# Probing the Mechanisms of Fibril Formation Using Lattice Models

Source: [Probing the Mechanisms of Fibril Formation Using Lattice Models](<https://www.sota2.com/research/paper/68fa5e9a1e209131ce9e3bc6>)

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

Data updated: 2025-10-28T13:56:18.930Z

Authors: Mai Suan Li, D. K. Klimov, J. E. Straub, D. Thirumalai

Published: 2008-12-06T10:36:28.000Z

## Abstract

Using exhaustive Monte Carlo simulations we study the kinetics and mechanism of fibril formation using lattice models as a function of temperature and the number of chains. While these models are, at best, caricatures of peptides, we show that a number of generic features thought to govern fibril assembly are present in the toy model. The monomer, which contains eight beads made from three letters (hydrophobic, polar, and charged), adopts a compact conformation in the native state. The kinetics of fibril assembly occurs in three distinct stages. In each stage there is a cascade of events that transforms the monomers and oligomers to ordered structures. In the first "burst" stage highly mobile oligomers of varying sizes form. The conversion to the aggregation-prone conformation occurs within the oligomers during the second stage. As time progresses, a dominant cluster emerges that contains a majority of the chains. In the final stage, the aggregation-prone conformation particles serve as a template onto which smaller oligomers or monomers can dock and undergo conversion to fibril structures. The overall time for growth in the latter stages is well described by the Lifshitz-Slyazov growth kinetics for crystallization from super-saturated solutions.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0812.1274>)

[PDF](<https://arxiv.org/pdf/0812.1274.pdf>)
