Rhee Jerry, Nejad Talisa Mohammad, Comets Olivier, Flannery Sean, Gulsoy Emine Begum, Iannaccone Philip, Foster Craig
Lurie Children's Research Center, Developmental Biology Program and Department of Pediatrics, Feinberg School of Medicine, Northwestern University, Chicago, IL.
Department of Civil and Materials Engineering, University of Illinois at Chicago, Chicago, IL.
Complexity. 2015 Jan-Feb;20(3):22-38. doi: 10.1002/cplx.21562.
Why do mouse corneal epithelial cells display spiraling patterns? We want to provide an explanation for this phenomenon by applying an idealized problem solving process. Specifically, we applied complementary line-fitting methods to measure transgenic epithelial reporter expression arrangements displayed on three mature, live enucleated globes to clarify the problem. Two prominent logarithmic curves were discovered, one of which displayed the ϕ ratio, an indicator of the optimal configuration in phyllotactic systems. We then utilized two different computational approaches to expose our current understanding of the behavior. In one procedure, which involved an isotropic mechanics-based finite element method, we successfully produced logarithmic spiral curves of maximum shear strain based pathlines but computed dimensions displayed pitch angles of 35° (ϕ spiral is ~17°), which was altered when we fitted the model with published measurements of coarse collagen orientations. We then used model-based reasoning in context of Peircean abduction to select a working hypothesis. Our work serves as a concise example of applying a scientific habit of mind and illustrates nuances of executing a common method to doing integrative science.
为什么小鼠角膜上皮细胞会呈现螺旋模式？我们希望通过应用理想化的问题解决过程来解释这一现象。具体而言，我们应用互补的线拟合方法来测量在三个成熟的、活的去核眼球上显示的转基因上皮报告基因表达排列，以阐明该问题。发现了两条显著的对数曲线，其中一条显示了ϕ比率，这是叶序系统中最佳配置的一个指标。然后，我们利用两种不同的计算方法来揭示我们目前对该行为的理解。在一个涉及基于各向同性力学的有限元方法的过程中，我们成功地生成了基于最大剪应变路径线的对数螺旋曲线，但计算出的尺寸显示螺距角为35°（ϕ螺旋约为17°），当我们用已发表的粗胶原纤维取向测量值拟合模型时，该角度发生了变化。然后，我们在皮尔士溯因推理的背景下使用基于模型的推理来选择一个可行的假设。我们的工作是应用科学思维习惯的一个简洁示例，并说明了执行综合科学常用方法的细微差别。
