Thermodynamic uncertainty relation for biomolecular processes.
Biomolecular systems like molecular motors or pumps, transcription and translation machinery, and other enzymatic reactions, can be described as Markov processes on a suitable network. We show quite generally that, in a steady state, the dispersion of observables, like the number of consumed or produced molecules or the number of steps of a motor, is constrained by the thermodynamic cost of generating it. An uncertainty ε requires at least a cost of 2k(B)T/ε2 independent of the time required to generate the output.
II. Institut für Theoretische Physik, Universität Stuttgart, 70550 Stuttgart, Germany.
Andre C
AC
Barato
II. Institut für Theoretische Physik, Universität Stuttgart, 70550 Stuttgart, Germany.
Udo
U
Seifert
D004798:Enzymes / Q000737:chemistry* / Q000378:metabolism; D007700:Kinetics; D008390:Markov Chains; D008956:Models, Chemical; D020409:Molecular Motor Proteins / Q000737:chemistry* / Q000378:metabolism; D013816:Thermodynamics; D035501:Uncertainty
D004798:Enzymes; D020409:Molecular Motor Proteins