45 citations · 59 across the 9 of their papers we have counts for
4 papers · 1 filter
Large-scale dynamics of self-propelled particles moving through obstacles: model derivation and pattern formation
Pedro Aceves-Sanchez, Pierre Degond, Eric E. Keaveny +3
We model and study the patterns created through the interaction of collectively moving self-propelled particles (SPPs) and elastically tethered obstacles. Simulations of an individ…
Kinetic Modelling of Colonies of Myxobacteria
Sabine Hittmeir, Laura Kanzler, Angelika Manhart +1
A new kinetic model for the dynamics of myxobacteria colonies on flat surfaces is derived formally, and first analytical and numerical results are presented. The model is based on…
Counter-propagating waves in a system of transport-reaction equations
Angelika Manhart
Hyperbolic transport-reaction equations are abundant in the description of movement of motile organisms. Here, we focus on system of four coupled transport-reaction equations that…
A continuum model for nematic alignment of self-propelled particles
Pierre Degond, Angelika Manhart, Hui Yu
A continuum model for a population of self-propelled particles interacting through nematic alignment is derived from an individual-based model. The methodology consists of introduc…