An optimal control problem in estimating the cooling condition for a cemented hip replacement system

Cheng Hung Huang; Pei Ying Wu

doi:10.1016/j.apm.2011.04.046

An optimal control problem in estimating the cooling condition for a cemented hip replacement system

Cheng Hung Huang, Pei Ying Wu

Department of Systems and Naval Mechatronic Engineering

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

An optimal control problem utilizing the Levenberg-Marquardt method (LMM) is examined in this study to determine the unknown optimal control heat flux function for a cemented hip replacement system based on the desired temperature distributions at the cement-bone interface to prevent the death of bone tissues. The validation of this optimal control problem is verified by using the numerical experiments. Results show that an optimal control function can be obtained using the present algorithm for the test cases considered in this work to reduce the temperature variation and to save the bone tissues at the cement-bone interface.

Original language	English
Pages (from-to)	5480-5491
Number of pages	12
Journal	Applied Mathematical Modelling
Volume	35
Issue number	11
DOIs	https://doi.org/10.1016/j.apm.2011.04.046
Publication status	Published - 2011 Nov

All Science Journal Classification (ASJC) codes

Modelling and Simulation
Applied Mathematics

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10.1016/j.apm.2011.04.046

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title = "An optimal control problem in estimating the cooling condition for a cemented hip replacement system",

abstract = "An optimal control problem utilizing the Levenberg-Marquardt method (LMM) is examined in this study to determine the unknown optimal control heat flux function for a cemented hip replacement system based on the desired temperature distributions at the cement-bone interface to prevent the death of bone tissues. The validation of this optimal control problem is verified by using the numerical experiments. Results show that an optimal control function can be obtained using the present algorithm for the test cases considered in this work to reduce the temperature variation and to save the bone tissues at the cement-bone interface.",

author = "Huang, {Cheng Hung} and Wu, {Pei Ying}",

note = "Funding Information: This work was supported in part by the National Science Council, of Taiwan, ROC , through Grant Number, NSC-99-2221-E-006-238-MY3 .",

year = "2011",

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AU - Wu, Pei Ying

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Y1 - 2011/11

N2 - An optimal control problem utilizing the Levenberg-Marquardt method (LMM) is examined in this study to determine the unknown optimal control heat flux function for a cemented hip replacement system based on the desired temperature distributions at the cement-bone interface to prevent the death of bone tissues. The validation of this optimal control problem is verified by using the numerical experiments. Results show that an optimal control function can be obtained using the present algorithm for the test cases considered in this work to reduce the temperature variation and to save the bone tissues at the cement-bone interface.

AB - An optimal control problem utilizing the Levenberg-Marquardt method (LMM) is examined in this study to determine the unknown optimal control heat flux function for a cemented hip replacement system based on the desired temperature distributions at the cement-bone interface to prevent the death of bone tissues. The validation of this optimal control problem is verified by using the numerical experiments. Results show that an optimal control function can be obtained using the present algorithm for the test cases considered in this work to reduce the temperature variation and to save the bone tissues at the cement-bone interface.

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An optimal control problem in estimating the cooling condition for a cemented hip replacement system

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