Coarse-graining intermittent intracellular transport: Two- and three-dimensional models.

Area of Science:

• Biophysics
• Cell Biology
• Mathematical Modeling

Background:

• Cellular cargo, including viruses, lack self-propulsion and rely on diffusion and active transport for movement.
• Viral motion within cells is characterized by intermittent phases of diffusion and active transport along microtubules.
• Analyzing these intermittent trajectories poses significant quantitative challenges.

Purpose of the Study:

• To develop novel mathematical methods for approximating intermittent intracellular transport dynamics.
• To construct effective stochastic differential equations to represent complex cellular motion.
• To provide a versatile framework for analyzing a wide range of intermittent transport phenomena.

Main Methods:

• Development of a coarse-graining methodology to approximate intermittent dynamics.
• Application of the method to two- and three-dimensional cell geometries (disk, sphere, cylinder).
• Validation of the method's accuracy against existing techniques.

Main Results:

• The proposed coarse-graining method provides a more accurate approximation of intermittent transport than current techniques.
• The method is demonstrated to be effective across various biologically relevant cell geometries.
• The mathematical framework is presented in full generality for future applications.

Conclusions:

• The developed mathematical approach successfully models intermittent cellular transport, overcoming previous analytical difficulties.
• This method offers a powerful tool for quantitative analysis of intracellular movement in diverse biological contexts.
• The generalized framework facilitates the study of novel intermittent transport models.