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Two optimization techniques as used in a general four compartment first-order system

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Author: Cherruault, Y

Advisor: Advisor

Date: 2001

Publisher:
Citation: Mathematic

Series/Report no.:
Item Type: Article

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.
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Shankar B. Chavan
Computer Applications Division
Central Library, IIT Delhi
shankar.chavan@library.iitd.ac.in
NDLTD
Shodhganga
NDL
ePrints@IISc
etd@IISc
IR@IIT Bombay
NewsClips @IITD
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