A morphogen gradient is defined as a concentration field of a molecule that acts as a dose-dependent regulator of cell differentiation. One of the key questions in studies of morphogen gradients is whether they reach steady states on timescales relevant for developmental patterning. We propose a systematic approach for addressing this question and illustrate it by analyzing several models that account for diffusion and degradation of locally produced chemical signals. © 2010 by the Biophysical Society.
Berezhkovskii, A. M., Sample, C., & Shvartsman, S. Y. (2010). How long does it take to establish a morphogen gradient? Biophysical Journal, 99(8). https://doi.org/10.1016/j.bpj.2010.07.045