A new technique for solving nonlinear differential equations encountered in modeling of neuroreceptor-binding ligands

For assessing neuroreceptor density with positron-emission tomography (PET), nonlinear differential equations consisting of products of the tracer concentrations are needed to describe the tracer kinetics of receptor-binding ligands. The authors have investigated an iterative solution technique for...

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Bibliographic Details
Published in:IEEE transactions on nuclear science 1988-02, Vol.35 (1), p.762-766
Main Authors: Huang, S.-c., Bahn, M.M., Phelps, M.E.
Format: Article
Language:English
Subjects:
Biophysics
Blood flow
Differential equations
In vivo
Kinetic theory
Labeling
Laboratories
Nuclear medicine
Positron emission tomography
Radioactive materials
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Summary:For assessing neuroreceptor density with positron-emission tomography (PET), nonlinear differential equations consisting of products of the tracer concentrations are needed to describe the tracer kinetics of receptor-binding ligands. The authors have investigated an iterative solution technique for this type of nonlinear differential equation. The technique involves solving iteratively a sequence of linear differential equations that is related to the original nonlinear differential equation. The sequence of solution of these linear differential equations converges to the solution of the nonlinear differential equation. The technique is faster and more accurate than Runge-Kutta numerical integration technique. The solution technique can facilitate the investigation of the tracer kinetic characteristics of neuroreceptor-binding ligands and the estimation of neuroreceptor density from PET-collected kinetics of receptor-binding ligands.< >
ISSN:0018-9499
1558-1578
DOI:10.1109/23.12828