Mathematical modeling of the intracellular protein dynamics: the importance of active transport along microtubules

Area of Science:

• Cellular and Molecular Biology
• Biophysics
• Systems Biology

Background:

• Cellular processes rely on the precise spatial and temporal regulation of protein and mRNA.
• Observed oscillatory changes in protein concentration suggest underlying regulatory mechanisms.
• Understanding these dynamics is crucial for comprehending gene expression and cellular function.

Purpose of the Study:

• To develop a spatio-temporal mathematical model of protein and mRNA transport within a cell.
• To investigate the interplay between active transport, diffusion, and gene regulatory networks.
• To explore the origins of oscillatory protein concentration dynamics.

Main Methods:

• Development of a mathematical model incorporating active transport along microtubules and diffusion.
• Simulation of protein and mRNA interactions, treating them as a simple gene regulatory network.
• Analysis of numerical simulations to identify key drivers of observed cellular dynamics.

Main Results:

• The model successfully reproduces experimentally observed oscillatory changes in protein concentration.
• The model highlights the interaction between protein and mRNA as a component of a gene regulatory network.
• Numerical simulations suggest a novel hypothesis regarding the role of mRNA active transport.

Conclusions:

• Active mRNA transport along microtubules from the nucleus to distal cellular locations is hypothesized to drive oscillatory dynamics.
• The proposed generic model can be adapted for studying specific signaling pathways.
• This work provides a framework for understanding complex intracellular transport and regulatory mechanisms.