Zobrazeno 1 - 10
of 245
pro vyhledávání: '"Nepomnyashchy, Alexander"'
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 phase field method and the driving mechanisms of uptake are actin ratch
Externí odkaz:
http://arxiv.org/abs/2310.08321
Autor:
Mikishev, Alexander a, ⁎, Nepomnyashchy, Alexander b
Publikováno v:
In Physica D: Nonlinear Phenomena November 2024 467
We consider two stable heteroclinic cycles rotating in opposite directions, coupled via diffusive terms. A complete synchronization in this system is impossible, and numerical exploration shows that chaos is abundant at low levels of coupling. With i
Externí odkaz:
http://arxiv.org/abs/2202.00288
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 phase field approach in the spirit of [1], that couples the order param
Externí odkaz:
http://arxiv.org/abs/2111.06609
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 couples the order parameter $u$ with 3D polarization (orientation) vector f
Externí odkaz:
http://arxiv.org/abs/2106.12799
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] for the description of keratocyte motility. Our model consists of two c
Externí odkaz:
http://arxiv.org/abs/2106.01938
Autor:
Pikovsky, Arkady a, ⁎, Nepomnyashchy, Alexander b
Publikováno v:
In Physica D: Nonlinear Phenomena October 2023 452
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 v
Externí odkaz:
http://arxiv.org/abs/1910.01421
Autor:
Simanovskii, Ilya a, ⁎, Nepomnyashchy, Alexander a, Viviani, Antonio b, Queeckers, Patrick c, Parente, Alessandro d, e
Publikováno v:
In International Journal of Non-Linear Mechanics June 2023 152
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 supply. This model is called the continuum model. Indeed it's numerical s
Externí odkaz:
http://arxiv.org/abs/1808.00432