All Outputs (9)

Free boundary problems for Stokes flow, with applications to the growth of biological tissues (2021)
Journal Article
King, J., & Venkataraman, C. (2021). Free boundary problems for Stokes flow, with applications to the growth of biological tissues. Interfaces and Free Boundaries, 23(4), 433–458. https://doi.org/10.4171/IFB/459

We formulate, analyse and numerically simulate what are arguably the two simplest Stokes-flow free boundary problems relevant to tissue growth, extending the classical Stokes free boundary problem by incorporating (i) a volumetric source (the nutrien... Read More about Free boundary problems for Stokes flow, with applications to the growth of biological tissues.

Solutions with snaking singularities for the fast diffusion equation (2021)
Journal Article
Fila, M., King, J. R., Takahashi, J., & Yanagida, E. (2021). Solutions with snaking singularities for the fast diffusion equation. Transactions of the American Mathematical Society, 374(12), 8775-8792. https://doi.org/10.1090/tran/8479

We construct solutions of the fast diffusion equation, which exist for all t ∈ R and are singular on the set γ(t) := is(s);-∞ < s ≤ ct, c > 0, where ∈ C3(R;Rn), n ≥ 2. We also give a precise description of the behavior of the solutions near γ (t). Read More about Solutions with snaking singularities for the fast diffusion equation.

Multiscale analysis of nutrient uptake by plant roots with sparse distribution of root hairs: nonstandard scaling (2021)
Journal Article
King, J. R., Köry, J., & Ptashnyk, M. (2021). Multiscale analysis of nutrient uptake by plant roots with sparse distribution of root hairs: nonstandard scaling. SIAM Journal on Applied Mathematics, 81(4), 1361-1388. https://doi.org/10.1137/19M1309626

In this paper we undertake a multiscale analysis of nutrient uptake by plant roots by considering different scale relations between the radius of root hairs and the distance between them. We combine the method of formal asymptotic expansions and rigo... Read More about Multiscale analysis of nutrient uptake by plant roots with sparse distribution of root hairs: nonstandard scaling.

Parameter estimation in fluorescence recovery after photobleaching: Quantitative analysis of protein binding reactions and diffusion (2021)
Journal Article
Williamson, D. E., Sahai, E., Jenkins, R. P., O'Dea, R. D., & King, J. R. (2021). Parameter estimation in fluorescence recovery after photobleaching: Quantitative analysis of protein binding reactions and diffusion. Journal of Mathematical Biology, 83, Article 1. https://doi.org/10.1007/s00285-021-01616-z

Fluorescence recovery after photobleaching (FRAP) is a common experimental method for investigating rates of molecular redistribution in biological systems. Many mathematical models of FRAP have been developed, the purpose of which is usually the est... Read More about Parameter estimation in fluorescence recovery after photobleaching: Quantitative analysis of protein binding reactions and diffusion.

An optogenetic method for interrogating YAP1 and TAZ nuclear-cytoplasmic shuttling (2021)
Journal Article
Dowbaj, A. M., Jenkins, R. P., Williamson, D., Heddleston, J. M., Ciccarelli, A., Fallesen, T., …Sahai, E. (2021). An optogenetic method for interrogating YAP1 and TAZ nuclear-cytoplasmic shuttling. Journal of Cell Science, 134(13), Article 5520657. https://doi.org/10.1242/jcs.253484

The shuttling of transcription factors and transcriptional regulators into and out of the nucleus is central to the regulation of many biological processes. Here we describe a new method for studying the rates of nuclear entry and exit of transcripti... Read More about An optogenetic method for interrogating YAP1 and TAZ nuclear-cytoplasmic shuttling.

Time dependent asymptotic analysis of the gene regulatory network of the AcrAB-TolC efflux pump system in gram-negative bacteria (2021)
Journal Article
Youlden, G. H., Ricci, V., Wang-Kan, X., Piddock, L. J., Jabbari, S., & King, J. R. (2021). Time dependent asymptotic analysis of the gene regulatory network of the AcrAB-TolC efflux pump system in gram-negative bacteria. Journal of Mathematical Biology, 82, Article 31. https://doi.org/10.1007/s00285-021-01576-4

Efflux pumps are a mechanism of intrinsic and evolved resistance in bacteria. If an efflux pump can expel an antibiotic so that its concentration within the cell is below a killing threshold the bacteria are resistant to the antibiotic. Efflux pumps... Read More about Time dependent asymptotic analysis of the gene regulatory network of the AcrAB-TolC efflux pump system in gram-negative bacteria.

A Model to Investigate the Impact of Farm Practice on Antimicrobial Resistance in UK Dairy Farms (2021)
Journal Article
Lanyon, C. W., King, J. R., Stekel, D. J., & Gomes, R. L. (2021). A Model to Investigate the Impact of Farm Practice on Antimicrobial Resistance in UK Dairy Farms. Bulletin of Mathematical Biology, 83(4), Article 36. https://doi.org/10.1007/s11538-021-00865-9

© 2021, The Author(s). The ecological and human health impact of antibiotic use and the related antimicrobial resistance (AMR) in animal husbandry is poorly understood. In many countries, there has been considerable pressure to reduce overall antibio... Read More about A Model to Investigate the Impact of Farm Practice on Antimicrobial Resistance in UK Dairy Farms.

Physicochemical and metabolic constraints for thermodynamics-based stoichiometric modelling under mesophilic growth conditions (2021)
Journal Article
Tomi-Andrino, C., Norman, R., Millat, T., Soucaille, P., Winzer, K., Barrett, D. A., …Kim, D. (2021). Physicochemical and metabolic constraints for thermodynamics-based stoichiometric modelling under mesophilic growth conditions. PLoS Computational Biology, 17(1), Article e1007694. https://doi.org/10.1371/journal.pcbi.1007694

© 2021 Tomi-Andrino et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source a... Read More about Physicochemical and metabolic constraints for thermodynamics-based stoichiometric modelling under mesophilic growth conditions.

Termination points and homoclinic glueing for a class of inhomogeneous nonlinear ordinary differential equations (2021)
Journal Article
Keeler, J., Blyth, M., & King, J. (2021). Termination points and homoclinic glueing for a class of inhomogeneous nonlinear ordinary differential equations. Nonlinearity, 34(1), 532-561. https://doi.org/10.1088/1361-6544/abb18f

Solutions u(x) to the class of inhomogeneous nonlinear ordinary differential equations taking the form u + u 2 = ?f (x) for parameter ? are studied. The problem is defined on the x line with decay of both the solution u(x) and the imposed forcing f (... Read More about Termination points and homoclinic glueing for a class of inhomogeneous nonlinear ordinary differential equations.