Reconstruction of the space- and time-dependent blood perfusion coefficient in bio-heat transfer

Dumitru Trucu, Derek B. Ingham, Daniel Lesnic (Lead / Corresponding author)

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)

Abstract

The identification of the space- and time-dependent perfusion coefficient in the one-dimensional transient bio-heat conduction equation is investigated. While boundary and initial conditions are prescribed, additional temperature measurements are considered inside the solution domain. The problem is approached both from a global and a local perspective. In the global approach a Crank-Nicolson-type scheme is combined with the Tikhonov regularization method. In the local approach, we compute both the time first-order and space second-order derivatives by means of first kind integral equations. A comparison between the numerical results obtained using the two methods shows that the local approach is more accurate and stable than the global one. Copyright © Taylor and Francis Group, LLC.
Original languageEnglish
Pages (from-to)800-810
Number of pages11
JournalHeat Transfer Engineering
Volume32
Issue number9
DOIs
Publication statusPublished - 13 Apr 2011

Fingerprint Dive into the research topics of 'Reconstruction of the space- and time-dependent blood perfusion coefficient in bio-heat transfer'. Together they form a unique fingerprint.

Cite this