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

Journal Article


Abstract


  • 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.

Publication Date


  • 2022

Citation


  • Rodrigo, M. (2022). A Laplace transform approach to direct and inverse problems for multi-compartment models. European Journal of Applied Mathematics. doi:10.1017/S0956792522000055

Scopus Eid


  • 2-s2.0-85126914138

Web Of Science Accession Number


Volume


Issue


Place Of Publication


Abstract


  • 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.

Publication Date


  • 2022

Citation


  • Rodrigo, M. (2022). A Laplace transform approach to direct and inverse problems for multi-compartment models. European Journal of Applied Mathematics. doi:10.1017/S0956792522000055

Scopus Eid


  • 2-s2.0-85126914138

Web Of Science Accession Number


Volume


Issue


Place Of Publication