All Outputs (2)

Modelling the emergence of cities and urban patterning using coupled integro-differential equations (2022)
Journal Article
Whiteley, T. D., Avitabile, D., Siebers, P. O., Robinson, D., & Owen, M. R. (2022). Modelling the emergence of cities and urban patterning using coupled integro-differential equations. Journal of the Royal Society, Interface, 19(190), Article 20220176. https://doi.org/10.1098/rsif.2022.0176

Human residential population distributions show patterns of higher density clustering around local services such as shops and places of employment, displaying characteristic length scales; Fourier transforms and spatial autocorrelation show the lengt... Read More about Modelling the emergence of cities and urban patterning using coupled integro-differential equations.

Mathematical modelling of cytokines, MMPs and fibronectin fragments in osteoarthritic cartilage (2017)
Journal Article
Baker, M., Brook, B. S., & Owen, M. R. (2017). Mathematical modelling of cytokines, MMPs and fibronectin fragments in osteoarthritic cartilage. Journal of Mathematical Biology, 75(4), 985-1024. https://doi.org/10.1007/s00285-017-1104-y

Osteoarthritis (OA) is a degenerative disease which causes pain and stiffness in joints. OA progresses through excessive degradation of joint cartilage, eventually leading to significant joint degeneration and loss of function. Cytokines, a group of... Read More about Mathematical modelling of cytokines, MMPs and fibronectin fragments in osteoarthritic cartilage.