A Case Study of Thermodynamic Bounds for Chemical Kinetics

  title={A Case Study of Thermodynamic Bounds for Chemical Kinetics},
  author={Karel Proesmans and Luca Peliti and David Lacoste},
  journal={Chemical Kinetics},
In this chapter, we illustrate recently obtained thermodynamic bounds for a number of enzymatic networks by focusing on simple examples of unicyclic or multi-cyclic networks. We also derive complementary relations which constrain the fluctuations of first-passage times to reach a threshold current. 

Figures from this paper

An ordered set of power-efficiency trade-offs
A number of inequalities are derived which express power-efficiency trade-offs that hold generally for thermodynamic machines operating in non-equilibrium stationary states, including the output power which is bounded by a quadratic function of the thermodynamic efficiency multiplied by a factor.
Phase transitions in optimal betting strategies
L. Dinis1, J. Unterberger2 and D. Lacoste3 1 GISC Grupo Interdisciplinar de Sistemas Complejos and Dpto. de Estructura de la Materia, FÃŋsica TÃľrmica y ElectrÃşnica, Universidad Complutense de
Emergent Memory and Kinetic Hysteresis in Strongly Driven Networks
Stochastic network-dynamics are typically assumed to be memory-less. Involving prolonged dwells interrupted by instantaneous transitions between nodes such Markov networks stand as a coarse-graining
Exact statistics and thermodynamic uncertainty relations for a periodically driven electron pump
We introduce a model for a periodically driven electron pump that sequentially interact with an arbitrary number of heat and particle reservoirs. Exact expressions for the thermodynamic fluxes, such
Phase transitions in optimal strategies for gambling
Kelly's criterion is a betting strategy that maximizes the long term growth rate, but which is known to be risky. Here, we find optimal betting strategies that gives the highest capital growth rate


Discrete-time thermodynamic uncertainty relation
We generalize the thermodynamic uncertainty relation, providing an entropic upper bound for average fluxes in time-continuous steady-state systems (Gingrich et al., Phys. Rev. Lett. 116, 120601
Affinity- and topology-dependent bound on current fluctuations
We provide a proof of a recently conjectured universal bound on current fluctuations in Markovian processes. This bound establishes a link between the fluctuations of an individual observable
Exact results for the finite time thermodynamic uncertainty relation
We obtain exact results for the recently discovered finite-time thermodynamic uncertainty relation, for the dissipated work W-d, in a stochastically driven system with non-Gaussian work statistics,
Universal bound on the Fano factor in enzyme kinetics.
It is shown that the bound on the Fano factor that depends on the thermodynamic affinity driving the transformation from substrate to product constrains the number of intermediate states of an enzymatic cycle can be extended to arbitrary multicyclic networks.
Proof of the finite-time thermodynamic uncertainty relation for steady-state currents.
This work proves a recently conjectured finite-time thermodynamic uncertainty relation for steady-state current fluctuations based on a quadratic bound to the large deviation rate function for currents in the limit of a large ensemble of many copies.
Quantifying fluctuations in reversible enzymatic cycles and clocks.
This work defines a stochastic period for reversible cycles and presents analytical solutions for its moments, and associates the two forms of the randomness parameter with the thermodynamic uncertainty relation, which sets limits on the timing precision of the cycle in terms of thermodynamic quantities.
Thermodynamic uncertainty relation for biomolecular processes.
It is shown quite generally that, in a steady state, the dispersion of observables, like the number of consumed or produced molecules or thenumber of steps of a motor, is constrained by the thermodynamic cost of generating it.
Mechanistic constraints from the substrate concentration dependence of enzymatic fluctuations
Here it is shown that there is a single general expression for the substrate dependence of nmin for a wide range of kinetic models, governed by three kinetic parameters which have simple geometric interpretations and provide clear constraints on possible kinetic mechanisms.
Fundamental Bounds on First Passage Time Fluctuations for Currents.
A conjugate uncertainty relationship for the first passage time to accumulate a fixed net current is derived and previously discovered symmetries and bounds on the large-deviation function for currents are readily transferred to first passage times.
Frenetic Bounds on the Entropy Production.
  • C. Maes
  • Mathematics, Physics
    Physical review letters
  • 2017
We give a systematic derivation of positive lower bounds for the expected entropy production (EP) rate in classical statistical mechanical systems obeying a dynamical large deviation principle. The