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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