Outputs (13)

A mathematical model of signalling molecule-mediated processes during regeneration of osteochondral defects after chondrocyte implantation (2024)
Journal Article
Campbell, K., Naire, S., & Kuiper, J.-H. (2024). A mathematical model of signalling molecule-mediated processes during regeneration of osteochondral defects after chondrocyte implantation. Journal of Theoretical Biology, Article 111874. https://doi.org/10.1016/j.jtbi.2024.111874

Treating bone-cartilage defects is a fundamental clinical problem. The ability of damaged cartilage to self-repair is limited due to its avascularity. Left untreated, these defects can lead to osteoarthritis. Details of osteochondral defect repair ar... Read More about A mathematical model of signalling molecule-mediated processes during regeneration of osteochondral defects after chondrocyte implantation.

Journal of Theoretical Biology A mathematical model of signalling molecule-mediated processes during regeneration of osteochondral defects after chondrocyte implantation --Manuscript Draft-- Manuscript Number: JTB-D-23-00814R1 (2024)
Journal Article
Campbell, K., Naire, S., & Kuiper, J.-H. (2024). Journal of Theoretical Biology A mathematical model of signalling molecule-mediated processes during regeneration of osteochondral defects after chondrocyte implantation --Manuscript Draft-- Manuscript Number: JTB-D-23-00814R1. Journal of Theoretical Biology, 592,

Treating bone-cartilage defects is a fundamental clinical problem. The ability of damaged cartilage to self-repair is limited due to its avascularity. Left untreated, these defects can lead to osteoarthritis. Details of osteochondral defect repair ar... Read More about Journal of Theoretical Biology A mathematical model of signalling molecule-mediated processes during regeneration of osteochondral defects after chondrocyte implantation --Manuscript Draft-- Manuscript Number: JTB-D-23-00814R1.

The thermo-viscous fingering instability of a cooling spreading liquid dome (2023)
Journal Article
Algwauish, G., & Naire, S. (2023). The thermo-viscous fingering instability of a cooling spreading liquid dome. Physics of Fluids, 35(11), Article 112109. https://doi.org/10.1063/5.0173902

We investigate a theoretical model of a molten viscous planar liquid dome spreading under gravity over an inclined substrate. The liquid in the dome cools as it spreads, losing its heat to the surrounding colder air and substrate. Coupled nonlinear... Read More about The thermo-viscous fingering instability of a cooling spreading liquid dome.

THE ROLE OF THERMOVISCOUS AND THERMOCAPILLARY EFFECTS IN THE COOLING OF A MOLTEN FREE LIQUID FILM DRAINING DUE TO GRAVITY (2023)
Journal Article
Naire. (2023). THE ROLE OF THERMOVISCOUS AND THERMOCAPILLARY EFFECTS IN THE COOLING OF A MOLTEN FREE LIQUID FILM DRAINING DUE TO GRAVITY. Fluids, https://doi.org/10.3390/fluids8050153

We consider theoretically the two-dimensional flow in a vertically-aligned thick molten liquid film to investigate the competition between cooling and draining due to gravity, relevant in the formation of metallic foams. The molten liquid in the film... Read More about THE ROLE OF THERMOVISCOUS AND THERMOCAPILLARY EFFECTS IN THE COOLING OF A MOLTEN FREE LIQUID FILM DRAINING DUE TO GRAVITY.

The Role of Thermoviscous and Thermocapillary Effects in the Cooling and Gravity-Driven Draining of Molten Free Liquid Films (2023)
Journal Article
Alahmadi, H., & Naire, S. (2023). The Role of Thermoviscous and Thermocapillary Effects in the Cooling and Gravity-Driven Draining of Molten Free Liquid Films. Fluids, 8(5), Article 153. https://doi.org/10.3390/fluids8050153

We theoretically considered two-dimensional flow in a vertically aligned thick molten liquid film to investigate the competition between cooling and gravity-driven draining, which is relevant in the formation of metallic foams. Molten liquid in films... Read More about The Role of Thermoviscous and Thermocapillary Effects in the Cooling and Gravity-Driven Draining of Molten Free Liquid Films.

Non-Newtonian and viscoplastic models of a vertically-aligned thick liquid film draining due to gravity (2022)
Journal Article
Naire, S., & Alahmadi, H. N. (2022). Non-Newtonian and viscoplastic models of a vertically-aligned thick liquid film draining due to gravity. Physics of Fluids, 34(1), https://doi.org/10.1063/5.0075248

We consider theoretically the two-dimensional flow in a vertically-aligned thick liquid film supported at the top and bottom by wire frames. The film gradually thins as the liquid drains due to gravity. We focus on investigating the influence of non-... Read More about Non-Newtonian and viscoplastic models of a vertically-aligned thick liquid film draining due to gravity.

A mathematical model of cartilage regeneration after chondrocyte and stem cell implantation - II: The effects of co-implantation (2019)
Journal Article
Naire, & Kuiper. (2019). A mathematical model of cartilage regeneration after chondrocyte and stem cell implantation - II: The effects of co-implantation. Journal of Tissue Engineering, 1-14. https://doi.org/10.1177/2041731419827792

We present a mathematical model of cartilage regeneration after cell therapy, to show how co-implantation of stem cells (mesenchymal stem cells) and chondrocytes into a cartilage defect can impact chondral healing. The key mechanisms involved in the... Read More about A mathematical model of cartilage regeneration after chondrocyte and stem cell implantation - II: The effects of co-implantation.

A mathematical model of cartilage regeneration after chondrocyte and stem cell implantation - I: The effects of growth factors (2019)
Journal Article
Campbell, K., Kuiper, J., & Naire, S. (2019). A mathematical model of cartilage regeneration after chondrocyte and stem cell implantation - I: The effects of growth factors. Journal of Tissue Engineering, 1-16. https://doi.org/10.1177/2041731419827791

Autologous Chondrocyte Implantation is a cell-based therapy for treating chondral defects. The procedure begins by inserting chondrocytes into the defect region. The chondrocytes initiate healing by proliferating and depositing extracellular matrix,... Read More about A mathematical model of cartilage regeneration after chondrocyte and stem cell implantation - I: The effects of growth factors.

An adaptive moving mesh method for two-dimensional thin film flow equations with surface tension (2019)
Journal Article
Alharbi, A., & Naire, S. (2019). An adaptive moving mesh method for two-dimensional thin film flow equations with surface tension. Journal of Computational and Applied Mathematics, 365, 219-230. https://doi.org/10.1016/j.cam.2019.02.010

In this paper, we extend our previous work [A. Alharbi and S. Naire, An adaptive moving mesh method for thin film flow equations with surface tension, J. Computational and Applied Mathematics, 319 (2017), pp. 365-384.] on a one-dimensional r-adaptive... Read More about An adaptive moving mesh method for two-dimensional thin film flow equations with surface tension.

An adaptive moving mesh method for thin film flow equations with surface tension (2017)
Journal Article
Naire. (2017). An adaptive moving mesh method for thin film flow equations with surface tension. Journal of Computational and Applied Mathematics, 365-384. https://doi.org/10.1016/j.cam.2017.01.019

We present an adaptive moving mesh method for the numerical solution of thin liquid film spreading flows with surface tension. We follow the r-adaptive moving mesh technique which utilises a mesh density function and moving mesh partial differential... Read More about An adaptive moving mesh method for thin film flow equations with surface tension.