Fractional Differential Equations Solutions

AnDi-J is a Fiji plugin that analyzes single-particle tracking data using classical and machine learning methods to extract diffusion properties and classify trajectories.

The paper evaluates analysis methods for extracting diffusion parameters from single-molecule trajectories and shows that single-track analysis outperforms bulk methods.

This study uses differential dynamic microscopy to analyze cytoplasmic dynamics in Xenopus laevis egg extracts and HeLa cells, revealing subdiffusive motion and cytoskeletal influences on fluidity.

This paper introduces a fractional calculus framework to model DNA methylation dynamics, showing improved fit compared to standard exponential models.

The paper generalizes diffusion and Fisher-KPP equations on networks to model neurodegenerative progression, accounting for anomalous diffusion in brain structures.

The paper studies how cross-linkers generate chromatin phase separated nanoregions and quantifies their impact on molecular access using single particle trajectories.