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ABSTRACT
The Ductal carcinoma in situ (DCIS) model has wide applications in the diagnosis of breast cancer, and has been attracted much attention in recent years. In this paper, an effective method has been provided for solving the direct problem of the DCIS model. Moreover, the uniqueness result is established for a kind of inverse problems of DCIS model. Based on the uniqueness theorem, an optimization method has been developed for dealing with the related inverse problem of the DCIS model. The numerical experiments show that the algorithms in this paper are efficient, accurate, robust against noise and fast.
Acknowledgements
This work was finished when Prof. Yongzhi Xu visited SUFE during May 2018.
Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Funding
The work of Keji Liu was supported by the National Natural Science Foundation of China [grant number 11601308], the Shanghai Education Development Foundation and the Shanghai Municipal Education Commission under ‘Chenguang Program’ No. 15CG35. The work of Dinghua Xu was supported by the NNSF of China [grant numbers 11471287 and 11871435].