Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Private Bag 16, Palapye, Botswana.
Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Private Bag 16, Palapye, Botswana.
Microvasc Res. 2022 Jan;139:104262. doi: 10.1016/j.mvr.2021.104262. Epub 2021 Oct 14.
Nanoparticle-based drug targeting is an important platform for the treatment of cardiovascular disorders. Magnetic drug targeting is more significant as it is a noninvasive procedure and biocompatible. The present problem aims to understand magnetic drug delivery to a specific location in a permeable blood vessel under the vibration and magnetic environment. Caputo-Fabrizio fractional-order time derivatives are used in the governing equations. The momentum equations are solved analytically and presented in the form of Lorenzo-Hartley and Robotonov-Hartley functions and convolution of the Laplace transform. Convolution integrations are solved by using the numerical integration technique. The Fourth order Runge-Kutta method (RK4) is used to solve the force balance equation. The influence of pertinent parameters such as Reynolds number, pulsatile frequency, magnetic field strength, Darcy number and fractional-order parameters are presented through graphs. It is observed that increasing Reynolds number results in decreasing the tendency of the drug to capture near the tumor site, whereas the pulsatile frequency presents an opposite phenomenon. Increasing the magnetic field strength and Darcy number boosts the capture efficiency of drug particles near the tumor site. The short memory effect efficiently captures the magnetic drug carriers to a specific location under the action of suitable magnetic field strength.
基于纳米粒子的药物靶向是治疗心血管疾病的重要平台。磁性药物靶向更为重要，因为它是一种非侵入性的程序，具有生物相容性。本研究旨在了解在振动和磁场环境下，可渗透血管中特定位置的磁性药物输送。分数阶 Caputo-Fabrizio 导数用于控制方程。动量方程通过洛伦佐-哈特利（Lorenzo-Hartley）和罗博托诺夫-哈特利（Robotonov-Hartley）函数以及拉普拉斯变换的卷积进行解析求解。卷积积分通过数值积分技术求解。四阶龙格-库塔方法（RK4）用于求解力平衡方程。通过图形展示了相关参数，如雷诺数、脉动频率、磁场强度、达西数和分数阶参数的影响。结果表明，增加雷诺数会导致药物在肿瘤部位附近的捕获趋势降低，而脉动频率则呈现相反的现象。增加磁场强度和达西数会提高药物颗粒在肿瘤部位附近的捕获效率。在适当的磁场强度作用下，短记忆效应可以有效地将磁性药物载体捕获到特定位置。
