Magnetic drug targeting during Caputo fractionalized blood flow through permeable vessel

Alexiou, 2011, Cancer therapy with drug loaded magnetic nanoparticles - magnetic drug targeting, J. Magn. Magn. Mater., 323, 1404, 10.1016/j.jmmm.2010.11.059 Ali, 2017, Magnetic field effect on blood flow of Casson fluid in axisymmetric cylindrical tube: a fractional model, J. Magn. Magn. Mater., 423, 327, 10.1016/j.jmmm.2016.09.125 Ali, 2018, Flow of magnetic particles in blood with isothermal heating: a fractional model for two-phase flow, J. Magn. Magn. Mater., 456, 413, 10.1016/j.jmmm.2018.02.063 Ali, 2018, Hemodynamic flow in a vertical cylinder with heat transfer: two-phase Caputo-Fabrizio fractional model, J. Magnet., 23, 179, 10.4283/JMAG.2018.23.2.179 Bali, 2016, Dispersion characteristics of non-Newtonian fluid during transportation of nanoparticles in permeable capillary, Appl. Appl. Math., 11, 632 Bansi, 2018, Fractional blood flow in oscillatory arteries with thermal radiation and magnetic field effects, J. Magn. Magn. Mater., 456, 38, 10.1016/j.jmmm.2018.01.079 Berger, 2000, Flows in stenotic vessels, Annu. Rev. Fluid Mech., 32, 347, 10.1146/annurev.fluid.32.1.347 Caputo, 1967, Linear model of dissipation whose Q is almost frequency independent- II, Geophys. J. R. Astron. Soc., 13, 529, 10.1111/j.1365-246X.1967.tb02303.x Choomphon-anomakhun, 2017, Simulation of dynamic magnetic particle capture and accumulation around a ferromagnetic wire, J. Magn. Magn. Mater., 428, 493, 10.1016/j.jmmm.2016.12.033 Furlani, 2007, A model for predicting magnetic targeting of multifunctional particles in the microvasculature, J. Magn. Magn. Mater., 312, 187, 10.1016/j.jmmm.2006.09.026 Furlani, 2006, Analytical model of magnetic nanoparticle transport and capture in the microvasculature, Phys. Rev. E, 73, 10.1103/PhysRevE.73.061919 He, 2019, Complexity in the muscular blood vessel model with variable fractional derivative and external disturbances, Physica A, 526, 10.1016/j.physa.2019.04.140 Imtiaz, 2020, Generalized model of blood flow in a vertical tube with suspension of gold nanomaterials: applications in the cancer therapy, Comput. Mater. Contin., 65, 171 Mahmoodpour, 2020, Investigation on trajectories and capture of magnetic drug carrier nanoparticles after injection into a direct vessel, J. Magn. Magn. Mater., 497, 10.1016/j.jmmm.2019.166065 Maiti, 2020, Caputo-fabrizio fractional order model on MHD blood flow with heat and mass transfer through a porous vessel in the presence of thermal radiation, Physica A, 540, 1, 10.1016/j.physa.2019.123149 Mirza, 2017, Magnetohydrodynamic approach of non- newtonian blood flow with magnetic particles in stenosed artery, Appl. Math. Mech., 38, 379, 10.1007/s10483-017-2172-7 Mondal, 2017, Transport of magneto-nanoparticles during electro-osmotic flow in amicro-tube in the presence of magnetic field for drug delivery application, J. Magn. Magn. Mater., 442, 319, 10.1016/j.jmmm.2017.06.131 Pedley, 1980 Pries, 2000, The endothelial surface layer, Eur. J. Phys., 440, 653, 10.1007/s004240000307 Rukshin, 2017, Modeling superparamagnetic particles in blood flow for applications in magnetic drug targeting, Fluids, 2, 29, 10.3390/fluids2020029 Saedi, 2018, Investigating the effect of adding nanoparticles to the blood flow in presence of magnetic field in a porous blood arterial, Inform. Med. Unlocked, 10, 71, 10.1016/j.imu.2017.10.007 Shah, 2016, Effects of the fractional order and magnetic field on the blood flow in cylindrical domains, J. Magn. Magn. Mater., 409, 10, 10.1016/j.jmmm.2016.02.013 Sharma, 2015, Mathematical modelling for trajectories of magnetic nanoparticles in a blood vessel under magnetic field, J. Magn. Magn. Mater., 379, 102, 10.1016/j.jmmm.2014.12.012 Sharma, 2015, A model for magnetic nanoparticles transport in a channel for targeted drug delivery, Procedia Mater. Sci., 10, 44, 10.1016/j.mspro.2015.06.024 Sharma, 2015, Magnetic field effect on flow parameters of blood along with magnetic particles in a cylindrical tube, J. Magn. Magn. Mater., 377, 395, 10.1016/j.jmmm.2014.10.136 Shaw, 2010, Effect of non-Newtonian characteristics of blood on magnetic targeting in the impermeable micro-vessel, J. Magn. Magn. Mater., 322, 1037, 10.1016/j.jmmm.2009.12.010 Shaw, 2017, Permeability and stress-jump effects on magnetic drug targeting in a permeable microvessel using Darcy model, J. Magn. Magn. Mater., 429, 227, 10.1016/j.jmmm.2017.01.023 Sheikh, 2017, Comparison and analysis of the Atangana-Baleanu and Caputo-Fabrizio fractional derivatives for generalized Casson fluid model with heat generation and chemical reaction, Results Phys., 7, 789, 10.1016/j.rinp.2017.01.025 Sibanda, 2014, A model for magnetic drug targeting in a permeable microvessel with spherical porous carrier particles Sutradhar, 2016, Magnetic drug targeting in an impermeable microvessel with the influence of inertia of multifunctional carrier particle, J. Nanofluids, 5, 728, 10.1166/jon.2016.1250 Tabi, 2020, Magnetic field effect on a fractionalized blood flow model in the presence of magnetic particles and thermal radiations, Chaos, Solitons Fractals, 131, 10.1016/j.chaos.2019.109540 Takayasu, 1983, Magnetic separation of submicron particles, IEEE Trans. Magnet., 19, 2112, 10.1109/TMAG.1983.1062681 Yang, 2018, Numerical analysis for electroosmotic flow of fractional Maxwell fluids, Appl. Math. Lett., 78, 1, 10.1016/j.aml.2017.10.012 Zafar, 2019, Two phase flow of blood through a circular tube with magnetic properties, J. Magn. Magn. Mater., 477, 382, 10.1016/j.jmmm.2018.08.035