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A continuum model of motility in ameboid cells
Maria E Gracheva1, Hans G Othmer
1Department of Mathematics, University of Minnesota, 270A Vincent Hall, Minneapolis, MN 55455, USA.
Bulletin of Mathematical Biology
|December 13, 2003
Summary
This study introduces a new model for cell motility, explaining how cell movement depends on internal properties and external signals. The model accurately predicts cell deformation and velocity, offering insights into fibroblast locomotion.
Area of Science:
- Biophysics
- Cell Biology
- Theoretical Biology
Background:
- Cell motility is crucial for biological processes.
- Amoeboid cell movement involves complex internal and external factors.
- Existing models may not fully capture the interplay of viscoelasticity and active stress.
Purpose of the Study:
- To develop a continuum model for ameboid cell motility.
- To analyze the influence of cytoplasmic viscoelasticity and active stress on cell locomotion.
- To investigate the role of cell-substrate interactions in cell movement.
Main Methods:
- Developed a continuum model incorporating viscoelastic cytoplasm and active stress generation.
- Applied a one-dimensional model to fibroblast motion.
- Solved force balance and reaction-diffusion equations for essential proteins.
- Calculated cell deformation and velocity as functions of model parameters.
Main Results:
- Cell locomotion characteristics are determined by active stress, elastic/viscous properties, and cell-substrate interactions.
- The model successfully reproduces experimentally observed fibroblast deformation patterns.
- Computed cell velocity shows dependence on cell-substrate interaction strength and intrinsic cell properties.
Conclusions:
- The developed viscoelastic model provides a robust framework for understanding cell motility.
- Active stress and cell-substrate interactions are key regulators of cell speed and deformation.
- The model offers predictive power for cell behavior in various physiological and pathological contexts.