Space-dependent perfusion coefficient estimation in a 2D bioheat transfer problem

作者：Bazan Fermin S V^*; Bedin Luciano; Borges Leonardo S

来源：Computer Physics Communications, 2017, 214: 18-30.

DOI：10.1016/j.cpc.2017.01.002

• Pennes equation
• Chebyshev pseudospectral methods
• Nonlinear least squares problems
• Regularized Gauss Newton method

In this work, a method for estimating the space-dependent perfusion coefficient parameter in a 2D bioheat transfer model is presented. In the method, the bioheat transfer model is transformed into a time-dependent semidiscrete system of ordinary differential equations involving perfusion coefficient values as parameters, and the estimation problem is solved through a nonlinear least squares technique. In particular, the bioheat problem is solved by the method of lines based on a highly accurate pseudospectral approach, and perfusion coefficient values are estimated by the regularized Gauss Newton method coupled with a proper regularization parameter. The performance of the method on several test problems is illustrated numerically.

• 出版日期2017-5