Two-stage Stochastic Model for Carcinogenesis and An Approach to Computing the Number of Observing Tumors
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 Proc...
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| Format: | Others |
| Language: | en_US |
| Published: |
1994
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| Online Access: | http://ndltd.ncl.edu.tw/handle/84132385144044276092 |
| Summary: | 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.
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