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Fractionalized mathematical models for drug diffusion

Author

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  • 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
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    References listed on IDEAS

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    1. Kritika, & Agarwal, Ritu & Purohit, Sunil Dutt, 2020. "Mathematical model for anomalous subdiffusion using comformable operator," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    2. 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.
    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.
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    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).

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