Publication: Quantifying entropy production in active fluctuations of the hair-cell bundle from time irreversibility and uncertainty relations
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2021-08
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IOP Publishing
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Abstract
We introduce lower bounds for the rate of entropy production of an active stochastic process by quantifying the irreversibility of stochastic traces obtained from mesoscopic degrees of freedom. Our measures of irreversibility reveal signatures of time's arrow and provide bounds for entropy production even in the case of active fluctuations that have no drift. We apply these irreversibility measures to experimental recordings of spontaneous hair-bundle oscillations in mechanosensory hair cells from the ear of the bullfrog. By analyzing the fluctuations of only the tip position of hair bundles, we reveal irreversibility in active oscillations and estimate an associated rate of entropy production of at least similar to 3k (B)/s, on average. Applying thermodynamic uncertainty relations, we predict that measuring both the tip position of the hair bundle and the mechano-electrical transduction current that enters the hair cell leads to tighter lower bounds for the rate of entropy production, up to similar to 10(3) k (B)/s in the oscillatory regime.
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© 2021 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft. PM acknowledges support by the French National Agency for Research (ANR-11-BSV5 0011 and ANR-16-CE13-0015) and by the Labex Cell(n)Scale (ANR-11-LABX-0038, ANR-10-IDEX-0001-02). JMRP acknowledges financial support from the Spanish Government (Grant Contract, FIS-2017-83706-R). The electron micrograph of the hair bundles shown in figure 1(A) was obtained by Atitheb Chaiyasitdhi, a PhD student in P Martin's group. We acknowledge stimulating discussions with Roman Belousov, Izaak Neri, Andre C Barato, Simone Pigolotti, Johannes Baumgart, Jose Negrete Jr, Ken Sekimoto, Ignacio A Martinez, Patrick Pietzonka and A J Hudspeth.