The identification of the space-dependent perfusion coefficient in the one-dimensional transient bio-heat conduction equation is investigated. In this inverse coefficient identification problem, the additional measurement necessary to render a unique solution is a boundary temperature measurement. A numerical approach based on a Crank-Nicolson finite-difference scheme combined with Tikhonov's regularization methods is developed. Numerical results are presented and discussed.
Trucu, D., Ingham, D. B., & Lesnic, D. (2008). Inverse Space-Dependent Perfusion Coefficient Identification. Journal of Physics: Conference Series, 135, . https://doi.org/10.1088/1742-6596/135/1/012098