Author | Macken, Catherine A. author |
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Title | Stem Cell Proliferation and Differentiation [electronic resource] : A Multitype Branching Process Model / by Catherine A. Macken, Alan S. Perelson |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1988 |
Connect to | http://dx.doi.org/10.1007/978-3-642-93396-7 |
Descript | VIII, 113 p. online resource |
1. Introduction -- 2. A Multitype Branching Process Model -- 2.1 Probability Generating Functions -- 2.2 Moments -- 2.3 Modeling Unknown Types of Colony Initiating Cells -- 3. Characterization of Colony Growth with Time -- 3.1 Total Colony Size After n Generations -- 3.2 Probability of Completion of Growth -- 3.3 Stem Cell Growth -- 4. Colonies Reaching Completion -- 4.1 Number of Generations to Completion -- 4.2 Colony Size at Completion -- 5. Colonies Growing without Bound -- 5.1 Asymptotic Proportions of Cell Types in Colonies with an M-Cell Parent -- 5.2 Asymptotic Proportions of Cell Types in Colonies with an S-Cell Parent -- 6. Critical Processes -- 7. Results -- 7.1 Parameter Estimation -- 7.2 Total Colony Size After n Generations -- 7.3 Completion of Growth -- 7.4 Size at Completion of Growth -- 7.5 Asymptotic Proportion of Each Cell Type -- 8. Conclusions and Extensions -- Appendices -- B. Estimation of Branching Probabilities -- References