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Details of Grant 

EPSRC Reference: EP/L026473/1
Title: The inverse source problem arising in Photoacoustic Tomography
Principal Investigator: Oksanen, Dr L
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Mathematics
Organisation: UCL
Scheme: First Grant - Revised 2009
Starts: 01 September 2014 Ends: 04 January 2017 Value (£): 98,324
EPSRC Research Topic Classifications:
Medical Imaging Numerical Analysis
EPSRC Industrial Sector Classifications:
Healthcare
Related Grants:
Panel History:
Panel DatePanel NameOutcome
05 Mar 2014 EPSRC Mathematics Prioritisation Meeting March 2014 Announced
Summary on Grant Application Form
The project addresses fundamental analytical questions on the acoustic wave

equation. The questions arise in, but are not limited to the context of

Photoacoustic Tomography (PAT).

PAT is a medical imaging technique that combines the high contrast in

electromagnetic absorption, say between healthy and cancerous tissue, with the

high resolution of ultrasound. The existing PAT image reconstruction methods

based on time-reversal arguments do not work when photoacoustic measurements

are obtained by using an array of detectors that reflects acoustic waves.

However, the use of detector arrays significantly speeds up the data

acquisition in practice. One of the main objectives of the project is to

develop a comprehensive analytical theory for PAT in a reflecting cavity

formed by detector arrays.

The mathematical results to be obtained have applications beyond PAT in the

fields of Control Theory for Partial Differential Equations and Inverse

Problems. These applications will be explored. In particular, the results

allow us to understand better the stability properties of hyperbolic inverse

boundary value problems. These problems occur in a large number of

applications including medical ultrasound tomography, seismology, oceanology,

process monitoring and non-destructive testing. In terms of these

applications, our focus is on seismic imaging.
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