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Updated: May 13, 2026

Characterization of pH-Dependent Reversible Self-Assembly of Amyloid Beta 1-40-Coated Gold Colloids
Published on: March 21, 2025
Simple moment-closure model for the self-assembly of breakable amyloid filaments
1Zhou-Pei Yuan Center for Applied Mathematics, Tsinghua University, Beijing, P R China. zcamhl@tsinghua.edu.cn
Abstract:
In this work, we derive a simple mathematical model from mass-action equations for amyloid fiber formation that takes into account the primary nucleation, elongation, and length-dependent fragmentation. The derivation is based on the principle of minimum free energy under certain constraints and is mathematically related to the partial equilibrium approximation. Direct numerical comparisons confirm the usefulness of our simple model. We further explore its basic kinetic and equilibrium properties, and show that the current model is a straightforward generalization of that with constant fragmentation rates.
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