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During the application of mass-action equation models to the study of amyloidfiber formation, time-consuming numerical calculations constitute a majorbottleneck when no analytical solution is available. To conquer thisdifficulty, here an alternative efficient method is introduced for thefragmentation-only model. It includes two basic steps: (1) simulateclose-formed time-evolution equations for the number concentration P(t) derivedfrom the moment-closure method; (2) reconstruct the detailed fiber lengthdistribution based on the knowledge of moments obtained in the first step.Compared to direct solution, current method speeds up the calculation by atleast ten thousand times. The accuracy is also quite satastifactory if suitableforms of approximate distribution fucntion is taken. Further application toPI264-b-PFS48 micelles study performed by Guerin et al. confirms our method isvery promising for the real-time analysis of the experimental data on fiberfragmentation.

Modeling Fibril Fragmentation in Real-Time