Hoore, M. | bioRxiv Science

bioRxiv2019

Mathematical model shows how sleep may affect amyloid β fibrillization

Deposition of amyloid {beta} (A{beta}) fibers in extra-cellular matrix of the brain is a ubiquitous feature associated with several neurodegenerative disorders, especially Alzheimers disease (AD). While many of the biological aspects that contribute to the formation of A{beta} plaques are well addressed at the intra- and inter-cellular level in short timescales, an understanding of how A{beta} fibrillization usually starts to dominate at a longer timescale in spite of the presence of mechanisms dedicated to A{beta} clearance, is still lacking. Furthermore, no existing mathematical model integrates the impact of diurnal neural activity as emanated from circadian regulation to predict disease progression due to a disruption in sleep-wake cycle. In this study, we develop a minimal model of A{beta} fibrillization to investigate the onset of AD over a long time-scale. Our results suggest that the diseased state is a manifestation of a phase change of the system from soluble A{beta} (sA{beta}) to fibrillar A{beta} (fA{beta}) domination upon surpassing a threshold in the production rate of soluble A{beta}. By incorporating the circadian rhythm into our model, we reveal that fA{beta} accumulation is crucially dependent on the regulation of sleep-wake cycle, thereby indicating the importance of a good sleep hygiene in averting AD onset. We also discuss potential intervention schemes to reduce fA{beta} accumulation in the brain by modification of the critical sA{beta} production rate.

systems biology↗

bioRxiv2018

Chronology of motor-mediated microtubule streaming

We introduce a computer-based simulation model for coarse-grained, effective motor-mediated interaction between microtubule pairs to study the time-scales that compose cytoplasmic streaming. We characterise microtubule dynamics in two-dimensional systems by chronologically arranging five distinct processes of varying duration that make up streaming, from microtubule pairs to collective dynamics. The structures found were polarity sorted due to the propulsion of antialigned microtubules. This also gave rise to the formation of large polar-aligned domains, and streaming at the domain boundaries. Correlation functions, mean squared displacements, and velocity distributions reveal a cascade of processes ultimately leading to microtubule streaming and advection, spanning multiple microtubule lengths. The characteristic times for the processes span over three orders of magnitude from fast single-microtubule processes to slow collective processes. Our approach can be used to directly test the importance of molecular components, such as motors and crosslinking proteins between microtubules, on the collective dynamics at cellular scale.

biophysics↗