Mathematical model on magnetic drug targeting in a permeable microvessel

S. Shaw, P. Sibanda, P. V S N Murthy

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    1 Citation (Scopus)

    Abstract

    A mathematical model is presented for predicting magnetic targeting of multifunctional carrier particles that deliver therapeutic agents to malignant tissue in vivo. These particles consist of a nonmagnetic core material that contains embedded magnetic nanoparticles and therapeutic agents such as photodynamic sensitizers. For in vivo therapy, the particles are injected into the micro vascular system upstream from malignant tissue, and captured at the tumor using an applied magnetic field. In this paper, a mathematical model is developed for predicting noninvasive magnetic targeting of therapeutic carrier particles in a micro vessel. The flow of blood in the micro vessel is described by a two phase Herschel- Bulkley fluid model. The Brinkmann model is used to characterize the permeable nature of the inner wall of the micro-vessel. The fluidic force on the carrier traversing the micro- vessel and the magnetic force due to the external magnetic field is taken into account. The model enables rapid parametric analysis of magnetic targeting as a function of key variables including the size of the carrier particle, the properties and volume fraction of the imbedded magnetic nanoparticles, the properties of the magnet, the micro vessel and the permeability of the micro vessel.

    Original languageEnglish
    Title of host publicationBiomedical and Biotechnology Engineering
    PublisherAmerican Society of Mechanical Engineers (ASME)
    Volume3 B
    ISBN (Print)9780791856222
    DOIs
    Publication statusPublished - 2013
    EventASME 2013 International Mechanical Engineering Congress and Exposition, IMECE 2013 - San Diego, CA, United States
    Duration: Nov 15 2013Nov 21 2013

    Other

    OtherASME 2013 International Mechanical Engineering Congress and Exposition, IMECE 2013
    CountryUnited States
    CitySan Diego, CA
    Period11/15/1311/21/13

    Fingerprint

    Mathematical models
    Tissue
    Magnetic fields
    Nanoparticles
    Fluidics
    Magnets
    Tumors
    Volume fraction
    Blood
    Fluids
    Drug Delivery Systems

    All Science Journal Classification (ASJC) codes

    • Mechanical Engineering

    Cite this

    Shaw, S., Sibanda, P., & Murthy, P. V. S. N. (2013). Mathematical model on magnetic drug targeting in a permeable microvessel. In Biomedical and Biotechnology Engineering (Vol. 3 B). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/IMECE2013-66606
    Shaw, S. ; Sibanda, P. ; Murthy, P. V S N. / Mathematical model on magnetic drug targeting in a permeable microvessel. Biomedical and Biotechnology Engineering. Vol. 3 B American Society of Mechanical Engineers (ASME), 2013.
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    Shaw, S, Sibanda, P & Murthy, PVSN 2013, Mathematical model on magnetic drug targeting in a permeable microvessel. in Biomedical and Biotechnology Engineering. vol. 3 B, American Society of Mechanical Engineers (ASME), ASME 2013 International Mechanical Engineering Congress and Exposition, IMECE 2013, San Diego, CA, United States, 11/15/13. https://doi.org/10.1115/IMECE2013-66606

    Mathematical model on magnetic drug targeting in a permeable microvessel. / Shaw, S.; Sibanda, P.; Murthy, P. V S N.

    Biomedical and Biotechnology Engineering. Vol. 3 B American Society of Mechanical Engineers (ASME), 2013.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

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    Shaw S, Sibanda P, Murthy PVSN. Mathematical model on magnetic drug targeting in a permeable microvessel. In Biomedical and Biotechnology Engineering. Vol. 3 B. American Society of Mechanical Engineers (ASME). 2013 https://doi.org/10.1115/IMECE2013-66606