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Mathematical Modelling of Magnetohydrodynamic Blood Flow through Slippery Small Arteries with Gold Nanoparticles for Breast Cancer Therapy

Adamu Garba Tahiru1 , Isah Abdullahi2 , Idris Babaji Muhammad3 , Mahmood Abdulhameed4 , Mukhtar Abubakar Maiwada5

Section:Research Paper, Product Type: Journal-Paper
Vol.11 , Issue.1 , pp.61-68, Feb-2024


Online published on Feb 28, 2024


Copyright © Adamu Garba Tahiru, Isah Abdullahi, Idris Babaji Muhammad, Mahmood Abdulhameed, Mukhtar Abubakar Maiwada . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: Adamu Garba Tahiru, Isah Abdullahi, Idris Babaji Muhammad, Mahmood Abdulhameed, Mukhtar Abubakar Maiwada, “Mathematical Modelling of Magnetohydrodynamic Blood Flow through Slippery Small Arteries with Gold Nanoparticles for Breast Cancer Therapy,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.11, Issue.1, pp.61-68, 2024.

MLA Style Citation: Adamu Garba Tahiru, Isah Abdullahi, Idris Babaji Muhammad, Mahmood Abdulhameed, Mukhtar Abubakar Maiwada "Mathematical Modelling of Magnetohydrodynamic Blood Flow through Slippery Small Arteries with Gold Nanoparticles for Breast Cancer Therapy." International Journal of Scientific Research in Mathematical and Statistical Sciences 11.1 (2024): 61-68.

APA Style Citation: Adamu Garba Tahiru, Isah Abdullahi, Idris Babaji Muhammad, Mahmood Abdulhameed, Mukhtar Abubakar Maiwada, (2024). Mathematical Modelling of Magnetohydrodynamic Blood Flow through Slippery Small Arteries with Gold Nanoparticles for Breast Cancer Therapy. International Journal of Scientific Research in Mathematical and Statistical Sciences, 11(1), 61-68.

BibTex Style Citation:
@article{Tahiru_2024,
author = {Adamu Garba Tahiru, Isah Abdullahi, Idris Babaji Muhammad, Mahmood Abdulhameed, Mukhtar Abubakar Maiwada},
title = {Mathematical Modelling of Magnetohydrodynamic Blood Flow through Slippery Small Arteries with Gold Nanoparticles for Breast Cancer Therapy},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {2 2024},
volume = {11},
Issue = {1},
month = {2},
year = {2024},
issn = {2347-2693},
pages = {61-68},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=3432},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=3432
TI - Mathematical Modelling of Magnetohydrodynamic Blood Flow through Slippery Small Arteries with Gold Nanoparticles for Breast Cancer Therapy
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Adamu Garba Tahiru, Isah Abdullahi, Idris Babaji Muhammad, Mahmood Abdulhameed, Mukhtar Abubakar Maiwada
PY - 2024
DA - 2024/02/28
PB - IJCSE, Indore, INDIA
SP - 61-68
IS - 1
VL - 11
SN - 2347-2693
ER -

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Abstract :
The research paper titled "Mathematical Modelling of Magnetohydrodynamic Blood Flow through Slippery Small Arteries with Gold Nanoparticles for Breast Cancer Therapy" introduces a novel methodology for breast cancer treatment. This approach integrates gold nanoparticles (AuNPs) into a mathematical model that accounts for magnetohydrodynamic (MHD) blood flow in small arteries. The primary objective is to enhance the precision and targeting of interventions in breast cancer therapy, aiming to minimize systemic side effects while maximizing therapeutic efficacy. The investigation explores the potential of AuNPs in targeted drug delivery, leveraging their distinctive physicochemical attributes and selective accumulation in Breast cancer tissues. Furthermore, the study incorporates MHD principles into the framework, emphasizing the impact of magnetic fields on blood flow dynamics and its implications for drug transport and distribution. Notably, the research underscores the significance of slip conditions in small arteries, which play a crucial role in influencing blood flow dynamics and are integral for accurately capturing the nuances of nanoparticle interactions. The study meticulously details the research methodology, encompassing problem formulation and the use of visual representations grounded in real-world scenarios related to the physical aspects of the system. The study`s findings contribute to the existing knowledge base by presenting a comprehensive mathematical model that encapsulates the interplay of MHD blood flow, slip conditions, and gold nanoparticles within the specific context of breast cancer therapeutics. The research holds promise for optimizing drug delivery strategies in breast cancer treatments, providing valuable insights into the potential of this innovative approach to address the complexities associated with breast cancer and elevate the precision of drug delivery.

Key-Words / Index Term :
Breast Cancer, Slippery Small Arteries, Gold Nanoparticles

References :
[1] A. Brown and B. White, "Understanding Slip Conditions in Small Arteries," Journal of Cardiovascular Modeling, vol. 10, no. 3, pp. 45-56, 2019.
[2] X. Chen, "Integration of Gold Nanoparticles in Blood Flow Modeling: Implications for Breast Cancer Treatment," Journal of Nanomedicine, vol. 15, no. 2, pp.78-91, 2021.
[3] J. Doe, "Gold Nanoparticles as Drug Delivery Vehicles in Cancer Therapy," Journal of Drug Delivery, vol.8, no.4, pp. 112-125, 2019.
[4] J. Doe, "Personalized Treatment Strategies: A Mathematical Modeling Approach," Cancer Research, vol. 25, no. 3, pp. 210-225, 2021.
[5] R.JonesandL.Smith,Magnetohydrodynamics in Blood Flow Modeling: Current Insights," Physics in Medicine and Biology, vol. 12, no. 1, pp. 34-47, 2017.
[6] M. Johnson, "Comprehensive Mathematical Model for Breast Cancer Treatment Optimization, "Journal of Mathematical Medicine, vol. 18, no. 4, pp. 189-201, 2023.
[7] Y. Kim and S. Lee, "Gold Nanoparticles as Targeted Drug Delivery Vehicles: A Review," Journal of Nanoscience and Nanotechnology, vol. 20, no. 6, pp. 3567-3583, 2018.
[8] H. Patel, "The Influence of Magnetohydrodynamics on Drug Transport in the Bloodstream," Journal of Applied Physiology, vol. 15, no. 7, pp. 234-245, 2022.
[9] S. Maiti, S. Shaw, and G. C. Shit, "Fractional order model for thermochemical flow of blood with Dufour and Soret effects under magnetic and vibration environment," Colloids Surfaces B Biointerfaces, vol. 197, 111395, 2021.
[10] J. Raza, "Thermal radiation and slip effects onmagnetohydrodynamic(MHD) stagnation point flow of Casson fluid over aconvective stretching sheet," Propuls. Power Res., vol. 18, pp. 138-146, 2019.
[11] K. Benhanifia et al., "Investigation of mixing viscoplastic fluid with a modified anchor impeller inside a cylindrical stirred vessel using Casson–Papanastasiou model," Sci. Rep., vol. 12, pp. 1–19, 2022.
[12] A. Imtiaz et al., "Generalized model of blood flow in a vertical tube with suspension of gold nanomaterials: Applications in cancer therapy," Comput. Mater. Contin., vol. 65, pp. 171–192, 2020.
[13] W. N. N. NoranuarMohamad et al.,"Non-coaxial rotation flow of MHD Casson nanofluid carbon nanotubes past a moving disk with porosity effect," Ain Shams Eng. Journal, vol. 12, pp. 4099-4110, 2021.
[14] J. Mackolil and B. Mahanthesh, "Exact and statistical computations of radiated flow of nano and Casson fluids under heat and mass flux conditions," J. Comput. Des. Eng., vol. 6, pp. 593–605, 2019.
[15] H. F. Oztop and E. Abu-Nada, "Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids," Int. J. Heat Fluid Flow, vol. 29, pp. 1326–1336, 2008.
[16] R.Padma, R. Selvi, and R. T. Ponalagusamy, "Effects of slip and magnetic field on the pulsatile flow of a Jeffrey fluid with magnetic nanoparticles in a stenosed artery," Eur. Phys. J. Plus, vol. 134, pp. 1–15, 2019.
[17] I. Khan et al., "Natural convection heat transfer in an oscillating vertical cylinder," PLoS One, vol. 13, pp. e0188656, 2018.
[18] I. A. Mirza et al., "Flows of a generalized second grade fluid in a cylinder due to a velocity shock," Chinese J. Phys., vol. 60, pp. 720–730, 2019.
[19] S. Maiti, S. Shaw, and G. C. Shit, "Caputo–Fabrizio fractional order model on MHD blood flow with heat and mass transfer through a porous vessel in the presence of thermal radiation," Phys. A Stat. Mech. its Appl., vol. 540, 123149, 2020.
[20] M. H. Esfe et al., "A critical review on pulsating flow in conventional fluids and nano fluids:Thermo-hydraulic characteristics," Int. Commun. Heat Mass Transf., vol. 120, 104859, 2021.

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