Identification of a time-dependent bio-heat blood perfusion coefficient

Jakub Krzysztof Grabski; Daniel Lesnic; B. Tomas Johansson

doi:10.1016/j.icheatmasstransfer.2015.12.028

Identification of a time-dependent bio-heat blood perfusion coefficient

Jakub Krzysztof Grabski, Daniel Lesnic^*, B. Tomas Johansson

^*Corresponding author for this work

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

Abstract

In the paper the identification of the time-dependent blood perfusion coefficient is formulated as an inverse problem. The bio-heat conduction problem is transformed into the classical heat conduction problem. Then the transformed inverse problem is solved using the method of fundamental solutions together with the Tikhonov regularization. Some numerical results are presented in order to demonstrate the accuracy and the stability of the proposed meshless numerical algorithm.

Original language	English
Pages (from-to)	218-222
Number of pages	5
Journal	International Communications in Heat and Mass Transfer
Volume	75
Early online date	30 Dec 2015
DOIs	https://doi.org/10.1016/j.icheatmasstransfer.2015.12.028
Publication status	Published - Jul 2016

Bibliographical note

-

Keywords

Bioheat equation
blood perfusion coefficient
method of fundamental solutions
Tikhonov regularization

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10.1016/j.icheatmasstransfer.2015.12.028

Cite this

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title = "Identification of a time-dependent bio-heat blood perfusion coefficient",

abstract = "In the paper the identification of the time-dependent blood perfusion coefficient is formulated as an inverse problem. The bio-heat conduction problem is transformed into the classical heat conduction problem. Then the transformed inverse problem is solved using the method of fundamental solutions together with the Tikhonov regularization. Some numerical results are presented in order to demonstrate the accuracy and the stability of the proposed meshless numerical algorithm.",

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AU - Grabski, Jakub Krzysztof

AU - Lesnic, Daniel

AU - Johansson, B. Tomas

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N2 - In the paper the identification of the time-dependent blood perfusion coefficient is formulated as an inverse problem. The bio-heat conduction problem is transformed into the classical heat conduction problem. Then the transformed inverse problem is solved using the method of fundamental solutions together with the Tikhonov regularization. Some numerical results are presented in order to demonstrate the accuracy and the stability of the proposed meshless numerical algorithm.

AB - In the paper the identification of the time-dependent blood perfusion coefficient is formulated as an inverse problem. The bio-heat conduction problem is transformed into the classical heat conduction problem. Then the transformed inverse problem is solved using the method of fundamental solutions together with the Tikhonov regularization. Some numerical results are presented in order to demonstrate the accuracy and the stability of the proposed meshless numerical algorithm.

KW - Bioheat equation

KW - blood perfusion coefficient

KW - method of fundamental solutions

KW - Tikhonov regularization

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DO - 10.1016/j.icheatmasstransfer.2015.12.028

M3 - Article

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VL - 75

SP - 218

EP - 222

JO - International Communications in Heat and Mass Transfer

JF - International Communications in Heat and Mass Transfer

ER -

Identification of a time-dependent bio-heat blood perfusion coefficient

Abstract

Bibliographical note

Keywords

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