Figure 4.

Kinetics of the Smoluchowski model. The Smoluchowski model has n unknowns c_i, one for the concentration of each size i = 1, …, n, where c₁ represents the concentration of healthy monomers. The model produces healthy protein at a rate k₀, clears healthy and misfolded protein at rates k₁ and k_i, nucleates two misfolded proteins from two healthy proteins at a rate κ, aggregates by adding single healthy proteins to misfolded filaments at a rate a, and fragments misfolded filaments at a rate f. (Online version in colour.)