Parameter estimation with discrete linear least squares method

Liang Chih Wu; Wen Chih Lee; Chung Lin Huang; Jiunn Kuen Wang; Po Fen Chin; Ren Shyan Liu

doi:10.1016/S1474-6670(17)33488-2

Parameter estimation with discrete linear least squares method

Liang Chih Wu, Wen Chih Lee, Chung Lin Huang, Jiunn Kuen Wang, Po Fen Chin, Ren Shyan Liu

Department of Biomedical Imaging and Radiological Sciences

Research output: Contribution to journal › Conference article › peer-review

Abstract

This study investigated a parameter estimation method for the quantitation of [F-18]2-fluoro-2-deoxy-D-glucose (FDG) positron emission tomography (PET) study using discrete linear least squares technique. The kinetics of FDG model is formulated as a discrete linear system. Using Z transform and its inverse transform, the rate constants of FDG model can be derived from a set of simultaneous equations in matrix form. The results show that our method is an efficient and reliable method for measuring cerebral metabolic rate of glucose. With optimal sample schedule, the error in parameter estimation is reduced and the correlation between the proposed method and nonlinear least squares method is superior to that of the original sample schedule.

Original language	English
Pages (from-to)	135-138
Number of pages	4
Journal	IFAC Proceedings Volumes (IFAC-PapersOnline)
Volume	36
Issue number	15
DOIs	https://doi.org/10.1016/S1474-6670(17)33488-2
State	Published - 2003
Event	5th IFAC Symposium on Modelling and Control in Biomedical Systems 2003 - Melbourne, Australia Duration: 21 Aug 2003 → 23 Aug 2003

Keywords

Convolution
Least squares method
Linear system
Parameter estimation
Rate constants

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10.1016/S1474-6670(17)33488-2

Cite this

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title = "Parameter estimation with discrete linear least squares method",

abstract = "This study investigated a parameter estimation method for the quantitation of [F-18]2-fluoro-2-deoxy-D-glucose (FDG) positron emission tomography (PET) study using discrete linear least squares technique. The kinetics of FDG model is formulated as a discrete linear system. Using Z transform and its inverse transform, the rate constants of FDG model can be derived from a set of simultaneous equations in matrix form. The results show that our method is an efficient and reliable method for measuring cerebral metabolic rate of glucose. With optimal sample schedule, the error in parameter estimation is reduced and the correlation between the proposed method and nonlinear least squares method is superior to that of the original sample schedule.",

keywords = "Convolution, Least squares method, Linear system, Parameter estimation, Rate constants",

author = "Wu, {Liang Chih} and Lee, {Wen Chih} and Huang, {Chung Lin} and Wang, {Jiunn Kuen} and Chin, {Po Fen} and Liu, {Ren Shyan}",

note = "Publisher Copyright: Copyright {\textcopyright} 2003 IF AC.; 5th IFAC Symposium on Modelling and Control in Biomedical Systems 2003 ; Conference date: 21-08-2003 Through 23-08-2003",

year = "2003",

doi = "10.1016/S1474-6670(17)33488-2",

language = "English",

volume = "36",

pages = "135--138",

journal = "IFAC Proceedings Volumes (IFAC-PapersOnline)",

issn = "1474-6670",

publisher = "IFAC Secretariat",

number = "15",

}

TY - JOUR

T1 - Parameter estimation with discrete linear least squares method

AU - Wu, Liang Chih

AU - Lee, Wen Chih

AU - Huang, Chung Lin

AU - Wang, Jiunn Kuen

AU - Chin, Po Fen

AU - Liu, Ren Shyan

PY - 2003

Y1 - 2003

N2 - This study investigated a parameter estimation method for the quantitation of [F-18]2-fluoro-2-deoxy-D-glucose (FDG) positron emission tomography (PET) study using discrete linear least squares technique. The kinetics of FDG model is formulated as a discrete linear system. Using Z transform and its inverse transform, the rate constants of FDG model can be derived from a set of simultaneous equations in matrix form. The results show that our method is an efficient and reliable method for measuring cerebral metabolic rate of glucose. With optimal sample schedule, the error in parameter estimation is reduced and the correlation between the proposed method and nonlinear least squares method is superior to that of the original sample schedule.

AB - This study investigated a parameter estimation method for the quantitation of [F-18]2-fluoro-2-deoxy-D-glucose (FDG) positron emission tomography (PET) study using discrete linear least squares technique. The kinetics of FDG model is formulated as a discrete linear system. Using Z transform and its inverse transform, the rate constants of FDG model can be derived from a set of simultaneous equations in matrix form. The results show that our method is an efficient and reliable method for measuring cerebral metabolic rate of glucose. With optimal sample schedule, the error in parameter estimation is reduced and the correlation between the proposed method and nonlinear least squares method is superior to that of the original sample schedule.

KW - Convolution

KW - Least squares method

KW - Linear system

KW - Parameter estimation

KW - Rate constants

UR - http://www.scopus.com/inward/record.url?scp=85064379871&partnerID=8YFLogxK

U2 - 10.1016/S1474-6670(17)33488-2

DO - 10.1016/S1474-6670(17)33488-2

M3 - Conference article

AN - SCOPUS:85064379871

SN - 1474-6670

VL - 36

SP - 135

EP - 138

JO - IFAC Proceedings Volumes (IFAC-PapersOnline)

JF - IFAC Proceedings Volumes (IFAC-PapersOnline)

IS - 15

T2 - 5th IFAC Symposium on Modelling and Control in Biomedical Systems 2003

Y2 - 21 August 2003 through 23 August 2003

ER -

Parameter estimation with discrete linear least squares method

Abstract

Keywords

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