A mathematical model revealed both a large population of tubular cells with rapid cell cycling and cell loss in a slow cell cycling population during early cystogenesis (P9–P15).

<p>(a) EdU (24 h before)- and BrdU (3 h before)-labeled cells adjacently resided in the identical cross-sectioned tubule, suggesting that the adjacent cells including divided daughter cells re-entered cell-cycling with a different timing. (b) Hypothetical proliferation model of a multipopulation with probability of cellular loss in both RP (gray) and SP (black) and cell division in SP. All mathematical parameters used are described in <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0198580#pone.0198580.t002" target="_blank">Table 2</a>. (c) Mathematical simulation between the predicted proliferation rates and developmental days from P9 to P30 under the condition combined with various indicated probabilities from the initial population with 1 at day 0. Control and <i>inv</i>DC proliferative phenotype best fitting with experimental proliferation rates values at P9 and P15 (<a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0198580#pone.0198580.g001" target="_blank">Fig 1b</a>) and P30 (<a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0198580#pone.0198580.s002" target="_blank">S2 Fig</a>) are indicated as blue and red line, respectively.