Mechanisms for split localization of Fgf10 expression in early lung development

In early lung development, epithelial tubes (lung buds) intrude into mesenchyme covered with pleural cells (lung border), and form tree-like networks, by means of repeated use of morphogenetic processes: "elongation," "terminal bifurcation," and "lateral budding." When a bud is elongating, a peak of Fgf10 expression is formed in the mesenchyme near the tip; whereas when terminal bifurcation and lateral budding occur, two separate peaks are formed instead. To explain the spatial pattern of Fgf10 expression, we developed a mathematical model for the regulation of Fgf10 expression with geometrical conditions including shapes of the lung buds and the lung border. Different localization patterns of Fgf10 expression can be explained by the geometrical conditions. Fgf10 expression has a single peak when a length between the tip of lung bud and the lung border is large. When the length is small, Fgf10 expression has two peaks, whose location depends on the curvature of lung border.