Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Zhigun, Anna"'
Autor:
Eckardt, Maria, Zhigun, Anna
Global existence of very weak solutions to a non-local diffusion-advection-reaction equation is established under no-flux boundary conditions in higher dimensions. The equation features degenerate myopic diffusion and nonlocal adhesion and is an exte
Externí odkaz:
http://arxiv.org/abs/2406.15318
Autor:
Rajendran, Mabel Lizzy, Zhigun, Anna
Local well-posedness is established for a highly nonlocal nonlinear diffusion-adhesion system for bounded initial values with small support. Macroscopic systems of this kind were previously obtained by the authors through upscaling in [32] and can ac
Externí odkaz:
http://arxiv.org/abs/2404.15222
Autor:
Zhigun, Anna
Existence of global finite-time bounded entropy solutions to a parabolic-parabolic system proposed in [16] is established in bounded domains under no-flux boundary conditions for nonnegative bounded initial data. This modification of the classical Ke
Externí odkaz:
http://arxiv.org/abs/2401.03887
Autor:
Zhigun, Anna, Rajendran, Mabel Lizzy
Cell-cell adhesion plays a vital role in the development and maintenance of multicellular organisms. One of its functions is regulation of cell migration, such as occurs, e.g. during embryogenesis or in cancer. In this work, we develop a versatile mu
Externí odkaz:
http://arxiv.org/abs/2308.05676
Autor:
Zhigun, Anna
Tumour invasion is an essential stage of cancer progression. Its main drivers are diffusion and taxis, a directed movement along the gradient of a stimulus. Here we review models with flux limited diffusion and/or taxis which have applications in mod
Externí odkaz:
http://arxiv.org/abs/2109.14009
We propose a multiphase modeling approach to describe glioma pseudopalisade patterning under the influence of acidosis. The phases considered at the model onset are glioma, normal tissue, necrotic matter, and interstitial fluid in a void-free volume
Externí odkaz:
http://arxiv.org/abs/2106.15241
Autor:
Eckardt, Maria, Zhigun, Anna
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 March 2025 543(2) Part 2
Autor:
Zhigun, Anna, Surulescu, Christina
In this work we upscale a prototypical kinetic transport equation which models a cell population moving in a fibrous environment with a chemo- or haptotactic signal influencing both the direction and the magnitude of the cell velocity. The presented
Externí odkaz:
http://arxiv.org/abs/2010.04148
We provide a review of recent advancements in nonlocal continuous models for migration, mainly from the perspective of its involvement in embryonal development and cancer invasion. Particular emphasis is placed on spatial nonlocality occurring in adv
Externí odkaz:
http://arxiv.org/abs/1911.05200
A rigorous limit procedure is presented which links nonlocal models involving adhesion or nonlocal chemotaxis to their local counterparts featuring haptotaxis and classical chemotaxis, respectively. It relies on a novel reformulation of the involved
Externí odkaz:
http://arxiv.org/abs/1908.10287