{
  "id": "2304.03611",
  "version": "v1",
  "published": "2023-04-07T12:19:33.000Z",
  "updated": "2023-04-07T12:19:33.000Z",
  "title": "Absolute Concentration Robustness in Rank-One Kinetic Systems",
  "authors": [
    "Eduardo R. Mendoza",
    "Dylan Antonio SJ. Talabis",
    "Editha C. Jose",
    "Lauro L. Fontanil"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "A kinetic system has an absolute concentration robustness (ACR) for a molecular species if its concentration remains the same in every positive steady state of the system. Just recently, a condition that sufficiently guarantees the existence of an ACR in a rank-one mass-action kinetic system was found. In this paper, it will be shown that this ACR criterion does not extend in general to power-law kinetic systems. Moreover, we also discussed in this paper a necessary condition for ACR in multistationary rank-one kinetic system which can be used in ACR analysis. Finally, a concept of equilibria variation for kinetic systems which are based on the number of the system's ACR species will be introduced here.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-07T12:19:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "absolute concentration robustness",
      "multistationary rank-one kinetic system",
      "rank-one mass-action kinetic system",
      "systems acr species",
      "power-law kinetic systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}