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Diffusion Processes at Nanoscale

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Multidisciplinary Mathematical Modelling

Part of the book series: SEMA SIMAI Springer Series ((ICIAM2019SSSS,volume 11))

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Abstract

It is well-known that many properties of nanoparticles, such as luminescence, photostability, optical radiation efficiencies and electric properties among others, are size dependent. Hence, the ability to create nanoparticles of a specific size is crucial. Starting from a mathematical description of the nanoparticle growth process and guidelines for efficient growth strategies, I will show a specific practical application of nanoparticles, namely targeted drug delivery. The physical situation modelled involves the motion of a non-Newtonian nanofluid subject to an external magnetic field and an advection–diffusion equation for the concentration of the nanoparticles in the fluid. The ultimate goal is to determine strategies to maximise drug delivery to a specific site.

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Acknowledgements

I would like to thank Dr. Katerina Kaouri and Prof. Tim Phillips from Cardiff University which hosted me for three months, giving me the chance to work with them on the drug delivery problem. I would also like to thank my PhD supervisor Prof. Tim Myers for collaborating in the whole study.

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Fanelli, C. (2021). Diffusion Processes at Nanoscale. In: Font, F., Myers, T.G. (eds) Multidisciplinary Mathematical Modelling. SEMA SIMAI Springer Series(), vol 11. Springer, Cham. https://doi.org/10.1007/978-3-030-64272-3_4

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