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19952025
most citedOscillatory instability in super-diffusive reaction -- diffusion systems: fractional amplitude and phase diffusion equations

25 citations · 68 across the 17 of their papers we have counts for

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physics.bio-ph2021

Phase field model for phagocytosis dynamics

Mohammad Abu Hamed, Alexander A. Nepomnyashchy

The basic process of the innate immune system when phagocyte (white blood cell) engulf or swallow a target particle (bacterium or dead cell), is called phagocytosis. We apply the p…

physics.bio-ph2021

Phase field model for cell spreading dynamics

Mohammad Abu Hamed, Alexander A. Nepomnyashchy

We suggest a 3D phase field model to describe 3D cell spreading on a flat substrate. The model is a simplified version of a minimal model that was developed in [1]. Our model coupl…

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…

physics.bio-ph2019

A simple model of Keratocyte membrane dynamics

Mohammad Abu Hamed, Alexander A. Nepomnyashchy

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 coupl…

physics.bio-ph2018

Longwave nonlinear theory for chemically active droplet division instability

Mohammad Abu Hamed, Alexander A. Nepomnyashchy

It has been suggested recently that growth and division of a protocell could be modeled by a chemically active droplet with simple chemical reactions driven by an external fuel sup…