An inverse problem for equations of cerebral oxygen transport

作者：

Highlights：

• An inverse problem for the continuum steady-state model of cerebral oxygen transport is studied.

• The existence theorem is proved without assumptions of smallness.

• The conditions for the uniqueness of the solution are established.

• A numerical algorithm based on the Tikhonov regularization method is constructed and its convergence is shown by a numerical example.

摘要

•An inverse problem for the continuum steady-state model of cerebral oxygen transport is studied.•The existence theorem is proved without assumptions of smallness.•The conditions for the uniqueness of the solution are established.•A numerical algorithm based on the Tikhonov regularization method is constructed and its convergence is shown by a numerical example.

论文关键词：Nonlinear boundary-value problem,Inverse problem,Non-local solvability,Cerebral oxygen transport

论文评审过程：Received 28 April 2020, Revised 10 January 2021, Accepted 28 February 2021, Available online 13 March 2021, Version of Record 13 March 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126154