Scale invariance in early embryonic development

Abstract

The body plan of the fruit fly is determined by the expression of just a handful of genes. We show that the spatial patterns of expression for several of these genes scale precisely with the size of the embryo. Concretely, discrete positional markers such as the peaks in striped patterns have absolute positions along the anterior-posterior axis that are proportional to embryo length, with better than 1% accuracy. Further, the information (in bits) that graded patterns of expression provide about position can be decomposed into information about fractional or scaled position and information about absolute position or embryo length; all of the available information is about scaled position, again with ~1% accuracy. These observations suggest that the underlying genetic network exhibits scale invariance in a deeper mathematical sense. Taking this mathematical statement seriously requires that the network dynamics have a zero mode, which connects to many other observations on this system.

References in corpus (7)

• Optimal decoding of information from a genetic network
• Morphogenesis at criticality?
• Embryonic Pattern Scaling Achieved by Oppositely Directed Morphogen Gradients
• Finding the center reliably: robust patterns of developmental gene expression
• Precise and scalable self-organization in mammalian pseudo-embryos
• Finding the last bits of positional information
• Scale invariance in early embryonic development

Cited by in corpus (3)

• Scale invariance in early embryonic development
• Weak transcription factor clustering at binding sites can facilitate information transfer from molecular signals
• Stable developmental patterns of gene expression without morphogen gradients