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. 2021 May 26;10:e54894. doi: 10.7554/eLife.54894
Parameter Description Value Intuition for value Reference
λN Nodal source production rate 4e-5 μM/sec ~15 Nodal ligand molecules/min -
DN Free Nodal diffusion rate 30 μm2/sec MSD of ~ 650 μm after 2 hr Müller et al., 2012
k1 Nodal-Receptor association rate 10/μM*sec Mean time to capture of ~ 2 s at initial Oep concentration De Crescenzo et al., 2003
k-1 Nodal-Receptor dissociation rate 6.25e-4/sec Mean time to dissociation of 25 min De Crescenzo et al., 2003
k3 Receptor production rate 1.6e-5 μM/sec Approximately 0.7 molecules/sec produced by a cell of 10 μm diameter -
k-R Receptor internalization rate 2.7e-4/sec Average lifetime of 1 hr -
kre Receptor recycling rate 8.3e-4/sec Average residence of ~ 20 min in endosome before recycling to membrane -
klys Lysosomal trafficking rate 8.9e-05 Average residence time of ~ 3 hr in endosome before clearance -
F Factor increase in clearance rate 10 Activated receptors reside in endosome for ~ 20 min before clearance -
N(x,t = 0) Free ligand initial condition 0 μM for all x Embryo starts out with no Nodal. -
R(x,t = 0) Free receptor initial condition 0.06 μM for all x Approximately 2900 molecules for a cell of 10 μm diameter Dyson and Gurdon, 1998
C(x,t = 0) Nodal-Receptor complex initial condition 0 μM for all x Embryo starts out with no receptor-ligand complexes. -