299 citations · 1k across the 57 of their papers we have counts for
64 papers
Classification of strongly non-hyperbolic critical points of planar second-order chemical reaction systems
Norm Yeung, Radek Erban
The dynamics of chemical reaction systems with two chemical species can be described (under mass-action kinetics) by planar autonomous systems of ordinary differential equations (O…
Extended pseudo-spectral physics-informed neural networks for phase-field models
Callum Marsh, Radek Erban, Andreas Munch
Phase-field models play a central role in the continuum description of phase separation, in which the bulk free-energy density and the interfacial thickness parameter determine pat…
On the role of fractional Brownian motion in models of chemotaxis and stochastic gradient ascent
Gustavo Cornejo-Olea, Lucas Buvinic, Jerome Darbon +3
Cell migration often exhibits long-range temporal correlations and anomalous diffusion, even in the absence of external guidance cues such as chemical gradients or topographical co…
Impact of memory on clustering in spontaneous particle aggregation
Radek Erban, Jan Haskovec
The effect of short-term and long-term memory on spontaneous aggregation of organisms is investigated using a stochastic agent-based model. Each individual modulates the amplitude…
Neural networks for learning macroscopic chemotactic sensitivity from microscopic models
Radek Erban
The macroscopic (population-level) dynamics of chemotactic cell movement -- arising from underlying microscopic (individual-based) models -- are often described by parabolic partia…
From Brownian dynamics to Poisson-Nernst-Planck equations: multi-resolution simulations of ions
Jinyuan Zhang, Radek Erban
Starting with a microscopic (individual-based) Brownian dynamics model of charged particles (ions), its macroscopic description is derived as a system of partial differential equat…