Search for dissertations about: "Rym Jaroudi"

Found 2 swedish dissertations containing the words Rym Jaroudi.

2. 1. Inverse Mathematical Models for Brain Tumour Growth

   Author : Rym Jaroudi; George Baravdish; Tomas Johansson; Trucu Dumitru; Linköpings universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES;

   Abstract : We study the following well-established model of reaction-diffusion type for brain tumour growth:This equation describes the change over time of the normalised tumour cell density u as a consequence of two biological phenomena: proliferation and diffusion.We discuss a mathematical method for the inverse problem of locating the brain tumour source (origin) based on the reaction-diffusion model. READ MORE

4. 2. Inverse Problems for Tumour Growth Models and Neural ODEs

   Author : Rym Jaroudi; George Baravdish; Tomas Johansson; Jonas Unger; Gabriel Eilertsen; Lukáš Malý; Torbjörn Lundh; Linköpings universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES;

   Abstract : This thesis concerns the application of methods and techniques from the theory of inverse problems and differential equations to study models arising in the areas of mathematical oncology and deep learning. The first problem studied is to develop methods to perform numerical simulations with full 3-dimensional brain imaging data of reaction-diffusion models for tumour growth forwards as well as backwards in time with the goal of enabling the numerical reconstruction of the source of the tumour given an image (or similar data) at a later stage in time of the tumour. READ MORE