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Updated: Feb 5, 2026

Modeling the Functional Network for Spatial Navigation in the Human Brain
Published on: October 13, 2023
Assortative mixing in spatially-extended networks
Vladimir V Makarov1, Daniil V Kirsanov1, Nikita S Frolov1,2
1REC 'Artificial Intelligence Systems and Neurotechnology', Yurij Gagarin State Technical University of Saratov, Polytechnicheskaja str 77, 410054, Saratov, Russia.
Abstract:
We focus on spatially-extended networks during their transition from short-range connectivities to a scale-free structure expressed by heavy-tailed degree-distribution. In particular, a model is introduced for the generation of such graphs, which combines spatial growth and preferential attachment. In this model the transition to heterogeneous structures is always accompanied by a change in the graph's degree-degree correlation properties: while high assortativity levels characterize the dominance of short distance couplings, long-range connectivity structures are associated with small amounts of disassortativity. Our results allow to infer that a disassortative mixing is essential for establishing long-range links. We discuss also how our findings are consistent with recent experimental studies of 2-dimensional neuronal cultures.
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