Research Repository

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Upscaling diffusion through first-order volumetric sinks: a homogenization of bacterial nutrient uptake (2018)
Journal Article
Dalwadi, M. P., Wang, Y., King, J. R., & Minton, N. P. (in press). Upscaling diffusion through first-order volumetric sinks: a homogenization of bacterial nutrient uptake. SIAM Journal on Applied Mathematics, 78(3), doi:10.1137/17M1138625. ISSN 0036-1399

In mathematical models that include nutrient delivery to bacteria, it is prohibitively expensive to include a pointwise nutrient uptake within small bacterial regions over bioreactor length-scales, and so such models often impose an effective uptake... Read More

Applying asymptotic methods to synthetic biology: modelling the reaction kinetics of the mevalonate pathway (2017)
Journal Article
Dalwadi, M. P., Garavaglia, M., Webb, J. P., King, J. R., & Minton, N. P. (2018). Applying asymptotic methods to synthetic biology: modelling the reaction kinetics of the mevalonate pathway. Journal of Theoretical Biology, 439, doi:10.1016/j.jtbi.2017.11.022. ISSN 0022-5193

The mevalonate pathway is normally found in eukaryotes, and allows for the production of isoprenoids, a useful class of organic compounds. This pathway has been successfully introduced to Escherichia coli, enabling a biosynthetic production route for... Read More

The effect of weak inertia in rotating high-aspect-ratio vessel bioreactors (2017)
Journal Article
Dalwadi, M. P., Chapman, S. J., Oliver, J. M., & Waters, S. L. (2018). The effect of weak inertia in rotating high-aspect-ratio vessel bioreactors. Journal of Fluid Mechanics, 835, doi:10.1017/jfm.2017.760. ISSN 0022-1120

One method to grow artificial body tissue is to place a porous scaffold seeded with cells, known as a tissue construct, into a rotating bioreactor filled with a nutrient-rich fluid. The flow within the bioreactor is affected by the movement of the co... Read More

Mathematical modelling of chemical agent removal by reaction with an immiscible cleanser (2017)
Journal Article
Dalwadi, M. P., O'Kiely, D., Thomson, S., Khaleque, T., & Hall, C. (in press). Mathematical modelling of chemical agent removal by reaction with an immiscible cleanser. SIAM Journal on Applied Mathematics, 77(6), doi:10.1137/16M1101647. ISSN 0036-1399

When a hazardous chemical agent has soaked into a porous medium, such as concrete, it can be difficult to neutralise. One removal method is chemical decontamination, where a cleanser is applied to react with and neutralise the agent, forming less har... Read More

A multiscale method to calculate filter blockage (2016)
Journal Article
Dalwadi, M. P., Bruna, M., & Griffiths, I. M. (in press). A multiscale method to calculate filter blockage. Journal of Fluid Mechanics, 809, doi:10.1017/jfm.2016.656. ISSN 0022-1120

Filters that act by adsorbing contaminant onto their pore walls will experience a decrease in porosity over time, and may eventually block. As adsorption will generally be greater towards the entrance of a filter, where the concentration of contamina... Read More

On the boundary layer structure near a highly permeable porous interface (2016)
Journal Article
Dalwadi, M. P., Chapman, S. J., Waters, S. L., & Oliver, J. M. (2016). On the boundary layer structure near a highly permeable porous interface. Journal of Fluid Mechanics, 798, doi:10.1017/jfm.2016.308. ISSN 0022-1120

The method of matched asymptotic expansions is used to study the canonical problem of steady laminar flow through a narrow two-dimensional channel blocked by a tight-fitting finite-length highly permeable porous obstacle. We investigate the behaviour... Read More

Understanding how porosity gradients can make a better filter using homogenization theory (2015)
Journal Article
Dalwadi, M. P., Griffiths, I. M., & Bruna, M. (2015). Understanding how porosity gradients can make a better filter using homogenization theory. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 471(2182), doi:10.1098/rspa.2015.0464. ISSN 1364-5021

Filters whose porosity decreases with depth are often more efficient at removing solute from a fluid than filters with a uniform porosity. We investigate this phenomenon via an extension of homogenization theory that accounts for a macroscale variati... Read More