What is it about?
This paper presents a mathematical model simulating how Lewy bodies grow inside neurons, which is a characteristic hallmark of Parkinson's disease. We hypothesized that a Lewy body forms in two distinct stages. First, a central core develops from accumulated cellular debris, such as lipid membrane fragments, damaged mitochondria, and lysosomes. Following the core's formation, a halo made of alpha-synuclein protein fibrils grows around it. We applied the Finke-Watzky mathematical model to translate these biological stages into equations, ultimately finding exact analytical solutions that predict the size and growth rates of both the core and the halo over time.
Featured Image
Photo by Marek Piwnicki on Unsplash
Why is it important?
Our work is unique because it is the first mathematical model specifically designed to simulate the growth of Lewy bodies. There has been a long-standing debate in the medical community about whether Lewy bodies are inherently cytotoxic to brain cells or if they actually protect neurons by removing unwanted species from the cytosol. Our model offers a novel framework to address this paradox. We suggest that the initial core formation is a protective process that safely bundles damaged cellular material, but the subsequent growth of the radiating protein halo prevents further core growth, ultimately cutting off the mechanism that safely removes broken intracellular material.
Perspectives
Writing this publication was a deeply rewarding experience, particularly because it allowed me to collaborate with Ivan on translating complex biological phenomena into clean mathematical equations. We were inspired by recent microscopic data that redefined Lewy bodies not just as simple protein clumps, but as complex, crowded graveyards of lipids and organelles. I am hopeful that our analytical solutions will bridge the gap between theoretical math and clinical neuroscience. By offering a minimal yet functional model, we want to encourage fellow researchers to test these parameters in the laboratory, bringing us one step closer to understanding the physical mechanics of Parkinson's disease.
Andrey V Kuznetsov
North Carolina State University
Read the Original
This page is a summary of: An analytical solution simulating growth of Lewy bodies, Mathematical Medicine and Biology A Journal of the IMA, June 2022, Oxford University Press (OUP),
DOI: 10.1093/imammb/dqac006.
You can read the full text:
Contributors
The following have contributed to this page
