Investigating role of heterogeneity in collective dynamics of honey bees and epithelial cells: (At the Max Planck Institute of Animal Behaviour and University of Konstanz, Konstanz, Germany, we have analysed the behaviour of a large number of honeybee individuals tracked using barcodes and computer vision algorithms over their entire lifetime. Using such a rich dataset, we are trying to understand the role of heterogeneity among individuals in the dynamics of collective behaviour, using a composite approach involving mathematical modelling and advanced data analysis techniques such as non-linear dimensionality reduction.
Epithelial cell migration: In another project as a postdoctoral fellow, I have looked at a very different system – epithelial cell migration. This is an ongoing project in collaboration with Dr Medhavi Vishwakarma from Indian Institute of Science, Bengaluru. By analysing such different and interesting systems, eventually, our broad goal is to identify mechanistic commonalities and differences in individual and collective behaviour across scales in biology.
Intrinsic noise in collective dynamics: (PhD work at Indian Institute of Science, Bangalore) We used a stochastic framework that accounts for intrinsic noise in collective dynamics arising due to (a) inherently probabilistic interactions and (b) finite number of group members. We derived equations of group dynamics from real data and from individual-level probabilistic rules, demonstrating that intrinsic noise induces schooling in fish groups. Such empirical evidence is rare, and tightly constrains the possible underlying interactions between fish. Our analytical model and simulations indicated that fish mainly align with each other one at a time, ruling out other complex interactions such as averaging or higher-order interactions.
Collective dynamics of swarms of Whirligig Beetles: (in collaboration with Dr Shashi Thutupalli, National Centre for Biological Sciences, Bengaluru) We extended our stochastic modelling and analysis framework to study Whirligig Beetles which show fascinating patterns of rotational group dynamics. We found that complex interactions between individuals are likely to be at play in the underlying observed group dynamics.