Fig. 1. Morphogen gradient formation in the presence of cell-to-cell
variability. (A) Cellular individuality in the wing disk. The
stochastic concentrations of intracellular and extracellular molecules and
different cell shapes affect morphogen transport and degradation,
independently of the transport mechanism. (B) Gradient formation in a
simplified geometry. Concentration profiles for constant (left) or fluctuating
(right) morphogen influx j, effective D and k.
Average cell diameter, a. (C) One-dimensional lattice model of
the scenarios in A. The hopping rates
and
describe transport between cells n
and n+1. They fluctuate about their mean value p0
because of cell-to-cell variability, as indicated by arrows of different
widths. The degradation rate kn also fluctuates.