{
  "annotation_id": "1013a40f-c8a2-4db0-85a8-a13ec9d7ac27",
  "date_created": "2026-03-02T18:01:04.180000Z",
  "date_modified": "2026-03-02T18:01:04.180000Z",
  "file_hash": "8d35d8cb1eb6f74450fcc67785411e73062f85979baabc6d1c5cd3f1a037542c",
  "private": false,
  "record": {
    "abstract": "It is shown that the presence of mixed-culture growth in batch fermentation\nprocesses can be very accurately inferred from total biomass data by means of\nthe wavelet analysis for singularity detection. This is accomplished by\nconsidering simple phenomenological models for the mixed growth and the more\ncomplicated case of mixed growth on a mixture of substrates. The main quantity\nprovided by the wavelet analysis is the Holder exponent of the singularity that\nwe determine for our illustrative examples. The numerical results point to the\npossibility that Holder exponents can be used to characterize the nature of the\nmixed-culture growth in batch fermentation processes with potential industrial\napplications. Moreover, the analysis of the same data affected by the common\nadditive Gaussian noise still lead to the wavelet detection of the\nsingularities although the Holder exponent is no longer a useful parameter",
    "arxiv_id": "physics/0512186",
    "authors": [
      "V. Ibarra-Junquera",
      "P. Escalante-Minakata",
      "J. S. Murguia-Ibarra",
      "H. C. Rosu"
    ],
    "categories": [
      "physics.bio-ph"
    ],
    "doi": "10.1016/j.physa.2006.03.015",
    "journal_ref": "Physica A 370 (2006) 777-792",
    "title": "Inferring mixed-culture growth from total biomass data in a wavelet   approach",
    "url": "https://arxiv.org/abs/physics/0512186"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ca32a158-aacb-4662-afc9-62021e5bdfb6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}