6 papers
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…
Analyzing Collective Motion with Machine Learning and Topology
Dhananjay Bhaskar, Angelika Manhart, Jesse Milzman +4
We use topological data analysis and machine learning to study a seminal model of collective motion in biology [D'Orsogna et al., Phys. Rev. Lett. 96 (2006)]. This model describes…
Centering and symmetry breaking in confined contracting actomyosin networks
Niv Ierushalmi, Maya Malik-Garbi, Angelika Manhart +4
Centering and decentering of cellular components is essential for internal organization of cells and their ability to perform basic cellular functions such as division and motility…
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…
An Extended Filament Based Lamellipodium Model Produces Various Moving Cell Shapes in the Presence of Chemotactic Signals
Angelika Manhart, Christian Schmeiser, Nikolaos Sfakianakis +1
The Filament Based Lamellipodium Model (FBLM) is a two-phase two-dimensional continuum model, describing the dynamcis of two interacting families of locally parallel actin filament…