May 3, 2024

Mind-Blown: Mathematical Rule Discovered Behind the Distribution of Neurons in Our Brains

A lognormal distribution is an analytical distribution identified by a skewed bell-shaped curve. Most importantly, the curve of a regular circulation is symmetric, while the lognormal one is asymmetric with a heavy tail.
Ramifications and Relevance of Findings
“Not least due to the fact that the distribution of neuron densities affects the network connection,” states Sacha van Albada, leader of the Theoretical Neuroanatomy group at Forschungszentrum Jülich and senior author of the paper. “For instance, if the density of synapses is continuous, regions with lower neuron density will receive more synapses per nerve cell,” she describes.
” Furthermore, as cortical locations are often identified on the basis of cytoarchitecture, knowing the circulation of nerve cell densities can be appropriate for statistically evaluating distinctions in between locations and the places of the borders between locations,” van Albada adds.
Understanding the Lognormal Distribution in Brain Characteristics
The outcomes align with previous observations that remarkably numerous qualities of the brain follow a lognormal circulation. “One reason it may be very common in nature is since it emerges when taking the item of lots of independent variables,” says Alexander van Meegen, joint very first author of the research study. In other words, the lognormal circulation occurs naturally as a result of multiplicative processes, comparable to how the typical circulation emerges when many independent variables are summed.
” Using an easy model, we were able to demonstrate how the multiplicative proliferation of neurons throughout development may result in the observed neuron density circulations” discusses van Meegen.
According to the study, in concept, cortex-wide organizational structures might be spin-offs of development or advancement that serve no computational function; but the fact that the exact same organizational structures can be observed for numerous species and across most cortical areas suggests that the lognormal distribution serves some function.
” We can not make certain how the lognormal circulation of nerve cell densities will affect brain function, but it will likely be connected with high network heterogeneity, which might be computationally beneficial,” states Aitor Morales-Gregorio, very first author of the research study, citing previous works that recommend that heterogeneity in the brains connectivity may promote effective information transmission. In addition, heterogeneous networks support robust learning and improve the memory capability of neural circuits.
Reference: “Ubiquitous lognormal circulation of nerve cell densities in mammalian cortex” by Aitor Morales-Gregorio, Alexander van Meegen and Sacha J van Albada, 6 July 2023, Cerebral Cortex.DOI: 10.1093/ cercor/bhad160.

Neuron densities in cortical locations in the mammalian brain follow a consistent circulation pattern. This finding that has profound ramifications for brain modeling and the development of brain-inspired innovations. Credit: Morales-Gregorio
Human Brain Project scientists from Forschungszentrum Jülich and the University of Cologne (Germany) have revealed how nerve cell densities are dispersed throughout and within cortical areas in the mammalian brain. They have unveiled a fundamental organizational concept of cortical cytoarchitecture: the ubiquitous lognormal distribution of neuron densities.
Varieties of nerve cells and their spatial plan play an essential role in forming the brains structure and function. Yet, despite the wealth of readily available cytoarchitectonic information, the analytical circulations of nerve cell densities stay largely undescribed. The new Human Brain Project (HBP) research study, released in the journal Cerebral Cortex, advances our understanding of the company of mammalian brains.
Analyzing the Datasets and the Lognormal Distribution
Nine openly offered datasets of seven types (mouse, marmoset, macaque, galago, owl monkey, baboon, and human) provided the structure for the research teams examinations. After examining the cortical locations of each, they discovered that neuron densities within these areas follow a constant pattern– a lognormal circulation. This suggests an essential organizational principle underlying the densities of nerve cells in the mammalian brain.

Neuron densities in cortical locations in the mammalian brain follow a consistent distribution pattern. After analyzing the cortical locations of each, they discovered that neuron densities within these areas follow a consistent pattern– a lognormal circulation. A lognormal circulation is an analytical circulation characterized by a skewed bell-shaped curve. The results align with previous observations that surprisingly many characteristics of the brain follow a lognormal distribution. In other words, the lognormal distribution emerges naturally as an outcome of multiplicative procedures, similar to how the regular distribution emerges when many independent variables are summed.