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- W2092880618 abstract "Abstract Short-lived radioactive tracers are used because of the low radiation dose to patients. Another advantage finding increasing use, however, is that the equilibrium activities achieved by continuous administration to a steady state contain kinetic information. This is not the case with long-lived isotopes. The derivation of quantitative kinetic information in the form of rate constants or flows requires the formulation of a model of the system being studied. Several approaches to this have been published based on a model of single compartments with simultaneous arrival of tracer. To deal with more realistic models a method is proposed which uses the analogy between the procedure of continuous administration of short-lived tracer and the Laplace transform. If f(t) is the activity of a long-lived tracer in any part of a system after administration of unit activity to the input, then ∫ o ∞ e −st f(t) d t= f (s) is the “equilibrium” activity of the part after continuous administration of a short-lived tracer of decay constant f (f) is also a value of the Laplace transform of (t). This analogy permits all the theorems of Laplace transform theory to be applied to the analysis of measured activities. The basis of the analogy is explained and examples are given of its application to a number of models which represent actual physiology more realistically than single compartment models. In these applications the transformed equations representing the model, with measured values of activity inserted for each transform, are solved to derive the rate constants. This is different from the use of Laplace transforms where the constant coefficients are known and the initial value problem is solved to find the behaviour of the variables." @default.
- W2092880618 created "2016-06-24" @default.
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- W2092880618 date "1979-05-01" @default.
- W2092880618 modified "2023-09-26" @default.
- W2092880618 title "Continuous administration of short-lived radioisotope tracers and the analogous laplace transform" @default.
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- W2092880618 doi "https://doi.org/10.1016/0022-5193(79)90328-x" @default.
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