Temporal topological descriptors dynamic topology
Develop descriptors of how complex branching shapes evolve in time.
MIND-MAP · Topological Data Analysis of dynamic cell morphology
How can we describe a shape that continuously changes in time? Develop new topological descriptors and data-analysis methods that turn 3D + time microglia microscopy into trajectories, state spaces and interpretable models of morphological dynamics. Understanding these dynamics can help reveal how microscopic cellular changes relate to brain function and dysfunction, opening routes to progress in biology and medicine.
dynamic topologyDevelop descriptors of how complex branching shapes evolve in time.
dynamics · state spacesRepresent individual cells as trajectories through morphological state space.
TDA · geometryDevelop and compare interpretable topological and geometric descriptions of complex cell morphology.
high-dimensional dataBuild graph-based maps of morphological states, transitions and experimental conditions.
The project combines mathematical method development with real, challenging biological data — the goal is not merely to apply existing TDA tools, but to develop new ones.
Warsaw PI: Paweł Dłotko (University of Warsaw; Topological Data Analysis). MIND-MAP partners: Jooyoung Hahn (CTU Prague; computational modelling) and Sandra Siegert (ISTA, Austria; microglia biology and imaging).
This page is a pre-announcement and does not constitute the formal recruitment notice.
If topology, geometry and dynamics on real 3D+time data sound interesting, feel free to contact me already now. Send a CV, indicate whether you are interested in the PhD or postdoctoral position, and add a short description of your background and research interests. This is a pre-announcement; the official recruitment calls, including formal conditions, will be published separately.
p.dlotko@uw.edu.pl