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PubMed · 3587142

Generalized conservation equation for multicompartmental systems.

R S Adler
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Abstract

A projection operator technique is used to derive an equation for local tissue tracer content Q(t), assuming linear multicompartmental kinetics for tracer utilization. The resulting equation has the form (Equation: see text), where F and Ca(t) denote local blood flow and concentration of tracer, respectively. Tissue complexity is contained within the new parameters lambda, xi(t), and psi(t), where the time-dependent coefficients are expressed as sums of exponentials. Two simple applications are considered: tissue heterogeneity and internal trapping of tracer. The relationship to effective single compartmental analysis, as is used for local cerebral blow flow determination, is evaluated.

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Body Fluid CompartmentsHumansMathematicsModels, BiologicalRadioactive TracersRadioisotopesJournal Article

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R S Adler. Generalized conservation equation for multicompartmental systems.. https://doi.org/10.1118/1.596135

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