IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v29y2021i03ns0218348x21500638.html
   My bibliography  Save this article

Combining Fractional Derivatives To Predict Blood Alcohol Concentration

Author

Listed:
  • J. J. ROSALES

    (División de Ingenierías Campus Irapuato-Salamanca, Universidad de Guanajuato, Carretera Salamanca-Valle de Santiago, km. 3.5 + 1.8 km., Comunidad de Palo Blanco, Salamanca, Guanajuato, México)

  • F. A. GODÃ NEZ

    (Instituto de Ingeniería, Universidad Nacional Autónoma de México, UNAM, C. U., Ciudad de México, C. P. 04510, México3Polo Universitario de Tecnología Avanzada, km. 10 PIIT, C. P. 66629, Apodaca Nuevo León, México)

  • L. MARTÃ NEZ

    (Departamento de Estudios Multidisciplinarios, División de Ingenierías Campus Irapuato-Salamanca Universidad de Guanajuato, Av. Universidad S/N Col. Yacatitas, C. P. 38944, Yuriria, Guanajuato, México)

  • O. CHÃ VEZ

    (Tecnológico Nacional de México/I. T. Chihuahua, Av. Tecnológico 2909 C. P. 31310, Chihuahua, Chih. México)

Abstract

This paper focuses on the analysis of the system of equations that describes the blood alcohol concentration (BAC) involving two linked absorption processes, first in the stomach and then in the blood. Each process was modeled with conformable and Caputo derivatives; thus, in this way, the BAC was simulated via four different derivative combinations. In the analysis, the dimensional homogeneity of the equations was maintained. The efficiency (with respect to the classical integer order model) of the obtained solutions was estimated by fitting them to experimental data. The Caputo-conformable combination leads to the highest efficiency followed by the conformable-conformable combination.

Suggested Citation

  • J. J. Rosales & F. A. Godã Nez & L. Martã Nez & O. Chã Vez, 2021. "Combining Fractional Derivatives To Predict Blood Alcohol Concentration," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(03), pages 1-10, May.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:03:n:s0218348x21500638
    DOI: 10.1142/S0218348X21500638
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X21500638
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X21500638?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:fracta:v:29:y:2021:i:03:n:s0218348x21500638. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: https://www.worldscientific.com/worldscinet/fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.