Liebig's law of the minimum in the TGF-β/SMAD pathway

PLoS Comput Biol. 2024 May 16;20(5):e1012072. doi: 10.1371/journal.pcbi.1012072. eCollection 2024 May.

Abstract

Cells use signaling pathways to sense and respond to their environments. The transforming growth factor-β (TGF-β) pathway produces context-specific responses. Here, we combined modeling and experimental analysis to study the dependence of the output of the TGF-β pathway on the abundance of signaling molecules in the pathway. We showed that the TGF-β pathway processes the variation of TGF-β receptor abundance using Liebig's law of the minimum, meaning that the output-modifying factor is the signaling protein that is most limited, to determine signaling responses across cell types and in single cells. We found that the abundance of either the type I (TGFBR1) or type II (TGFBR2) TGF-β receptor determined the responses of cancer cell lines, such that the receptor with relatively low abundance dictates the response. Furthermore, nuclear SMAD2 signaling correlated with the abundance of TGF-β receptor in single cells depending on the relative expression levels of TGFBR1 and TGFBR2. A similar control principle could govern the heterogeneity of signaling responses in other signaling pathways.

MeSH terms

  • Cell Line, Tumor
  • Computational Biology
  • Humans
  • Models, Biological
  • Receptor, Transforming Growth Factor-beta Type I / genetics
  • Receptor, Transforming Growth Factor-beta Type I / metabolism
  • Receptor, Transforming Growth Factor-beta Type II / genetics
  • Receptor, Transforming Growth Factor-beta Type II / metabolism
  • Receptors, Transforming Growth Factor beta / metabolism
  • Signal Transduction*
  • Smad Proteins / metabolism
  • Smad2 Protein / metabolism
  • Transforming Growth Factor beta* / metabolism

Substances

  • Transforming Growth Factor beta
  • Receptor, Transforming Growth Factor-beta Type II
  • Receptor, Transforming Growth Factor-beta Type I
  • Smad2 Protein
  • Smad Proteins
  • TGFBR1 protein, human
  • Receptors, Transforming Growth Factor beta