Bjerknes M
Department of Anatomy, University of Toronto, Ontario, Canada.
J Theor Biol. 1994 Jun 21;168(4):349-65. doi: 10.1006/jtbi.1994.1115.
It is shown that a simple Galton-Watson branching process model of the stem-cell pool in intestinal crypts is not simultaneously consistent with observations of the dynamics of replacement of normal by mutant crypt stem cells and other observations which put limits on the probability of crypt loss through extinction of all stem cells. This is because the limits on extinction probability forces the probability that a stem-cell division yields only non-stem cells to be small, but such a small probability makes it unlikely that a mutant stem-cell clone would expand while the normal stem-cell clones decay (it is more likely that both normal and mutant clones persist). It is suggested that the fundamental assumptions of independence and constancy of stem-cell behavior are flawed.
研究表明，肠道隐窝中干细胞池的简单高尔顿 - 沃森分支过程模型，与正常隐窝干细胞被突变干细胞替代的动力学观测结果以及其他对因所有干细胞灭绝导致隐窝丢失概率施加限制的观测结果，并非同时一致。这是因为灭绝概率的限制迫使干细胞分裂仅产生非干细胞的概率很小，但如此小的概率使得突变干细胞克隆在正常干细胞克隆衰退时扩张的可能性不大（正常和突变克隆更有可能同时持续存在）。有人提出，干细胞行为的独立性和恒定性这些基本假设存在缺陷。
