Ameboid cell motility: a model and inverse problem, with an application to live cell imaging data

Area of Science:

• Biophysics
• Cell Biology
• Mathematical Modeling

Background:

• Ameboid cell movement is crucial for biological processes.
• Cellular motility is influenced by the viscoelastic properties of cytoplasm and the cytoskeleton.
• Understanding cell mechanics is key to deciphering cell movement.

Purpose of the Study:

• To develop a mathematical model for ameboid cell movement.
• To pose and solve the inverse problem: determining internal mechanical properties from observed cell motion.
• To gain insights into the mechanical, chemical, and biophysical aspects of cell motility.

Main Methods:

• Developed a spring-dashpot model with Newtonian dynamics.
• Formulated and solved the inverse problem to identify characteristic properties of the internal structure.
• Applied the model to simulated data and live cell imaging data (U87-MG cells).

Main Results:

• The model accurately mimics key features of cell movement.
• The inverse problem solution provides accurate model parameters.
• Analysis demonstrated high accuracy with simulated data and efficiency with experimental live cell imaging data.

Conclusions:

• The developed mathematical model and its inverse problem solution are effective tools for studying ameboid cell movement.
• This approach provides valuable insights into the mechanical properties governing cell motility.
• The method is versatile, applicable to various conditions and data types, including live cell imaging.