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Updated: Aug 7, 2026

NMR 15N Relaxation Experiments for the Investigation of Picosecond to Nanoseconds Structural Dynamics of Proteins
Published on: November 1, 2024
A Markov model for relaxation and exchange in NMR spectroscopy
Daniel Abergel1, Arthur G Palmer
1Département de Chimie, Ecole Normale Supérieure, 24, rue Lhomond, 75231 Paris Cedex 05. daniel.abergel@ens.fr
Abstract:
A two-state Markov noise process for lattice fluctuations and chemical exchange dynamics is used to derive a stochastic Liouville equation describing the evolution of the spin-density operator in nuclear magnetic resonance spectroscopy. Relaxation through lattice fluctuations and chemical exchange processes is incorporated into the theory at the same fundamental level, and the results are valid for all time scales provided that lattice fluctuations are much faster than chemical exchange kinetics. Time-scale separation emerges as an essential feature from the lowest-order perturbation expansion of the average resolvent in the Laplace domain.
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