Zobrazeno 1 - 10
of 68
pro vyhledávání: '"Rybalko, Volodymyr"'
Autor:
Piatnitski, Andrey, Rybalko, Volodymyr
We study asymptotic behavior of the bottom point of the spectrum of convolution type operators in environments with locally periodic microstructure. We show that its limit is described by an additive eigenvalue problem for Hamilton-Jacobi equation. I
Externí odkaz:
http://arxiv.org/abs/2401.16576
We consider a continuum active polar fluid model for the spreading of epithelial monolayers introduced by R. Alert, C. Blanch-Mercader, and J. Casademunt, 2019. The corresponding free boundary problem possesses flat front traveling wave solutions. Li
Externí odkaz:
http://arxiv.org/abs/2311.03102
The work concerns the multiscale modeling of a nerve fascicle of myelinated axons. We present a rigorous derivation of a macroscopic bidomain model describing the behavior of the electric potential in the fascicle based on the FitzHugh-Nagumo membran
Externí odkaz:
http://arxiv.org/abs/2206.04368
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 October 2024 538(1)
Autor:
Rybalko, Volodymyr, Berlyand, Leonid
We introduce a two-dimensional Hele-Shaw type free boundary model for motility of eukaryotic cells on substrates. The key ingredients of this model are the Darcy law for overdamped motion of the cytoskeleton gel (active gel) coupled with advection-di
Externí odkaz:
http://arxiv.org/abs/2104.00491
We consider motility of keratocyte cells driven by myosin contraction and introduce a 2D free boundary model for such motion. This model generalizes a 1D model from [12] by combining a 2D Keller-Segel model and a Hele-Shaw type boundary condition wit
Externí odkaz:
http://arxiv.org/abs/2103.15988
Autor:
Berlyand, Leonid, Rybalko, Volodymyr
We introduce a two-dimensional Keller-Segel type free boundary model for motility of eukaryotic cells on substrates. The key ingredients of this model are the Darcy law for overdamped motion of the cytoskeleton (active) gel and Hele-Shaw type boundar
Externí odkaz:
http://arxiv.org/abs/1905.03667
Publikováno v:
In Nonlinear Analysis: Real World Applications April 2023 70
The paper concerns the multiscale modeling of a myelinated axon. Taking into account the microstructure with alternating myelinated parts and nodes Ranvier, we derive a nonlinear cable equation describing the potential propagation along the axon. We
Externí odkaz:
http://arxiv.org/abs/1805.01708
We study a two-dimensional free boundary problem that models motility of eukaryotic cells on substrates. This problem consists of an elliptic equation describing the flow of cytoskeleton gel coupled with a convection-diffusion PDE for the density of
Externí odkaz:
http://arxiv.org/abs/1705.10352