3 papers
cond-mat.soft2023
Physical phase field model for phagocytosis
Benjamin Winkler, Mohammad Abu Hamed, Alexander A. Nepomnyashchy +1
We propose and study a simple, physical model for phagocytosis, i.e. the active, actin-mediated uptake of micron-sized particles by biological cells. The cell is described by the p…
physics.bio-ph2021
Three-dimensional phase field model for actin-based cell membrane dynamics
Mohammad Abu Hamed, Alexander A. Nepomnyashchy
The interface dynamics of a 3D cell immersed in a 3D extracellular matrix is investigated. We suggest a 3D generalization of a known 2D minimal phase field model suggested in [1] f…
math.DS2014
Inertial Manifolds for Certain Sub-Grid Scale -Models of Turbulence
Mohammad Abu Hamed, Yanqiu Guo, Edriss S. Titi
In this note we prove the existence of an inertial manifold, i.e., a global invariant, exponentially attracting, finite-dimensional smooth manifold, for two different sub-grid scal…