All Outputs (3)

Complex-plane singularity dynamics for blow up in a nonlinear heat equation: analysis and computation (2024)
Journal Article
Fasondini, M., King, J. R., & Weideman, J. A. C. (2024). Complex-plane singularity dynamics for blow up in a nonlinear heat equation: analysis and computation. Nonlinearity, 37(10), Article 105005. https://doi.org/10.1088/1361-6544/ad700b

Blow-up solutions to a heat equation with spatial periodicity and a quadratic nonlinearity are studied through asymptotic analyses and a variety of numerical methods. The focus is on tracking the dynamics of the singularities in the complexified spac... Read More about Complex-plane singularity dynamics for blow up in a nonlinear heat equation: analysis and computation.

Modelling the role of enzymatic pathways in the metabolism of docosahexaenoic acid by monocytes and its association with osteoarthritic pain (2024)
Journal Article
Franks, S. J., Gowler, P. R., Dunster, J. L., Turnbull, J., Gohir, S. A., Kelly, A., Valdes, A. M., King, J. R., Barrett, D. A., Chapman, V., & Preston, S. (2024). Modelling the role of enzymatic pathways in the metabolism of docosahexaenoic acid by monocytes and its association with osteoarthritic pain. Mathematical Biosciences, 374, Article 109228. https://doi.org/10.1016/j.mbs.2024.109228

Chronic pain is a major cause of disability and suffering in osteoarthritis (OA) patients. Endogenous specialised pro-resolving molecules (SPMs) curtail pro-inflammatory responses. One of the SPM intermediate oxylipins, 17-hydroxydocasahexaenoic acid... Read More about Modelling the role of enzymatic pathways in the metabolism of docosahexaenoic acid by monocytes and its association with osteoarthritic pain.

Mathematical models of coagulation—are we there yet? (2024)
Journal Article
Owen, M. J., Wright, J. R., Tuddenham, E. G., King, J. R., Goodall, A. H., & Dunster, J. L. (2024). Mathematical models of coagulation—are we there yet?. Journal of Thrombosis and Haemostasis, 22(6), 1689-1703. https://doi.org/10.1016/j.jtha.2024.03.009

Background
Mathematical models of coagulation have been developed to mirror thrombin generation in plasma, with the aim of investigating how variation in coagulation factor levels regulates hemostasis. However, current models vary in the reactions t... Read More about Mathematical models of coagulation—are we there yet?.