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A Laplace transform approach to direct and inverse problems for multi-compartment models

Published online by Cambridge University Press:  16 March 2022

School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, New South Wales, Australia email:


Multi-compartment models described by systems of linear ordinary differential equations are considered. Catenary models are a particular class where the compartments are arranged in a chain. A unified methodology based on the Laplace transform is utilised to solve direct and inverse problems for multi-compartment models. Explicit formulas for the parameters in a catenary model are obtained in terms of the roots of elementary symmetric polynomials. A method to estimate parameters for a general multi-compartment model is also provided. Results of numerical simulations are presented to illustrate the effectiveness of the approach.

© The Author(s), 2022. Published by Cambridge University Press

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