# A Case Study of Thermodynamic Bounds for Chemical Kinetics

@article{Proesmans2019ACS, title={A Case Study of Thermodynamic Bounds for Chemical Kinetics}, author={Karel Proesmans and Luca Peliti and David Lacoste}, journal={Chemical Kinetics}, year={2019} }

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.

## 5 Citations

An ordered set of power-efficiency trade-offs

- Mathematics, PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2019

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

- PhysicsEPL (Europhysics Letters)
- 2020

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

- Physics, MathematicsPhysical Review X
- 2021

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

- Physics
- 2020

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

- Mathematics, Physics
- 2020

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…

## References

SHOWING 1-10 OF 40 REFERENCES

Discrete-time thermodynamic uncertainty relation

- Physics
- 2017

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

- Physics
- 2016

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

- Mathematics, Physics
- 2018

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.

- Chemistry, PhysicsThe journal of physical chemistry. B
- 2015

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.

- Physics, MathematicsPhysical review. E
- 2017

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.

- Medicine, PhysicsPhysical review. E
- 2018

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.

- Physics, MedicinePhysical review letters
- 2015

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

- Chemistry, MedicineProceedings of the National Academy of Sciences
- 2010

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.

- Physics, MedicinePhysical review letters
- 2017

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.

- Mathematics, PhysicsPhysical 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…