3 papers
math.NA2024
Strong Convergence of a Splitting Method for the Stochastic Complex Ginzburg-Landau Equation
Marvin Jans, Gabriel J. Lord, Mariya Ptashnyk
We consider the numerical approximation of the stochastic complex Ginzburg-Landau equation with additive noise on the one dimensional torus. The complex nature of the equation mean…
q-bio.CB2023
A biased random walk approach for modeling the collective chemotaxis of neural crest cells
Viktoria Freingruber, Kevin J. Painter, Mariya Ptashnyk +1
Collective cell migration is a multicellular phenomenon that arises in various biological contexts, including cancer and embryo development. "Collectiveness" can be promoted by cel…
math.AP2014
Hopf Bifurcation in a Gene Regulatory Network Model: Molecular Movement Causes Oscillations
Mark Chaplain, Mariya Ptashnyk, Marc Sturrock
Gene regulatory networks, i.e. DNA segments in a cell which interact with each other indirectly through their RNA and protein products, lie at the heart of many important intracell…