Numerical reconstruction of brain tumours
| Autor: | Rym Jaroudi, George Baravdish, Freddie Åström, B. Tomas Johansson |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Computer science
Applied Mathematics Quantitative Biology::Tissues and Organs Physics::Medical Physics General Engineering Finite difference Computational mathematics 010103 numerical & computational mathematics Inverse problem 01 natural sciences Imaging phantom Computer Science Applications Image (mathematics) Quantitative Biology::Cell Behavior 010101 applied mathematics Nonlinear system Reaction–diffusion system Medical imaging 0101 mathematics Algorithm |
| ISSN: | 1741-5985 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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