Dissipation and energy propagation across scales in an active cytoskeletal material

Author:

Foster Peter J.12ORCID,Bae Jinhye34ORCID,Lemma Bezia256ORCID,Zheng Juanjuan3,Ireland William3ORCID,Chandrakar Pooja26,Boros Rémi6,Dogic Zvonimir26ORCID,Needleman Daniel J.378ORCID,Vlassak Joost J.3

Affiliation:

1. Physics of Living Systems, Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139

2. Department of Physics, Brandeis University, Waltham, MA 02454

3. John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138

4. Department of NanoEngineering, University of California San Diego, La Jolla, CA 92093

5. Department of Physics, Harvard University, Cambridge, MA 02138

6. Department of Physics, University of California, Santa Barbara, CA 93106

7. Department of Molecular and Cellular Biology, Harvard University, Cambridge, MA 02138

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

Abstract

Living systems are intrinsically nonequilibrium: They use metabolically derived chemical energy to power their emergent dynamics and self-organization. A crucial driver of these dynamics is the cellular cytoskeleton, a defining example of an active material where the energy injected by molecular motors cascades across length scales, allowing the material to break the constraints of thermodynamic equilibrium and display emergent nonequilibrium dynamics only possible due to the constant influx of energy. Notwithstanding recent experimental advances in the use of local probes to quantify entropy production and the breaking of detailed balance, little is known about the energetics of active materials or how energy propagates from the molecular to emergent length scales. Here, we use a recently developed picowatt calorimeter to experimentally measure the energetics of an active microtubule gel that displays emergent large-scale flows. We find that only approximately one-billionth of the system’s total energy consumption contributes to these emergent flows. We develop a chemical kinetics model that quantitatively captures how the system’s total thermal dissipation varies with ATP and microtubule concentrations but that breaks down at high motor concentration, signaling an interference between motors. Finally, we estimate how energy losses accumulate across scales. Taken together, these results highlight energetic efficiency as a key consideration for the engineering of active materials and are a powerful step toward developing a nonequilibrium thermodynamics of living systems.

Funder

National Science Foundation

HHS | National Institutes of Health

Gordon and Betty Moore Foundation

Publisher

Proceedings of the National Academy of Sciences

Subject

Multidisciplinary

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