2019/10/03 by Mohammad Abu Hamed, Hamed, Mohammad Abu, Alexander Nepomnyashchy +1
Biochemistry, Genetics and Molecular Biology · Neuroscience · #Biological Physics (physics.bio-ph) #Cellular Mechanics and Interactions #Circadian rhythm and melatonin #FOS: Physical sciences #Lipid Membrane Structure and Behavior #Soft Condensed Matter (cond-mat.soft)
paper · pdf · doi:10.48550/arxiv.1910.01421
openalex publication_date 2019/10/03 · openalex created_date 2019/10/10 · openalex updated_date 2026/07/28
We perform an analytical investigation of the cell interface dynamics in the framework of a minimal phase field model of cell motility suggested in [1], which consists of two coupled evolution equations for the order parameter and a two-dimensional vector field describing the actin network polarization (orientation). We derive a closed evolutionary integro-differential equation governing the cell interface dynamics. The equation includes the normal velocity of the membrane, curvature, volume relaxation, and a parameter that is determined by the non-equilibrium effects in the cytoskeleton. This equation can be simplified to obtain a Burgers-like equation. A condition on the system parameters for the existence of a stationary cell shape is obtained.