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<p>The solute dispersion of nano-drug particles plays a crucial role in enhancing drug capture efficiency during controlled drug targeting. While fractional derivatives are commonly applied in blood flow studies, their role in drug-nano dispersion under magnetically controlled drug targeting remains underexplored. This study develops a mathematical model to investigate the solute dispersion of drug-loaded magnetic nanoparticles near a tumor under an external magnetic field. Blood flow is modeled as a Jeffery viscoelastic fluid, governed by a Caputo time-fractional partial differential equation with a pulsatile pressure gradient and vibration effects. The backward time and central space finite difference method is used to solve the fractional dispersion equation, while numerical integration is applied for fluid velocity calculations. The results show that increasing the fractional order, Peclet number, and source term enhances solute dispersion, whereas drug elimination and the Reynolds number negatively impact dispersion. Findings indicate that optimizing nanoparticle volume fraction, magnetization, and size can improve drug delivery efficiency. This study is particularly relevant in cases where the interaction between shear-thinning effects, memory influences, and external forces (such as magnetic fields) dictates the precise localization and retention of nanoparticles at the tumor site. These insights could aid biomedical engineers in designing advanced magnetic-field-based drug delivery systems for cancer treatment.</p>

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Unsteady fractional dispersion under controlled targeted drug elimination and non-Newtonian rheology

  • 期刊论文

  • 发表日期：

    2025年5月18日

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  • Habtamu Bayissa Yadeta,
  • Sachin Shaw

摘要

The solute dispersion of nano-drug particles plays a crucial role in enhancing drug capture efficiency during controlled drug targeting. While fractional derivatives are commonly applied in blood flow studies, their role in drug-nano dispersion under magnetically controlled drug targeting remains underexplored. This study develops a mathematical model to investigate the solute dispersion of drug-loaded magnetic nanoparticles near a tumor under an external magnetic field. Blood flow is modeled as a Jeffery viscoelastic fluid, governed by a Caputo time-fractional partial differential equation with a pulsatile pressure gradient and vibration effects. The backward time and central space finite difference method is used to solve the fractional dispersion equation, while numerical integration is applied for fluid velocity calculations. The results show that increasing the fractional order, Peclet number, and source term enhances solute dispersion, whereas drug elimination and the Reynolds number negatively impact dispersion. Findings indicate that optimizing nanoparticle volume fraction, magnetization, and size can improve drug delivery efficiency. This study is particularly relevant in cases where the interaction between shear-thinning effects, memory influences, and external forces (such as magnetic fields) dictates the precise localization and retention of nanoparticles at the tumor site. These insights could aid biomedical engineers in designing advanced magnetic-field-based drug delivery systems for cancer treatment.