Matela R J, Ransom R, Bowles M A
J Theor Biol. 1983 Aug 7;103(3):357-78. doi: 10.1016/0022-5193(83)90292-8.
A new method for modelling cell division is reported which uses a cellular representation based on graph theory. This allows us to model the adjacencies of non-regular dividing cells accurately, avoiding the rigid geometrical constraints present in earlier simulations. We use this system to simulate compartment boundary maintenance in the Drosophila wing imaginal disc. We show that a boundary of minimum length between two growing polyclones of cells could depend on sorting between cells in the different polyclones. We also investigate the response of the model to differential cell division rates within polyclones. This is the first demonstration that cell sorting can generate a smooth boundary in a dividing cell mass. We suggest that biological analogs of our computer sorting rules are responsible for the similar straight polyclone borders seen in the real wing disc. A possible strategy for showing the existence of these analogs is also given.
报道了一种用于模拟细胞分裂的新方法，该方法使用基于图论的细胞表示法。这使我们能够准确地模拟非规则分裂细胞的邻接关系，避免了早期模拟中存在的严格几何约束。我们使用这个系统来模拟果蝇翅成虫盘的隔室边界维持。我们表明，两个生长中的细胞多克隆之间的最小长度边界可能取决于不同多克隆中细胞之间的分选。我们还研究了该模型对多克隆内不同细胞分裂速率的响应。这是首次证明细胞分选可以在分裂的细胞团中产生光滑的边界。我们认为，我们计算机分选规则的生物学类似物是导致在真实翅成虫盘中看到类似笔直多克隆边界的原因。还给出了一种显示这些类似物存在的可能策略。
