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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.

Root hydrotropism is controlled via a cortex-specific growth mechanism (2017)
Journal Article
Dietrich, D., Pang, L., Kobayashi, A., Fozard, J. A., Boudolf, V., Bhosale, R., …Bennett, M. J. (2017). Root hydrotropism is controlled via a cortex-specific growth mechanism. Nature Plants, 3(6), Article 17057. https://doi.org/10.1038/nplants.2017.57

Plants can acclimate by using tropisms to link the direction of growth to environmental conditions. Hydrotropism allows roots to forage for water, a process known to depend on abscisic acid (ABA) but whose molecular and cellular basis remains unclear... Read More about Root hydrotropism is controlled via a cortex-specific growth mechanism.

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.