The Two-Species Logistic Growth-Transition model and the Discussion of Its Biological Application: A Mathematical Model of Heterogeneous Cancer Growth with Autocrine Signaling Pathway

• Main Authors: Chih-Yuan Lee, 李致遠
• Other Authors: Yih-Yuh Chen
• Format: Others
• Language: en_US
• Published: 2012
• Online Access: http://ndltd.ncl.edu.tw/handle/12560479017310280317

碩士 === 國立臺灣大學 === 物理研究所 === 100 === In this thesis, I and my senior colleague, Dr. Geng-Ming Hu, develop a biological mathematical model in which the mathematical essence is derived from the paper “Transcriptome-wide noise controls lineage choice in mammalian progenitor cells”. At first, we want to find out some interesting mathematical characteristics such as limiting cycle, but we find that it’s almost impossible to do so. Then when we research associated biological model, we find that our model may have better biological and mathematical interpretation than other models and that our model could fit well with cancer stem cell hypothesis and associated experimental data. Thus we develop our own model with its new biological essence and use it to make excellent fit with associated experimental data. Part of our research is being published in Cell Proliferations under the title “A Mathematical Model of Heterogeneous Cancer Growth with Autocrine Signaling Pathway.”