Identifying a response parameter in a model of brain tumor evolution under therapy

Abstract A nonlinear conjugate gradient method is derived for the inverse problem of identifying a treatment parameter in model reaction–diffusion type corresponding to evolution brain tumours under therapy. The reconstructed from additional information about tumour taken at fixed instance time. Well-posedness direct problems used iterative outlined as well uniqueness solution problem. Moreover, identification recasted minimization Tikhonov functional and existence minimizer this shown. Finite-difference discretization space time derivatives are employed numerical implementation. Numerical simulations on full 3D data included showing that spacewise-dependent can be recovered stable way.