PhD Position F/M Mathematical and numerical modeling of shear-wave propagation in the heart for transient elastography

September 30, 2022
Offerd Salary:Negotiation
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2022-05336 - PhD Position F/M Mathematical and numerical modeling of shear- wave propagation in the heart for transient elastography

Contract type : Fixed-term contract

Level of qualifications required : Graduate degree or equivalent

Fonction : PhD Position


Cardiac pathologies are often characterized by a change of myocardial stiffness. For example, some types of heart failure display changes in ventricular stiffness. Stiffness is an intrinsic property of soft tissues that reflects the pathological states. However, current clinical imaging tools such as echocardiography or MRI cannot assess it.

Recent advances in the field of ultrafast ultrasound imaging have allowed for the first time the quantitative assessment of myocardial stiffness in human patients. This approach is based on Shear Wave Elastography which relies on tracking at very high frame rate the velocity of shear-waves propagating in the myocardium.

The objective of this Phd is to develop a mathematical and numerical modeling of 3D Shear-Wave propagation in cardiac realistic physiological models in a small region of interest (ROI). Note that the modeling of the heart is our main focus but is also the most difficult living tissue to consider due to its active and fibered behavior. Propagation in other tissues (liver, muscles) is simpler both from the mathematical and numerical points of view.

In particular, the candidate will participate in the development of a simulation tool that will enable to validate the classical assumptions that (1) the heart can be considered in a quasi-static state, and (2) the propagation of waves can be considered as local but at a very high frequency. This requires the development of different strategies that rely on numerical and mathematical developments.

A strong background in applied mathematics is required. Knowledge in programming (C++) is an asset.

Main activities

Main activities (5 maximum) : research activities in mathematics and numerics (analysis, bilbiography, ...) write reports (in LateX) and programming (C++)


A strong background in applied mathematics is required. Knowledge in programming (C++) is an asset.

A good level in english is required.

Benefits package
  • Subsidized meals
  • 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
  • Social security coverage
  • Remuneration

    2051 €/month (gross salary)

    General Information
  • Theme/Domain : Numerical schemes and simulations Biologie et santé, Sciences de la vie et de la terre (BAP A)

  • Town/city : Palaiseau

  • Inria Center : CRI Saclay - Île-de-France
  • Starting date : 2022-11-01
  • Duration of contract : 3 years
  • Deadline to apply : 2022-09-30
  • Contacts
  • Inria Team : M3DISIM
  • PhD Supervisor : Impériale Sebastien /
  • About Inria

    Inria is the French national research institute dedicated to digital science and technology. It employs 2,600 people. Its 200 agile project teams, generally run jointly with academic partners, include more than 3,500 scientists and engineers working to meet the challenges of digital technology, often at the interface with other disciplines. The Institute also employs numerous talents in over forty different professions. 900 research support staff contribute to the preparation and development of scientific and entrepreneurial projects that have a worldwide impact.

    Instruction to apply

    Defence Security : This position is likely to be situated in a restricted area (ZRR), as defined in Decree No. 2011-1425 relating to the protection of national scientific and technical potential (PPST).Authorisation to enter an area is granted by the director of the unit, following a favourable Ministerial decision, as defined in the decree of 3 July 2012 relating to the PPST. An unfavourable Ministerial decision in respect of a position situated in a ZRR would result in the cancellation of the appointment.

    Recruitment Policy : As part of its diversity policy, all Inria positions are accessible to people with disabilities.

    Warning : you must enter your e-mail address in order to save your application to Inria. Applications must be submitted online on the Inria website. Processing of applications sent from other channels is not guaranteed.

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