Cytoplasmic stirring by active carpets

Author:

Chakrabarti Brato12ORCID,Rachh Manas3,Shvartsman Stanislav Y.145ORCID,Shelley Michael J.16ORCID

Affiliation:

1. Center for Computational Biology, Flatiron Institute, New York, NY 10010

2. International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Bengaluru 560089, India

3. Center for Computational Mathematics, Flatiron Institute, New York, NY 10010

4. Department of Molecular Biology, Princeton University, Princeton, NJ 08544

5. The Lewis-Sigler Institute for Integrative Genomics, Princeton University, Princeton, NJ 08544

6. The Courant Institute of Mathematical Sciences, New York University, New York, NY 10012

Abstract

Large cells often rely on cytoplasmic flows for intracellular transport, maintaining homeostasis, and positioning cellular components. Understanding the mechanisms of these flows is essential for gaining insights into cell function, developmental processes, and evolutionary adaptability. Here, we focus on a class of self-organized cytoplasmic stirring mechanisms that result from fluid–structure interactions between cytoskeletal elements at the cell cortex. Drawing inspiration from streaming flows in late-stage fruit fly oocytes, we propose an analytically tractable active carpet theory. This model deciphers the origins and three-dimensional spatiotemporal organization of such flows. Through a combination of simulations and weakly nonlinear theory, we establish the pathway of the streaming flow to its global attractor: a cell-spanning vortical twister. Our study reveals the inherent symmetries of this emergent flow, its low-dimensional structure, and illustrates how complex fluid–structure interaction aligns with classical solutions in Stokes flow. This framework can be easily adapted to elucidate a broad spectrum of self-organized, cortex-driven intracellular flows.

Funder

HHS | National Institutes of Health

National Science Foundation

Publisher

Proceedings of the National Academy of Sciences

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