TY - JOUR
T1 - Inverse Temperature-Dependent Perfusion Coefficient Reconstruction
AU - Trucu, Dumitru
AU - Ingham, Derek B.
AU - Lesnic, Daniel
PY - 2010/6
Y1 - 2010/6
N2 - The identification of the temperature-dependent perfusion coefficient in the one-dimensional transient bio-heat conduction equation is investigated. If Neumann boundary conditions are prescribed, then the additional measurement sufficient to render a unique solution is a temperature measurement on a part of the boundary. A numerical approach based on a Crank-Nicolson-type finite-difference scheme combined with the first-order Tikhonov regularization method is developed. Numerical results are presented and discussed.
AB - The identification of the temperature-dependent perfusion coefficient in the one-dimensional transient bio-heat conduction equation is investigated. If Neumann boundary conditions are prescribed, then the additional measurement sufficient to render a unique solution is a temperature measurement on a part of the boundary. A numerical approach based on a Crank-Nicolson-type finite-difference scheme combined with the first-order Tikhonov regularization method is developed. Numerical results are presented and discussed.
UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-77950851911&origin=resultslist&sort=plf-f&src=s&st1=Inverse+Temperature-Dependent+Perfusion+Coefficient+Reconstruction&st2=&sid=0c5f436e04d26917e8ede1698fd9b2fc&sot=b&sdt=b&sl=81&s=TITLE-ABS-KEY%28Inverse+Temperature-Dependent+Perfusion+Coefficient+Reconstruction%29&relpos=0&citeCnt=10&searchTerm=
U2 - 10.1016/j.ijnonlinmec.2010.02.004
DO - 10.1016/j.ijnonlinmec.2010.02.004
M3 - Article
VL - 45
SP - 542
EP - 549
JO - International Journal of Non-Linear Mechanics
JF - International Journal of Non-Linear Mechanics
IS - 5
ER -