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

TY - JOUR

T1 - Reconstruction of the space- and time-dependent blood perfusion coefficient in bio-heat transfer

AU - Trucu, Dumitru

AU - Ingham, Derek B.

AU - Lesnic, Daniel

PY - 2011/4/13

Y1 - 2011/4/13

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/79953717751

U2 - 10.1080/01457632.2011.525430

DO - 10.1080/01457632.2011.525430

M3 - Article

SN - 1521-0537

VL - 32

SP - 800

EP - 810

JO - Heat Transfer Engineering

JF - Heat Transfer Engineering

IS - 9

ER -