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مدلی تصادفی برای بررسی ویژگی های هندسی تومور سرطانی
میرابوطالبی، محمدحسین Miraboutalebi, Mohamad Hosein
- Type of Document: M.Sc. Thesis
- Language: Farsi
- Document No: 51979 (02)
- University: Sharif University of Technology
- Department: Mathematical Sciences
- Advisor(s): Foroughmand Arabi, Mohamad Hadi; Alishahi, Kasra
- Abstract:
- Cancer can be defined as a stochastic phenomenon. Thus, the tumor growth can be defined as a stochastic process. A Cancer tumor can be analyzed by its geometric shape. Furthermore, computing fractal dimension of shapes is a useful technique to analyze chaosity and complexity of shapes. This approach can be used to compare results from laboratory with simulated results of a mathematical model. A stochastic model of tumor growth will be presented. And some geometrical properties will be analyzed through computer simulation of the model
- Keywords:
- Cancer ; Tumors ; Stochastic Process ; Fractal Dimension ; Stochastic Geometry
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