Kinetic Model for Two-Step Nucleation of Peptide Assembly

Intermediate dynamic assemblies are increasingly seen as necessary for the initial desolvation and organization of biomaterials to achieve their final crystalline order. Here we present a general peptide assembly model for two-step nucleation. The model predicts the phase transitions and equilibria between different phases by employing a combination of the Flory-Huggins parameter, the particle growth constant, and the binding energy to assemblies. Monte Carlo simulations are used to demonstrate how the system evolves from pure solution phases to the final thermodynamic assembly phase via an intermediate metastable particle phase. The final state of the system is determined by the solubility of the particle and assembly phases, where the phase with the lower solubility accumulates. A rare three-phase equilibrium exists when the solubilities of the particles and assemblies are similar. Experimental support for this model is achieved with assembly of the amyloid peptide Ac-KLVFFAE-NH₂ (Aβ(16-22)) in mixed acetonitrile/water systems. Increasing the acetonitrile concentration decreases the number of particles, increases the particle size, and accelerates the assembly rate, all consistent with acetonitrile increasing the Aβ(16-22) peptide's solubility of particles but with little influence on the stability of the assemblies. Taken together, our model captures the transition from the metastable particle phase to the higher order peptide assembly through two-step nucleation.