4 research outputs found
Stability and Spatial Autocorrelations of Suspensions of Microswimmers with Heterogeneous Spin
Hydrodynamical interactions of active micro-particles are pervasive in our
planet's fluid environments. Hence, understanding the interactions of these
self-propelled particles is essential for science and engineering. In this
paper the suspensions of active swimmer-rotor particles have been
mathematically modeled by extending a previously developed stochastic kinetic
theory to analyze heterogeneous collections of microswimmers and microrotors
with multiple spin velocity populations. The paper uses this modeling approach
to derive insights on large scale properties such as suspension instabilities
and spatial correlations of the active particles and highlights the role of
active particle rotations on the behavior of the suspension. This study will
have an eye on analytically explaining pattern formation results observed for
self-propelled micro-particles using numerical and lab experiments
Statistical Mobility of Multicellular Colonies of Flagellated Swimming Cells
We study the stochastic hydrodynamics of colonies of flagellated swimming
cells, typified by multicellular choanoflagellates, which can form both rosette
and chainlike shapes. The objective is to link cell-scale dynamics to
colony-scale dynamics for various colonial morphologies. Via autoregressive
stochastic models for the cycle-averaged flagellar force dynamics and
statistical models for demographic cell-to-cell variability in flagellar
properties and placement, we derive effective transport properties of the
colonies, including cell-to-cell variability. We provide the most quantitative
detail on disclike geometries to model rosettes, but also present formulas for
the dynamics of general planar colony morphologies, which includes planar
chain-like configurations