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| 2022

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 55103 (02)
  4. University: Sharif University of Technology
  5. Department: Mathematical Sciences
  6. Advisor(s): Fotouhi Firouzabadi, Morteza
  7. Abstract:
  8. A typical problem in applied mathematics and science is to estimate the future state of a dynamical system given its current state. One approach aimed at understanding one or more aspects determining the behavior of the system is mathematical modeling. This method frequently entails formulation of a set of equations, usually a system of partial or ordinary differential equations. Model parameters are then measured from experimental data or estimated from computer simulation or other methods. Solutions to the model are then studied through mathematical analysis and numerical simulation usually for qualitative fit to the dynamical system of interest and any relative time-series data that is available. Data assimilation is the application of measurements to improve model performance and results. In today's world, medical images are used as a powerful tool in diagnosing diseases. One of the most common of them is Magnetic resonance imaging (MRI) to diagnose brain tumors by a radiologist. The purpose of processing brain images is to quantify the properties of these images. In this thesis, we study the Scalable Integrated Biophysics-based Image Analysis which can be used for a large class of data assimilation
  9. Keywords:
  10. Magnetic Resonance Imagin (MRI) ; Data Assimilation ; Scalable Image Registration ; Bio-Physics Based Image Analysis ; Brain Tumor ; Medical Images

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