Fig. 7. Mathematical model for the interaction between ALK1, ALK2, and ADMP. a Model design: ADMP can diffuse, degrade, or bind ALK1 or ALK2 receptor. The occupied receptors then induce (ADMP/ALK2) or repress (ADMP/ALK1) the expression of ADMP and other organizer genes. ADMP is degraded after binding the receptor, and the receptor is recycled back to the surface. b Size of the organizer induction domain at the end of simulation, t = 1 h, as a function of ADMP flux relative to its size for the reference parameter set where ADMP flux is 1 μmnM s–1. The organizer size is robust to ADMP flux in the dual receptor model where ALK1 represses organizer induction (black circles), while size is sensitive and continues to increase in a model that does not include ADMP/ALK1-mediated organizer repression (red circles). c, d Heat map of the organizer induction domain (θ), where 1 denotes full induction, and 0 no induction in the two-receptor model (c) and in a classic morphogen model, with no repression by ADMP/ALK1 (d). X axis denotes position along the dorsoventral axis, dashed vertical gray line denotes the steady state organizer induction domain. Y axis denotes time. tsteady is the time when steady state organizer induction is achieved in the two-receptor model (c). The organizer induction domain does not reach steady state in the simulation time in the absence of ADMP/ALK1 repression (d)
Image published in: Leibovich A et al. (2018)
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