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Updated: May 15, 2026

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Published on: March 21, 2025
A lattice-gas model for amyloid fibril aggregation
Liu Hong1, Xianghong Qi, Yang Zhang
1Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University - Beijing, 100084, PRC ; Center for Computational Medicine and Bioinformatics, University of Michigan - 100 Washtenaw Ave., Ann Arbor, MI 48109, USA.
Summary
This study proposes a lattice-gas model to understand amyloid fibril formation. The model accurately predicts filament formation and concentration, offering insights into nucleation and elongation effects.
Area of Science:
- Biophysics
- Computational Biology
- Materials Science
Background:
- Amyloid fibril formation is a complex process implicated in various diseases.
- Understanding the fundamental mechanisms of fibril assembly is crucial for therapeutic development.
Purpose of the Study:
- To develop a simple lattice-gas model for simulating amyloid fibril formation.
- To investigate the influence of nucleation and elongation effects on fibril assembly kinetics.
Main Methods:
- Analytical solution and Monte Carlo simulations of a 1D lattice-gas system.
- Exploration of parameter dependencies including initial protein concentration, critical nucleus size, and nucleation/elongation strengths.
- Simulation on a 2D lattice to assess the necessity of filament thickening.
Main Results:
- The model accurately predicts mass concentration, number concentration, and lag-time of amyloid filaments based on initial conditions and kinetic parameters.
- Filament thickening was found to be non-essential for modeling amyloid filaments in 2D simulations.
- Quantitative agreement was observed with a previously proposed kinetic model (Knowles et al.) for mass fraction, with improved prediction for number fraction at higher elongation strengths.
Conclusions:
- The proposed lattice-gas model provides a robust framework for understanding amyloid fibril formation mechanisms.
- The model's ability to accurately predict filament characteristics highlights the importance of nucleation and elongation effects.
- This work offers a valuable computational tool for studying amyloid aggregation and potentially designing interventions.
Related Concept Videos
Amyloid Fibrils
Amyloid fibrils are aggregates of misfolded proteins. Under most circumstances, misfolded proteins are either refolded by chaperone proteins or degraded by the proteasome. However, in the case of a mutation or a disease, these proteins can accumulate to form large clusters and often further assemble to form elongated fibers, called fibrils.
Amyloid deposits were observed as early as 1639 in the liver and the spleen. In 1854, Rudolph Virchow performed iodine staining, normally used to...
Amyloid deposits were observed as early as 1639 in the liver and the spleen. In 1854, Rudolph Virchow performed iodine staining, normally used to...
Amyloid Fibrils
Amyloid fibrils are aggregates of misfolded proteins. Under most circumstances, misfolded proteins are either refolded by chaperone proteins or degraded by the proteasome. However, in the case of a mutation or a disease, these proteins can accumulate to form large clusters and often further assemble to form elongated fibers, called fibrils.
Amyloid deposits were observed as early as 1639 in the liver and the spleen. In 1854, Rudolph Virchow performed iodine staining, normally used to...
Amyloid deposits were observed as early as 1639 in the liver and the spleen. In 1854, Rudolph Virchow performed iodine staining, normally used to...
