Job offer

European Commission; France; Sur place; EUR 40 000 - 60 000; Plein temps

Résumé du poste

L'institut de recherche Inria offre une opportunité pour un doctorat en mathématiques appliquées, avec un projet dédié à la modélisation de l'insertion d'implants dans la chirurgie orthopédique. Le candidat retenu travaillera sur des modèles mathématiques dynamiques, participant à des recherches cruciales en appliquant des méthodes numériques avancées.

Prestations

Remboursement partiel des frais de transport

7 semaines de congés annuels + 10 jours supplémentaires

Possibilité de télétravail après 6 mois

Équipement professionnel disponible

Accès à des événements culturels et sportifs

Formation professionnelle accessible

Contribution à l'assurance mutuelle

Qualifications

• Connaissances en modélisation et en mathématiques appliquées.
• Expérience avec les équations différentielles partielles souhaitée.
• Engagement pour des recherches appliquées dans le domaine de la santé.

Responsabilités

• Investigation de modèles dynamiques pour les implants médicaux.
• Application de méthodes numériques pour résoudre des problèmes de contact.
• Revue bibliographique et développement de modèles mathématiques.

Connaissances

Méthodes numériques

Modélisation en mathématiques appliquées

Résolution de problèmes inverses

Techniques de réduction d'ordre de modèle

Formation

Diplôme en mathématiques appliquées ou domaine similaire

Description du poste

Inria, the French national research institute for the digital sciences

Organisation/Company Inria, the French national research institute for the digital sciences Research Field Computer science Mathematics Researcher Profile First Stage Researcher (R1) Country France Application Deadline 31 Aug 2025 - 00:00 (UTC) Type of Contract Temporary Job Status Full-time Hours Per Week 38.5 Offer Starting Date 1 Oct 2025 Is the job funded through the EU Research Framework Programme? Not funded by a EU programme Reference Number 2025-08945 Is the Job related to staff position within a Research Infrastructure? No

Offer Description

The funding of this PhD thesis is granted by the ANR project “MoDyBe” (Modeling the Dynamic Behavior of implants used in total hip arthroplasty), which also involves the Multiscale modeling and simulation laboratory (CNRS, Paris-Est Créteil University), together with clinical partners from the department of orthopaedic (Henri Mondor hospital).

Description of the project:

Cementless implants are increasingly used in clinical practice. They are inserted in the host bone using impacts performed with an orthopaedic hammer (press-fit procedure). However, the rate of revision surgery is still high, which is a public health issue of major importance.
The press-fit phenomenon occurring at implant insertion induces biomechanical effects in the bone tissues, which should ensure implant primary stability (that is, the stability of the implant during the surgery). Despite a routine clinical use, implant failures, which may have dramatic consequences, still occur and are difficult to anticipate.
Just after surgery, the implant fixation relies on the pre-stressed state of bone tissue around the implant. In order to avoid aseptic loosening, a compromise must be found by the surgeon. On the one hand, sufficient primary stability can be ensured by minimizing micromotion at the bone-implant interface in order to promote osteointegration phenomena. On the other hand, excessive stresses in bone tissue around the implant must be avoided, as they may lead to bone necrosis or fractures.
This raises the following mathematical issues:
– What is the appropriate mechanical model of the implant insertion process into the bone?
– What are the suitable high-performance computing methods to accurately solve the above modelling equations for the bone-implant interaction subject to dynamic excitations?
– Which robust inversion approaches can be employed to retrieve the quantities of interest of the bone-implant interaction such as the bone-implant contact area?
During the PhD thesis, after a bibliographical review, the successful candidate will investigate possible dynamic models described by partial differential equations and their possible simplifications. Inversion aspects of the problem will be considered such as reconstruction of the material (bone) parameters and estimation of the stability characteristics of the implant. Anticipating the need for real-time performance, reduced order modelling aspects should be studied.

General interest in applied mathematics and modelling in physics or life sciences, theoretical and practical experience with numerical methods for partial differential equations. Experience in continuum modelling, solution of inverse problems and model-order reduction techniques would be highly appreciated.

Languages FRENCH Level Basic

Languages ENGLISH Level Good

Additional Information

• Partial reimbursement of public transport costs
• Leave: 7 weeks of annual leave + 10 extra days off due to RTT (statutory reduction in working hours) + possibility of exceptional leave (sick children, moving home, etc.)
• Possibility of teleworking (after 6 months of employment) and flexible organization of working hours
• Professional equipment available (videoconferencing, loan of computer equipment, etc.)
• Social, cultural and sports events and activities
• Access to vocational training
• Contribution to mutual insurance (subject to conditions)

Selection process

Applications must be submitted online on the Inria website. Collecting applications by other channels is not guaranteed.