Simulation Study for a Fractal Model for Tumor

• Main Authors: Gao, Yu-Ting, 高于婷
• Other Authors: Wang, Mei-Chuan
• Format: Others
• Language: en_US
• Published: 2016
• Online Access: http://ndltd.ncl.edu.tw/handle/35329795271473373250

碩士 === 臺北市立大學 === 數學系數學教育碩士班 === 104 === Our study will provide a theoretical support for Tsai, Wang, Lo, Chou, & Hsieh (2012) and give our numerical analysis and graphics, including that two examples are for the normal location x at time t; and two examples are for the spatial location at time and then gives some examples and graphs of simulation for the parameters α and β in the model by using EXCEL and Maple, respectively. Also, we provide the algorithms for 3-dimensional plots by Maple. They can be a technical example for the people whom are interesting in learning Maple. Finally, we find the two plots, Figure 6 of Case 5 and Figure 7 of Case 6 in Example 2, give a good support for the results in Tsai et al. (2012) that "tumor self-seeding" gradually decreased with increased tumor size. The positional probability in the fractal framework helped us decipher tumor spatiotemporal dynamics. The 3D-fractal model is a convenient model of tumor for practice.