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Rosemary ThompsonSenior Lecturer Room 624
Carslaw Building email:roset@maths.usyd.edu.au |
Collaborative projects
Collaborative projects involving the application of mathematical modelling to problems in the medical and clinical sciences, biology, and biomedical engineering include:
Acoustic Field in Biological Media
The field in the close vicinity of walled vessels with lesions - where the lumen is not circular - is very important in biomedical applications. For example, in the study of atherosclerotic plaque and blood vessels in vascular disease.The IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control recently featured an image from this work on the IEEE-TUFFC cover. See also our article in the same issue. |
Simulation of acoustic intensity inside a cylindrical vessel with radius about twice the ultrasound wavelength |
This is collaborative work with A/Prof Charlie Macaskill and Dr Barrie Fraser of the School of Mathematics and Statistics, University of Sydney, and Professor Piero Tortoli and Dr Giacomo Bambi . The work was supported by an ARC Discovery Grant that enabled Dr Robin Steel from Edinburgh to work with the Sydney group. |
Doppler Ultrasound and Spectral Flow Profiles
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In Doppler ultrasound spectral flow profiles (e.g. left, profile from the MSD Lab, University of Florence, Italy), flow related information is bound up with ultrasonic information. We have studied this via experiments in the MSD Lab, and modelling in collaboration with Dr Geoff Aldis (e.g. right, simulated profile for steady flow).
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Blood Flow and Vascular Disease
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In vitro test objects or phantoms are invaluable for understanding ultrasonic measurements that might be made at complex in vivo sites such as the carotid bifurcation (left). A new project to create special phantoms and theoretical methods for realistic material interfaces has just been initiated, in collaboration with Dr Tamie Poepping in London, Ontario. |
The branching structure of blood vessels in the placental villous tree. From a cast made by Anita Turner at Westmead Hospital, in research projects with Professor Brian Trudinger. |
| Teaching: In Semester 1 2008 I will be lecturing Vector Calculus for:
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In Semester 2 2008 I will be lecturing:
as well as half of |
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Other Interests: These include lots of sports such as swimming, surfing, tennis and cycling. I am also interested in conservation and Australian native plants.
Some interesting links |
