IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v165y2022ip1s0960077922009894.html
   My bibliography  Save this article

Fractionalized mathematical models for drug diffusion

Author

Listed:
  • Shyamsunder,
  • Bhatter, S.
  • Jangid, Kamlesh
  • Purohit, S.D.

Abstract

In this study, an effort is made to develop mathematical models that may be used to explain the distribution of drug administration in the human body after oral and intravenous administration of the drug. The diffusion process was utilized to create three models, applying Fick’s principle and the law of mass action. The Sumudu transform algorithm analyzes the rate of change of concentration in various compartments, such as blood and tissue medium. The general solution of drug concentration is demonstrated in the form of extended Mittag-Leffler function. The amount of drug that is contained in each compartment has been determined via the use of numerical parameters. The effect of the fractional parameter on the drug concentration is shown in graphical form. Using MAPLE software, graphs are created to highlight the change in drug concentration over time. The fractional model gives important and relevant inferences to infer new information about the medical field.

Suggested Citation

  • Shyamsunder, & Bhatter, S. & Jangid, Kamlesh & Purohit, S.D., 2022. "Fractionalized mathematical models for drug diffusion," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    • Handle: RePEc:eee:chsofr:v:165:y:2022:i:p1:s0960077922009894
    DOI: 10.1016/j.chaos.2022.112810
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077922009894
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2022.112810?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.

    References listed on IDEAS

    as
    1. Copot, Dana & Magin, Richard L. & De Keyser, Robin & Ionescu, Clara, 2017. "Data-driven modelling of drug tissue trapping using anomalous kinetics," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 441-446.
    2. Kritika, & Agarwal, Ritu & Purohit, Sunil Dutt, 2020. "Mathematical model for anomalous subdiffusion using comformable operator," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    3. Saqib Mubarak & M. A. Khanday, 2022. "Mathematical modelling of drug-diffusion from multi-layered capsules/tablets and other drug delivery devices," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 25(8), pages 896-907, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Wang, Chuanbiao & Liu, Ruiying & Wang, Yan, 2023. "The spread dynamics model of the interaction between rumors and derivative rumors in emergencies under the control strategy," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    2. Fendzi-Donfack, Emmanuel & Kenfack-Jiotsa, Aurélien, 2023. "Extended Fan’s sub-ODE technique and its application to a fractional nonlinear coupled network including multicomponents — LC blocks," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    3. Yao, Zichen & Yang, Zhanwen & Gao, Jianfang, 2023. "Unconditional stability analysis of Grünwald Letnikov method for fractional-order delay differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Morales-Delgado, V.F. & Taneco-Hernández, M.A. & Vargas-De-León, Cruz & Gómez-Aguilar, J.F., 2023. "Exact solutions to fractional pharmacokinetic models using multivariate Mittag-Leffler functions," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    2. Wei, Q. & Yang, S. & Zhou, H.W. & Zhang, S.Q. & Li, X.N. & Hou, W., 2021. "Fractional diffusion models for radionuclide anomalous transport in geological repository systems," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    3. Carla M. A. Pinto & Ana R. M. Carvalho & Dumitru Baleanu & Hari M. Srivastava, 2019. "Efficacy of the Post-Exposure Prophylaxis and of the HIV Latent Reservoir in HIV Infection," Mathematics, MDPI, vol. 7(6), pages 1-16, June.

    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:eee:chsofr:v:165:y:2022:i:p1:s0960077922009894. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-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.