Neural correlates of unpredictability in behavioral patterns of wild-type and R6/2 mice.

This paper expands on recent findings that link dynamic patterns of striatal activity with patterns of movement and exploration in wild-type and transgenic mice (R6/2) that model Huntington disease (HD), a fatally inherited neurological condition. Here, with HD as a backdrop, we further develop the concept of entropy conservation in brain and behavior. In particular, we propose that entropy conservation could serve as a rule that guides the process of redistributing brain activity dynamics in order to alter behavior, allowing the adaptation to an ever-changing external environment. This concept is further linked to recent neuroimaging studies in human aging, building a new bridge between our recent findings of entropy conservation and the extant literature.

Neural Correlates of Unpredictability in Behavioral Patterns

A common feature of Huntington disease (HD), an autosomal dominant condition, is a severe loss of neurons in striatum, the main information processing unit of the basal ganglia. Ample evidence obtained from transgenic mice that model HD indicates that prior to the death of these neurons, they become dysfunctional and no longer process information in the same way that healthy ones do., At the level of behavior, HD is typically observed as a decline in motor control sometimes called “chorea” for the dancelike movements that result. In R6/2 mice, which express the toxic fragment of the HD gene (exon 1), a prominent behavioral phenotype is motor inflexibility, which is manifest as a decrease in the number of turns made into the perpendicular arms of a plus-shaped maze. Our recent study sought to gain further insight into the underlying neural correlates of this phenotype. We specifically targeted the striatum, the primary “decision-making” region of the basal ganglia that integrates cognitive and sensorimotor input from cerebral cortex in order to select and execute patterns of movement. We examined whether striatal activity, as measured by local field potentials (LFPs), are associated with motor inflexibility observed in HD mice.

To examine behavior-related patterns of LFP activity, we turned to concepts based on probabilities in order to measure the likelihood of turning in a plus-shaped maze and the pattern of maze exploration. Using an event-related approach, we examined the patterns of striatal LFP activity around the point in time at which the mice crossed the choice-point in the center of the maze as well as 2 sec before and 2 sec after they made the choice-point crossing. Although the striatal LFPs of the HD mice were significantly more unpredictable than their wild-type (WT) controls at all time-points, the HD LFPs exhibited a similar pattern of change over time. Entropy in the striatal LFPs of both types of mice decreased as they entered the choice point and increased as they departed from the choice point into an arm of the maze (forming a U-shape). Interestingly, we observed that more unpredictable LFP dynamics were correlated with more predictable patterns of behavior, as measured through: (1) the distribution of arm-choices; (2) likelihood of running straight along the maze; and (3) likelihood of performing alternating choice decisions (i.e., turning 90° then running straight and vice versa).

These findings support the entropy conservation hypothesis (illustrated in Fig. 1), which predicts that total entropy in neural activity across the brain is held constant, and is consistently being redistributed across the entire brain in order to respond to changes in the external environment., Because it is impossible to measure activity in all brain neurons, entropy of the behavioral decision patterns of the mice serves as a proxy for the collective entropy of activity in the brain regions that we could not measure. Under this assumption, lower levels of entropy in striatal LFP activity reflect situations in which entropy has been “passed along” to other regions of the brain. The ability of the remaining brain regions to “receive” entropy from the striatum is potentially what allows greater flexibility in the motor performance of WT mice. It is conceivable that the already high level of entropy in the striatal LFP signal of R6/2 mice prevented the necessary increase in entropy of the other brain regions to increase motor flexibility. Because the entropy in the HD mouse striatum remained high across all the time points around the choice-point crossing, the entropy in all the other regions responsible for movement and exploration would have to be lower, as reflected in the more predictable patterns of behavioral dynamics and exploration.

Figure 1. Schematic illustration of the concept of entropy conservation in the brain as a process similar to origami. Imagine that total brain entropy is represented as a piece of paper that can be folded to form landscapes with peaks of different heights and valleys of different depths. However, the total amount of available material is limited and thus, must be redistributed. When new peaks are created in one area, valleys must be created in another.

Our recent findings also are consistent with functional magnetic resonance imaging (fMRI) studies of human aging. Especially relevant is the finding of compensatory brain activation in healthy aging. It has been shown that older individuals who are able to activate non-motor areas of the brain perform better than older people who simply engage motor regions. The same study found that the seniors who performed poorly on the motor task engaged similar brain regions as the young subjects (who outperformed all of the older subjects). These poorly performing seniors exhibited an inability to activate supplementary brain regions to compensate for age-related motor declines. In a similar vein, a recent study of cognitive performance in aging showed that higher variability in the blood oxygenation-level-dependent (BOLD) signal in the brain is associated with higher performance. Higher BOLD signal variability, however, was not observed across the entire brain; subcortical regions were nearly an order of magnitude less variable than all the other regions in which BOLD signal variability was high. In contrast, the individuals that performed poorly on the cognitive task exhibited moderate levels of variability across all brain regions. Based on the brain regions in which variability was high, it was suggested that these were the task-relevant areas that were most heavily involved in cognitive performance.

If greater variability is equated to higher entropy or greater signal unpredictability, these human studies mirror our current findings, and could be considered further support for the entropy conservation hypothesis in brain, and behavior., Similar to our findings that suggest motor inflexibility in HD arises because of an aberrant redistribution of signal unpredictability across the brain, cognitive deficits in the elderly might also be associated with a dysfunctional redistribution of entropy across the brain. Such an idea is consistent with the view that “neural noise” or unpredictable brain activity serves a functional purpose in neural network configurations., In conclusion, the synthesis of these findings in human subjects and our recent data indicate that behavioral patterns are altered through the shifting of entropy to different regions across the brain. Additionally, this process of brain activity redistribution occurs in a manner that conserves entropy, acting as a form of natural law that governs the modulation of brain activity across different behaviors.