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Mutation and Selection in Bacteria: Modelling and Calibration (2018)
Journal Article
Bayliss, C. D., Fallaize, C., Howitt, R., & Tretyakov, M. V. (2019). Mutation and Selection in Bacteria: Modelling and Calibration. Bulletin of Mathematical Biology, 81(3), 639-675. https://doi.org/10.1007/s11538-018-0529-9

© 2018, The Author(s). Temporal evolution of a clonal bacterial population is modelled taking into account reversible mutation and selection mechanisms. For the mutation model, an efficient algorithm is proposed to verify whether experimental data ca... Read More about Mutation and Selection in Bacteria: Modelling and Calibration.

Effect of uncertainty in external forcing on a fluid lubricated bearing (2018)
Conference Proceeding
Bailey, N., Power, H., Tretyakov, M., & Hibberd, S. (2018). Effect of uncertainty in external forcing on a fluid lubricated bearing. In K. Lucchesi Cavalca, & H. I. Weber (Eds.), Proceedings of the 10th International Conference on Rotor Dynamics – IFToMM (443-459). https://doi.org/10.1007/978-3-319-99272-3_31

Developments in industrial applications motivate improvements in fluid lubricated bearing technology, enabling smaller face clearances and increased rotation rates. Associated film lubrication technology aims to improve efficiency and reliability. A... Read More about Effect of uncertainty in external forcing on a fluid lubricated bearing.

Bayesian inversion in resin transfer molding (2018)
Journal Article
Iglesias, M., Park, M., & Tretyakov, M. (2018). Bayesian inversion in resin transfer molding. Inverse Problems, 34(10), Article 105002. https://doi.org/10.1088/1361-6420/aad1cc

We study a Bayesian inverse problem arising in the context of Resin Transfer Molding (RTM), which is a process commonly used for the manufacturing of fiber- reinforced composite materials. The forward model is described by a moving boundary problem i... Read More about Bayesian inversion in resin transfer molding.

Evaluation of the minimum face clearance of a high speed gas lubricated bearing with Navier slip boundary conditions under random excitations (2018)
Journal Article
Bailey, N., Hibberd, S., Power, H., & Tretyakov, M. (2018). Evaluation of the minimum face clearance of a high speed gas lubricated bearing with Navier slip boundary conditions under random excitations. Journal of Engineering Mathematics, 112(1), 17–35. https://doi.org/10.1007/s10665-018-9963-9

Motivated by ongoing developments in aero-engine technology, a model for a coupled gas lubricated bearing is developed in terms of an extended dynamical system. A slip boundary condition, characterised by a slip length, is incorporated on the bearing... Read More about Evaluation of the minimum face clearance of a high speed gas lubricated bearing with Navier slip boundary conditions under random excitations.