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Positron-emission tomography (PET) is a non-invasive technology increasingly used in medical treatment and drug discovery. Tracer Kinetic Modelling (TKM) of dynamic PET images uses a mathematical compartment model of tracer behavior to quantify tracer concentrations in various regions. Parameter estimation of this tracer kinetic model essentially relies on the knowledge of initial approximations to...
There are many image processing techniques based on partial differential equations that perform well, but they consume much computational time. It's vital that rapid and efficient ways of solving these equations are developed. Use of the Laplace transforms permits solution to the time dependent problems in a parallel environment. The solution procedure requires numerical computation of an inverse...
This paper provides an overview of the current status of methods that may be used to induce parallel properties into the temporal axis for time dependent problems described by differential equations. An extension to problems with two spatial dimensions is also included.
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