Size Regulation in the Segmentation ofDrosophila: Interacting Interfaces between Localized Domains of Gene Expression Ensure Robust Spatial Patterning

We propose a new mechanism for robust biological patterning. The mechanism bears analogy to interface dynamics in condensed media. We apply this method to study how gene networks control segmentation of Drosophila. The proposed model is minimal involving only 4 genes and a morphogen gradient. We discuss experimental data for which developmental genes are expressed within domains spatially limited by kinks (interfaces) and the gene interaction scheme contains both weak and strong repulsion. We show how kink-kink interactions can be calculated from the gene interactions and how the gene interaction scheme ensures the control of proportions (size regulation).