45 citations · 59 across the 9 of their papers we have counts for
10 papers
How environment affects active particle swarms: a case study
Pierre Degond, Angelika Manhart, Sara Merino-Aceituno +2
We investigate the collective motion of self-propelled agents in an environment filled with obstacles that are tethered to fixed positions via springs. The active particles are abl…
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 age-structured continuum model for myxobacteria
Pierre Degond, Angelika Manhart, Hui Yu
Myxobacteria are social bacteria, that can glide in 2D and form counter-propagating, interacting waves. Here we present a novel age-structured, continuous macroscopic model for the…
Mathematical Modeling of Myosin Induced Bistability of Lamellipodial Fragments
Stefanie Hirsch, Angelika Manhart, Christian Schmeiser
For various cell types and for lamellipodial fragments on flat surfaces, externally induced and spontaneous transitions between symmetric nonmoving states and polarized migration h…
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…
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…