Numerical reconstruction of brain tumours

• Verfasst von: Jaroudi, Rym [VerfasserIn]
• Verfasst von: Åström, Freddie [VerfasserIn]
• Titel: Numerical reconstruction of brain tumours
• Verf.angabe: Rym Jaroudi, George Baravdish, B. Tomas Johansson & Freddie Åström
• Jahr des Originals: 2018
• Umfang: 21 S.
• Fussnoten: Published online: 29 Mar 2018 ; Gesehen am 14.02.2019
• Titel Quelle: Enthalten in: Inverse problems in science and engineering
• Jahr Quelle: 2019
• Band/Heft Quelle: 27(2019), 3, S. 278-298
• ISSN Quelle: 1741-5985
• DOI: doi:10.1080/17415977.2018.1456537
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1587648121

Abstract

We propose a nonlinear Landweber method for the inverse problem of locating the brain tumour source (origin where the tumour formed) based on well-established models of reaction-diffusion type for brain tumour growth. The approach consists of recovering the initial density of the tumour cells starting from a later state, which can be given by a medical image, by running the model backwards. Moreover, full three-dimensional simulations are given of the tumour source localization on two types of data, the three-dimensional Shepp-Logan phantom and an MRI T1-weighted brain scan. These simulations are obtained using standard finite difference discretizations of the space and time derivatives, generating a simple approach that performs well.