# An Accurate Numerical Solution to the Kinetics of Breakable Filament Assembly

Source: [An Accurate Numerical Solution to the Kinetics of Breakable Filament Assembly](<https://www.sota2.com/research/paper/68fa29751e209131ce834074>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T12:53:15.016Z

Authors: Barry D. Ganapol

Published: 2010-06-15T16:12:40.000Z

## Abstract

Proteinaceous aggregation occurs through self-assembly-- a process not entirely understood. In a recent article \[1\], an analytical theory for amyloid fibril growth via secondary rather than primary nucleation was presented. Remarkably, with only a single kinetic parameter, the authors were able to unify growth characteristics for a variety of experimental data. In essence, they seem to have uncovered the underlying allometric laws governing the evolution of filament elongation simply from two coupled non-linear ordinary differential equations (ODEs) stemming from a master equation. While this work adds significantly to our understanding of filament self-assembly, it required an approximate analytical solution representation. Here, we show that the same results are found by purely numerical means once a straightforward and reliable numerical solution to the set of ODEs has been established.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1006.3022>)

[PDF](<https://arxiv.org/pdf/1006.3022.pdf>)