Research Fellow in Applied Inverse Problems
Leeds, United Kingdom
Job posting number: #7081674 (Ref:EPSMA1041)
Posted: July 28, 2021
Are you interested in contributing to the world’s first thermal breast tomography system to be developed at Leeds University that could revolutionise the way women are scanned for breast cancer? Would you like to develop your cross-cutting research capabilities in: Novel Imaging Technologies, Novel Computational and Mathematical Sciences, and Medical Device Design and Innovation?
Any tomography technique has at its heart a difficult inverse problem that needs to be solved, hence the mathematical analysis on the well or ill-posedness of the model is necessary to be undertaken for scientific justification, as well as to be able to improve it. Difficulties arise due to the non-existence, non-uniqueness or the instability of solution, and establishing the degree of ill-posedness of the operator that needs inverting, is non-trivial. Moreover, concerning the actual inversion, to detect buried/hidden objects based on the transient approach one has to solve a difficult nonlinear and ill-posed moving boundary problem, which leads to a non-convex multi-dimensional optimization that needs to be further regularized to achieve stable results.
The thermographic principle of taking surface temperature measurements as we dynamically heat or cool an object offers an interesting transformative idea, but the approach is yet to be tested in an uncontrolled environment. Therefore, this mathematical modelling project using thermal-waves will provide a solid platform on which improved instrumentation for imaging can be built.
The aim is to mathematically model a tomographic system capable of scanning the interior of a body from transient boundary data. As such, transient data contains much richer information on the unknowns than the steady-state stationary measurements. The objectives of this project (together with the supervisor) you will:
To explore the post further or for any queries you may have, please contact:
Professor Daniel Lesnic (supervisor of the project)
Please note: If you are not a British or Irish citizen, from 1 January 2021 you will require permission to work in the UK. This will normally be in the form of a visa but, if you are an EEA/Swiss citizen and resident in the UK before 31 December 2020, this may be your passport or status under the EU Settlement Scheme.
|Location:||Leeds - Main Campus|
|Faculty/Service:||Faculty of Engineering & Physical Sciences|
|School/Institute:||School of Mathematics|
|Salary:||£33,797 to £40,322 p.a.|
|Due to funding restrictions an appointment will not be made above £35,845 p.a.|
|Working Time:||37.5 hours per week|
|Post Type:||Full Time|
|Contract Type:||Fixed Term (6 months (grant funding))|
|Release Date:||Tuesday 27 July 2021|
|Closing Date:||Tuesday 24 August 2021|
|Interview Date:||To be confirmed|
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