{
  "annotation_id": "3f05f15d-e0a0-4b8c-bc6d-dcfe4d64c779",
  "date_created": "2026-03-02T18:01:35.336000Z",
  "date_modified": "2026-03-02T18:01:35.336000Z",
  "file_hash": "36cea4cc618a3d151bf3f652ad68d73f1d0747c8e557cf6bfd1dae0f49b380b3",
  "private": false,
  "record": {
    "abstract": "Motivated by the abundance of directed synaptic couplings in a real\nbiological neuronal network, we investigate the synchronization behavior of the\nHodgkin-Huxley model in a directed network. We start from the standard model of\nthe Watts-Strogatz undirected network and then change undirected edges to\ndirected arcs with a given probability, still preserving the connectivity of\nthe network. A generalized clustering coefficient for directed networks is\ndefined and used to investigate the interplay between the synchronization\nbehavior and underlying structural properties of directed networks. We observe\nthat the directedness of complex networks plays an important role in emerging\ndynamical behaviors, which is also confirmed by a numerical study of the\nsociological game theoretic voter model on directed networks.",
    "arxiv_id": "q-bio/0609016",
    "authors": [
      "Sung Min Park",
      "Beom Jun Kim"
    ],
    "categories": [
      "q-bio.QM"
    ],
    "doi": "10.1103/PhysRevE.74.026114",
    "journal_ref": "Phys. Rev. E 74, 026114 (2006)",
    "title": "Dynamic behaviors in directed networks",
    "url": "https://arxiv.org/abs/q-bio/0609016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "567c1487-d32e-4683-89e8-6d49c7fd9ad0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}