  During the application of mass-action equation models to the study of amyloid
fiber formation, time-consuming numerical calculations constitute a major
bottleneck when no analytical solution is available. To conquer this
difficulty, here an alternative efficient method is introduced for the
fragmentation-only model. It includes two basic steps: (1) simulate
close-formed time-evolution equations for the number concentration P(t) derived
from the moment-closure method; (2) reconstruct the detailed fiber length
distribution based on the knowledge of moments obtained in the first step.
Compared to direct solution, current method speeds up the calculation by at
least ten thousand times. The accuracy is also quite satastifactory if suitable
forms of approximate distribution fucntion is taken. Further application to
PI264-b-PFS48 micelles study performed by Guerin et al. confirms our method is
very promising for the real-time analysis of the experimental data on fiber
fragmentation.
