81 citations · 289 across the 24 of their papers we have counts for
27 papers
Bacterial aggregation in the presence of directed motion
Timothy Power, Hildur Knutsdottir, Leah Edelstein-Keshet +1
We model directed motion of cells that aggregate into a cluster in the presence of chemotaxis or fluid transport. Starting from a stochastic agent-based model (ABM) of Galante \& L…
Localized patterns in the Gierer Meinhardt model on a cycle graph
Theodore Kolokolnikov, Juncheng Wei, Shuangquan Xie
In this study, we provide a detailed analysis of the spike solutions and their stability for theGierer-Meinhardt model on discrete lattices. We explore several phenomena that have…
Attainable bounds for algebraic connectivity and maximally-connected regular graphs
Geoffrey Exoo, Theodore Kolokolnikov, Jeanette Janssen +1
We derive attainable upper bounds on the algebraic connectivity (spectral gap) of a regular graph in terms of its diameter and girth. This bound agrees with the well-known Alon-Bop…
A ring of spikes
Theodore Kolokolnikov, Michael Ward
For the Schnakenberg model, we consider a highly symmetric configuration of N spikes whose locations are located at the vertices of a regular N-gon inside either a unit disk or an…
It is better to be semi-regular when you have a low degree
Theodore Kolokolnikov
We study the algebraic connectivity for several classes of random semi-regular graphs. For large random semi-regular bipartite graphs, we explicitly compute both their algebraic co…
Modelling of spatial infection spread through heterogeneous population: from lattice to PDE models
A. Vaziry, T. Kolokolnikov, P. G. Kevrekidis
We present a simple model for the spread of an infection that incorporates spatial variability in population density. Starting from first principle considerations, we explore how a…