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Coordination of Cell Differentiation and Migration in Mathematical Models of Caudal Embryonic Axis Extension

Figure 2

Stationary concentration profiles of A-mRNA and its corresponding protein in one-dimensional model of a migrating DoT.

The solid red line denotes the concentration of A-mRNA along the embryo's axis while the dashed red line denotes the concentration of protein A. A-mRNA is produced in the DoT, i.e. in the red hatched area which has a preset size and moves to the right (the x-coordinate points to the posterior side) with speed c. Production of protein A is proportional to the level of A-mRNA. The schematic gene regulatory network diagram explaining the underlying molecular model is also presented. The detailed description of the model is given in the Materials and Methods Section. Here we presume that the DoT is located in the segment (420, 455) of the medium of total size 600 (space units) and moves with speed c = 0.015 to the right. Other parameters: k1 = 0.0003, k2 = 0.00025, k3 = 0.0005, D2 = 0.5.

Figure 2

doi: https://doi.org/10.1371/journal.pone.0022700.g002