FIGURE

Figure 1.

ID

ZDB-FIG-210927-31

Publication

Song et al., 2021 - Cost-precision trade-off relation determines the optimal morphogen gradient for accurate biological pattern formation

Other Figures

All Figure Page

Back to All Figure Page

Figure 1.

Positional information transfer by the morphogen gradient.

(Top) The specification of the anterior region of the fruit fly embryo. The uniformly distributed nuclei (gray circles) are subjected to different concentrations of the morphogen (red dots) in the local environment, which leads to the anterior expression of the target gene (blue shade). (Bottom) The red and blue lines respectively depict the morphogen profile, $ρ (x)$ $ρ (x)$ , and the target gene expression, $g (x)$ $g (x)$ , which together specify cell fate. The squared positional error at the boundary $x_{b}$ $x_{b}$ , $σ_{x}^{2} (x_{b})$ $σ_{x}^{2} (x_{b})$ , is defined as the product between the variance of the morphogen concentration, $σ_{ρ}^{2} (x_{b})$ $σ_{ρ}^{2} (x_{b})$ , and the squared inverse slope of the morphogen profile, ${(\partial_{x} ρ (x))}_{x = x_{b}}^{- 2}$ ${(\partial_{x} ρ (x))}_{x = x_{b}}^{- 2}$ .

Expression Data

Expression Detail

Antibody Labeling

Phenotype Data

Phenotype Detail

Acknowledgments

This image is the copyrighted work of the attributed author or publisher, and ZFIN has permission only to display this image to its users. Additional permissions should be obtained from the applicable author or publisher of the image. Full text @ Elife