Figure 1
From: White matter-based brain network topological properties associated with individual impulsivity

Distribution of individuals’ delay discounting (DD) rate and global topological measures of the structural network and their associations. (A) Sample trials (left panel) in the intertemporal choice task, hyperbolic curve fitting to behavioral data (middle panel), and distribution of individual DD values (right panel). Left panel: Participants were asked to make a choice between a smaller-immediate reward and a larger-delayed reward. Middle panel: Individuals’ DD rates were estimated from behavioral data during the task. We plotted each trial as a function of the delay on the abscissa and the relative amount, which is obtained by dividing the immediate amount by the delayed amount, on the ordinate. In addition to the two axes, we color-coded each trial by the proportion of participants who chose the delayed option and overlaid a hyperbolic function based on the mean discount rate k (black) across all participants, as well as all the individually fitted discount functions (gray). (B) Distribution of global topological properties of the structural brain network. For all participants, the structural network showed small-world architecture (\(\Upsilon\) > 1, \(\lambda \approx 1\), and σ > 1). (C) Association between DD and small-worldness. Higher DD was associated with lower small-worldness. For illustration purposes, this partial correlation scatterplot was generated by performing Pearson correlation analysis between residuals after regressing out age, sex, and education years.