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arXiv · 1006.3022

An Accurate Numerical Solution to the Kinetics of Breakable Filament Assembly

Barry D. Ganapol
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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.

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Barry D. Ganapol. 2010-06-15. An Accurate Numerical Solution to the Kinetics of Breakable Filament Assembly. https://arxiv.org/abs/1006.3022

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