Model-order reduction of nonlinear models of electromagnetic phased-array hyperthermia

Author

Kowalski, Marc E. ; Jin, Jian-Ming

Author_Institution

Pennie & Edmonds LLP, Palo Alto, CA, USA

Volume

50

Issue

11

fYear

2003

Firstpage

1243

Lastpage

1254

Abstract

A method based on the Karhunen-Loeve (KL) transform is proposed for the reduction of large-scale, nonlinear ordinary differential equations such as those arising from the finite difference modeling of biological heat transfer. The method of snapshots is used to expedite computation of the required quantities in the KL procedure. Guidelines are presented and validated for snapshot selection and resultant basis series truncation, emphasizing the special physical features of the electromagnetic phased-array heat transfer physics. Applications to fast temperature prediction are presented.

Keywords

Karhunen-Loeve transforms; biological effects of fields; finite difference methods; heat transfer; hyperthermia; nonlinear differential equations; physiological models; radiation therapy; reduced order systems; Karhunen-Loeve transform; annular phased-array; basis series truncation; biological heat transfer; electromagnetic phased-array hyperthermia; finite difference modeling; large-scale nonlinear ordinary differential equations; model-order reduction; nonlinear models; reduced order model; snapshot selection; temperature prediction; Biological system modeling; Biology computing; Differential equations; Electromagnetic modeling; Finite difference methods; Guidelines; Heat transfer; Hyperthermia; Karhunen-Loeve transforms; Large-scale systems; Adipose Tissue; Body Temperature; Computer Simulation; Heat; Humans; Hyperthermia, Induced; Models, Biological; Muscle, Skeletal; Nonlinear Dynamics; Phantoms, Imaging; Therapy, Computer-Assisted; Urinary Bladder Neoplasms;

fLanguage

English

Journal_Title

Biomedical Engineering, IEEE Transactions on

Publisher

ieee

ISSN

0018-9294

Type

jour

DOI

10.1109/TBME.2003.818468

Filename

1237365