Korn R W
Department of Biology, Bellarmine University, Louisville, KY 40205, USA.
Cell Prolif. 2008 Aug;41(4):691-708. doi: 10.1111/j.1365-2184.2008.00526.x. Epub 2008 Apr 23.
Extensive mathematical studies have been made on cell clone development but little has been advanced in the mathematics of small clone formation and virtually no actual data of small clone size has been collected.
Small clone sizes in leaf marginal cells of the aquatic plant Elodea and aleurone spot sizes in the grain of Zea were counted for later statistical analyses of mean, variance and probability distribution frequencies.
Simple mathematical models were developed and their calculated results are comparable to data collected on actual plant clones. The parameters in these models were original cell size (s(0)), growth rate (T), duration of growth (t) and cell division inequality (i).
Given T and t, the critical parameter is s(0). Plant tissue is ideal material to collect data on clone development because growth rate is uniform across a tissue and cells remain in place, so clone size can be measured, unlike microbes and animal cells that have neither feature. In the light of the results, traditional methods for calculating cell cycle duration and mutation rate are questioned. The applications of these plant features to studies on animal cell populations are discussed.
关于细胞克隆发育已开展了大量数学研究，但在小克隆形成的数学方面进展甚微，而且几乎没有收集到小克隆大小的实际数据。
对水生植物伊乐藻叶片边缘细胞的小克隆大小以及玉米籽粒糊粉层斑点大小进行计数，以便随后对均值、方差和概率分布频率进行统计分析。
建立了简单的数学模型，其计算结果与实际植物克隆所收集的数据具有可比性。这些模型中的参数为原始细胞大小（s(0)）、生长速率（T）、生长持续时间（t）和细胞分裂不均等性（i）。
给定T和t，关键参数是s(0)。植物组织是收集克隆发育数据的理想材料，因为整个组织的生长速率是均匀的，且细胞保持原位，所以可以测量克隆大小，这与微生物和动物细胞不同，它们不具备这些特征。根据这些结果，对计算细胞周期持续时间和突变率的传统方法提出了质疑。讨论了这些植物特征在动物细胞群体研究中的应用。
