Dynamics of binding three independent ligands to a single scaffold

TL;DR

This paper analyzes the binding dynamics of three independent ligands to a single scaffold, demonstrating unique, stable steady states and exploring how the fully bound complex depends on total scaffold concentration.

Contribution

It introduces a mathematical analysis of the steady states and stability in a three-ligand binding system, relevant for immunotherapy and synthetic biology.

Findings

Unique steady states in each conservation class

Steady states are asymptotically stable

Dependence of fully bound complex on total scaffold

Abstract

This note considers a system in which three ligands can independently bind to a scaffold. Such systems arise in diverse applications, including immunotherapy and synthetic biology. It is shown that there are unique steady states in each conservation class, and these are asymptotically stable. The dependency of the steady-state amount of fully bound complex, as a function of total scaffold, is analyzed as well.