Insights into the dynamic trajectories of protein filament division revealed by numerical investigation into the mathematical model of pure fragmentation

• Published in: PLoS computational biology Vol. 17; no. 9; p. e1008964
• Main Authors: Tournus, Magali, Escobedo, Miguel, Xue, Wei-Feng, Doumic, Marie
• Format: Journal Article
• Language: English
• Published: United States Public Library of Science 03.09.2021; PLOS; Public Library of Science (PLoS)
• Subjects: Alzheimer's disease; Amyloid; Amyloid - chemistry; Approximation; Biology and Life Sciences; Biopolymers - chemistry; Cell division; Cytoskeleton - chemistry; Depletion; Division; Engineering and Technology; Experiments; Filaments; Fragmentation; Intermediate filament proteins; Life Sciences; Mathematical analysis; Mathematical models; Mathematicians; Models, Theoretical; Numerical analysis; Physical Sciences; Physics; Physiological aspects; Population; Power; Prion protein; Prions; Proteins; Proteins - chemistry; Research and Analysis Methods; Robustness (mathematics); Seeds; Size distribution; France; Amyloid Fibrils; Long-time dynamics; Inverse problem approach; Fragmentation Models; Amyloid assembly; Self-similar behaviour; Numerical experiments

The dynamics by which polymeric protein filaments divide in the presence of negligible growth, for example due to the depletion of free monomeric precursors, can be described by the universal mathematical equations of 'pure fragmentation'. The rates of fragmentation reactions reflect the s...