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This study by Balázs Szalkai at ELTE Institute of Mathematics explores the brain from a mathematical perspective, focusing on the connectome—defined by nodes (neurons or regions of interest) and edges (axons). Utilizing diffusion MRI scans and various mathematical techniques, we analyze data from 96 healthy subjects (52 female, 44 male) aged 22-35. Our findings indicate that women's brains exhibit denser networks, higher minimum bisection width, and more efficient connectivity compared to men's brains. This research highlights the complex relationship between brain structure and gender.
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Braingraphs of Women and Men Balázs Szalkai, ELTE Institute of Mathematics
The brain from a mathematical point of view Connectome: nodes=neurons, edges=axons
The brain from a mathematical point of view Macro-scaleconnectome: nodes=ROIs (regions of interest), edges=axons
Computing a macro-scaleconnectome • Diffusion MRI scan • Segmentation • Parcellation • Tractography • Graphconstruction
Computing a macro-scaleconnectome • Diffusion MRI scan • Segmentation • Parcellation • Tractography • Graphconstruction
Computing a macro-scaleconnectome • Diffusion MRI scan • Segmentation • Parcellation • Tractography • Graphconstruction
Computing a macro-scaleconnectome • Diffusion MRI scan • Segmentation • Parcellation • Tractography • Graphconstruction
Computing a macro-scaleconnectome • Diffusion MRI scan • Segmentation • Parcellation • Tractography • Graphconstruction
Materials and Methods • Human Connectome Project • Healthymale and femalesubjects, age 22—35 • 96 subjects (52 females and 44 males) • 83, 129, 234, 463 and 1015-node resolutions • 5 differentweightfunctions • Mathematicalanalysis
Whatweknowaboutbrain and gender • Femaleshave… • smallerbrains • largergray/whiteratio • largercorticalthicknessand corticalcomplexity • Hippocampus and amygdala • Homosexualityand braincharacteristics of theoppositesex (Savic, Lindström 2008)
Our results • Women’sbrains… • …havemore edgesongeneral • Densernetwork
Our results • …have a largerminimum bisectionwidth • The minimum bisection ≈ separatesthe 2 hemispheres
Our results • …arebetterexpander graphs • Nodegroupshave more neighbors
Our results • …have more spanningtrees
Conclusion • Firstapplication of graphtheoryonbraingraphs • (asopposedtonetworkscience) • Women’sbraingraphs: denser and more effectivenetworks • Notexplainedsolelybythephysicalsize of thebrain
Thank you for your attention! Szalkai B, Varga B, Grolmusz V (2015) Graph Theoretical Analysis Reveals: Women’s Brains Are Better Connected than Men’s. PLoS ONE 10(7): e0130045.doi: 10.1371/journal.pone.0130045