A Stochastic Model for Cancer Tumor Growth

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Miraboutalebi, Mohamad Hosein | 2018

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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