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Origin of superdiffusive behavior in a class of nonequilibrium systems
Himadri S Samanta1, D Thirumalai1
1Department of Chemistry, University of Texas at Austin, Texas 78712, USA.
Physical Review. E
|April 20, 2019
Summary
Tumor cell dynamics exhibit jamming-induced subdiffusion on short timescales and universal superdiffusion at long times. This behavior is shared with abiotic systems like soap foams, revealing a common universality class.
Area of Science:
- Physics
- Biophysics
- Materials Science
Background:
- Far-from-equilibrium systems, including living and abiotic ones, often display superdiffusive behavior.
- Tumor growth dynamics can involve slow, glass-like phases preceding faster movement.
Purpose of the Study:
- To theoretically investigate the dynamics of collective tumor cell evolution.
- To identify universal principles governing nonequilibrium systems.
Main Methods:
- Theoretical modeling of tumor cell evolution under mechanical forces, birth, and apoptosis.
- Application of a stochastic quantization method due to the absence of the fluctuation-dissipation theorem.
- Comparison with simulations of a soap foam model.
Main Results:
- Short-timescale dynamics show subdiffusion due to jamming.
- Long-timescale dynamics exhibit universal superdiffusion, independent of cell-cell interaction details.
- The theory quantitatively explains dynamics in both tumor cell systems and soap foam simulations.
Conclusions:
- Collective tumor cell motion and soap foam dynamics belong to the same universality class.
- Superdiffusion is a universal feature in certain far-from-equilibrium systems.
- The developed theoretical framework accurately predicts observed dynamics.
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