Volume-11 , Issue-1 , Feb 2024, ISSN 2348-4519 (Online) Go Back

• Open Access   Article

  Ellipse Perimeter Approximation: Two High Accuracy Formulae Derived From a Perimeter Property

  K. Idicula Koshy

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.11 , Issue.1 , pp.1-5, Feb-2024

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  There is no simple formula for the exact perimeter of an ellipse; but there are several formulae giving approximate value of the perimeter. However, some of them fail to give the correct perimeter for degenerate ellipse; some others, though simple, provide very low accuracy level. In this research article the author introduces two high accuracy formulae derived from a geometric property of the elliptic arc in the first quadrant. Both these formulae are applicable to ellipses of all aspect ratios and the absolute relative error yields are less than one centimeter per kilometer.

  Key-Words / Index Term
  Ellipse, Aspect Ratio, Perimeter, Simpson’s Rule, p-norm, Absolute Relative Error, ppm.

  References
  [1] Erwin Kreiszig, ‘Advanced Engineering Mathematics’ Ch. 17; Wiley, 2010.
  [2] Gerard P Michon, ‘Perimeter of an ellipse: A Review’, Weblink: Numericana
  [3] K.I. Koshy, ‘A new Approx. Formula by a new Approach’ IJESIRD, July, Vol.6, Issue.1, pp.1-6, 2019.
  [4] K. Idicula Koshy, ‘Ellipse Perim. Approx. by p-norm formula’, BOMSR, Vol.11, Issue.4, pp.93-97, 2023.

  Citation
  K. Idicula Koshy, "Ellipse Perimeter Approximation: Two High Accuracy Formulae Derived From a Perimeter Property," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.11, Issue.1, pp.1-5, 2024

• Open Access   Article

  Utilizing CPM and PERT in project planning and scheduling, incorporating Linear Programming

  Mansur Nuhu A., Suleiman K., M. Hassan, Nazir Isma`il I.

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.11 , Issue.1 , pp.6-10, Feb-2024

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  Achieving the timely and cost-effective completion of a project presents a significant challenge, with the key hurdle residing in the effective planning and scheduling of the project. These aspects are crucial in accurately predicting both the time and cost dimensions. This research specifically concentrates on finding a balance between the cost of a project (crashing the project) and the minimum anticipated time required for the conclusion of a construction project. Information regarding the costs and durations of diverse activities was gathered from Bunyan Ltd., a construction firm situated in the Kano state of Nigeria. The study employed both the Critical Path Method (CPM) and the Project Evaluation and Review Technique (PERT). Linear programming was applied to reduce both time and cost for various activities, leading to the identification of the critical path. The subsequent examination disclosed that the project`s shortest possible duration is now 40 days, a substantial reduction from the initially expected 79 days. This underscores that precise scheduling of activities resulted in a noteworthy 39-day decrease in the anticipated completion time. However, this reduction incurred an additional cost of N 142,175.27, increasing the initial projected cost for project completion from N 4,305,920.71 to N 4,448,095.99.

  Key-Words / Index Term
  Linear programming, Planning, CPM, PERT, Crashing, Critical path

  References
  [1] Wallace Agyei., “Project Planning and Scheduling Using PERT and CPM Techniques with Linear Programming,” International Journal of Scientific & Technology Research, Vol.4, Issue.8, pp. 222-227, 2019.
  [2] A. H. Taha, “Operations research: An Introduction,” Pearson Education, Inc. and Dorling Kindersley Publishing Inc. Eight edition, pp. 295-313. 2007.
  [3] K. Sunita, B. Snigdha, “CPM Analysis of Rolai-Rinjlai Road Construction,” Research Journal of Mathematical and Statistical Sciences, Vol.1, No.2, pp. 7-15, 2017.
  [4] C. Gueret, M. Sevaux, “Applications of Optimization with Xpress- MP,” translated and revised by Susanne Heipke, Dash Optimization Ltd., London. First Edition, pp. 159-178, 2002.
  [5] R.T. Ahuja, J. Orlin, “Network Flows: Theory, Algorithms and Applications” Prentice Hall, Upper Saddle River, NJ. Revised Edition, pp. 217-243, 2001.
  [6] S. A. Adebowale, E. D. Oluboyede, “Network analysis and building construction: Implications for timing and costing of activities,” Journal of Civil Engineering and Construction Technology, Vol. 2, No. 5, pp. 90-100, 2022.
  [7] A. M. Aliyu, “Use of CPM in project management: A pragmatic study,” Global Journal of Pure and Applied Sciences, Vol. 18, No. 3, pp. 197-206, 2022.
  [8] P. Weaver, "A Brief History of Scheduling: Back to the Future" (PDF). Retrieved 2 December, 2023.
  [9] G. E. Nworuh, “Network planning in implementation of public projects in Nigeria, empirical study,” Interworld journal of management development studies, Vol. 1, No. 1, pp. 265-275, 2021.
  [10] K. J. Bassey, P. E. Chigb, “On building decisions based model via coherent pluralism”, Global journal of pure and applied sciences, Vol. 8, No. 3, pp. 347-355, 2020.

  Citation
  Mansur Nuhu A., Suleiman K., M. Hassan, Nazir Isma`il I. , "Utilizing CPM and PERT in project planning and scheduling, incorporating Linear Programming," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.11, Issue.1, pp.6-10, 2024

• Open Access   Article

  A Multi Objective Offering Inventory Model with time Dependent Demand

  Satya Kumar Das

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.11 , Issue.1 , pp.11-16, Feb-2024

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  Abstract
  In this article, I have presented a multi objective offering inventory model with limitation on initial invested money. Any offer on any things always attracts the customers so in this model to increase customer attraction, here purchase cost offering on quantity and demand is time dependent. Limitation is considered on set up cost and purchase cost. Costs are not specific so all cost parameters are considered as the generalized triangular fuzzy number. My formulated multi objective fuzzy inventory system has been solved by Fuzzy programming technique with hyperbolic membership function. A numerical example is taken to elaborate the inventory model. Sensitivity analysis and the graphical representations have been displayed to represent the truth of the model.

  Key-Words / Index Term
  Inventory, offering, Multi-item, Fuzzy number, Fuzzy Technique.

  References
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  [18] H.M. Wee, J.Yu.“A deteriorating inventory model with a temporary price discount”, Int. J. Prod. Econ., 53 (1), pp. 81-90, 1997.
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  [25] Payel Mandal & Bibhas Chandra Giri (2017): “A two-warehouse integrated inventory model with imperfect production process under stock-dependent demand and quantity discount offer”, International Journal of Systems Science: Operations & Logistics, DOI: 10.1080/23302674.2017.1335806.
  [26] Shaikh AA, Khan MAA, Panda GC and Konstantaras I, “Price discount facility in an EOQ model for deteriorating items with stock-dependent demand and partial backlogging”, International Transactions in Operational Research, 26(4), pp 1365-1395, 2019.
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  [28] Garai T, Chakraborty D, & Roy TK, “A Multi-item Inventory Model with Fuzzy Rough Coefficients via Fuzzy Rough Expectation”, Springer Proceedings in Mathematics & Statistics, 377– 394, 2018. https://doi.org/10.1007/978-981-10-7814-9_26.
  [29] Garai T, Chakraborty D, Roy TK, “Multi-objective inventory model with both stock-dependent demand rate and holding cost rate under fuzzy random environment”. Ann Data Sci, 6, pp 61–81, 2019.
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  [32] Das SK, “Multi item inventory model include lead time with demand dependent production cost and set-up-cost in fuzzy environment.” Journal of Fuzzy Extension and Applications, 1(3) pp 227- 243, 2020.
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  [34] Garai T, Chakraborty D & Roy TK, “Expected Value of Exponential Fuzzy Number and Its Application to Multi-item Deterministic Inventory Model for Deteriorating Items”. J. Uncertain. Anal. Appl, 2017.https://doi.org/10.1186/s40467-017-0062-7.
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  Citation
  Satya Kumar Das, "A Multi Objective Offering Inventory Model with time Dependent Demand," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.11, Issue.1, pp.11-16, 2024

• Open Access   Article

  Heat and Mass Transfer in Radiant-Magnetohydrodynamics Squeeze Flow of Vanadium Pentoxide (V2O5)-Based Jeffrey Hybrid Nanofluid with Heat Source/Sink

  A.G. Madaki, A.A. Hussaini, Philemon Lare

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.11 , Issue.1 , pp.17-23, Feb-2024

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  Abstract
  our work exposes the properties of the transmission of heat and mass in Jefferies nanofluids that are hybrid over the squeezing tunnel that travels across a porous material, as well as the nature of magnetohydrodynamics (MHD) fluid flow. The influence by thermal radiation parameters together with other pertinent parameters is studied. Suitable similarity transformation is applied to the system of dimensionless equations to discretize them. Vanadium Pentoxide (V2O5) dispersions are deliberated in the base fluid. Validation of this research is achieved by relating to published results. Graphs and tables are used to discuss the momentum, temperature, Nusselt number and concentration profiles. The graphical results show that the momentum profile accelerated with De and S < 0, while it reduced with Ha, ? as well as S > 0.

  Key-Words / Index Term
  Jeffrey hybrid nanofluid, MHD, Squeeze flow, Thermal radiation, Chemical reaction, squeezing flow, heat source/ sink

  References
  [1] N.S. Akbar, S. Nadeem, R.U.I. Haq, Z.H. Khan, “Radiation effects on MHD stagnation point flow of nanofluid towards a stretching surface with convective boundary condition”, Chinese Journal of Aeronautics, Vol. 26, No 6, pp. 1389–1397, 2013
  [2] M. Stefan, “Experiments on apparent adhesion”, the London, Edinburgh, and Dublin, Philosophical Magazine and Journal of Science, Vol. 47, No 314, pp. 465– 466, 1874.Cameron A., ‘Basic Lubrication Theory’, Prentice Hall Europe, 1981.
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  [6] M. M. Rashidi, H. Shahmohamadi, S. Dinarvand, “Analytic Approximate Solutions for Unsteady Two-Dimensional and Axisymmetric Squeezing Flows between Parallel Plates”, Mathematical Problems in Engineering, 2008, pp.1- 15, 2008.doi:10.1155/2008/935095.
  [7] U. Khan, N. Ahmed, S.I. Khan, Z.A. Zaidi, Y. Xiao-Jun, S.T. Mohyud-Din, On unsteady two-dimensional and axisymmetric squeezing flow between parallel plates’, Alexandria Engineering Journal, Vol. 53, No 2, pp. 463–468, 2014.
  [8] N.A.M. Noor, S. Shafie, M.A. Admon, “MHD squeezing flow of Casson nanofluid with chemical reaction, thermal radiation and heat generation/absorption”, Advance Research in Fluid Mechanics and Thermal Science Vol. 68, No 2, pp. 94–111, 2020.
  [9] M. Matinfar, M. Ghasemi, “Solving bvps with shooting method and vimhp”, Journal of the Egyptian Mathematical Society. Vol. 21, pp. 354–360, 2013.
  [10] A.G. Madaki, R. Roslan, M.S. Rusiman, C.S.K. Raju, “Analytical and numerical solutions of squeezing unsteady cu and TiO2–nanofluid flow in the presence of thermal radiation and heat generation/absorption”. Alexandria Engineering Journal, Vol. 57 No 2, pp. 1033-1040, 2018.
  [11] S. U. Mamatha, M. K. Murthy, C. S. K. Raju, M. M. Hoque, “Heat transfer effects on MHD flow of Jeffrey fluid over a shrinking sheet with heat source/sink and mass suction”, International Journal of research in Sciences& Engineering. Special issue, pp. 85–93, 2018.
  [12] W. A. Khan, O. D. Makinde, Z. H. Khan, “Non-aligned MHD stagnation point flow of variable viscosity nanofluids past a stretching sheet with radiative heat”, International Journal of Heat and Mass Transfer. Vol. 96, pp. 525–534, 2016.
  [13] O. D. Makinde, F. Mabood, W. A. Khan, M. S. Tshehla, “MHD flow of a variable viscosity nanofluid over a radially stretching convective surface with radiative heat”, Journal of Molecular Liquids. Vol. 219, pp. 624–630, 2016.
  [14] K. Avinash, N. Sandeep, O. D. Makinde, I. L. Animasaun, “Aligned Magnetic Field Effect on Radiative Bioconvection Flow Past a Vertical Plate with Thermophoresis and Brownian motion”, Defect and Diffusion Forum, Vol. 377, pp. 127– 140, 2017. https://doi.org/10.4028/www.scientific.net/ddf.377.127.
  [15] B. Mahanthesh, B. Gireesha, I. Animasaun, “Exploration of Non-Linear Thermal Radiation and Suspended Nanoparticles Effects on Mixed Convection Boundary Layer Flow of Nanoliquids on a Melting Vertical Surface”, Journal of Nanofluids, Vol. 7, No 5, pp. 833- 843, 2018. 10.1166/jon.2018.1521.
  [16] N.A.M. Noor, S. Shafie, M.A. Admon, “Heat and mass transfer on MHD squeezing flow of Jeffrey nanofluid in horizontal channel through permeable medium”, PLoS One Vol. 16, No 5, pp. e0250402, 2021.
  [17] M. Qasim, “Heat and mass transfer in a Jeffrey fluid over a stretching sheet with heat source/sink”, Alexandria Engineering Journal, Vol. 52, No 4, pp. 571–575, 2013.
  [18] N. Ahmed, F. Saba, U. Khan, I. Khan, T.A. Alkanhal, I. Faisal,S.T. Mohyud-Din, “Spherical shaped (Ag? Fe3O4/H2O) hybrid nanofluid flow squeezed between two riga plates with nonlinear thermal radiation and chemical reaction effects”, Energies Vol. 12, No 1, 76, 2018.
  [19] W. Alghamdi, T. Gul, M. Nullah, A. Rehman, S. Nasir, A. Saeed, E. Bonyah, “Boundary layer stagnation point flow of the Casson hybrid nanofluid over an unsteady stretching surface”, AIP Advances Vol. 11, No 1, pp. 3- 8, 2021.
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  [25] A. G. Madaki, D. G. Yakubu, M. Y. Adamu, R. Roslan, “The study of MHD Nanofluid flow with chemical reaction along with thermophoresis and Brownian motion on boundary layer flow over a linearly stretching sheet, Journal of pure and applied sciences, Vol. 19, No 83 – 91, 2019.
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  Citation
  A.G. Madaki, A.A. Hussaini, Philemon Lare, "Heat and Mass Transfer in Radiant-Magnetohydrodynamics Squeeze Flow of Vanadium Pentoxide (V2O5)-Based Jeffrey Hybrid Nanofluid with Heat Source/Sink," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.11, Issue.1, pp.17-23, 2024

• Open Access   Article

  Intervention Model Based on Exponential Smoothing Methods and ARIMA Modelling of the Nigerian Naira Exchange Rates

  Elisha J. Inyang

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.11 , Issue.1 , pp.24-33, Feb-2024

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  Abstract
  Nigeria`s poor handling of the currency crisis has made exchange rates the country`s main issue. This is made worse by her near total reliance on imports for consumption and her need for foreign cash from the export of crude oil. Consequently, Nigeria`s economic success is heavily reliant on the fluctuations of other global currencies. The study is aimed at modelling exchange rates between the Nigerian naira and the Pakistani rupee during a financial slump using an intervention modelling approach constructed on exponential smoothing methods and the ARIMA model with a view to making comparisons. The dataset used in this study is the daily exchange rates of Pakistani rupees to Nigerian naira spanning from January to December 2016. Results revealed that the 2016 economic downturn had a negative impact on the naira, with a percentage change of 47.51. This implies that rupees appreciated over the naira such that Rs1 PKR = 1.9524 NGN compared to the periods before and after the intervention occurred. The economic recession was considered a step function with a delay of 1 period and a gradual-permanent effect with a decay rate of 0.60. Comparatively speaking, nonetheless, the ARIMA-intervention model outperformed the ETS-intervention model.

  Key-Words / Index Term
  Exponential smoothing methods, ARIMA, Intervention model, Exchange rates.

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  Citation
  Elisha J. Inyang, "Intervention Model Based on Exponential Smoothing Methods and ARIMA Modelling of the Nigerian Naira Exchange Rates," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.11, Issue.1, pp.24-33, 2024

• Open Access   Article

  Fractional Mathematical Modelling of Blood Flow Dynamics in Arterial Segments for The Treatment of Cardiovascular Diseases

  Mukhtar Abubakar Maiwada, Adamu Garba Tahiru, Isah Abdullahi, Idris Babaji Muhammad

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.11 , Issue.1 , pp.34-42, Feb-2024

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  Abstract
  This study presents a comprehensive numerical analysis of electro-magneto-hydrodynamic (EMHD) blood flow through arterial segments with a focus on potential implications for cardiovascular therapeutics. The investigation encompasses the impact of various parameters, including electrokinetic width, particle concentration, chemical reaction, and heat source, on blood velocity, nanoparticle velocity, and concentration profiles. The findings reveal the potential for enhanced targeting and delivery of therapeutic nanoparticles through the manipulation of magnetic fields, indicating promising prospects for targeted drug delivery in cardiovascular disease treatments. Additionally, the complex interplay between chemical reactions and blood flow dynamics underscores the need for a refined understanding of these interactions for potential therapeutic interventions. The study also highlights the significance of considering heat transfer dynamics in EMHD blood flow, offering insights into potential implications for cardiovascular health and disease management. Overall, the numerical analysis provides valuable insights into the rheological behaviour of blood and its potential applications in cardiovascular therapeutics, emphasizing the need for further research in this critical area of study.

  Key-Words / Index Term
  Nano Particles, Arterial Segment, Cardiovascular Diseases, Time-Fractional Derivative

  References
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  [9] S. A. Yakubu, I. A. Oyelakin, and O. O. Oyelakin, "Numerical simulation of electro-magneto-hydrodynamic blood flow through arterial segments with magnetic field," Journal of Mechanics in Medicine and Biology, vol.21, no.1, p.2150001, 2021.
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  [17] N. S. Akbar, S. Nadeem, and C. Lee, "MHD flow of Jeffrey fluid with convective boundary conditions," Journal of the Korean Physical Society, vol.59, no.6, pp. 3737-3744, 2011.
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  Citation
  Mukhtar Abubakar Maiwada, Adamu Garba Tahiru, Isah Abdullahi, Idris Babaji Muhammad, "Fractional Mathematical Modelling of Blood Flow Dynamics in Arterial Segments for The Treatment of Cardiovascular Diseases," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.11, Issue.1, pp.34-42, 2024

• Open Access   Article

  Evaluating the Influence of Teachers Qualification on the Academic Achievement of Students in Mathematics

  Mansur Nuhu A., Suleiman K., M. Hassan, Nazir Isma`il I.

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.11 , Issue.1 , pp.43-47, Feb-2024

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  Abstract
  This research aims to explore the influence of teachers` qualifications on students` academic performance in the field of mathematics, with a specific focus on the educational scenario in the Kumbotso Local Government Area of Kano State. Acknowledging the crucial role educators play in shaping students` academic outcomes, this study intends to uncover the relationship between teacher qualifications and the mathematical achievements of students. Employing a case study methodology, the research utilizes data gathered from schools within the Kumbotso Local Government Area. It involves a thorough examination of factors such as teachers` educational background, certifications, and teaching experience, correlating these elements with the academic success of their students. Through this analysis, the study aims to provide insights into the impact of teachers` qualifications on the quality of mathematics education in the region. The anticipated findings of this study are expected to offer valuable information for educational policymakers, administrators, and educators, assisting them in making informed decisions regarding teacher qualifications and professional development to enhance overall academic performance in mathematics within the Local Government Area.

  Key-Words / Index Term
  Academic, Achievement, Quality Education, Teachers’ qualification, Teaching experience

  References
  [1] T.O. Abe, “Effect of Teachers’ Qualifications on Students’ Performance in Mathematics,” Sky Journal of Education, Vol 2, No. 1, pp213-212, 2019.
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  [3] S.A. Adesemowo, “The relationship between supervisory climate and teacher-student performance in secondary in Oyo State, Nigeria,” Unpublished Ph.D. thesis, educational management department, University of Ibadan, 2021.
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  [14] P.D. Rasheed , “The school teacher student relations and values,” UNICEF, APH Publishing Corporation, Vol. 2 No.34, pp. 12-34, 2000.

  Citation
  Mansur Nuhu A., Suleiman K., M. Hassan, Nazir Isma`il I., "Evaluating the Influence of Teachers Qualification on the Academic Achievement of Students in Mathematics," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.11, Issue.1, pp.43-47, 2024

• Open Access   Article

  Numerical Results on the Radiative MHD Squeeze Flow of Vanadium Pentoxide (V2O5)-Based Jeffrey Hybrid Nanofluid through Porous Parallel Plates

  A.G. Madaki, A.A. Hussaini, Philemon Lare

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.11 , Issue.1 , pp.48-55, Feb-2024

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  Abstract
  our exploration is mainly concerned with the properties of the heat and mass transfer in Jefferies hybrid nanofluids over the squeezing tunnel that travels across a porous material. We also studied the nature of magnetohydrodynamics (MHD) fluid flow. Thermal radiation parameters effects together with other pertinent parameters were studied. Suitable similarity transformation is applied while discretizing the system of dimensionless equations. Vanadium Pentoxide (V2O5) dispersions are deliberated in the base fluid. Validation of this research is achieved by relating to published results. Graphs and tables are used to discuss the momentum, temperature and Nusselt number profiles. The graphical results show that the momentum profile, as well as temperature profile, are decreased with an increase in the Squeeze number, Deborah number and Hartman number. The Temperature and Nusselt number profiles increase with an increase in the Squeeze parameter, heat source/ sink parameter, Eckert number and radiation parameter, respectively.

  Key-Words / Index Term
  MHD, Squeeze flow, Jeffrey hybrid nanofluid, Thermal radiation, Eckert number, Squeezing flow, Hartman number, heat source/ sink

  References
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  [2] A.G. Madaki, R. Roslan, M.S. Rusiman, C.S.K. Raju, “Analytical and numerical solutions of squeezing unsteady cu and TiO2–nanofluid flow in the presence of thermal radiation and heat generation/absorption”. Alexandria Engineering Journal, Vol. 57 No 2, pp. 1033-1040, 2018.
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  Citation
  A.G. Madaki, A.A. Hussaini, Philemon Lare, "Numerical Results on the Radiative MHD Squeeze Flow of Vanadium Pentoxide (V2O5)-Based Jeffrey Hybrid Nanofluid through Porous Parallel Plates," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.11, Issue.1, pp.48-55, 2024

• Open Access   Article

  Evaluating the Impact of Economic Order Quantity Strategy on Organizational Performance

  Inuwa Magaji, Suleiman K., M. Hassan

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.11 , Issue.1 , pp.56-60, Feb-2024

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  Abstract
  The primary objective of this research is to assess the Inventory Control Analysis utilizing the Economic Order Quantity (EOQ) Method at Nina Plastic Ltd. The data collection process involved a preliminary survey, literature review, and field survey. Descriptive analysis was employed for data analysis. The study`s findings reveal that, based on EOQ calculations, the optimal quantity for purchasing 500ml bottles and kettles is 1,008,425 units. Notably, there is a cost saving of approximately N 217,409 per year for 500ml bottle raw materials (13.84% reduction) and around 5.88% for kettle making raw materials. The determined safety stock comprises 25,494 units of 500ml bottles and 531 units of kettles, necessitating 15 order placements per year. Additionally, the research identifies a maximum inventory of 107,429 bottles and 1,955 kettles, with reorder points set at 49,026 bottles and 1,021 kettles.

  Key-Words / Index Term
  Inventory Control, Economic Order Quantity Method, descriptive analysis

  References
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  Citation
  Inuwa Magaji, Suleiman K., M. Hassan, "Evaluating the Impact of Economic Order Quantity Strategy on Organizational Performance," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.11, Issue.1, pp.56-60, 2024

• Open Access   Article

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

  Adamu Garba Tahiru, Isah Abdullahi, Idris Babaji Muhammad, Mahmood Abdulhameed, Mukhtar Abubakar Maiwada

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.11 , Issue.1 , pp.61-68, Feb-2024

  Abstract

  Full-Text HTML

  References

  Citation

  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
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  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