidisciplinary environment. The BioMECH program emphasizes translational learning, guiding students from foundational science and modeling to clinical application, in close collaboration with clinicians.
BioMECH equips engineers and healthcare professionals with the skills to engage in research and development (R&D) in biomechanics. Students learn to: Address specific biomedical challenges, Conduct innovative, ethical, and rigorous research, Collaborate across fields at the intersection of mechanics, materials, and biomedicine.
Program Structure
A core curriculum provides a comprehensive overview of biomechanics fundamentals and methods. Additionally, students choose one of two specialized tracks: Engineering Science (EngSci) or Health Science (HealthSci).
The HealthSci track offers a part-time, flexible program for clinicians, which can be completed over one or two years. Courses are held in person at ENSAM every Thursday from 9:00 AM to 5:30 PM, beginning in early November. The format is compatible with part-time professional activities, provided students attend classes on Thursdays and allocate sufficient time for experimental research.
Program Overview for Both Tracks
The first semester starts with an integration week composed of:
- A general kickoff meeting that gives a condensed overview of the Master program.
- An individual meeting with one member of the BioMECH pedagogic team.
- 3 orientation days (team building, student organization, outdoor walking rally, Skills workshop, Pitch workshop, Mock interviews)
The courses will then take place on a weekly basis. The students undertake a scientific thinking module and courses to the value of 30 ECTS credits (European Credit Transfer Scale). Student choices need to be approved by their academic tutor.
Engineering Science subtrack
Semester 3 Engineering Science subtrack
Mandatory courses
Course Title: Open Your Mind Seminars
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Course Title: Interdisciplinary week
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Mandatory course ☐ Optional course ☐
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Course Title: Immersion, Methodology and Communication
Description:
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Total number of hours: Number of ECTS: Semester
Mandatory course ☐ Optional course ☐
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Course Title: Anatomy of the Musculo-skeletal System
Description: This course provides basics in functional anatomy focusing on the osteoarticular and muscular systems and their links with the movement. 6 anatomical regions are presented: foot and ankle, hip, knee, spine, elbow and wrist, shoulder. Clinical issues in the orthopaedic field such as prosthetic fitting are also presented.
Key words: Functional anatomy, osteoarticular system, muscles
Total number of hours: 24 Number of ECTS: 3 Semester 3
Mandatory course ☒ Optional course ☐
No prerequisites/skills needed.
Teaching methods and activities: Lectures (CM)
Location: Arts et Métiers
Course supervisor: Philippe WICART (professor)
3 ECTS to be picked among
Course Title: Basics in Continuum Mechanics
Description: This lecture provides basic knowledge about the key-concepts of the basic principles on continuum mechanics and on the mechanical behaviour of mechanical structures. The UE is divided into 6 classes including tutorials and lab work. Class 1: Strains ; Class 2: Stresses and equilibrium ; Class 3: Tutorial in 1st and 2nd class; Class 4: Constitutive law and mechanical tests ; Class 5:Lab work on compression test ; Class 6: Isotropy versus Anisotropy, viscoelasticity, plasticity. Grading takes into account a report on the lab work (30%) and a final exam (70%).
Key words: Material behaviour, mechanical structure, constitutive law, mechanical tests
Total number of hours: 23 Number of ECTS: 3 Semester 3
Mandatory course ☒ Optional course ☐
Prerequisites/skills needed: M1 in physics, chemistry, biology or biomedical sciences or medical science (medicine, pharmacy).
To compute the stress and strain in a mechanical structure. To choose a mechanical law for a given material. To set up a mechanical test and treat the data to identify the parameters of the mechanical law. To critically analyze a scientific article in the field of material behavior.
Teaching methods and activities: lab sessions (TP), lectures (CM), practical sessions (TD)
Location: Arts et Métiers
Course supervisor: Rachele ALLENA (associate professor)
Course Title: Modeling and Simulation in Biomechanics
Description: This lecture provides basic knowledge about the key-concepts of the basic principles of the finite element method (FEM) for the linear analysis of problems arising in Biomechanics. It is composed of 8 classes (in 3 parts) :
– Part 1: Refresher Course in Continuum mechanics (deformation and strain, stress, elasticity, mechanical equilibrium) –
– Part 2: Formulation of the displacement-based finite element method
(a) Introduction to the Direct stiffness method and the Principal of Virtual Displacement. Application to the dynamic analysis of a system of springs and a beam structure.
(b) Formulation of the displacement-based finite element method, Formulation and calculation of isoparametric continuum elements (beam, triangle, hexahedral), Numerical integrations (Gauss, Newton-Cotes formula), Solution of finite element equations in static analysis (Gauss elimination, Static condensation, LDLT-factorization), Discretisation error, convergence curve
(c) Application to the Cook’s membrane problem (Implementation in MATLAB)
– Part 3: Application of the general finite element procedure (from creation of geometric model, generation of finite element mesh, selection of finite element and material model, application of loading and boundary conditions, to interpretation of finite element results) for the LINEAR static analysis and design of a 2D femoral prosthesis using CATIA. Comparison with photoelasticimetric analysis. Design improvement (3D).
Key words: Finite element method, mechanical structure analysis
Total number of hours: 24 Number of ECTS: 3 Semester 3
Mandatory course ☒ Optional course ☐
Prerequisites/skills needed:
Prerequisites:
2nd or 3rd year of engineering school – M1 in physics, chemistry, biology or biomedical sciences or medical science (medicine, pharmacy) Background knowledge in linear algebra (vector spaces and linear systems of equation); in calculus (differention and integration, analytical methods for solving ordinary differential equations)
Skills:
1. Apply the fundamental principles of the finite element method to solve well structured text-book problems (construct matrices needed for the evaluation of the stiffness and mass matrices and compute the solution using basic matrix inversion techniques including Gauss elimination, Static condensation and LDLT-factorization)
2. Apply the general finite element procedure (from creation of geometric model, generation of finite element mesh, selection of finite element and material model, application of loading and boundary conditions, to interpretation of finite element results) in the LINEAR analysis and design of simple biomechanical structures using CATIA
3. Appreciate the importance and complexity of constructing a valid finite element model (stress on model validation)
4. Be aware of and assess the benefits and limitations of using the finite element method in biomechanics
5. Recognize the need for and an ability to engage in life-long learning in engineering analysis using FEA.
Teaching methods and activities: lab sessions (TP), lectures (CM)
Location: Arts et Métiers
Course supervisor: Pierre-Yves ROHAN (associate professor)
3/6 ECTS to be picked among
Course Title: Basics in Tissue and Cell Biology
Description: This lecture is for scientific students who didn’t receive a biological/medical knowledge. The classes provide a fundamental knowledge about the basics in biology. The lecture is composed of 4 parts:
Part 1 – General principles of cell and molecular biology:
– Cell structures and molecular components of the cell (nucleic acids, proteins, lipids, sugars)
– Cell proliferation, differentiation and death
– Regulation of gene expression
– Introduction to cell metabolism
– Interactions between the cell and its environment
Part 2 – Basic techniques of cell and molecular biology:
– Cell biology: – cell culture / – microscopy
– Molecular biology: – computer-assisted sequence-analyses (nucleic acids, proteins) /- extraction and analyses of nucleic acids, proteins and of their interactions /- DNA cloning, mutagenesis, transfection
Part 3 – Mechanical stress and cell signaling in cartilage and intervertebral disc
Part 4 – Cartilage cell biology and bioengineering
Key words: Cell biology
Total number of hours: 24 Number of ECTS: 3 Semester 3
Mandatory course ☒ Optional course ☐
No prerequisites/skills needed.
Teaching methods and activities: Lectures (CM)
Location: Arts et Métiers
Course supervisor: François RANNOU (PU-PH) and Caroline CHAUVET (associate professor)
Course Title: Fundamentals in Biomaterial Science
Description: This lecture provides basic knowledge about the key-concepts that need to be controlled for the design of materials for in vivo biomedical applications. It is composed of 9 classes organized into 3 parts :
Part 1: General overview of the field of materials science and technology for medical applications and basic concepts:
– history and current state of the field of biomaterial R&D.
– concepts of biomaterial, toxicity, biocompatibility and bioactivity.
– brief introduction to immunology
Part 2: Fundamental understanding of the phenomena into play at the interface between materials and a living system. For each phenomenon, we also evoke the current associated scientific and medical challenges and some examples of the strategies to make improved functional biomaterials. These phenomena are:
– protein adsorption
– blood-material interactions
– inflammatory response and the foreign body response
– implant-related infections
– remote and systemic effects
Part 3: A series of introductory lectures by experts focusing on the specificities of the main classes of materials used in biomedical applications
– metals
– ceramics
– polymers
– hydrogels
Key words: Material behaviour, biomaterial
Total number of hours: 24 Number of ECTS: 3 Semester 3
Mandatory course ☒ Optional course ☐
No prerequisites/skills needed:
Prerequisites:
No specific preriquisites – 2nd or 3rd year of engineering school or M1 in physics, chemistry, biology or biomedical sciences or medical science (medicine, pharmacy)
Skills:
Knowledge about development and clinical use of biomaterial
Knowlegde about the biologic reactions in case of implanted material
Knowledge of the technics for caracterisation and process of biomaterials
Analysis of scientific and technical issues in the biomaterial developement field
Advanced practice of scientific English
Teaching methods and activities: Lectures (CM)
Location: Arts et Métiers
Course supervisor: Laurent CORTE (professor)
12/15 ECTS to be picked among
Course Title: Mechanical behaviour of biological tissues
Description: This teaching unit provides a general knowledge on the mechanical behaviour of biological tissues. it is organized as follows:
– 2 classes on general introduction to recall the main mechanical principles (i.e. stress and strain, linear and non linear elasticity, hyperelasticity, viscoelasticity)
– 3 classes on specific biological tissues (i.e. bone, muscle and tendon, veins) given by external researchers
– 1 class with a practical work
The final grade is given by a written exam and the report on the practical work.
Key words: Biological tissue, mechanical characterization, constitutive laws
Total number of hours: 24 Number of ECTS: 3 Semester 3
Mandatory course ☐ Optional course ☒
Prerequisites/skills needed:
Prerequisites
Basics in mechanics (stress, strains)
2nd or 3rd year of engineering school with a formation in material science and mechanics.
Skills
Knowledge of the mechanical behaviour of biological tissues
Knowledge of experimental technics used for the study of mechanical behavior of biological tissues.
Use of appropriate equipments for the study of mechanical behavior of biological tissues.
Advanced practice of scientific english
Teaching methods and activities: lab sessions (TP), lectures (CM)
Location: Arts et Métiers Institute of Technology
Course supervisor: Rachele ALLENA (associate professor)
Course Title: Dynamics, Impacts & Mechanical Waves
Description: The objective of this course is to train students in the methods and tools needed for dynamic modeling of structures, in order to apply them in the field of impacts and of the propagation of mechanical waves. These aspects will be developed from the point of view of biomechanical modeling of human bodies in dynamic situations (Sport, Transport, Dynamic behavior of living tissues …). The course is divided into 12 hours of lectures, 8 hours of exercises and 4 hours of practical work.
Key words: Dynamics, vibrations
Total number of hours: 24 Number of ECTS: 3 Semester 3
Mandatory course ☐ Optional course ☒
Prerequisites/skills needed:
Prerequisites:
Solid mechanics
Continuum media mechanics
Skills:
To be able to analyze biomechanics problems involving dynamic aspects
Teaching methods and activities: Lab sessions (TP), lectures (CM), practical sessions (TD)
Location:
Course supervisor: Sébastien LAPORTE (professor)
Course Title: Experimental methods in Biomechanics
Description: The aim of this course is to have a precise overview of how to make impact biomechanics experiments with all the issues due to ethics considerations, sensor uses, experimental environment and specific measurements. The following topics are studied:
– Sensors
– Accelerometers theory
– Kinematics using accelerometers
– Health and safety for PMHS (Post Mortem Human Subject) testing
– General points about experiment
– Injury rating
– Head and lower limbs injury criteria
– Impact dummies
Key words: Experimental procedure, in vivo functional explorations, sensors, ethics
Total number of hours: 24 Number of ECTS: 3 Semester 3
Mandatory course ☐ Optional course ☒
Prerequisites/skills needed: Knowledge about sensors, knowledge about data acquisition, ethical rules
Teaching methods and activities: Lab sessions (TP), lectures (CM), practical sessions (TD)
Location:
Course supervisor: Baptiste SANDOZ (associate professor)
Course Title: Non-linear aspects for the musculoskeletal modeling
Description: In this lecture the aim is deepening knowledge in biomechanical and non linear finite element modelling of musculoskeletal structures modelling and finite element method. Students with a mechanichal engineering background should get able:
– to master the process of biomechanical modelling and theoretical basis of non linearities in finite element method
– to perceive both the interest of the method with its potential impact on clinical issues, and its limitations inducing a need for vigilance regarding models evaluation and their clinical relevance
– to understand practical aspects as regards building models, feeding them with relevant data and validating them in given conditions of use, as well as aspects in relation to subject specific modelling and in vivo model evaluation.
– to understand both theoretical and practical aspects of scientific publications in the field, with a good understanding of interest, limitations and clinical relevance
– to participate effectively in the design and realisation of research projects involving modelling approaches and associated model evaluation.
This course has three components
1: Biomechanical modelling and non linearities in the finite element method.
2: Biomechanical models construction and evaluation, issues and challenges in relation with subject specific modelling and their experimental evaluation for clinical issues
3: Conferences and inverted courses allowing practical situations handling and vision broadening:
– Practical situation of model building to face a concrete clinical and industrial issue, to think about the necessary compromize between model simplicity- numerical cost vs clinical relevance.
– Students lectures and exchanges: through litterature review, presentation of various approaches for different musculosqueletal models.
– Education conferences on research issues and recent advances regarding subject specific models in clinical biomechanics.
Total number of hours: 31.5 Number of ECTS: 3 Semester 3
Mandatory course ☐ Optional course ☒
Prerequisites/skills needed: Basic knowledge of mechanics of deformable structures and finite element modeling
M1 or equivalent in mechanical engineering or engineering sciences
Teaching methods and activities: lab session (TP/TD), lectures (CM)
Location: Arts et Métiers Institute of Technology
Course supervisor: Wafa SKALLI (professor)
Course Title: Medical Imaging and geometrical modeling
Description: This lecture provides basic knowledge about the key-concepts of the physical principles of medical imaging and image processing. Although a large proportion of the course covers the physical principles of imaging modalities, the emphasis is laid on how these techniques can be used for geometrical modelling in the framework of Osteoarticular Biomechanics. It is composed of 7 classes organized into 2 parts:
Part 1: General overview of how medical images are obtained. The most important imaging modalities today are discussed: radiography, biplanar-X-ray radiography, computed tomography, magnetic resonance imaging and ultrasonic imaging. Each chapter includes (1) a short history of the imaging modality, (2) the theory of the physics of the signal and its interaction with tissue, (3) the image formation or reconstruction process, (4) a discussion of the image quality, (5) the different types of equipment in use today, (6) examples of the clinical use of the modality, (7) a brief description of the biologic effects and safety issues, and (8) some future expectations
Part 2: General overview of image processing and geometrical modelling. The topics covered are: (i) Introduction to image processing, (ii) segmentation and linear filtering and (iii) Geometric transformation (interpolation).
Key words: Imaging, geometrical modeling
Total number of hours: 21 Number of ECTS: 3 Semester 3
Mandatory course ☐ Optional course ☒
Prerequisites/skills needed: 2nd or 3rd year of engineering school or M1 in physics, chemistry, biology or biomedical sciences or medical science (medicine, pharmacy), knowledge of clinical imaging modalities, image processing to generate geometrical model for mechanical simulation, advanced practice of scientific English
Teaching methods and activities: lectures (CM)
Location: Arts et Métiers Institute of Technology
Course supervisor: Laurent GAJNY (associate professor)
Course Title: Movement analysis and locomotion
Description: This UE gives some fundamental knowledges on the concept of modelling the human body as an articulated rigid body chain for kinematic and dynamic analysis of the motion. Students are separated in 3 groups according to their initial level evaluated through a written test. The addressed notions are the same in the 3 groups but the deepening and the autonomy in the handling of the concepts are adapted according to the group. It is composed of 6 classes of 4 hours alternating lectures and practical session and giving some skills in motion capture and analysis :
– Mathematical reminders
– General presentation of motion analysis + evaluation
– Method of determination of the position of a rigid body (a vertebra)
– Notion and determination of anatomical frames and inverse dynamics
– Clinical cases of motion analysis (cervical spine kinematics )
– Kinematic analysis of a squat motion from experimental data.
Key words: Motion capture, 3D kinematics, anatomical interpretation, inverse dynamics
Total number of hours: 24 Number of ECTS: 3 Semester 3
Mandatory course ☐ Optional course ☒
Prerequisites/skills needed: Basics in kinematics, basics in linear algebra and geometry
Teaching methods and activities: Lab sessions (TP), lectures (CM)
Location: Arts et Métiers Institute of Technology
Course supervisor: Hélène PILLET (associate professor)
Course Title: Muscular system modeling
Description: This lecture provides student with basic knowledge on physiology and biomechanics of the skeletal muscle with the aim of modeling and simulating the mechanical behavior of the skeletal muscle in vivo. This knowledge is needed to understand and to analyze the human motion as well as to quantify the stress applied on bones and articular surfaces. To initiate students to this important biomechanics field, this lecture is composed of 4 parts:
– Physiology of muscle contraction (composition and architecture of the skeletal muscle, mechanics of the muscle contraction, muscle activation)
– Mechanical behavior of skeletal muscles (passive and active mechanical behavior of the skeletal muscle)
– Mechanical modeling of skeletal muscles (mechanical models of the skeletal muscle)
– Introduction to musculoskeletal modeling
This lecture relies on various tutorial and practical sessions leading student to initiate a modeling process and to perform simulations and experimentations? The experimental equipment is present on the ENSAM site and also partly used in the lecture on Movement Analysis.
Key words: Muscles, mechanical behaviour of muscular tissue, musculoskeletal modeling
Total number of hours: 24 Number of ECTS: 3 Semester 3
Mandatory course ☒ Optional course ☐
No prerequisites/skills needed.
Teaching methods and activities: Lectures (CM), practical sessions (TD)
Location: Arts et Métiers Institute of Technology
Course supervisor: Christophe SAURET (associate professor)
Course Title: Mechanics of complex materials and modeling
Description: The aim of this UE is to study the behavior of complex materials, more particularly biological soft tissues and organs, whose complex architecture give them a very specific behavior (such as anisotropic hyperelasticty). Classical experimental techniques are generally not relevant or unsatisfying for these kinds of materials. We will focus in particular on dedicated experimental methods that have to be setup in order to characterize these kinds of behaviors.
Main concept addressed:
– anisotropic hyperelasticity
– orientation of collagen fibers
– experimental observation methods (mechanical tests – biaxial tensile test …
– digital image correlation, confocal microscopy, …)
– how to transcribe experimental observations into simulation data
– constitutive equations
– fluid-structure interactions
Applications: Cardiovascular tissues, skin, …
Key words: Complex tissues, mechanical behaviour, constitutive law
Total number of hours: 27 Number of ECTS: 3 Semester 3
Mandatory course ☐ Optional course ☒
Prerequisites/skills needed:
Prerequisites:
UE 3.3
Experimental characterization techniques
Constitutive equations
Skills
To choose a behavior law adapted to complex material
To know experimental tools to characterize constitutive law To model the behavior of complex tissues
Teaching methods and activities: Lab sessions (TP), lectures (CM), practical sessions (TD)
Location: Arts et Métiers Institute of Technology
Course supervisor: Yannick TILLIER (professor)
Course Title: An introduction to Virtual Reality and Augmented Reality in the biomedical field
Description: This UE aims at introducing students to virtual reality (VR) and augmented reality (AR) as well as showing the numerous possible applications of these technologies in the biomedical field. Introductory lectures will explain the various technologies used nowadays, their advantages and limitations. These lectures will be complemented by demos (TD) and by practical workshops on the programming of basic VR applications (TP) that will allow student to familiarize with VR and AR. Students will also have to complete a bibliographic project about an application of VR or AR based on the available literature and the knowledge acquired in visiting in scientific laboratories and private companies.
The approached fields will be: 1) Applications of VR to the study of multi-sensory integration, motor control and body scheme plasticity, 2) VR application in the medical field (neurological rehabilitation, cognitive remediation, treatment of phobias and tinnitus, professional training), 3) VR and human body biomechanics, 4) AR applications in the medical field and in surgery for teaching, training and clinical purposes, 5) AR and ergonomics.
Key words: Virtual Reality, Augmented Reality, Neuroscience, Biomechanics, Ergonomics
Total number of hours: 24 Number of ECTS: 3 Semester 3
Mandatory course ☐ Optional course ☒
No prerequisites/skills needed.
Teaching methods and activities: Lab sessions (TP), lectures (CM), practical session (TD)
Location: université paris cité, Campus Saint-Germain-des-Prés
Course supervisor: Michele TAGLIABUE (research engineer)
Course Title: Mastering Virtual reality and Augmented Reality
Description: This UE aims at deepening the knowledge acquired in the UE “An introduction to Virtual reality and Augmented Reality in the biomedical field”. New topics will be addressed: 1) Creation and use of virtual environments to investigate human behaviour (memory, navigation, executive control), 2) Mixed Reality, 3) Real-time interactions with the environment 4) Virtual reality, augmented reality, mixed reality and handicap, 5) Potential and limitations of these techniques
Students will follow introductory lectures, but mainly perform practical work on applications of these technologies to the biomedical field. They will learn to create simple virtual environment using the UNITY 3D programming software, to create and manipulate avatars and to program augmented reality and mixed reality applications for Microsoft Hololens or similar devices. Students will be asked to work individually or in couple on two small projects, in which they will apply Virtual or Augmented Reality technologies in the biomedical field.
Key words: Virtual reality, Augmented reality, Mixed reality, Programming, Unity 3D
Total number of hours: 24 Number of ECTS: 3 Semester 3
Mandatory course ☐ Optional course ☒
Prerequisites/skills needed: Attend the UE “An introduction to Virtual reality and Augmented Reality in the biomedical field”
Teaching methods and activities: Lab sessions (TP), lectures (CM), practical sessions (TD), other: personal and team projects
Location: université paris cité, Campus Saint-Germain-des-Prés
Course supervisor: Michele TAGLIABUE (research engineer)
One course (3 or 6 ECTS) in another Master (subject to Master chairs’ authorizations)
Optional course
Course Title: Risk management
Description: The purpose of this course is to give the students an introduction to risk management through the lens of decision analysis: it adopts a broader standpoint on risk management than its usual purely managerial instrumental view. As any decision entails uncertainties, this course aims at showing that the world is not deterministic, that we are ill-equipped to deal with it and that it is possible to overcome the many biases that we face when making decisions through a better approach of these decisions. Ultimately, the goal of this course is to enable the students to make better decisions in their future career, in their research endeavors and in their private lives.
This course is supported by software tools provided by the instructor and is evaluated through a group project; the deliverable takes the shape of a poster presented during a special session.
The course is organized as follows:
– Session 1: Introduction (decision models; influence diagrams/decision trees)
– Sessions 2-3: Subjective probability
– Sessions 4-6: Utility theory Session
– 7: Project kick-off Session
– 8: Poster session
Key words: Decision, risk, probabilities
Total number of hours: 24 Number of ECTS: 3 Semester 3
Mandatory course ☐ Optional course ☒
No prerequisites/skills needed.
Teaching methods and activities: Lectures (CM)
Location: Arts et Métiers
Course supervisor: Marc LASSAGNE (associate professor)
Semester 4 Engineering Science subtrack
Mandatory courses
Course Title: Industrial aspects of BioMedical Engineering
Description: This UE aims at giving an introduction to the economical and industrial aspects of biomedical engineering. Based on current main regulations and standards, it addresses questions such as regulatory registration, certification, intellectual property, resources (time, financial) and project management. Several examples including real industrial projects are used to illustrate the course.
Key words: Industrial and economical aspects, norm, medical device
Total number of hours: 20 Number of ECTS: 2 Semester 4
Mandatory course ☐ Optional course ☒
Prerequisites/skills needed: Be able to understand industrial constraints, knowledge of regulation rules and norms for medical devices
Team working
Teaching methods and activities:
Location:
Course supervisor:
Course Title: Research Internship
Description:
Key words:
Total number of hours: Number of ECTS: Semester
Mandatory course ☐ Optional course ☐
Prerequisites/skills needed:
Teaching methods and activities:
Location:
Course supervisor:
NB. No schedule or syllabus will be provided before the kick-off meeting. You must know that it is a full-time program though.
As far as the non mandatory courses are concerned, the students’ choices will have to be discussed with the track chairs and will be finalized during the interdisciplinary week, taking the student’s personal background and interests into consideration. It will then be validated in a co-signed contract of study.
The courses students will eventually attend will also depend on actual availability: some courses might not open because of an insufficient number of attendees, while others may have a limited capacity and not be able to offer a seat to all.
As indicated, a course may be offered to BME Paris students outside the track which supports it. In such cases, priority will be given to students enrolled in the supporting track.
Students enrolled in other Arts et Métiers, Université Paris Cité or Université PSL programs may also attend a BME Paris course, provided that:
- their respective program chairs support their application
- the course is not already full
- the relevant BME Paris chairs accept their applications which must include a CV and a motivation letter
Health Science subtrack
NB. No schedule or syllabus will be provided before the kick-off meeting. You must know that it is a full-time program though.
Semester 3 Health Science subtrack
Mandatory courses
Course Title: Open Your Mind Seminars
Description:
Key words:
Total number of hours: Number of ECTS: Semester
Mandatory course ☐ Optional course ☐
Prerequisites/skills needed:
Teaching methods and activities:
Location:
Course supervisor:
Course Title: Interdisciplinary week
Description:
Key words:
Total number of hours: Number of ECTS: Semester
Mandatory course ☐ Optional course ☐
Prerequisites/skills needed:
Teaching methods and activities:
Location:
Course supervisor:
Course Title: Immersion, Methodology and Communication
Description:
Key words:
Total number of hours: Number of ECTS: Semester
Mandatory course ☐ Optional course ☐
Prerequisites/skills needed:
Teaching methods and activities:
Location:
Course supervisor:
Course Title: Research Methodology
Description: The objective of this course is to train students from the Life Sciences to the necessary mathematical tools in Engineering Sciences.
This teaching must provide the necessary mathematical prerequisites for a good understanding of the other lessons of the « Life Sciences » sub-track.
The course is divided into 8 hours of lectures and 10 hours of practical work with MATLAB.
Key words: Geometry, linear algebra, matlab basis
Total number of hours: 20 Number of ECTS: 3 Semester 3
Mandatory course ☒ Optional course ☐
Prerequisites/skills needed: Basics in mathematics, to know how to use the mathematical tools of engineers, to know how to use a scientific computing software
Teaching methods and activities: Lab sessions (TP), lectures (CM)
Location: Arts et Métiers
Course supervisor: Sébastien LAPORTE (professor)
Course Title: Statics of Rigid Bodies
Description: The objective of this teaching is to train the students of the Life Sciences to the tools necessary to the modeling of the mechanical actions as well as to the study of the static equilibrium of the indeformable solids.
This course is necessary for the understanding of other notions of mechanics approached in the « Life Sciences » sub-track: Strength of materials, Mechanical behavior of materials …
The course is devided into 8 hours of lectures and 10 hours of exercises, and relies on examples of biomechanical modeling of the human body.
Program:
0. What is the statics of solids?
1. Mechanical joints between solids and transmissible forces.
2. Kinematic diagram and solids link graph.
3. Fundamental Principle of Statics.
4. Sliding and tilting.
Key words: Static computation, mechanical action modelling, wrenches
Total number of hours: 20 Number of ECTS: 3 Semester 3
Mandatory course ☒ Optional course ☐
Prerequisites/skills needed: Mathematical Tools for Engineering Science
Skills
To be able to apply the tools of the statics of solids to solve simplify problems of biomechanicse
Teaching methods and activities: Lectures (CM), practical sessions (TD)
Location:
Course supervisor: Sébastien LAPORTE (professor)
Course Title: Kinematics of Rigid Bodies
Description: This UE gives the fundamental basis and mathematical concepts useful for the characterisation of the kinematics of a point or of a rigid body. It is composed of 7 classes.
Course 1 : Derivation and kinematics of the point
Course 2 : Velocity of a point in a circular movement
Course 3 : Calculation of the velocity of a point from experimental data
Course 4 : Solid kinematics : translation and rotation around a fixed axis
Course 5 : Rotation around a fixed axis
Course 6 : Plane motion- graphical kinematics
Course 7 : Composition of velocities
Key words: 2D kinematics, rotation, translation, graphical kinematics, velocity, acceleration
Total number of hours: 21 Number of ECTS: 3 Semester 3
Mandatory course ☒ Optional course ☐
Prerequisites/skills needed:
Prerequisites
Basics of mathematics: trigonometry, vector calculation
Skills To be able to apply the tools of the kinematics of points and of solids to solve simplify problems of biomechanics
Teaching methods and activities: Lectures (CM), practical sessions (TD)
Location:
Course supervisor: Hélène PILLET (associate professor)
Course Title: Research Project Health Science – Part 1
Description:
Key words:
Total number of hours: Number of ECTS: 15 Semester 3
Mandatory course ☐ Optional course ☐
Prerequisites/skills needed:
Teaching methods and activities:
Location:
Course supervisor:
Semester 4 Health Science subtrack
Mandatory courses
Course Title: Strength of materials
Description: This lecture introduces the :
– strain tensor
– stress tensor
– constitutive relation
This 3D modeling is then declined to be applied via the beam theory. Clinical applications are given to understand implants failure.
Key words: Beam theory, stress, strain, mechanical design
Total number of hours: 24 Number of ECTS: 3 Semester 4
Mandatory course ☒ Optional course ☐
Prerequisites/skills needed:
Prerequisites:
Static
Dynamic
Kinematic
Matrix calculation
Derivation and integration
Skills:
Knowledge of the mechanics of continuous media
Knowledge of beam theory
Know how to model a biomechanical problem
Teaching methods and activities: Lectures (CM)
Location: Arts et Métiers
Course supervisor: Philippe ROUCH (professor)
Course Title: Biomechanical modeling and finite element
Description: This lecture provides basic knowledge in biomechanical modeling and finite element method (FEM), aiming at empowering clinical students (or students with other lifescience backgrounds) so that they get able to:
– understand the process of biomechanical modeling and theoretical basis of FEM
– perceive both the interest of the method with its potential impact on clinical issues, and its limitations (vigilance regarding models evaluation and their clinical relevance)
– understand practical aspects as regards building models, feeding them with relevant data and validating them in given conditions of use, as well as aspects in relation to subject specific modeling and in vivo model evaluation.
– tread scientific publications in the field, with a general understanding of interest, limitations and clinical relevance
– participate effectively in the design of research projects involving modeling approaches and associated experimental approaches for model evaluation.
This course has three components
1: Basis of biomechanical modeling approach and presentation of the finite element method.
2: Biomechanical models construction and evaluation, issues and challenges in relation with subject specific modeling and their in vivo evaluation for clinical issues
3: Conferences and inverted courses allowing practical situations handling and vision broadening
Key words: Linear finite element modelling, tissue and structure characterization
Total number of hours: 21 Number of ECTS: 3 Semester 4
Mandatory course ☒ Optional course ☐
Prerequisites/skills needed: Knowledge of clinical use of biomechanical models and their development, interests and limits.
Basics finite element modeling – Knowledge in the technics of tissues and structures characterization in vivo and in vitro
Analysis of technical and scientific issues in the field of biomechanical modeling and validation.
Advanced practice of scientific english and knowledge of the specific literature in the field
Teaching methods and activities: Lectures (CM)
Location: Arts et Métiers
Course supervisor: Wafa SKALLI (professor)
Course Title: Kinematic and dynamic movement analysis
Description: This UE provides knowledge related to the quantification of human motion from the quantification of the kinematics and dynamics of a poly articulated system.
Two parts are discussed:
I: Three-dimensional kinematic analysis
– Definition of matrix tools and presentation of experimental means
– Influence and interpretation of kinematics from fixed and moving axis sequences
– Application to joint kinematics
II: Dynamic analysis
– Application of the fundamental principle of dynamics to the multi-body system
– Inverse dynamics
– Application to gait
Key words: 3D kinematics, motion capture, anatomical interpretation, rigid body modeling
Total number of hours: 24 Number of ECTS: 3 Semester 4
Mandatory course ☒ Optional course ☐
Prerequisites/skills needed:
Prerequisites:
Mathématique et statique (CBM, Biomech)
Skills:
Knowledge of three-dimensional kinematics
Knowledge of Rigid Solid Dynamics and Solid Systems
Knowledge and Application for Human Movement Analysis
Teaching methods and activities: Lectures (CM), practical sessions (TD)
Location: Arts et Métiers
Course supervisor: Wafa SKALLI (professor)
Course Title: Material and Structure mechanical behavior
Description: This UE provides knowledge related to the quantification of human motion from the quantification of the kinematics and dynamics of a poly articulated system.
Two parts are discussed:
I: Three-dimensional kinematic analysis
– Definition of matrix tools and presentation of experimental means
– Influence and interpretation of kinematics from fixed and moving axis sequences
– Application to joint kinematics
II: Dynamic analysis
– Application of the fundamental principle of dynamics to the multi-body system
– Inverse dynamics
– Application to gait
Key words: 3D kinematics, motion capture, anatomical interpretation, rigid body modeling
Total number of hours: 24 Number of ECTS: 3 Semester 4
Mandatory course ☒ Optional course ☐
Prerequisites/skills needed:
Prerequisites:
Mathématique et statique (CBM, Biomech)
Skills:
Knowledge of three-dimensional kinematics
Knowledge of Rigid Solid Dynamics and Solid Systems
Knowledge and Application for Human Movement Analysis
Teaching methods and activities: Lectures (CM), practical sessions (TD)
Location: Arts et Métiers
Course supervisor: Wafa SKALLI (professor)
Course Title: Industrial aspects of BioMedical Engineering
Description: This UE aims at giving an introduction to the economical and industrial aspects of biomedical engineering. Based on current main regulations and standards, it addresses questions such as regulatory registration, certification, intellectual property, resources (time, financial) and project management. Several examples including real industrial projects are used to illustrate the course.
Key words: Industrial and economical aspects, norm, medical device
Total number of hours: 20 Number of ECTS: 2 Semester 4
Mandatory course ☐ Optional course ☒
Prerequisites/skills needed: Be able to understand industrial constraints, knowledge of regulation rules and norms for medical devices
Team working
Teaching methods and activities:
Location:
Course supervisor:
Course Title: Research Project Health Science – Part 2
Description:
Key words:
Total number of hours: Number of ECTS: 15 Semester 3
Mandatory course ☐ Optional course ☐
Prerequisites/skills needed:
Teaching methods and activities:
Location:
Course supervisor: