16 citations · 25 across the 14 of their papers we have counts for
17 papers
Bifurcation of finger-like structures in traveling waves of epithelial tissues spreading
Leonid Berlyand, Antonina Rybalko, Volodymyr Rybalko +1
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 f…
Derivation of a bidomain model for bundles of myelinated axons
Carlos Jerez-Hanckes, Isabel A. Martínez Ávila, Irina Pettersson +1
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 e…
Emergence of traveling waves and their stability in a free boundary model of cell motility
Volodymyr Rybalko, Leonid Berlyand
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…
Stability of steady states and bifurcation to traveling waves in a free boundary model of cell motility
Leonid Berlyand, Volodymyr Rybalko
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 overdam…
Derivation of cable equation by multiscale analysis for a model of myelinated axons
Carlos Jerez-Hanckes, Irina Pettersson, Volodymyr Rybalko
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 c…
Bifurcation of traveling waves in a Keller-Segel type free boundary model of cell motility
Leonid Berlyand, Jan Fuhrmann, Volodymyr Rybalko
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 cytosk…