A Numerical Method for the Identification of Linear Compartmental Systems

A Numerical Method for the Identification of Linear Compartmental Systems

Year:    1988

Author:    Xiu-Min Shao

Journal of Computational Mathematics, Vol. 6 (1988), Iss. 1 : pp. 14–27

Abstract

This paper deals with an inverse problem of a system of ordinary differential equations whose coefficient matrix is the so-called compartmental matrix.This problem arises in a variety of areas such as pharmacokinetics, biology, economics, and so on. A numerical method applicable to the cases of non-unique solutions is developed, by which the projection of the starting value of iteration onto the manifold of solution can be obtained. The convergence of the method is proved. A few examples are examined, which shows the effectiveness of the given method.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1988-JCM-9494

Journal of Computational Mathematics, Vol. 6 (1988), Iss. 1 : pp. 14–27

Published online:    1988-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:   

Author Details

Xiu-Min Shao