Pattern formation by reaction-diffusion instabilities: Application to morphogenesis in Drosophila

摘要: Kauffman, Shymko & Trabert (1978) have presented a model for sequentialcompartment formation in Drosophila wing disks based upon reactiondiffusion instabilities on an elliptical the disk. Using numerical methods we explored properties of this using more accurate representation shape disk and other embryonic structures. The nodal lines successive eigenfunctions these domains differ significantly both form order from compartmental experimentally observed are very sensitive to domain. Kauffman coworkers is linear. We present particular non-linear reaction-diffusion which produces different patterns. It appears be characteristic models that priori prediction sequence patterns resulting given parameters impossible. generated by instability generally quite changes domain physical-chemical parameter values. This sensitivity makes it difficult imagine how pattern could maintained face normal biological variation. conclude use aspect morphogenesis interesting speculation, but one whose validity will demonstrate convincingly.