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Volume 6, Issue 1
A Numerical Method for the Identification of Linear Compartmental Systems

Xiu-Min Shao

J. Comp. Math., 6 (1988), pp. 14-27.

Published online: 1988-06

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  • 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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@Article{JCM-6-14, author = {Shao , Xiu-Min}, title = {A Numerical Method for the Identification of Linear Compartmental Systems}, journal = {Journal of Computational Mathematics}, year = {1988}, volume = {6}, number = {1}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9494.html} }
TY - JOUR T1 - A Numerical Method for the Identification of Linear Compartmental Systems AU - Shao , Xiu-Min JO - Journal of Computational Mathematics VL - 1 SP - 14 EP - 27 PY - 1988 DA - 1988/06 SN - 6 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9494.html KW - AB -

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.

Shao , Xiu-Min. (1988). A Numerical Method for the Identification of Linear Compartmental Systems. Journal of Computational Mathematics. 6 (1). 14-27. doi:
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