Reconstructing the one-compartment tracer-kinetic field with diffusion and convection
Steven Sourbron 1
University of Leeds, Leeds, UK, United
A tracer-kinetic field theory has been proposed for DCE-
and DSC-MRI that may reduce error and provide new
information by spatial modelling of indicator transport.
In this study a 2D simulation of the simplest
one-compartment field model is used to investigate
whether all model parameters are uniquely identifiable.
The discrete system is written as a large sparse linear
inverse problem and solved iteratively using constrained
gradient descent. A well-defined optimum is found but
the reconstructed fields are not sufficiently accurate
for a simulation of ideal conditions. It is concluded
that a better reconstruction algorithm is required, or
additional constraints must be imposed.
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