A mathematical model normally used to study networks helped reveal the architecture of the brain.
Scientists studying the brain have discovered that the organ operates on up to 11 different dimensions, creating multiverse-like structures that are “a world we had never imagined.”
By using an advanced mathematical system, researchers were able to uncover architectural structures that appears when the brain has to process information, before they disintegrate into nothing.
Their findings, published in the journal Frontiers in Computational Neuroscience, reveals the hugely complicated processes involved in the creation of neural structures, potentially helping explain why the brain is so difficult to understand and tying together its structure with its function.
The team, led by scientists at the EPFL, Switzerland, were carrying out research as part of the Blue Brain Project—an initiative to create a biologically detailed reconstruction of the human brain. Working initially on rodent brains, the team used supercomputer simulations to study the complex interactions within different regions.
In the latest study, researchers honed in on the neural network structures within the brain using algebraic topology—a system used to describe networks with constantly changing spaces and structures. This is the first time this branch of math has been applied to neuroscience.
“Algebraic topology is like a telescope and microscope at the same time. It can zoom into networks to find hidden structures—the trees in the forest—and see the empty spaces—the clearings—all at the same time,” study author Kathryn Hess said in a statement.
In the study, researchers carried out multiple tests on virtual brain tissue to find brain structures that would never appear just by chance. They then carried out the same experiments on real brain tissue to confirm their virtual findings.
They discovered that when they presented the virtual tissue with stimulus, groups of neurons form a clique. Each neuron connects to every other neuron in a very specific way to produce a precise geometric object. The more neurons in a clique, the higher the dimensions.
In some cases, researchers discovered cliques with up to 11 different dimensions.
The structures assembled formed enclosures for high-dimensional holes that the team have dubbed cavities. Once the brain has processed the information, the clique and cavity disappears.