BioMechanics
BioMechanics (BioMECH)
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.
Engineering Science Track
Semester 3
Common core:
Course Title: Research methodology
Description: This course aims to equip master’s students in biomedical engineering with essential skills for conducting rigorous scientific research and generating both applied and fundamental knowledge. Research methodology encompasses a broad array of professional practices applicable across settings, from academic institutions to corporate research environments. It involves competencies in planning and executing research, analyzing data, validating hypotheses, and translating findings into publications and presentations for wide dissemination and application. The course is offered at two levels—basic and advanced. The basic level introduces fundamental statistical tools for quantitative research, emphasizing statistical hypothesis testing, with practical sessions. It also covers core principles of scientific writing and the publication process. The advanced level delves into machine learning, Bayesian approaches, advanced scientific writing, and publication strategies. Students will also develop skills in data visualization, data management, coding standards, and science communication, emphasizing open science and responsible research practices.
Key words: Scientific approaches, statistics, article writing, literature review
Total number of hours: 24 Number of ECTS: 3 Semester 3
Mandatory course ☒ Optional course ☐
Prerequisites/skills needed: An innate curiosity and thirst for science. A solid background in statistics and mathematics is required to join the advanced group on machine learning
Teaching methods and activities: ☒ lectures (CM) ☒ practical sessions (TD) ☒
Location: ENSAM
Course supervisor: Claudio VERGARI (Professor), Pierre-Yves ROHAN (Associate Professor), Samuel BOTTANI (Professor)
Course Title: Anatomy of the Musculo-skeletal System
Description: This course consists of lectures and practical sessions of palpatory anatomy, divided into 5 major anatomical regions: spine, shoulder, elbow and wrist, hip and knee, and foot.
The aim of the course is to provide you with a fundamental understanding of applied human anatomy. In each course, links are made between anatomy and function. During the practical sessions, you will learn to recognize the major structures of each anatomical region through palpation. You will also use anatomy software and an immersive virtual reality device.
Key words: Image processing, Biomedical images, Geometric modeling, 3D shape analysis.
Total number of hours: 24 Number of ECTS: 3 Semester 3
Mandatory course ☒ Optional course ☐
Prerequisites/skills needed: This course requires familiarity with basic mathematics: linear algebra, numerical analysis, analytic geometry, statistics. Engineers are expected to have some basic knowledge in programming with Matlab or Python
Teaching methods and activities: lectures (CM), ☒ practical sessions (TD) ☒, lab sessions (TP) ☒
Location: ENSAM
Course supervisor: Alexandra ROREN (Professor)
Course Title: Linear Finite Element Modeling
Description: This course introduces the finite element method (FEM) for solving structural problems in biomechanics, focusing on the main principles and techniques needed to use FEM effectively. We begin with basics in continuum mechanics, covering concepts like deformation, stress, elasticity, and mechanical equilibrium. The core part of the course explains the displacement-based finite element method, including key methods such as the direct stiffness method, the principle of virtual displacement, and applications to systems like springs and beams. Students will learn how to formulate and calculate isoparametric elements, use numerical integration methods (such as Gauss and Newton-Cotes), and solve static FEM equations using techniques like Gauss elimination and LDLT factorization. The course also addresses errors in modeling and how to evaluate solution accuracy. Through tutorials in MATLAB and ABAQUS, students will practice building and refining FEM models, with a final project on designing a femoral prosthesis. Assessments include quizzes, a report on exercises, and the final prosthesis project. By the end, students will be able to set up FEM models, apply loads and boundary conditions, and improve designs for biomechanical applications.
Key words: Structural Analysis, Continuum Mechanics, Numerical approximation, Principle of Virtual Work, Isoparametric elements
Total number of hours: 24 Number of ECTS: 3 Semester 3
Mandatory course ☒ Optional course ☐
Prerequisites/skills needed: Linear algebra, Analysis (derivation, integration of functions), Partial differential equations, Linear Elasticity
Teaching methods and activities: Lab sessions (TP) ☒ lectures (CM) ☒
Location: ENSAM
Course supervisor: Pierre-Yves ROHAN (Associate Professor)
Two optional courses among the following:
Course Title: Experimental methods in Biomechanics
Description: The aim of this course is to have a precise overview of how to make biomechanics’ experiments considering all the questions 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 – Injury rating – Injury criteria – Traumatology
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 data acquisition
Teaching methods and activities: lab sessions (TP), lectures (CM), practical sessions (TD)
Location: Arts et Métiers
Course supervisor: Baptiste SANDOZ (Associate Professor)
Course Title: Mechanical behavior of biological tissues
Description: This introductory course provides an overview of the mechanical properties and structural characteristics of various biological tissues, including bone, muscle, tendon, ligament, and arterial tissues … Students will gain foundational knowledge about the composition, organization, and function of these tissues, as well as an understanding of the typical ranges for mechanical properties such as Young Modulus, strength, anisotropy, …. The course will also introduce the primary mechanical testing methods used to characterize these properties and the types of stress-strain responses expected from each tissue type. The course includes 12 hours of lectures, during which students will learn the fundamental biomechanical principles and tissue-specific behaviors. Additionally, 6 hours of exercises will allow students to apply theoretical concepts through problem-solving and data analysis related to tissue mechanics. Finally, 6 hours of laboratory work will offer hands-on experience with mechanical testing techniques, enabling students to directly observe and analyze the responses of biological tissues under various loading conditions. By the end of the course, students will have a solid grounding in the mechanical behavior of biological tissues, equipping them for further study in biomechanics and biomedical engineering
Key words: Biological Tissues, Mechanical Behavior
Total number of hours: 24 Number of ECTS: 3 Semester 3
Mandatory course ☐ Optional course ☒
Prerequisites/skills needed: Basics in mechanics
Teaching methods and activities: lab sessions (TP) ☒ lectures (CM) ☒ practical sessions (TD) ☒
Location: ENSAM
Course supervisor: Sébastien LAPORTE (Full Professor)
Course Title: Clinical Aspects and Modeling of Cardiovascular Biomechanics
Description: The main objective of this course is dual. Firstly, the module aims at presenting the stakes and identifying the issues of cardiovascular biomechanics, with a strong focus on clinical aspects. This will include histological and mechanical notions on arteries, their pathologies and their treatments, as well as the main concepts related to both assistance and extracorporeal circulation devices. Secondly, the module aims at providing the students with the means to understand and use common tools used for in-vitro and in-silico studies applied to cardiovascular biomechanics
Key words: Biomechanics, Cardiovascular technologies, System modeling, Arteries and arterial diseases
Total number of hours: 22 Number of ECTS: 3 Semester 3
Mandatory course ☐ Optional course ☒
No prerequisites/skills needed:
This course requires familiarity with basic mathematical notions in analysis: continuous function, basic notions of differentiation and integration; Basic concepts of fluid mechanics are also required: fluid properties, conservation laws. Engineers are expected to have some basic knowledge in programming
Teaching methods and activities: lab sessions (TP) ☒ lectures (CM) ☒ practical sessions (TD) ☒
Location: ENSAM
Course supervisor: Mathieu SPECKLIN (Associate Professor), Farid BAKIR (Full Professor)
Course Title: Osteoarticular repair
Description: This course treats the clinical and scientific challenges as well as the current and future therapies for the reconstruction of osteoarticular and dental tissues. A series of seminars by experts (clinicians, biologists, biomaterials scientists) cover a broad range of aspects dealing with regenerative therapies for bone, dental pulp, ligament, cartilage and vascular tissues. This course is proposed jointly with other master programs in biomaterials and medical sciences.
Key words: bone, cartilage, intervertebral disc, tooth
Total number of hours: 20 Number of ECTS: 3 Semester 3
Mandatory course ☒ Optional course ☐
Prerequisites/skills needed: None
Teaching methods and activities: lab sessions (TP) ☒ lectures (CM) ☒ practical sessions (TD) ☒
Location: ENSAM
Course supervisor: Christelle NGUYEN (Professor)
Course Title: Basics in tissue biology
Description: This course is for scientific students who didn’t receive college-level biology training. The classes provide fundamental knowledge about the basics in molecular, cell and tissue biology. Students will gain a general understanding of cell and tissue composition, interactions, homeostasis and mechanics in normal and diseased contexts, with a focus on the musculoskeletal system. Through a combination of lectures and case studies, students will also learn about the major techniques used in tissue, cell and molecular biology. This course is essential for those pursuing careers in biomedical engineering.
Key words: Image processing, Bio-medical images
Total number of hours: 24 Number of ECTS: 3 Semester 3
Mandatory course ☐ Optional course ☒
No specific prerequisites
Teaching methods and activities: Lectures (CM)
Location: ENSAM
Course supervisor: Julia DANCOURT (Associate Professor)
One subtrack among the following:
- Subtrack “modeling”:
Course Title: Dynamics, Impacts & Mechanical Waves
Description: This course provides a comprehensive introduction to dynamic modeling techniques, with a specific focus on structural analysis in the context of impacts and mechanical wave propagation. Students will learn to apply advanced modeling methods to understand and predict the dynamic behavior of systems, particularly through the lens of biomechanical applications. Key topics include the response of human body structures under dynamic loads, modeling of impacts in sports and transportation contexts, and the interaction of mechanical waves with living tissues. Through 12 hours of lectures, students will develop a theoretical foundation, which will be reinforced with 8 hours of hands-on exercises aimed at strengthening analytical skills. The course also includes 4 hours of practical sessions, where students will have the opportunity to work with real-world data and software tools, bridging theory with application. By the end of the course, students will be equipped with essential skills for research and professional practice in biomechanics, structural dynamics, and related fields.
Key words: Impact, Dynamics, Mechanical waves
Total number of hours: 24 Number of ECTS: 3 Semester 3
Mandatory course ☐ Optional course ☒
Prerequisites/skills needed:
Multibody dynamics, Continuum media mechanics, Analytical calculus.
Teaching methods and activities: lab sessions (TP), lectures (CM), practical sessions (TD)
Location: ENSAM
Course supervisor: Sébastien LAPORTE (Full Professor), Christophe MUTH-SENG (Assistant Professor)
Course Title: Non-linear elasticity for biological tissues
Description: This course provides essential concepts in nonlinear continuum mechanics for modeling the elastic behavior of soft biological tissues, emphasizing their fibrous structure. Theories are introduced to facilitate the modeling and analysis of the unique properties of tissues, such as aortic valve leaflets and buttock soft tissue. Topics covered include finite strain theory and hyperelastic material models, followed by practical ABAQUS exercises to examine the impact of material properties on tissue response under load. Anisotropic material models for aortic valve leaflets will be calibrated using data from ex vivo biaxial tests, while isotropic models for buttock tissue will be calibrated based on in vivo compression tests. Additional sessions focus on recent research into the microstructure of intervertebral disc and skin tissues, employing advanced imaging methods. Assessment consists of an ABAQUS homework assignment, a critical review, practical calibration work, and a final exam.
Key words: Nonlinear Continuum Mechanics Hyperelastic Material Modeling Biomechanical Tissue Characterization
Total number of hours: 24 Number of ECTS: 3 Semester 3
Mandatory course ☒ Optional course ☐
Prerequisites/skills needed: Linear algebra, Analysis (derivation, integration of functions), Partial differential equations, Linear Elasticity
Teaching methods and activities: lab sessions (TP) ☒ lectures (CM) ☒
Location: ENSAM
Course supervisor: Pierre-Yves Rohan (Associate Professor)
Course Title: Non-linear finite element modeling
Description: This course provides an in-depth introduction to nonlinear computational mechanics with a specific focus on biomechanics applications. The course begins by classifying nonlinearities in structures, covering geometric, material, and boundary-condition nonlinearities, and introduces essential stress and strain measures for large deformations. Fundamentals of nonlinear elasticity are then explored, with emphasis on stress-strain relationships, the Principle of Virtual Work, and the use of isoparametric elements and numerical integration to improve finite element accuracy. Incremental solution methods, including Total and Updated Lagrangian formulations, are presented, with applications in modeling hyperelastic materials such as biological soft tissues like muscles. Geometric nonlinearity is examined through examples involving deformation in soft tissues, such as intervertebral discs. Material and contact nonlinearities are modeled using ABAQUS and ANSYS, focusing on contact interactions in complex systems like veins and foam. Stability and buckling analysis is introduced with biomechanical case studies, such as vessel buckling and venous tortuosity. The course emphasizes practical software use, preparing students to simulate nonlinear responses and interpret the results for biomechanical applications. Key learning outcomes include the ability to read and write scientific papers on nonlinear finite element models in biomechanics, and to develop a research program related to finite element modeling in biomechanics.
Key words: non-linear mechanics, finite element analysis, musculoskeletal modeling, biomechanical stability
Total number of hours: 24 Number of ECTS: 3 Semester 3
Mandatory course ☒ Optional course ☐
Prerequisites/skills needed: Linear algebra, Analysis (derivation, integration of functions), Partial differential equations, Linear Elasticity; Linear Finite Element Analysis
Teaching methods and activities: lab sessions (TP), lectures (CM)
Location: ENSAM
Course supervisor: Philippe ROUCH (Full Professor )
- Subtrack “movement”:
Course Title: Movement analysis and locomotion
Description: This teaching unit aims at teaching the material and methods specific to motion analysis with a particular focus on locomotion. It is composed of 6 classes of 4 hours alternating lectures and practical sessions and giving some skills in motion capture and analysis. Based on multibody rigid modeling of the human body, methods to quantify kinematics and mechanical actions in the joints are presented. Classical motion capture systems with and without markers are handled by the students on the technological platform at ENSAM. This teaching unit is part of the itinerary “Movement”. A project by group is included in the teaching unit. Basic programming in matlab and scientific communication are transversal skills acquired in this unit.
Key words: Image processing, Biomedical images, Geometric modeling, 3D shape analysis.
Total number of hours: 24 Number of ECTS: 3 Semester 3
Mandatory course ☒ Optional course ☐
Prerequisites/skills needed: This course requires familiarity with basic mathematics, kinematics of rigid bodies, dynamics of rigid bodies
Teaching methods and activities: lab sessions (TP) ☒ lectures (CM) ☒ other☒ specify: Project
Location: ENSAM
Course supervisor: Helene PILLET (Full Professor)
Course Title: Muscular system modeling
Description: This course 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 course 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 ☒
Prerequisites/skills needed: No prerequisite required.
Teaching methods and activities: lectures (CM) ☒ practical sessions (TD) ☒
Location: ENSAM
Course supervisor: Floren COLLOUD (Professor)
Course Title: Wearables and robotics for health
Description: This course provides a comprehensive understanding of wearable robotics, covering key concepts, research, industry applications, and ethical considerations, with a focus on prosthetics and exoskeletons for upper and lower limbs. Students will explore sensor use, measuring human movement with embedded sensors like IMUs, force, and EMG sensors, and learn real-time data collection and analysis. Hands-on labs emphasize interaction control strategies (impedance, admittance), stiffness, damping, and inertia, using leg prostheses and exoskeletons. Students will implement control strategies, use state machines for adaptive control in different tasks, and engage in a mini-project to design and prototype a wearable assistive device, integrating motor selection, control algorithms, and system integration for practical application.
Key words: Wearable Robotics, Embedded Sensors, Interaction Control, Prosthetics and Exoskeletons, Assistive Device Prototyping
Total number of hours: 24 Number of ECTS: 3 Semester 3
Mandatory course ☒ Optional course ☐
Prerequisites/skills needed: Trigonometry, basic kinematics/dynamics of rigid bodies, basic knowledge of control systems (PID control), and programming skills in high-level languages (Python or MATLAB) and embedded systems (C, Arduino).
Teaching methods and activities: ☒ lectures (CM) ☒ practical sessions (TD) ☒
Location: Sorbonne université – Campus de Jussieu
Course supervisor: Fabien VERITE (Associate Professor), Xavier BONNET (Associate Professor)
- Subtrack “materials”:
Course Title: Fundamentals in Biomaterial Science
Description: The objective of this course is to provide basic knowledge and clinical applications of biomaterials. After general considerations about material specifications for medical applications (biocompatibility and biofunctionality), and associated regulations, lectures focus on the specific properties of different classes of materials, illustrated through clinical examples and applied through a case study: – Metals (mechanical behavior, processing-structure-properties relationships, corrosion) – Polymers (basic principles of polymer science, structure property relationship) – Ceramics (bio-inert, bio-active) – Composites (fiber, particle, clinical applications). Interactions between tissue and biomaterials are further detailed (protein adsorption, blood-material interactions, inflammatory response and the foreign body response, implant-related infections, remote and systemic effects) and a lecture dedicated to tissue engineering present how biomaterials can be combined with cells to restore a damage tissue. Finally, a lecture is dedicated to additive manufacturing and the associated digital chain that grant access to new material properties.
Key words: Biomaterials, biomedical devices, additive manufacturing, tissue engineering
Total number of hours: 25 Number of ECTS: 3 Semester 3
Mandatory course ☒ Optional course ☐
Prerequisites/skills needed: No specific prerequisites
Teaching methods and activities: lectures (CM)
Location: ENSAM
Course supervisor: Aurélie BENOIT (Associate Professor)
Course Title: Non-elastic Behavior of Materials
Description: This curse focuses on the study and understanding of the non-elastic behaviors exhibited by materials under various loading conditions. Students will explore key concepts related to plasticity, viscoelasticity, damage mechanics, rupture and other non-linear behaviors, with an emphasis on applications in biomechanics. Through this course, students will learn to identify and model different types of material responses that deviate from classic elastic theory, as well as how to choose appropriate behaviors based on the needs of specific biomechanical applications, such as tissue modeling or implant design. The course comprises 12 hours of lectures to introduce theoretical fundamentals, 8 hours of guided exercises to apply these concepts to real-world scenarios, and 4 hours of practical lab work where students will conduct experiments and analyze data on non-elastic material behaviors. By the end of this course, students will be able to select and apply suitable material models to address challenges in biomechanics.
Key words: non-elastic behavior, damage, plasticity, viscoelasticity, rupture, buckling
Total number of hours: 24 Number of ECTS: 3 Semester 3
Mandatory course ☐ Optional course ☒
Prerequisites/skills needed: Mechanical behavior of materials, Constitutive equations, Continuum media mechanics, Analytical calculus.
Teaching methods and activities: lab sessions (TP) ☒ lectures (CM) ☒ practical sessions (TD) ☒
Location: ENSAM
Course supervisor: Sébastien LAPORTE (Full Professor)
Course Title: Non-linear elasticity for biological tissues
Description: This course provides essential concepts in nonlinear continuum mechanics for modeling the elastic behavior of soft biological tissues, emphasizing their fibrous structure. Theories are introduced to facilitate the modeling and analysis of the unique properties of tissues, such as aortic valve leaflets and buttock soft tissue. Topics covered include finite strain theory and hyperelastic material models, followed by practical ABAQUS exercises to examine the impact of material properties on tissue response under load. Anisotropic material models for aortic valve leaflets will be calibrated using data from ex vivo biaxial tests, while isotropic models for buttock tissue will be calibrated based on in vivo compression tests. Additional sessions focus on recent research into the microstructure of intervertebral disc and skin tissues, employing advanced imaging methods. Assessment consists of an ABAQUS homework assignment, a critical review, practical calibration work, and a final exam.
Key words: Nonlinear Continuum Mechanics Hyperelastic Material Modeling Biomechanical Tissue Characterization
Total number of hours: 24 Number of ECTS: 3 Semester 3
Mandatory course ☒ Optional course ☐
Prerequisites/skills needed: Linear algebra, Analysis (derivation, integration of functions), Partial differential equations, Linear Elasticity
Teaching methods and activities: lab sessions (TP) ☒ lectures (CM) ☒
Location: ENSAM
Course supervisor: Pierre-Yves Rohan (Associate Professor)
Semester 4
Course Title: Ethical, Industrial and Environmental aspects in biomedical enginnering
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 planning and allocation (time, financial), environmental (management of product lifetime cycle and environmental footprint) and social concerns (ethical work policy and consideration of geopolitical environment), and project management. Several examples including real industrial projects are used to illustrate the course. The course offers theoretical lectures and a group project to apply those concepts
Key words: Industry, regulation, business planning
Total number of hours: 20 Number of ECTS: 3 Semester 4
Mandatory course ☒ Optional course ☐
Prerequisites/skills needed: None
Teaching methods and activities: lectures (CM), practical sessions (TD)
Location: ENSAM
Course supervisor: Guillaume DUBOIS (PRAG), Claudio VERGARI (Professor)
Additional courses can be added to the cursus, either from the BioMECH track or from the other parallel tracks (if the overlap between courses allows it).
Health Science Track
Semester 3
Common core:
Course Title: Mathematics: Basic principles
Description: This course is designed to equip students from the Life Sciences with essential mathematical tools and concepts relevant to Engineering Sciences. The course provides a targeted introduction to fundamental mathematics, enabling students to develop a solid foundation for understanding and applying mathematical methods across other courses in the Life Sciences sub-track. Emphasis is placed on developing practical problem-solving skills and an intuitive understanding of mathematical concepts, allowing students to approach complex scientific questions with confidence. Additionally, this course introduces students to the basics programming skills, providing hands-on experience in computational methods and data analysis relevant to life sciences applications. The course comprises 6 hours of lectures and 12 hours of practical sessions
Key words: Coordinate system, Vector calculus, Matrix calculus, Differential calculus
Total number of hours: 18 Number of ECTS: 3 Semester 3
Mandatory course ☒ Optional course ☐
Prerequisites/skills needed: Basics in mathematics
Teaching methods and activities: lab sessions (TP) ☒ lectures (CM) ☒ practical sessions (TD) ☒
Location: ENSAM
Course supervisor: Sébastien LAPORTE (Full Professor)
Course Title: Statistics
Description: This course provides the students with the basic skills to process experimental data and perform an initial data analysis. We will touch on the basics of statistical analysis and testing (descriptive statistics, hypothesis testing, correlation, evaluation of uncertainty), but also on how to efficiently plot data.
Key words: Statistics, data analysis
Total number of hours: 18 Number of ECTS: 3 Semester 3
Mandatory course ☒ Optional course ☐
Prerequisites/skills needed: None
Teaching methods and activities: lectures (CM) ☒ practical sessions (TD) ☒
Location: ENSAM
Course supervisor: Claudio VERGARI (Full Professor), Pierre-Yves ROHAN (Associate Professor)
Course Title: Mechanical behavior of biological tissues
Description: This introductory course provides an overview of the mechanical properties and structural characteristics of various biological tissues, including bone, muscle, tendon, ligament, and arterial tissues … Students will gain foundational knowledge about the composition, organization, and function of these tissues, as well as an understanding of the typical ranges for mechanical properties such as Young Modulus, strength, anisotropy, …. The course will also introduce the primary mechanical testing methods used to characterize these properties and the types of stress-strain responses expected from each tissue type. The course includes 12 hours of lectures, during which students will learn the fundamental biomechanical principles and tissue-specific behaviors. Additionally, 6 hours of exercises will allow students to apply theoretical concepts through problem-solving and data analysis related to tissue mechanics. Finally, 6 hours of laboratory work will offer hands-on experience with mechanical testing techniques, enabling students to directly observe and analyze the responses of biological tissues under various loading conditions. By the end of the course, students will have a solid grounding in the mechanical behavior of biological tissues, equipping them for further study in biomechanics and biomedical engineering
Key words: Biological Tissues, Mechanical Behavior
Total number of hours: 24 Number of ECTS: 3 Semester 3
Mandatory course ☐ Optional course ☒
Prerequisites/skills needed: Basics in mechanics
Teaching methods and activities: lab sessions (TP) ☒ lectures (CM) ☒ practical sessions (TD) ☒
Location: ENSAM
Course supervisor: Sébastien LAPORTE (Full Professor)
Course Title: Strength of Materials
Description: This teaching unit aims at presenting the basics of solid mechanics applied to biomechanics with dedicated applications to real clinical cases. From the statics and dynamics general principles, we will introduce several notions as strains, stresses, constitutive relations and give all the tools needed to understand the behavior of a structure (tissues, implants, etc..) under a dedicated loading. It is composed of 6 classes of 4 hours alternating lectures and practical sessions. We will see how to model a problem by considering the patient anatomy, its physical activity and its way to load his implant to understand the internal loading within the implant that will help us to size it and to compute its lifespan. Based on strength of material modeling that is a 1D modeling approach, this method will allow to understand and size very easily a lot of applications helping clinicians and engineers to better understand solutions proposed to patients. We will then learn how to design a 3D implant with a CAD software and how to size it in 3D. The results of the 3D modeling will then be compared with the results of the strength of material approach to better understand all its potential.
Key words: strain, stress, constitutive relation, stiffness, sizing, lifespan, clinical cases
Total number of hours: 24 Number of ECTS: 3 Semester 3
Mandatory course ☒ Optional course ☐
Prerequisites/skills needed: This course requires familiarity with basic mathematics, statics and dynamics
Teaching methods and activities: lab sessions (TP) ☒ lectures (CM) ☒ other☒ specify: Project
Location: ENSAM
Course supervisor: Philippe ROUCH (Full Professor)
Course Title: Kinematics
Description: This UE gives the fundamental basis and mathematical concepts useful for the characterization of the kinematics of a point or of a rigid body. It is composed of 10 classes of 2 hours. Based on concrete examples, methods to compute 2D kinematic parameters are presented. Lab sessions are used to initiate the learning followed by formal lecture and practical sessions.
Key words: movement, rigid body modeling
Total number of hours: 20 Number of ECTS: 3 Semester 3
Mandatory course ☒ Optional course ☐
Prerequisites/skills needed: This course requires familiarity with basic mathematics
Teaching methods and activities: lab sessions (TP) ☒ lectures (CM) ☒ practical sessions (TD) ☒ other☒ specify: Project
Location: ENSAM
Course supervisor: Helene PILLET (Full Professor)
Course Title: English
Description: This course introduces students to the skills needed for professional scientific communication in English, focusing on biomechanics and bioengineering topics. It aims to build autonomy in scientific writing and oral presentations. The course includes practical writing tasks, where students create concise scientific texts or develop resumes tailored for research positions. Oral skills are developed through individual presentations on research articles or related topics, emphasizing clarity and technical vocabulary. Students also explore cultural awareness in multicultural research teams, engaging in case studies and discussions to reflect on personal cultural experiences. The course promotes collaboration across cultural perspectives, a critical skill in the international research environment.
Key words: Scientific Communication, Multicultural Collaboration, Technical Writing
Total number of hours: 20 Number of ECTS: 3 Semester 3
Mandatory course ☒ Optional course ☐
No prerequisites/skills needed.
Teaching methods and activities: lab sessions (TP) ☒ lectures (CM) ☒
Location: ENSAM
Course supervisor: Arnaud JEROME (Professeur Agrégé)
Course Title: Gait analysis
Description: This teaching unit aims at teaching the material and methods specific to motion analysis with a particular focus on locomotion. It is composed of classes of 2 or 4 hours alternating lectures and practical sessions and giving some skills in motion capture and analysis. Based on multibody rigid modeling of the human body, methods to quantify 3D kinematics and mechanical actions in the joints are presented. Classical motion capture systems with markers are handled by the students on the technological platform at ENSAM. A project by group is included in the teaching unit. Basic programming in matlab and scientific communication are transversal skills acquired in this unit.
Key words: movement, rigid body modeling, motion capture, locomotion
Total number of hours: 20 Number of ECTS: 3 Semester 3
Mandatory course ☒ Optional course ☐
Prerequisites/skills needed: This course requires the knowledge from the teaching units kinematics and statics
Teaching methods and activities: lab sessions (TP) ☒ lectures (CM) ☒ practical sessions (TD) ☒ other☒ specify: Project
Location: ENSAM
Course supervisor: Helene PILLET (Full Professor)
Two optional courses among the following:
Course Title: Experimental methods in Biomechanics
Description: The aim of this course is to have a precise overview of how to make biomechanics’ experiments considering all the questions 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 – Injury rating – Injury criteria – Traumatolog
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 data acquisition
Teaching methods and activities: lab sessions (TP), lectures (CM), practical sessions (TD)
Location: ENSAM
Course supervisor: Baptiste SANDOZ (associate Professor)
Semester 4
Course Title: Ethical, Industrial and Environmental aspects in biomedical enginnering
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 planning and allocation (time, financial), environmental (management of product lifetime cycle and environmental footprint) and social concerns (ethical work policy and consideration of geopolitical environment), and project management. Several examples including real industrial projects are used to illustrate the course. The course offers theoretical lectures and a group project to apply those concepts
Key words: Industry, regulation, business planning
Total number of hours: 20 Number of ECTS: 3 Semester 4
Mandatory course ☒ Optional course ☐
Prerequisites/skills needed: None
Teaching methods and activities: lectures (CM), practical sessions (TD)
Location: ENSAM
Course supervisor: Guillaume DUBOIS (PRAG), Claudio VERGARI (Professor)