Two-stage Stochastic Model for Carcinogenesis and An Approach to Computing the Number of Observing Tumors

• Main Authors: Shyu, Wei Chiun, 徐偉鈞
• Other Authors: Lee, Chin San
• Format: Others
• Language: en_US
• Published: 1994
• Online Access: http://ndltd.ncl.edu.tw/handle/84132385144044276092

碩士 === 國立中山大學 === 應用數學研究所 === 82 === Based on a two-stage stochastic model, we assume that the forming of an initiated cell from normal cells and the transformation of a malignant cell from initiated cells follow nonhomogeneous Poisson Process and all the cells ( normal, initiated and malignant) are growing and dying according to a birth and death process. We derive the expected number of observable tumors in both cases where we either assume that a primary initiated cell and its descendants stay within the same clone and that at most one tumor in each clone can be observed or assume that a primary initiated cell may produce many primary malignant cells and each primary malignant cell is clone to itself and its descendants.