Author: | Cherruault, Y |
Advisor: | Advisor |
Date: | 2001
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Publisher: | |
Citation: | Mathematic
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Series/Report no.: |
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Item Type: | Article
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Keywords: | Exchange parameters; Alienor technique; Gabriel technique; Archimedes’ spiral; Compartment |
Abstract: | Life is a continuously changing phenomenon, and ,the capacity to observe time-depend-
ent processea by nondestructive means (for example, by tracer techniques) provides functional in- formation which cannot be otherwise obtained. The present study deals with the identification of exchange parameters for a general four compartment model in which the tracer in every compartment can exchange with every other compartment. The method of solution is based on two optimization techniques, namely: the Alienor technique and the Gabriel technique. These techniques reduce different unknowns involved in the problem to a single variable f7, with the help of Archimedes’ spiral, thus leading to the global minimum of a functional of single variable 0. Results are compared with
those obtained by generalized least squares method in terms of accuracy and computational time. |