{
  "annotation_id": "3d2f6551-c570-42e4-9cf6-27c5baea3f98",
  "date_created": "2026-03-02T18:01:35.364000Z",
  "date_modified": "2026-03-02T18:01:35.364000Z",
  "file_hash": "7bf41a0120b93ae67de83a037e7c47d5824c0993aebd595e2167294a7879e7b1",
  "private": false,
  "record": {
    "abstract": "We present a model for a biological reactor in which bacteria tend to\naggregate in flocs, as encountered in wastewater treatment plants. The\ninfluence of this flocculation on the growth dynamics of the bacteria is\nstudied. We argue that a description in terms of a specific growth rate is\npossible when the flocculation dynamics is much faster than the other processes\nin the system. An analytical computation shows that in this case, the growth\nrate is density-dependent, i.e., depends both on the substrate and the biomass\ndensity. When the flocculation time scale overlaps with the other time scales\npresent in the system, the notion of specific growth rate becomes problematic.\nHowever, we show numerically that a density-dependent growth rate can still\naccurately describe the system response to certain perturbations.",
    "arxiv_id": "q-bio/0610042",
    "authors": [
      "Bart Haegeman",
      "Claude Lobry",
      "Jerome Harmand"
    ],
    "categories": [
      "q-bio.PE"
    ],
    "title": "An effective model for flocculating bacteria with density-dependent   growth dynamics",
    "url": "https://arxiv.org/abs/q-bio/0610042"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6f8dfd20-5933-49c5-ae58-28dd1bcaec84",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}