IDENTIFICATION OF PARAMETERS IN COMPARTMENTAL SYSTEM WHEN THE STRUCTURE IS GIVEN BEFOREHAND.

Mitsuyasu Kagiyama, Fumihiko Kajiya, Noritake Hoki, Masatoshi Imamura, Go Tomonaga, Hideo Kusuoka

Research output: Contribution to journalArticle

Abstract

Compartmental analysis is a method for evaluating a system composed of several compartments from dynamical observations of a tracer injected into the system. The purpose of this study is to propose a method applicable to any compartment system whose structure is known in advance. It is assumed that the tracer is a radioisotope frequently used in medicine and biology. ″The sum of the squares of the residuals weighted by the reciprocal of the observed values″ is adopted as an objective function to identify the pertinent parameters. This function is derived from the likelihood function for the observed values. The constraints based on the law of constancy of tracer mass are evaluated by the asymptotic variances based on the Fisher information matrix and the Cramer-Rao inequality. Following the numerical experiments it is demonstrated that the method is accurate and useful for the identification of a compartmental system when its structure is known in advance.

Original languageEnglish (US)
Pages (from-to)82-90
Number of pages9
JournalSystems, computers, controls
Volume11
Issue number1
StatePublished - Jan 1980
Externally publishedYes

Fingerprint

Fisher information matrix
Radioactive tracers
Cramer-Rao bounds
Radioisotopes
Medicine
Experiments

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Kagiyama, M., Kajiya, F., Hoki, N., Imamura, M., Tomonaga, G., & Kusuoka, H. (1980). IDENTIFICATION OF PARAMETERS IN COMPARTMENTAL SYSTEM WHEN THE STRUCTURE IS GIVEN BEFOREHAND. Systems, computers, controls, 11(1), 82-90.

IDENTIFICATION OF PARAMETERS IN COMPARTMENTAL SYSTEM WHEN THE STRUCTURE IS GIVEN BEFOREHAND. / Kagiyama, Mitsuyasu; Kajiya, Fumihiko; Hoki, Noritake; Imamura, Masatoshi; Tomonaga, Go; Kusuoka, Hideo.

In: Systems, computers, controls, Vol. 11, No. 1, 01.1980, p. 82-90.

Research output: Contribution to journalArticle

Kagiyama, M, Kajiya, F, Hoki, N, Imamura, M, Tomonaga, G & Kusuoka, H 1980, 'IDENTIFICATION OF PARAMETERS IN COMPARTMENTAL SYSTEM WHEN THE STRUCTURE IS GIVEN BEFOREHAND.', Systems, computers, controls, vol. 11, no. 1, pp. 82-90.
Kagiyama M, Kajiya F, Hoki N, Imamura M, Tomonaga G, Kusuoka H. IDENTIFICATION OF PARAMETERS IN COMPARTMENTAL SYSTEM WHEN THE STRUCTURE IS GIVEN BEFOREHAND. Systems, computers, controls. 1980 Jan;11(1):82-90.
Kagiyama, Mitsuyasu ; Kajiya, Fumihiko ; Hoki, Noritake ; Imamura, Masatoshi ; Tomonaga, Go ; Kusuoka, Hideo. / IDENTIFICATION OF PARAMETERS IN COMPARTMENTAL SYSTEM WHEN THE STRUCTURE IS GIVEN BEFOREHAND. In: Systems, computers, controls. 1980 ; Vol. 11, No. 1. pp. 82-90.
@article{7f104e4fb51445479602e14d0f05c18c,
title = "IDENTIFICATION OF PARAMETERS IN COMPARTMENTAL SYSTEM WHEN THE STRUCTURE IS GIVEN BEFOREHAND.",
abstract = "Compartmental analysis is a method for evaluating a system composed of several compartments from dynamical observations of a tracer injected into the system. The purpose of this study is to propose a method applicable to any compartment system whose structure is known in advance. It is assumed that the tracer is a radioisotope frequently used in medicine and biology. ″The sum of the squares of the residuals weighted by the reciprocal of the observed values″ is adopted as an objective function to identify the pertinent parameters. This function is derived from the likelihood function for the observed values. The constraints based on the law of constancy of tracer mass are evaluated by the asymptotic variances based on the Fisher information matrix and the Cramer-Rao inequality. Following the numerical experiments it is demonstrated that the method is accurate and useful for the identification of a compartmental system when its structure is known in advance.",
author = "Mitsuyasu Kagiyama and Fumihiko Kajiya and Noritake Hoki and Masatoshi Imamura and Go Tomonaga and Hideo Kusuoka",
year = "1980",
month = "1",
language = "English (US)",
volume = "11",
pages = "82--90",
journal = "Systems, computers, controls",
issn = "0096-8765",
publisher = "Scripta Pub Co.",
number = "1",

}

TY - JOUR

T1 - IDENTIFICATION OF PARAMETERS IN COMPARTMENTAL SYSTEM WHEN THE STRUCTURE IS GIVEN BEFOREHAND.

AU - Kagiyama, Mitsuyasu

AU - Kajiya, Fumihiko

AU - Hoki, Noritake

AU - Imamura, Masatoshi

AU - Tomonaga, Go

AU - Kusuoka, Hideo

PY - 1980/1

Y1 - 1980/1

N2 - Compartmental analysis is a method for evaluating a system composed of several compartments from dynamical observations of a tracer injected into the system. The purpose of this study is to propose a method applicable to any compartment system whose structure is known in advance. It is assumed that the tracer is a radioisotope frequently used in medicine and biology. ″The sum of the squares of the residuals weighted by the reciprocal of the observed values″ is adopted as an objective function to identify the pertinent parameters. This function is derived from the likelihood function for the observed values. The constraints based on the law of constancy of tracer mass are evaluated by the asymptotic variances based on the Fisher information matrix and the Cramer-Rao inequality. Following the numerical experiments it is demonstrated that the method is accurate and useful for the identification of a compartmental system when its structure is known in advance.

AB - Compartmental analysis is a method for evaluating a system composed of several compartments from dynamical observations of a tracer injected into the system. The purpose of this study is to propose a method applicable to any compartment system whose structure is known in advance. It is assumed that the tracer is a radioisotope frequently used in medicine and biology. ″The sum of the squares of the residuals weighted by the reciprocal of the observed values″ is adopted as an objective function to identify the pertinent parameters. This function is derived from the likelihood function for the observed values. The constraints based on the law of constancy of tracer mass are evaluated by the asymptotic variances based on the Fisher information matrix and the Cramer-Rao inequality. Following the numerical experiments it is demonstrated that the method is accurate and useful for the identification of a compartmental system when its structure is known in advance.

UR - http://www.scopus.com/inward/record.url?scp=0018812308&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0018812308&partnerID=8YFLogxK

M3 - Article

VL - 11

SP - 82

EP - 90

JO - Systems, computers, controls

JF - Systems, computers, controls

SN - 0096-8765

IS - 1

ER -