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Updated: Jan 20, 2026
10:26
Monitoring Cell-to-cell Transmission of Prion-like Protein Aggregates in Drosophila Melanogaster
Published on: March 12, 2018
8.4K
A bi-monomeric, nonlinear Becker-Döring-type system to capture oscillatory aggregation kinetics in prion dynamics
Marie Doumic1, Klemens Fellner2, Mathieu Mezache3
1Sorbonne Universités, Inria, Université Paris-Diderot, CNRS, Laboratoire Jacques-Louis Lions, Paris F-75005, France; Wolfgang Pauli Institute, C/O University of Vienna, Austria.
Journal of Theoretical Biology
|August 17, 2019
Summary
This study introduces a mathematical model for protein aggregation kinetics, revealing how specific reaction pathways can generate damped oscillations. The findings offer insights into the dynamic behavior of protein aggregation processes.
Area of Science:
- Biophysics
- Chemical Kinetics
- Mathematical Biology
Background:
- Protein aggregation is implicated in various diseases.
- Understanding the dynamics of protein aggregation is crucial for therapeutic development.
- Observed oscillations in protein aggregation experiments require mechanistic explanation.
Purpose of the Study:
- To propose and mathematically analyze a differential system for protein aggregation kinetics.
- To investigate the origins of oscillations observed in protein aggregation.
- To model reaction kinetics with finite or infinite n.
Main Methods:
- Mathematical modeling using differential equations.
- Analysis of a modified Becker-Döring system.
- Kinetic analysis of protein aggregation reactions.
Main Results:
- A novel differential system capable of exhibiting oscillations was developed.
- The system demonstrates sustained though damped oscillations.
- The model provides a mathematical framework for observed kinetic behaviors.
Conclusions:
- The proposed model successfully explains the appearance of oscillations in protein aggregation.
- This work offers a theoretical basis for understanding dynamic protein aggregation phenomena.
- The findings contribute to the mechanistic understanding of protein aggregation kinetics.
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