2021/11/07 by Utkarsh Upadhyay, Upadhyay, Utkarsh, Chandrima Barua +8
Biochemistry, Genetics and Molecular Biology · Medicine · #FOS: Biological sciences #Pancreatic function and diabetes #Protein Structure and Dynamics #Protein purification and stability #Subcellular Processes (q-bio.SC) #q-bio.SC
paper · pdf · doi:10.48550/arxiv.2111.04103
9 pages, 1 figure
arxiv created 2021/11/07 · openalex publication_date 2021/11/07 · arxiv updated 2021/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Unfolded protein aggregation in cellular system is a problem causing various types of diseases depending on which type unfolded proteins aggregate. This phenomenon of aggregation may take place during production, storage, shipment or delivery in the cellular medium. In the present work, we studied a simplified and extended version of unfolded protein aggregation model by Lumry and Eyring using stochastic approach. We solved analytically the Master equation of the model for the probability distribution P(x,t) of the unfolded protein population and the solution was found to be time dependent complex binomial distribution. In the large population limit P(x,t)∼ Λ(x,t)× Pois(x,t). Further, the distribution became Normal distribution at large population and mean of the distribution limit: P(x,t)∼Λ(x,t)× N(⟨ qx⟩,⟨ qx⟩). The fluctuations inherent in the dynamics measured by Fano factor can have sub-Poisson, Poisson and super-Poisson at different situations.