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Modeling Transient Free Convection and Nanofluid Effects in Follicular Dynamics: A Delay Differential Equation Approach to Fertility and Endocrine Regulation

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  • Raphael Ehikhuemhen Asibor

    (Igbinedion University, Okada. Edo State, Nigeria Computational Fluid Dynamics, Modelling and Biomathematics)

  • Godwill Eromonsele Agbon-Ojeme

    (Igbinedion University, Okada. Edo State, Nigeria Consultant Obstetrician and Gynecology)

  • John Osaretin Osarenkhoe

    (Igbinedion University, Okada. Edo State, Nigeria Consultant Cardiologist)

Abstract

Understanding follicular dynamics is critical for advancing fertility treatments and endocrine regulation strategies. This study develops a mathematical model integrating transient free convection, nanofluid effects, heat sources, and chemical reactions in intra-follicular processes and inter-follicular communication. Delay differential equations (DDEs) are employed to capture the delayed responses in follicle wave interactions. The governing equations for momentum, energy, mass transport, and continuity are formulated and transformed using similarity transformation. A numerical approach is implemented to solve the coupled equations, and results are analyzed in terms of velocity, temperature, and concentration profiles. The findings provide insights into the influence of biochemical interactions on follicular wave dynamics, offering potential applications in assisted reproductive technologies (ART) and endocrine therapies.

Suggested Citation

  • Raphael Ehikhuemhen Asibor & Godwill Eromonsele Agbon-Ojeme & John Osaretin Osarenkhoe, 2025. "Modeling Transient Free Convection and Nanofluid Effects in Follicular Dynamics: A Delay Differential Equation Approach to Fertility and Endocrine Regulation," International Journal of Research and Innovation in Applied Science, International Journal of Research and Innovation in Applied Science (IJRIAS), vol. 10(2), pages 500-515, February.
    • Handle: RePEc:bjf:journl:v:10:y:2025:i:2:p:500-515
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