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

• Published in: Mathematical and computer modelling 2001-04, Vol.33 (8), p.1027-1033
• Main Authors: Cherruault, Y., Sarin, V.B.
• Format: Article
• Language: English
• Subjects: Alienor technique; Archimedes' spiral; Calculus of variations and optimal control; Compartment; Exact sciences and technology; Exchange parameters; Gabriel technique; Mathematical analysis; Mathematics; Numerical analysis; Numerical analysis. Scientific computation; Numerical methods in mathematical programming, optimization and calculus of variations; Numerical methods in optimization and calculus of variations; Ordinary differential equations; Sciences and techniques of general use
• ISSN: 0895-7177; 1872-9479
• DOI: 10.1016/S0895-7177(00)00297-1

Life is a continuously changing phenomenon, and the capacity to observe time-dependent processes by nondestructive means (for example, by tracer techniques) provides functional information 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 θ, with the help of Archimedes' spiral, thus leading to the global minimum of a functional of single variable θ. Results are compared with those obtained by generalized least squares method in terms of accuracy and computational time.