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Ph.D. - Medical Image Registration and Surgery Simulation
Description
| Advisers: |
Prof. Knut Conradsen,
Institute of Mathematical Modelling, Technical University of
Denmark
Dr. Bjarne K. Ersbøll,
Institute of Mathematical Modelling, Technical University of
Denmark |
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| Censors: |
Dr. Nicholas
Ayache,
INRIA
Epidaure, France
Prof. Mike Brady, Oxford University, UK
Dr. Allan Aasbjerg, Institute of
Mathematical Modelling, Technical University of Denmark |
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Medical images are fundamentally models of the human
body sampled at one point in time. As such they have tremendous
value in medicine since they provide a snapshot in which diseases and
mal-formations usually can be diagnosed and treatments can be planned.
But in some cases the behavior of the tissue over time or the reaction
of the tissue to external stimuli can also be very important. An example
is the development over time of some tumors that can be used to predict
the development of the tumor. Another example is planning of cranio-facial
surgery on children. In children it is important to know what the future
growth of the child will be. One way to predict this is by knowing
something about the history of the child's development.
If only one snapshot of the patient is available, the
only alternative is to try to model the physical behavior of the
tissue in the patient. If a snapshot of the tissue and a physical model
of it is available, theory says that it should be possible to predict
the behavior of the tissue within reasonable limits.
This
dissertation is about such models of human tissue and the use of these
models in different medical applications to model growth, deformation,
and other changes in a patient - based on one or a few 3D images of the
patient.
Continuum models of elasticity and viscous fluids
form the basis for these models. They
are studied in detail, and this knowledge is used
as a basis for the applications described below.
To read about the projects that I worked on as part of my Ph.D., click here.
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