Balancing Time and Space in the Brain

Summary: A new model provides a much richer understanding of how activity is coordinated between neurons in neural circuits, researchers claim.

Source: University of Pittsburgh.

New model holds promise for predicting brain dynamics. Study extends popular ‘balanced network theory’.

For as long as scientists have been listening in on the activity of the brain, they have been trying to understand the source of its noisy, apparently random, activity. In the past 20 years, “balanced network theory” has emerged to explain this apparent randomness through a balance of excitation and inhibition in recurrently coupled networks of neurons. A team of scientists has extended the balanced model to provide deep and testable predictions linking brain circuits to brain activity.

Lead investigators at the University of Pittsburgh say the new model accurately explains experimental findings about the highly variable responses of neurons in the brains of living animals. On Oct. 31, their paper, “The spatial structure of correlated neuronal variability,” was published online by the journal Nature Neuroscience.

The new model provides a much richer understanding of how activity is coordinated between neurons in neural circuits. The model could be used in the future to discover neural “signatures” that predict brain activity associated with learning or disease, say the investigators.

“Normally, brain activity appears highly random and variable most of the time, which looks like a weird way to compute,” said Brent Doiron, associate professor of mathematics at Pitt, senior author on the paper, and a member of the University of Pittsburgh Brain Institute (UPBI). “To understand the mechanics of neural computation, you need to know how the dynamics of a neuronal network depends on the network’s architecture, and this latest research brings us significantly closer to achieving this goal.”

Earlier versions of the balanced network theory captured how the timing and frequency of inputs–excitatory and inhibitory–shaped the emergence of variability in neural behavior, but these models used shortcuts that were biologically unrealistic, according to Doiron.

“The original balanced model ignored the spatial dependence of wiring in the brain, but it has long been known that neuron pairs that are near one another have a higher likelihood of connecting than pairs that are separated by larger distances. Earlier models produced unrealistic behavior–either completely random activity that was unlike the brain or completely synchronized neural behavior, such as you would see in a deep seizure. You could produce nothing in between.”

In the context of this balance, neurons are in a constant state of tension. According to co-author Matthew Smith, assistant professor of ophthalmology at Pitt and a member of UPBI, “It’s like balancing on one foot on your toes. If there are small overcorrections, the result is big fluctuations in neural firing, or communication.”

The new model accounts for temporal and spatial characteristics of neural networks and the correlations in the activity between neurons–whether firing in one neuron is correlated with firing in another. The model is such a substantial improvement that the scientists could use it to predict the behavior of living neurons examined in the area of the brain that processes the visual world.

After developing the model, the scientists examined data from the living visual cortex and found that their model accurately predicted the behavior of neurons based on how far apart they were. The activity of nearby neuron pairs was strongly correlated. At an intermediate distance, pairs of neurons were anticorrelated (When one responded more, the other responded less.), and at greater distances still they were independent.

“This model will help us to better understand how the brain computes information because it’s a big step forward in describing how network structure determines network variability,” said Doiron. “Any serious theory of brain computation must take into account the noise in the code. A shift in neuronal variability accompanies important cognitive functions, such as attention and learning, as well as being a signature of devastating pathologies like Parkinson’s disease and epilepsy.”

Image shows a woman and clocks.
Earlier versions of the balanced network theory captured how the timing and frequency of inputs–excitatory and inhibitory–shaped the emergence of variability in neural behavior, but these models used shortcuts that were biologically unrealistic, according to Doiron. NeuroscienceNews.com image is for illustrative purposes only.

While the scientists examined the visual cortex, they believe their model could be used to predict activity in other parts of the brain, such as areas that process auditory or olfactory cues, for example. And they believe that the model generalizes to the brains of all mammals. In fact, the team found that a neural signature predicted by their model appeared in the visual cortex of living mice studied by another team of investigators.

“A hallmark of the computational approach that Doiron and Smith are taking is that its goal is to infer general principles of brain function that can be broadly applied to many scenarios. Remarkably, we still don’t have things like the laws of gravity for understanding the brain, but this is an important step for providing good theories in neuroscience that will allow us to make sense of the explosion of new experimental data that can now be collected,” said Nathan Urban, associate director of UPBI.

About this neuroscience research article

In addition to Doiron and Smith, Jonathan Rubin, professor of mathematics at Pitt; Robert Rosenbaum, a former postdoctoral scholar at Pitt and now an assistant professor at the University of Notre Dame; and Adam Kohn from the Albert Einstein College of Medicine contributed to this work.

Funding: The research was funded by National Science Foundation grants awarded as part of the federal BRAIN (Brain Research through Advancing Innovative Neurotechnologies) Initiative. Additional support was provided by the National Eye Institute, Research to Prevent Blindness, the Eye and Ear Foundation of Pittsburgh, and the Simons Foundation.

Source: John Fedele – University of Pittsburgh
Image Source: NeuroscienceNews.com image is in the public domain.
Original Research: Abstract for “The spatial structure of correlated neuronal variabilityā€¯ by Robert Rosenbaum, Matthew A Smith, Adam Kohn, Jonathan E Rubin and Brent Doiron in Nature Neuroscience. Published online October 31 2016 doi:10.1038/nn.4433

Cite This NeuroscienceNews.com Article

[cbtabs][cbtab title=”MLA”]University of Pittsburgh “Balancing Time and Space in the Brain.” NeuroscienceNews. NeuroscienceNews, 31 October 2016.
<https://neurosciencenews.com/neuroscience-time-space-5394/>.[/cbtab][cbtab title=”APA”]University of Pittsburgh (2016, October 31). Balancing Time and Space in the Brain. NeuroscienceNew. Retrieved October 31, 2016 from https://neurosciencenews.com/neuroscience-time-space-5394/[/cbtab][cbtab title=”Chicago”]University of Pittsburgh “Balancing Time and Space in the Brain.” https://neurosciencenews.com/neuroscience-time-space-5394/ (accessed October 31, 2016).[/cbtab][/cbtabs]


Abstract

The spatial structure of correlated neuronal variability

Shared neural variability is ubiquitous in cortical populations. While this variability is presumed to arise from overlapping synaptic input, its precise relationship to local circuit architecture remains unclear. We combine computational models and in vivo recordings to study the relationship between the spatial structure of connectivity and correlated variability in neural circuits. Extending the theory of networks with balanced excitation and inhibition, we find that spatially localized lateral projections promote weakly correlated spiking, but broader lateral projections produce a distinctive spatial correlation structure: nearby neuron pairs are positively correlated, pairs at intermediate distances are negatively correlated and distant pairs are weakly correlated. This non-monotonic dependence of correlation on distance is revealed in a new analysis of recordings from superficial layers of macaque primary visual cortex. Our findings show that incorporating distance-dependent connectivity improves the extent to which balanced network theory can explain correlated neural variability.

“The spatial structure of correlated neuronal variabilityā€¯ by Robert Rosenbaum, Matthew A Smith, Adam Kohn, Jonathan E Rubin and Brent Doiron in Nature Neuroscience. Published online October 31 2016 doi:10.1038/nn.4433

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