An analytical solution to the kinetics of breakable filament assembly

Area of Science:

• Biophysics
• Molecular Biology
• Biochemistry

Background:

• Filamentous molecular structures, such as amyloid fibrils, are implicated in various biological processes and diseases.
• Understanding the kinetics of self-assembly is crucial for deciphering disease mechanisms and developing therapeutic strategies.

Purpose of the Study:

• To provide an analytical treatment of coupled kinetic equations governing filamentous molecular self-assembly.
• To investigate the role of primary versus secondary nucleation in protein aggregation, specifically amyloid growth.
• To identify general features and scaling laws in the growth kinetics of fragmenting filamentous structures.

Main Methods:

• Analytical treatment of coupled kinetic equations.
• Application of the model to protein aggregation, focusing on amyloid growth kinetics.
• Analysis of fragmenting filamentous structures and identification of scaling laws.

Main Results:

• The kinetics of amyloid growth are frequently dominated by secondary nucleation events over primary nucleation.
• Identified general features characterizing the growth kinetics of fragmenting filamentous structures.
• Revealed the existence of generic scaling laws applicable to diverse systems.

Conclusions:

• Secondary nucleation plays a critical role in amyloid fibril formation.
• The derived scaling laws offer mechanistic insights into in vitro and in vivo filamentous growth.
• This framework is applicable to understanding diseases such as mammalian prion diseases.