English

Combinatorial protein-protein interactions on a polymerizing scaffold

Quantitative Methods 2020-03-06 v1

Abstract

Scaffold proteins organize cellular processes by bringing signaling molecules into interaction, sometimes by forming large signalosomes. Several of these scaffolds are known to polymerize. Their assemblies should therefore not be understood as stoichiometric aggregates, but as combinatorial ensembles. We analyze the combinatorial interaction of ligands loaded on polymeric scaffolds, in both a continuum and discrete setting, and compare it with multivalent scaffolds with fixed number of binding sites. The quantity of interest is the abundance of ligand interaction possibilities---the catalytic potential QQ---in a configurational mixture. Upon increasing scaffold abundance, scaffolding systems are known to first increase opportunities for ligand interaction and then to shut them down as ligands become isolated on distinct scaffolds. The polymerizing system stands out in that the dependency of QQ on protomer concentration switches from being dominated by a first order to a second order term within a range determined by the polymerization affinity. This behavior boosts QQ beyond that of any multivalent scaffold system. In addition, the subsequent drop-off is considerably mitigated in that QQ decreases with half the power in protomer concentration than for any multivalent scaffold. We explain this behavior in terms of how the concentration profile of the polymer length distribution adjusts to changes in protomer concentration and affinity. The discrete case turns out to be similar, but the behavior can be exaggerated at small protomer numbers because of a maximal polymer size, analogous to finite-size effects in bond percolation on a lattice.

Keywords

Cite

@article{arxiv.1907.11533,
  title  = {Combinatorial protein-protein interactions on a polymerizing scaffold},
  author = {Andrés Ortiz-Muñoz and Héctor F. Medina-Abarca and Walter Fontana},
  journal= {arXiv preprint arXiv:1907.11533},
  year   = {2020}
}
R2 v1 2026-06-23T10:31:55.843Z