The Hurst exponent as a marker of inhibition in the developing brain

The maturation of inhibitory neurons is crucial for regulating plasticity in developing brains. Previous work using computational models has suggested that the Hurst exponent, the decay in power over frequency, reflects inhibition, but empirical data supporting this link is sparse. Here, we took a cross-species approach to validating the Hurst exponent of fMRI as a marker of inhibition, then characterized the development of the Hurst exponent in childhood. We found significant spatial correlations between the Hurst exponent and ex vivo parvalbumin mRNA expression in human children and adults, and between the Hurst exponent and parvalbumin-positive cell counts in mice. We identified a plateau in the mRNA expression by late childhood, aligning with the Hurst exponent plateau in both humans and rats. In sum, this work suggests that the Hurst exponent can be used to study the development of inhibition in vivo, and in the future, to understand individual differences in plasticity.