15 citations · 22 across the 6 of their papers we have counts for
6 papers · 1 filter
A novel derivation of rigorous macroscopic limits from a micro-meso description of signal-triggered cell migration in fibrous environments
Anna Zhigun, Christina Surulescu
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 bot…
Modeling multiple taxis: tumor invasion with phenotypic heterogeneity, haptotaxis, and unilateral interspecies repellence
Niklas Kolbe, Nikolaos Sfakianakis, Christian Stinner +2
We provide a short review of existing models with multiple taxis performed by (at least) one species and consider a new mathematical model for tumor invasion featuring two mutually…
Mathematical models for cell migration: a nonlocal perspective
Li Chen, Kevin Painter, Christina Surulescu +1
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.…
Nonlocal and local models for taxis in cell migration: a rigorous limit procedure
Maria Krasnianski, Kevin Painter, Christina Surulescu +1
A rigorous limit procedure is presented which links nonlocal models involving adhesion or nonlocal chemotaxis to their local counterparts featuring haptotaxis and classical chemota…
On a model for epidemic spread with interpopulation contact and repellent taxis
Chiganga Samson Ruoja, Christina Surulescu, Anna Zhigun
We study a PDE model for dynamics of susceptible-infected interactions. The dispersal of susceptibles is via diffusion and repellent taxis as they move away from the increasing den…
Global existence for a degenerate haptotaxis model of tumor invasion under the go-or-grow dichotomy hypothesis
Anna Zhigun, Christina Surulescu, Alexander Hunt
We propose and study a strongly coupled PDE-ODE-ODE system modeling cancer cell invasion through a tissue network under the go-or-grow hypothesis asserting that cancer cells can ei…