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 journalArticlepeer-review


    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 languageEnglish
    Pages (from-to)218-222
    Number of pages5
    JournalInternational Communications in Heat and Mass Transfer
    Early online date30 Dec 2015
    Publication statusPublished - Jul 2016

    Bibliographical note



    • Bioheat equation
    • blood perfusion coefficient
    • method of fundamental solutions
    • Tikhonov regularization


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